<?xml version='1.0' encoding='UTF-8'?><?xml-stylesheet href="http://www.blogger.com/styles/atom.css" type="text/css"?><feed xmlns='http://www.w3.org/2005/Atom' xmlns:openSearch='http://a9.com/-/spec/opensearchrss/1.0/' xmlns:georss='http://www.georss.org/georss' xmlns:gd='http://schemas.google.com/g/2005' xmlns:thr='http://purl.org/syndication/thread/1.0'><id>tag:blogger.com,1999:blog-7972338390481108463</id><updated>2012-01-12T04:42:17.741-08:00</updated><category term='Inter I Year Practicals'/><category term='Vernier Calipers'/><category term='experiments'/><category term='Practicals'/><category term='Screw Gauge'/><category term='Scheme of valuation'/><category term='Practical exam Question bank'/><category term='Measurements'/><title type='text'>Practical Physics</title><subtitle type='html'>This blog will be useful for the students of Intermediate M.P.C &amp;amp; Bi.P.C groups.This blog is written keeping in mind the practicals syllabus of Board of Intermediate,Andhrapradesh.</subtitle><link rel='http://schemas.google.com/g/2005#feed' type='application/atom+xml' href='http://gyanraj.blogspot.com/feeds/posts/default'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7972338390481108463/posts/default?max-results=100'/><link rel='alternate' type='text/html' href='http://gyanraj.blogspot.com/'/><link rel='hub' href='http://pubsubhubbub.appspot.com/'/><author><name>chavan gyanraj</name><uri>http://www.blogger.com/profile/02460504823573498104</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='31' height='32' src='http://1.bp.blogspot.com/_vqDIAUuYyxg/SV9M8exWCkI/AAAAAAAAACs/pvOlQ950TkE/S220/cgr6.jpg'/></author><generator version='7.00' uri='http://www.blogger.com'>Blogger</generator><openSearch:totalResults>9</openSearch:totalResults><openSearch:startIndex>1</openSearch:startIndex><openSearch:itemsPerPage>100</openSearch:itemsPerPage><entry><id>tag:blogger.com,1999:blog-7972338390481108463.post-33464464611646090</id><published>2009-03-11T08:50:00.000-07:00</published><updated>2009-03-11T09:15:14.370-07:00</updated><category scheme='http://www.blogger.com/atom/ns#' term='Screw Gauge'/><category scheme='http://www.blogger.com/atom/ns#' term='Practical exam Question bank'/><category scheme='http://www.blogger.com/atom/ns#' term='Vernier Calipers'/><title type='text'>Find the volume of the given rectangular glass plate using vernier calipers and screw gauge.</title><content type='html'>&lt;p&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;span style="text-decoration: underline;"&gt;&lt;strong&gt;Formulae&lt;/strong&gt;&lt;/span&gt;&lt;/span&gt;:&lt;/p&gt; &lt;p&gt;i) Least count of vernier calipers (L.C) = &lt;img title="\frac{S}{N}" src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7BS%7D%7BN%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{S}{N}" /&gt; mm,&lt;/p&gt; &lt;p&gt;S = value of 1 Main scale division , N = Number of vernier divisions.&lt;/p&gt; &lt;p&gt;ii ) Total reading  = Main scale reading (a) mm + ( n*L.C ) mm&lt;/p&gt; &lt;p&gt;iii) Pitch of the screw =   &lt;img title=" \frac{Distance moved by sloped edge over the pitch scale}{Number of rotations of the screw}" src="http://l.wordpress.com/latex.php?latex=+%5Cfrac%7BDistance+moved+by+sloped+edge+over+the+pitch+scale%7D%7BNumber+of+rotations+of+the+screw%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt=" \frac{Distance moved by sloped edge over the pitch scale}{Number of rotations of the screw}" /&gt;&lt;/p&gt; &lt;p&gt;iv) Least count  of Screw gauge (L.C) = &lt;img title="\frac{Pitch of the screw}{Number of divisions on  Head scale}" src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7BPitch+of+the+screw%7D%7BNumber+of+divisions+on++Head+scale%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{Pitch of the screw}{Number of divisions on  Head scale}" /&gt;&lt;/p&gt; &lt;p&gt;v) Total Reading = P.S.R +&lt;img title="n\times L.C" src="http://l.wordpress.com/latex.php?latex=n%5Ctimes+L.C&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="n\times L.C" /&gt; ,&lt;/p&gt; &lt;p&gt;P.S.R = Pitch scale reading , n= Corrected Head scale reading , L.C = Least  count&lt;/p&gt; &lt;p&gt;vi) Volume of the glass plate V = &lt;img src="http://l.wordpress.com/latex.php?latex=l%5Ctimes%7Bb%7D%5Ctimes%7Bh%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="l\times{b}\times{h}" title="l\times{b}\times{h}" class="latex" /&gt; &lt;img src="http://l.wordpress.com/latex.php?latex=mm%5E3&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="mm^3" title="mm^3" class="latex" /&gt;&lt;/p&gt; &lt;p&gt;l = length of the glass plate, b = breadth of glass plate , h = Thickness of  glass plate.&lt;/p&gt; &lt;p&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;span style="text-decoration: underline;"&gt;&lt;strong&gt;Procedure&lt;/strong&gt;&lt;/span&gt;&lt;/span&gt; :First we have to determine the least count count of the given  vernier calipers.&lt;/p&gt; &lt;p&gt;From the given vernier calipers&lt;/p&gt; &lt;p&gt;S= Length of Main scale division = 1 mm = 0.1 cm,&lt;/p&gt; &lt;p&gt;N = Number of vernier scale divisions = 10 ,&lt;/p&gt; &lt;p&gt;Substitute these values in the formula of Least count L.C = &lt;img title="\frac{S}{N}" src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7BS%7D%7BN%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{S}{N}" /&gt; = &lt;img title="\frac{0.1}{10}" src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B0.1%7D%7B10%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{0.1}{10}" /&gt; =0.01 cm.&lt;/p&gt; &lt;p style="text-align: center;"&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;Draw neat diagram of Vernier calipers&lt;/span&gt;&lt;/p&gt; &lt;p&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;span style="text-decoration: underline;"&gt;&lt;strong&gt;Part I&lt;/strong&gt;&lt;/span&gt;&lt;/span&gt; : &lt;span style="color: rgb(51, 102, 255);"&gt;To determine the length ( &lt;em&gt;l &lt;/em&gt;)and breadth (b) of the given  glass plate with vernier calipers &lt;/span&gt;:The given glass plate is held between two jaws of vernier calipers, first to measure its length.Note down the values of the Main scale reading (M.S.R ) and vernier coincidence (VC) in Table-I, take 3set of readings by placing the glass plate in 3 different positions.Each time calculate the total reading by substituting the values of M.S.R and VC in the formula Total reading = M.S.R + (&lt;img src="http://l.wordpress.com/latex.php?latex=VC%5Ctimes+L.C&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="VC\times L.C" title="VC\times L.C" class="latex" /&gt;.&lt;/p&gt; &lt;p&gt;Find the average of 3readings and calculate Average Length ( &lt;em&gt;l &lt;/em&gt;)of  the given glass plate.&lt;/p&gt; &lt;p&gt;Now hold the glass plate between jaws of vernier calipers breadth wise ,repeat the experiment as above , note down the 3 set of readings of M.S.R and VC in Table-II.Calculate average breadth (b) of the glass plate&lt;/p&gt; &lt;p&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;span style="text-decoration: underline;"&gt;&lt;strong&gt;Part II&lt;/strong&gt;&lt;/span&gt;&lt;/span&gt;: &lt;span style="color: rgb(51, 102, 255);"&gt;To determine thickness(h) of glass plate using Screw gauge&lt;/span&gt;:First we  have to determine the least count of the given Screw gauge.&lt;/p&gt; &lt;p&gt;Number of complete rotations of the screw = 5&lt;/p&gt; &lt;p&gt;Distance moved by  sloped edge  over the pitch scale = 5mm&lt;/p&gt; &lt;p&gt;Pitch of the screw = &lt;img title=" \frac{Distance moved by sloped edge over the pitch scale}{Number of rotations of the screw}" src="http://l.wordpress.com/latex.php?latex=+%5Cfrac%7BDistance+moved+by+sloped+edge+over+the+pitch+scale%7D%7BNumber+of+rotations+of+the+screw%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt=" \frac{Distance moved by sloped edge over the pitch scale}{Number of rotations of the screw}" /&gt; = &lt;img title="\frac{5mm}{5}" src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B5mm%7D%7B5%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{5mm}{5}" /&gt; =1mm.&lt;/p&gt; &lt;p&gt;Number of divisions on the head scale = 100&lt;/p&gt; &lt;p&gt;Least count (L.C) = &lt;img title="\frac{Pitch of the screw}{Number of divisions on  Head scale}" src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7BPitch+of+the+screw%7D%7BNumber+of+divisions+on++Head+scale%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{Pitch of the screw}{Number of divisions on  Head scale}" /&gt; = &lt;img title="\frac{1mm}{100}" src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B1mm%7D%7B100%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{1mm}{100}" /&gt; =0.01mm&lt;/p&gt; &lt;p style="text-align: center;"&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;Draw neat diagram of Screw Gauge&lt;/span&gt;&lt;/p&gt; &lt;p&gt;&lt;span style="text-decoration: underline;"&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;strong&gt;Zero Error&lt;/strong&gt; &lt;/span&gt;&lt;/span&gt;:Now check whether the given screw gauge has any ZERO ERROR or not. To determine the ZERO ERROR, the head H is rotated until the flat end of the screw  &lt;img title="S_2" src="http://l.wordpress.com/latex.php?latex=S_2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="S_2" /&gt; touches the plane surface of the stud &lt;img title="S_1" src="http://l.wordpress.com/latex.php?latex=S_1&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="S_1" /&gt; (do not apply excess pressure) i.e we have to rotate the head only by means of  safety device ‘D’ only.&lt;/p&gt; &lt;p style="text-align: center;"&gt;&lt;img class="aligncenter" title="zero-error" src="http://gyaunnrraje.files.wordpress.com/2009/02/zero-error.jpg?w=334&amp;amp;h=153&amp;amp;h=153" alt="zero-error" width="334" height="153" /&gt;&lt;/p&gt; &lt;p&gt;When &lt;img title="S_1" src="http://l.wordpress.com/latex.php?latex=S_1&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="S_1" /&gt; and &lt;img title="S_2" src="http://l.wordpress.com/latex.php?latex=S_2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="S_2" /&gt; are in contact,the zero of the head scale perfectly coincides with the index line as in Fig-(a). In such case there will be no ZERO ERROR and no correction is required.&lt;/p&gt; &lt;p&gt;When &lt;img title="S_1" src="http://l.wordpress.com/latex.php?latex=S_1&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="S_1" /&gt; and &lt;img title="S_2" src="http://l.wordpress.com/latex.php?latex=S_2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="S_2" /&gt; are in contact,the zero of the head scale is below the index line as in Fig(b), such ZERO ERROR is called positive ZERO ERROR, and the correction is negative.&lt;/p&gt; &lt;p&gt;When &lt;img title="S_1" src="http://l.wordpress.com/latex.php?latex=S_1&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="S_1" /&gt; and &lt;img title="S_2" src="http://l.wordpress.com/latex.php?latex=S_2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="S_2" /&gt; are in contact,the zero of the head scale is above the index line as in Fig(c) , such ZERO ERROR is called negative ZERO ERROR, and the correction is positive.&lt;/p&gt; &lt;p&gt;When &lt;img title="S_1" src="http://l.wordpress.com/latex.php?latex=S_1&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="S_1" /&gt; and &lt;img title="S_2" src="http://l.wordpress.com/latex.php?latex=S_2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="S_2" /&gt; are in contact,98 th division of head scale is coinciding with index line i.e the zero of the head scale is 3 divisions below the index line as in Fig(b), such ZERO ERROR is called positive ZERO ERROR, and the correction is negative.&lt;/p&gt; &lt;p&gt;The Zero correction for the given screw gauge = - 2&lt;/p&gt; &lt;p&gt;The given glass plate is  held between the two parallel surfaces of fix stud  &lt;img title="S_1" src="http://l.wordpress.com/latex.php?latex=S_1&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="S_1" /&gt; and screw tip &lt;img title="S_2" src="http://l.wordpress.com/latex.php?latex=S_2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="S_2" /&gt;. Note the completed number of divisions on pitch scale, which is called PITCH SCALE READING (P.S.R). The number of the head scale division coinciding with the index line is noted, which is called OBSERVED HEAD SCALE READING  n’. If the given screw gauge has ZERO ERROR (x) the correction is made by adding or subtracting the ZERO ERROR (x) from the  OBSERVED HEAD SCALE READING  n’.The corrected value (n’-x) or (n’+x)  is called the HEAD SCALE READING (H.S.R) n.&lt;/p&gt; &lt;p&gt;To calculate the fraction the H.S.R (n) is multiplied by the least count  (L.C).&lt;/p&gt; &lt;p&gt;Diameter of first wire = Total reading = P.S.R +&lt;img title="n\times L.C" src="http://l.wordpress.com/latex.php?latex=n%5Ctimes+L.C&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="n\times L.C" /&gt; -  -  -  -   -  - (1)&lt;/p&gt; &lt;p&gt;Changing the position of the glass plate, 3 readings should be taken, and recorded in the table-III. Every time calculate the total thickness (h)of glass plate using equation (1).&lt;/p&gt; &lt;p&gt;Calculate average of 3readings which is average thickness (h) of glass plate.&lt;/p&gt; &lt;p&gt;&lt;strong&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;span style="text-decoration: underline;"&gt;Table-I: Length (&lt;em&gt;l)&lt;/em&gt; of the glass plate&lt;/span&gt;&lt;/span&gt; &lt;/strong&gt; :&lt;/p&gt; &lt;table border="1" cellpadding="2" cellspacing="0" width="611"&gt; &lt;tbody&gt; &lt;tr&gt; &lt;td align="middle" width="62"&gt;S.No&lt;/td&gt; &lt;td align="middle" width="130"&gt;M.S.R&lt;br /&gt;a cm&lt;/td&gt; &lt;td align="middle" width="145"&gt;Vernier Coincidence   (n)&lt;/td&gt; &lt;td align="middle" width="96"&gt;Fraction   b=n*L.C&lt;/td&gt; &lt;td align="middle" width="176"&gt;Total Reading         (a+b) cm&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="63"&gt;1&lt;/td&gt; &lt;td align="middle" width="133"&gt;2.5&lt;/td&gt; &lt;td align="middle" width="144"&gt;8&lt;/td&gt; &lt;td align="middle" width="97"&gt;0.01*8=0.08&lt;/td&gt; &lt;td align="middle" width="173"&gt;2.58&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="63"&gt;2&lt;/td&gt; &lt;td align="middle" width="136"&gt;2.5&lt;/td&gt; &lt;td align="middle" width="144"&gt;9&lt;/td&gt; &lt;td align="middle" width="97"&gt;0.01*9=0.09&lt;/td&gt; &lt;td align="middle" width="172"&gt;2.59&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="64"&gt;3&lt;/td&gt; &lt;td align="middle" width="138"&gt;2.5&lt;/td&gt; &lt;td align="middle" width="143"&gt;7&lt;/td&gt; &lt;td align="middle" width="97"&gt;0.01*7=0.07&lt;/td&gt; &lt;td align="middle" width="171"&gt;2.57&lt;/td&gt; &lt;/tr&gt; &lt;/tbody&gt; &lt;/table&gt; &lt;p&gt;Average length of glass plate (&lt;em&gt;l)&lt;/em&gt; = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B2.58%2B2.59%2B2.57%7D%7B3%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{2.58+2.59+2.57}{3}" title="\frac{2.58+2.59+2.57}{3}" class="latex" /&gt;  = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B7.74%7D%7B3%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{7.74}{3}" title="\frac{7.74}{3}" class="latex" /&gt; = 2.58 cm&lt;/p&gt; &lt;p&gt;Average length of glass plate (&lt;em&gt;l)&lt;/em&gt; = 2.58 cm or 25.8mm&lt;/p&gt; &lt;p&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;span style="text-decoration: underline;"&gt;&lt;strong&gt;Table-II: Breadth (b)of the glass plate&lt;/strong&gt;&lt;/span&gt;&lt;/span&gt; :&lt;/p&gt; &lt;table border="1" cellpadding="2" cellspacing="0" width="627"&gt; &lt;tbody&gt; &lt;tr&gt; &lt;td align="middle" width="61"&gt;S.No&lt;/td&gt; &lt;td align="middle" width="144"&gt;M.S.R                   a cm&lt;/td&gt; &lt;td align="middle" width="130"&gt;Vernier Coincidence   (n)&lt;/td&gt; &lt;td align="middle" width="104"&gt;Fraction   b=n*L.C&lt;/td&gt; &lt;td align="middle" width="186"&gt;Total Reading               (a+b) cm&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="62"&gt;1&lt;/td&gt; &lt;td align="middle" width="144"&gt;1.1&lt;/td&gt; &lt;td align="middle" width="129"&gt;4&lt;/td&gt; &lt;td align="middle" width="104"&gt;0.01*4=0.04&lt;/td&gt; &lt;td align="middle" width="186"&gt;1.14&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="62"&gt;2&lt;/td&gt; &lt;td align="middle" width="144"&gt;1.1&lt;/td&gt; &lt;td align="middle" width="129"&gt;5&lt;/td&gt; &lt;td align="middle" width="104"&gt;0.01*5=0.05&lt;/td&gt; &lt;td align="middle" width="186"&gt;1.15&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="62"&gt;3&lt;/td&gt; &lt;td align="middle" width="144"&gt;1.1&lt;/td&gt; &lt;td align="middle" width="129"&gt;5&lt;/td&gt; &lt;td align="middle" width="104"&gt;0.01*5=0.05&lt;/td&gt; &lt;td align="middle" width="186"&gt;1.15&lt;/td&gt; &lt;/tr&gt; &lt;/tbody&gt; &lt;/table&gt; &lt;p&gt;Average Breadth of glass plate (b&lt;em&gt;)&lt;/em&gt; = &lt;img src="http://l.wordpress.com/latex.php?latex=+%5Cfrac%7B1.14%2B1.15%2B1.15%7D%7B3%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt=" \frac{1.14+1.15+1.15}{3}" title=" \frac{1.14+1.15+1.15}{3}" class="latex" /&gt; = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B3.44%7D%7B3%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{3.44}{3}" title="\frac{3.44}{3}" class="latex" /&gt; = 1.15 cm.&lt;/p&gt; &lt;p&gt;Average Breadth of glass plate (b&lt;em&gt;)&lt;/em&gt; = 1.15 cm or 11.5 mm.&lt;/p&gt; &lt;p&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;span style="text-decoration: underline;"&gt;&lt;strong&gt;Table-III: Thickness  (h)of the glass plate&lt;/strong&gt;&lt;/span&gt;&lt;/span&gt; :&lt;/p&gt; &lt;table border="1" cellpadding="2" cellspacing="0" width="625"&gt; &lt;tbody&gt; &lt;tr&gt; &lt;td align="middle" width="51"&gt; &lt;p align="center"&gt;S.No&lt;/p&gt; &lt;/td&gt; &lt;td align="middle" width="69"&gt; &lt;p align="center"&gt;Pitch Scale Reading (P.S.R) amm&lt;/p&gt; &lt;/td&gt; &lt;td align="middle" width="80"&gt; &lt;p align="center"&gt;Observed H.S.R    (n’)&lt;/p&gt; &lt;/td&gt; &lt;td align="middle" width="96"&gt; &lt;p align="center"&gt;Correction   (x)&lt;/p&gt; &lt;/td&gt; &lt;td align="middle" width="83"&gt; &lt;p align="center"&gt;Corrected H.S.R  n=n’(+/-)x&lt;/p&gt; &lt;/td&gt; &lt;td align="middle" width="94"&gt; &lt;p align="center"&gt;Fraction  b=n*L.C&lt;/p&gt; &lt;/td&gt; &lt;td align="middle" width="147"&gt; &lt;p align="center"&gt;Total         reading            (a+b) mm&lt;/p&gt; &lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="50"&gt; &lt;p align="center"&gt;1&lt;/p&gt; &lt;/td&gt; &lt;td align="middle" width="69"&gt;2&lt;/td&gt; &lt;td align="middle" width="81"&gt;75&lt;/td&gt; &lt;td align="middle" width="96"&gt;2&lt;/td&gt; &lt;td align="middle" width="83"&gt;75-2=73&lt;/td&gt; &lt;td align="middle" width="94"&gt;73*0.01=0.73&lt;/td&gt; &lt;td align="middle" width="147"&gt;2.73&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="52"&gt;2&lt;/td&gt; &lt;td align="middle" width="70"&gt;2&lt;/td&gt; &lt;td align="middle" width="81"&gt;74&lt;/td&gt; &lt;td align="middle" width="96"&gt;2&lt;/td&gt; &lt;td align="middle" width="83"&gt;74-2=72&lt;/td&gt; &lt;td align="middle" width="94"&gt;72*0.01=0.72&lt;/td&gt; &lt;td align="middle" width="147"&gt;2.72&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="51"&gt;3&lt;/td&gt; &lt;td align="middle" width="70"&gt;2&lt;/td&gt; &lt;td align="middle" width="81"&gt;76&lt;/td&gt; &lt;td align="middle" width="96"&gt;2&lt;/td&gt; &lt;td align="middle" width="83"&gt;76-2=74&lt;/td&gt; &lt;td align="middle" width="94"&gt;74*0.01=0.74&lt;/td&gt; &lt;td align="middle" width="147"&gt;2.74&lt;/td&gt; &lt;/tr&gt; &lt;/tbody&gt; &lt;/table&gt; &lt;p&gt;Average Thickness (h) of glass plate (b&lt;em&gt;)&lt;/em&gt; = &lt;img src="http://l.wordpress.com/latex.php?latex=+%5Cfrac%7B2.73%2B2.72%2B2.74%7D%7B3%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt=" \frac{2.73+2.72+2.74}{3}" title=" \frac{2.73+2.72+2.74}{3}" class="latex" /&gt; = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B8.19%7D%7B3%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{8.19}{3}" title="\frac{8.19}{3}" class="latex" /&gt; = 2.73 mm.&lt;/p&gt; &lt;p&gt;Average Thickness  of glass plate (h) = 2.73 mm.&lt;/p&gt; &lt;p&gt;&lt;strong&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;span style="text-decoration: underline;"&gt;Observations&lt;/span&gt;&lt;/span&gt; : &lt;/strong&gt;&lt;/p&gt; &lt;p&gt;i)Average length of glass plate (&lt;em&gt;l)&lt;/em&gt; = 2.58 cm or 25.8mm&lt;/p&gt; &lt;p&gt;ii)Average Breadth of glass plate (b&lt;em&gt;)&lt;/em&gt; = 1.15 cm or 11.5 mm.&lt;/p&gt; &lt;p&gt;iii)Average Thickness  of glass plate (h) = 2.73 mm.&lt;/p&gt; &lt;p&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;strong&gt;&lt;span style="text-decoration: underline;"&gt;Calculations&lt;/span&gt;&lt;/strong&gt;&lt;/span&gt; : Volume of the given glass plate V =  &lt;img src="http://l.wordpress.com/latex.php?latex=l%5Ctimes%7Bb%7D%5Ctimes%7Bh%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="l\times{b}\times{h}" title="l\times{b}\times{h}" class="latex" /&gt; &lt;img src="http://l.wordpress.com/latex.php?latex=mm%5E3&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="mm^3" title="mm^3" class="latex" /&gt;&lt;/p&gt; &lt;p&gt;Volume of the given glass plate V = &lt;img src="http://l.wordpress.com/latex.php?latex=25.8%5Ctimes11.5%5Ctimes2.73&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="25.8\times11.5\times2.73" title="25.8\times11.5\times2.73" class="latex" /&gt; &lt;img src="http://l.wordpress.com/latex.php?latex=+mm%5E3&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt=" mm^3" title=" mm^3" class="latex" /&gt; =809.99 &lt;img src="http://l.wordpress.com/latex.php?latex=mm%5E3&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="mm^3" title="mm^3" class="latex" /&gt;&lt;/p&gt; &lt;p&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;strong&gt;&lt;span style="text-decoration: underline;"&gt;Precautions&lt;/span&gt;&lt;/strong&gt;&lt;/span&gt; :&lt;/p&gt; &lt;p&gt;1) Take the M.S.R  and vernier coincide every time without parallax error.&lt;/p&gt; &lt;p&gt;2)Record all the reading in same system preferably in C.G.S system.&lt;/p&gt; &lt;p&gt;3) Do not apply excess pressure on the body held between the jaws.&lt;/p&gt; &lt;p&gt;4) Check for the ZERO error.When the two jaws of the vernier are in contact,if the zero division of the main scale coincides with the zero of the vernier scale no ZERO error will be there.If not ZERO error will be there, apply correction.&lt;/p&gt; &lt;p&gt;5) Pitch scale reading (P.S.R) should be taken carefully without parallax  error&lt;/p&gt; &lt;p&gt;6) Head scale reading (H.S.R) should be taken carefully without parallax  error&lt;/p&gt; &lt;p&gt;7)Screw must be rotated by holding the safety device ‘D’&lt;/p&gt; &lt;p&gt;8 ) Do not apply excess pressure on the object held between the surfaces &lt;img title="S_1" src="http://l.wordpress.com/latex.php?latex=S_1&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="S_1" /&gt; and &lt;img title="S_2" src="http://l.wordpress.com/latex.php?latex=S_2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="S_2" /&gt;.&lt;/p&gt; &lt;p&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;strong&gt;&lt;span style="text-decoration: underline;"&gt;Result &lt;/span&gt;&lt;/strong&gt;&lt;/span&gt;: Volume of the given glass plate is V= 809.99 &lt;img src="http://l.wordpress.com/latex.php?latex=mm%5E3&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="mm^3" title="mm^3" class="latex" /&gt;&lt;/p&gt; &lt;hr /&gt;&lt;strong&gt;&lt;/strong&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/7972338390481108463-33464464611646090?l=gyanraj.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://gyanraj.blogspot.com/feeds/33464464611646090/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://gyanraj.blogspot.com/2009_03_01_archive.html#33464464611646090#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7972338390481108463/posts/default/33464464611646090'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7972338390481108463/posts/default/33464464611646090'/><link rel='alternate' type='text/html' href='http://gyanraj.blogspot.com/2009_03_01_archive.html#33464464611646090' title='Find the volume of the given rectangular glass plate using vernier calipers and screw gauge.'/><author><name>chavan gyanraj</name><uri>http://www.blogger.com/profile/02460504823573498104</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='31' height='32' src='http://1.bp.blogspot.com/_vqDIAUuYyxg/SV9M8exWCkI/AAAAAAAAACs/pvOlQ950TkE/S220/cgr6.jpg'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7972338390481108463.post-1102538837417416652</id><published>2009-03-06T23:58:00.000-08:00</published><updated>2009-03-10T05:57:56.474-07:00</updated><title type='text'>Contents :</title><content type='html'>&lt;p&gt;&lt;strong&gt;&lt;span style="font-size:130%;"&gt;&lt;span style="color: rgb(0, 0, 255);"&gt;Physics practical syllabus for  Intermediate I &amp;amp; II year students of  Andhrapradesh&lt;/span&gt;.&lt;/span&gt;&lt;/strong&gt;&lt;/p&gt; &lt;ul&gt;&lt;li&gt;&lt;a href="http://gyanraj.blogspot.com/2009_01_01_archive.html#876933736335753452"&gt;&lt;span style="font-size:85%;"&gt;&lt;strong&gt;Vernier Calipers&lt;/strong&gt;&lt;/span&gt;&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="http://gyanraj.blogspot.com/2009_02_01_archive.html#2275737521731894318"&gt;&lt;span style="font-size:85%;"&gt;&lt;strong&gt;Screw Gauge&lt;/strong&gt;&lt;/span&gt;&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;span style="font-size:85%;"&gt;&lt;strong&gt;Spherometer&lt;/strong&gt;&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style="font-size:85%;"&gt;&lt;strong&gt;Physical Balence&lt;/strong&gt;&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style="font-size:85%;"&gt;&lt;strong&gt;Simple pendulum&lt;/strong&gt;&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style="font-size:85%;"&gt;&lt;strong&gt;Concurrent Forces&lt;/strong&gt;&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style="font-size:85%;"&gt;&lt;strong&gt;Boyle's Law&lt;/strong&gt;&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style="font-size:85%;"&gt;&lt;strong&gt;Specific Heat&lt;/strong&gt;&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style="font-size:85%;"&gt;&lt;strong&gt;Apparent Expansion of liquid&lt;/strong&gt;&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style="font-size:85%;"&gt;&lt;strong&gt;Surface Tension&lt;/strong&gt;&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style="font-size:85%;"&gt;&lt;strong&gt;Velocity of sound&lt;/strong&gt;&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style="font-size:85%;"&gt;&lt;strong&gt;Refractive Index (I - D Curve )&lt;/strong&gt;&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style="font-size:85%;"&gt;&lt;strong&gt;Concave Mirror&lt;/strong&gt;&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style="font-size:85%;"&gt;&lt;strong&gt;Convex Lens&lt;/strong&gt;&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style="font-size:85%;"&gt;&lt;strong&gt;Magnetic Field - Null points&lt;/strong&gt;&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style="font-size:85%;"&gt;&lt;strong&gt;Deflection Magnetometer&lt;/strong&gt;&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style="font-size:85%;"&gt;&lt;strong&gt;Ohm's Law&lt;/strong&gt;&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style="font-size:85%;"&gt;&lt;strong&gt;Tangent Galvanometer&lt;/strong&gt;&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style="font-size:85%;"&gt;&lt;strong&gt;Metre Bridge&lt;/strong&gt;&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style="font-size:85%;"&gt;&lt;strong&gt;Junction Diode ( I - V Charecteristics  )&lt;/strong&gt;&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style="font-size:85%;"&gt;&lt;strong&gt;&lt;a href="http://gyanraj.blogspot.com/2009_02_01_archive.html#3792232033232388858"&gt;Pattern of Question paper (Scheme of Valuation)&lt;/a&gt;&lt;br /&gt;&lt;/strong&gt;&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="http://gyanraj.blogspot.com/2009_02_01_archive.html#6147991433853579379"&gt;&lt;span style="font-size:85%;"&gt;&lt;strong&gt;Question Bank&lt;/strong&gt;&lt;/span&gt;&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/7972338390481108463-1102538837417416652?l=gyanraj.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://gyanraj.blogspot.com/feeds/1102538837417416652/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://gyanraj.blogspot.com/2009_03_01_archive.html#1102538837417416652#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7972338390481108463/posts/default/1102538837417416652'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7972338390481108463/posts/default/1102538837417416652'/><link rel='alternate' type='text/html' href='http://gyanraj.blogspot.com/2009_03_01_archive.html#1102538837417416652' title='Contents :'/><author><name>chavan gyanraj</name><uri>http://www.blogger.com/profile/02460504823573498104</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='31' height='32' src='http://1.bp.blogspot.com/_vqDIAUuYyxg/SV9M8exWCkI/AAAAAAAAACs/pvOlQ950TkE/S220/cgr6.jpg'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7972338390481108463.post-2407025441578902594</id><published>2009-03-04T09:18:00.000-08:00</published><updated>2009-03-04T09:38:08.185-08:00</updated><category scheme='http://www.blogger.com/atom/ns#' term='Screw Gauge'/><category scheme='http://www.blogger.com/atom/ns#' term='experiments'/><title type='text'>Compare the radii of given three wires using Screw Gauge.</title><content type='html'>&lt;div class="storycontent"&gt;   &lt;div class="snap_preview"&gt;&lt;p&gt;Formulae :&lt;/p&gt; &lt;p&gt;i ) Pitch of the screw =   &lt;img class="latex" title=" \frac{Distance moved by sloped edge over the pitch scale}{Number of rotations of the screw}" src="http://l.wordpress.com/latex.php?latex=+%5Cfrac%7BDistance+moved+by+sloped+edge+over+the+pitch+scale%7D%7BNumber+of+rotations+of+the+screw%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt=" \frac{Distance moved by sloped edge over the pitch scale}{Number of rotations of the screw}" /&gt;.&lt;/p&gt; &lt;p&gt;ii ) Least count (L.C) = &lt;img class="latex" title="\frac{Pitch of the screw}{Number of divisions on  Head scale}" src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7BPitch+of+the+screw%7D%7BNumber+of+divisions+on++Head+scale%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{Pitch of the screw}{Number of divisions on  Head scale}" /&gt;,&lt;/p&gt; &lt;p&gt;iii ) Total Reading = P.S.R +&lt;img class="latex" title="n\times L.C" src="http://l.wordpress.com/latex.php?latex=n%5Ctimes+L.C&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="n\times L.C" /&gt; ,&lt;/p&gt; &lt;p&gt;P.S.R = Pitch scale reading , n= Corrected Head scale reading , L.C = Least count&lt;/p&gt; &lt;p&gt;iv ) Ratio of radii of the three given wires  is &lt;img src="http://l.wordpress.com/latex.php?latex=r_1&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="r_1" title="r_1" class="latex" /&gt;:&lt;img src="http://l.wordpress.com/latex.php?latex=r_2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="r_2" title="r_2" class="latex" /&gt;:&lt;img src="http://l.wordpress.com/latex.php?latex=r_3&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="r_3" title="r_3" class="latex" /&gt;,&lt;/p&gt; &lt;p&gt;where &lt;img src="http://l.wordpress.com/latex.php?latex=r_1&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="r_1" title="r_1" class="latex" /&gt; = Average radius of first wire,&lt;/p&gt; &lt;p&gt;&lt;img src="http://l.wordpress.com/latex.php?latex=r_2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="r_2" title="r_2" class="latex" /&gt; =  Average radius of second wire,&lt;/p&gt; &lt;p&gt;&lt;img src="http://l.wordpress.com/latex.php?latex=r_3&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="r_3" title="r_3" class="latex" /&gt; = Average radius of third wire.&lt;/p&gt; &lt;p&gt;&lt;a href="http://4.bp.blogspot.com/_vqDIAUuYyxg/SZvt60jbhGI/AAAAAAAAAFc/CEG3eIY56gQ/s1600-h/PHOTO+8+001.jpg"&gt;Draw figure&lt;/a&gt;&lt;/p&gt; &lt;p&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;strong&gt;&lt;span style="text-decoration: underline;"&gt;Procedure&lt;/span&gt;&lt;/strong&gt;&lt;/span&gt; :First we have to determine the least count of the given Screw  gauge.&lt;/p&gt; &lt;p&gt;To determine the least count of the screw gauge, the head ‘H’ is rotated through certain (say 5) number of complete rotations.The distance moved by the sloped  edge over the pitch scale is measured.&lt;/p&gt; &lt;p&gt;Now substitute these values in the formula of pitch of the screw = &lt;img class="latex" title=" \frac{Distance moved by sloped edge over the pitch scale}{Number of rotations of the screw}" src="http://l.wordpress.com/latex.php?latex=+%5Cfrac%7BDistance+moved+by+sloped+edge+over+the+pitch+scale%7D%7BNumber+of+rotations+of+the+screw%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt=" \frac{Distance moved by sloped edge over the pitch scale}{Number of rotations of the screw}" /&gt;.&lt;/p&gt; &lt;p&gt;Least count L.C =  &lt;img class="latex" title="\frac{Pitch of the screw}{Number of divisions on  Head scale}" src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7BPitch+of+the+screw%7D%7BNumber+of+divisions+on++Head+scale%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{Pitch of the screw}{Number of divisions on  Head scale}" /&gt; .&lt;/p&gt; &lt;p&gt;Now check whether the given screw gauge has any ZERO ERROR or not. To determine the ZERO ERROR, the head H is rotated until the flat end of the screw  &lt;img class="latex" title="S_2" src="http://l.wordpress.com/latex.php?latex=S_2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="S_2" /&gt; touches the plane surface of the stud &lt;img class="latex" title="S_1" src="http://l.wordpress.com/latex.php?latex=S_1&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="S_1" /&gt; (do not apply  excess pressure) i.e we have to rotate the head only by means of safety device  ‘D’ only.&lt;/p&gt; &lt;p&gt;&lt;img class="aligncenter size-medium wp-image-1073" title="zero-error" src="http://gyaunnrraje.files.wordpress.com/2009/02/zero-error.jpg?w=334&amp;amp;h=153&amp;amp;h=153" alt="zero-error" width="334" height="153" /&gt;&lt;/p&gt; &lt;p&gt;When &lt;img class="latex" title="S_1" src="http://l.wordpress.com/latex.php?latex=S_1&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="S_1" /&gt; and &lt;img class="latex" title="S_2" src="http://l.wordpress.com/latex.php?latex=S_2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="S_2" /&gt; are in contact,the zero of the head scale perfectly coincides with the index line as in Fig-(a). In such case there will be no ZERO ERROR and no correction is required.&lt;/p&gt; &lt;p&gt;When &lt;img class="latex" title="S_1" src="http://l.wordpress.com/latex.php?latex=S_1&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="S_1" /&gt; and &lt;img class="latex" title="S_2" src="http://l.wordpress.com/latex.php?latex=S_2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="S_2" /&gt; are in contact,the zero of the head scale is below the index line as in Fig(b), such ZERO ERROR is called positive ZERO ERROR, and the correction is negative.&lt;/p&gt; &lt;p&gt;When &lt;img class="latex" title="S_1" src="http://l.wordpress.com/latex.php?latex=S_1&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="S_1" /&gt; and &lt;img class="latex" title="S_2" src="http://l.wordpress.com/latex.php?latex=S_2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="S_2" /&gt; are in contact,the zero of the head scale is above the index line as in Fig(c) , such ZERO ERROR is called negative ZERO ERROR, and the correction is positive.&lt;/p&gt; &lt;p&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;strong&gt;&lt;span style="text-decoration: underline;"&gt;Determine the radii  of the given  metal wires&lt;/span&gt;&lt;/strong&gt;&lt;/span&gt; :The given object metal  wire is held between the two parallel surfaces of fix stud &lt;img class="latex" title="S_1" src="http://l.wordpress.com/latex.php?latex=S_1&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="S_1" /&gt; and screw  tip &lt;img class="latex" title="S_2" src="http://l.wordpress.com/latex.php?latex=S_2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="S_2" /&gt;. Note the completed number of divisions on pitch scale, which is called PITCH SCALE READING (P.S.R). The number of the head scale division coinciding with the index line is noted, which is called OBSERVED HEAD SCALE READING  n’. If the given screw gauge has ZERO ERROR (x) the correction is made by adding or subtracting the ZERO ERROR (x) from the  OBSERVED HEAD SCALE READING  n’.The corrected value (n’-x) or (n’+x)  is called the HEAD SCALE READING (H.S.R) n.&lt;/p&gt; &lt;p&gt;To calculate the fraction the H.S.R (n) is multiplied by the least count  (L.C).&lt;/p&gt; &lt;p&gt;Diameter of first wire = Total reading = P.S.R +&lt;img class="latex" title="n\times L.C" src="http://l.wordpress.com/latex.php?latex=n%5Ctimes+L.C&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="n\times L.C" /&gt; -  -  -  -   -  - (1)&lt;/p&gt; &lt;p&gt;Changing the position of metal wire, 5 readings should be taken, and recorded in the table-1. Every time calculate the total diameter (d) of the metal wire using equation (1).&lt;/p&gt; &lt;p&gt;Average of the 5 diameter of the metal wire should be calculated, to get the  average diameter(d) of the first metal wire.&lt;/p&gt; &lt;p&gt;Radius (&lt;img src="http://l.wordpress.com/latex.php?latex=r_1&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="r_1" title="r_1" class="latex" /&gt;) of the first metal wire =&lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7Bd_1%7D%7B2%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{d_1}{2}" title="\frac{d_1}{2}" class="latex" /&gt; mm.&lt;/p&gt; &lt;p&gt;The diameters of 2nd  and 3rd wires are also  measured following the above procedure. From diameters of 2nd  and 3rd wires we can calculate their radii &lt;img src="http://l.wordpress.com/latex.php?latex=r_2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="r_2" title="r_2" class="latex" /&gt;  and &lt;img src="http://l.wordpress.com/latex.php?latex=r_3&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="r_3" title="r_3" class="latex" /&gt; .&lt;/p&gt; &lt;p&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;strong&gt;&lt;span style="text-decoration: underline;"&gt;Calculation of least count:&lt;/span&gt;&lt;/strong&gt;&lt;/span&gt;&lt;/p&gt; &lt;p&gt;Number of complete rotations of the screw = 5&lt;/p&gt; &lt;p&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;span style="color: rgb(51, 51, 51);"&gt;Distance moved by  sloped edge  over the pitch scale = 5mm&lt;/span&gt;&lt;/span&gt;&lt;/p&gt; &lt;p&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;span style="color: rgb(51, 51, 51);"&gt;Pitch of the screw = &lt;/span&gt;&lt;/span&gt;&lt;img class="latex" title=" \frac{Distance moved by sloped edge over the pitch scale}{Number of rotations of the screw}" src="http://l.wordpress.com/latex.php?latex=+%5Cfrac%7BDistance+moved+by+sloped+edge+over+the+pitch+scale%7D%7BNumber+of+rotations+of+the+screw%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt=" \frac{Distance moved by sloped edge over the pitch scale}{Number of rotations of the screw}" /&gt; = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B5mm%7D%7B5%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{5mm}{5}" title="\frac{5mm}{5}" class="latex" /&gt; =1mm.&lt;/p&gt; &lt;p&gt;Number of divisions on the head scale = 100&lt;/p&gt; &lt;p&gt;Least count (L.C) = &lt;img class="latex" title="\frac{Pitch of the screw}{Number of divisions on  Head scale}" src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7BPitch+of+the+screw%7D%7BNumber+of+divisions+on++Head+scale%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{Pitch of the screw}{Number of divisions on  Head scale}" /&gt; = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B1mm%7D%7B100%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{1mm}{100}" title="\frac{1mm}{100}" class="latex" /&gt; =0.01mm&lt;/p&gt; &lt;p&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;span style="text-decoration: underline;"&gt;&lt;strong&gt;Zero Error&lt;/strong&gt;&lt;/span&gt;&lt;/span&gt; :&lt;/p&gt; &lt;p&gt;When &lt;img class="latex" title="S_1" src="http://l.wordpress.com/latex.php?latex=S_1&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="S_1" /&gt; and &lt;img class="latex" title="S_2" src="http://l.wordpress.com/latex.php?latex=S_2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="S_2" /&gt; are in contact,97 th division of head scale is coinciding with index line i.e the zero of the head scale is 3 divisions below the index line as in Fig(b), such ZERO ERROR is called positive ZERO ERROR, and the correction is negative.&lt;/p&gt; &lt;p&gt;The Zero correction for the given screw gauge = - 3&lt;/p&gt; &lt;p&gt;&lt;span style="text-decoration: underline;"&gt;&lt;strong&gt;&lt;/strong&gt;&lt;/span&gt;&lt;/p&gt; &lt;p&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;strong&gt;&lt;span style="text-decoration: underline;"&gt;Table -1 ( Diameter of the 1st wire)&lt;/span&gt;&lt;/strong&gt;&lt;/span&gt; :&lt;/p&gt; &lt;table style="text-align: center;" border="1" cellpadding="2" cellspacing="0" width="540"&gt; &lt;tbody&gt; &lt;tr&gt; &lt;td align="middle" width="54"&gt; &lt;p align="center"&gt;S.No&lt;/p&gt; &lt;/td&gt; &lt;td align="middle" width="73"&gt; &lt;p align="center"&gt;Pitch Scale Reading (P.S.R) amm&lt;/p&gt; &lt;/td&gt; &lt;td valign="top" width="82"&gt; &lt;p align="center"&gt;Observed H.S.R    (n’)&lt;/p&gt; &lt;/td&gt; &lt;td valign="top" width="99"&gt; &lt;p align="center"&gt;Correction   (x)&lt;/p&gt; &lt;/td&gt; &lt;td valign="top" width="88"&gt; &lt;p align="center"&gt;Corrected H.S.R  n=n’(+/-)x&lt;/p&gt; &lt;/td&gt; &lt;td valign="top" width="56"&gt; &lt;p align="center"&gt;Fraction  b=n*L.C&lt;/p&gt; &lt;/td&gt; &lt;td valign="top" width="94"&gt; &lt;p align="center"&gt;Total reading  (a+b) mm&lt;/p&gt; &lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="54"&gt;1.&lt;/td&gt; &lt;td align="middle" width="73"&gt;1&lt;/td&gt; &lt;td valign="top" width="82"&gt;45&lt;/td&gt; &lt;td valign="top" width="99"&gt;3&lt;/td&gt; &lt;td valign="top" width="88"&gt;45-3=42&lt;/td&gt; &lt;td valign="top" width="56"&gt;42*.001=0.42&lt;/td&gt; &lt;td valign="top" width="94"&gt;1.42&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="54"&gt;2.&lt;/td&gt; &lt;td align="middle" width="73"&gt;1&lt;/td&gt; &lt;td valign="top" width="82"&gt;46&lt;/td&gt; &lt;td valign="top" width="99"&gt;3&lt;/td&gt; &lt;td valign="top" width="88"&gt;46-3=43&lt;/td&gt; &lt;td valign="top" width="56"&gt;43*0.01=0.43&lt;/td&gt; &lt;td valign="top" width="94"&gt;1.43&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="54"&gt;3.&lt;/td&gt; &lt;td align="middle" width="73"&gt;1&lt;/td&gt; &lt;td valign="top" width="82"&gt;46&lt;/td&gt; &lt;td valign="top" width="99"&gt;3&lt;/td&gt; &lt;td valign="top" width="88"&gt;46-3=43&lt;/td&gt; &lt;td valign="top" width="56"&gt;43*0.01=0.43&lt;/td&gt; &lt;td valign="top" width="94"&gt;1.43&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="54"&gt;4.&lt;/td&gt; &lt;td align="middle" width="73"&gt;1&lt;/td&gt; &lt;td valign="top" width="82"&gt;47&lt;/td&gt; &lt;td valign="top" width="99"&gt;3&lt;/td&gt; &lt;td valign="top" width="88"&gt;47-3=44&lt;/td&gt; &lt;td valign="top" width="56"&gt;44*.001=0.44&lt;/td&gt; &lt;td valign="top" width="94"&gt;1.44&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="54"&gt;5.&lt;/td&gt; &lt;td align="middle" width="73"&gt;1&lt;/td&gt; &lt;td valign="top" width="82"&gt;46&lt;/td&gt; &lt;td valign="top" width="99"&gt;3&lt;/td&gt; &lt;td valign="top" width="88"&gt;46-3=43&lt;/td&gt; &lt;td valign="top" width="56"&gt;43*0.01=0.43&lt;/td&gt; &lt;td valign="top" width="94"&gt;1.43&lt;/td&gt; &lt;/tr&gt; &lt;/tbody&gt; &lt;/table&gt; &lt;p&gt;Average diameter of the 1st wire (&lt;img src="http://l.wordpress.com/latex.php?latex=d_1&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="d_1" title="d_1" class="latex" /&gt;) = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B1.42%2B1.43%2B1.43%2B1.44%2B1.43%7D%7B5%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{1.42+1.43+1.43+1.44+1.43}{5}" title="\frac{1.42+1.43+1.43+1.44+1.43}{5}" class="latex" /&gt; =&lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B7.15%7D%7B5%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{7.15}{5}" title="\frac{7.15}{5}" class="latex" /&gt; mm.&lt;/p&gt; &lt;p&gt;Average diameter of the 1st wire (&lt;img src="http://l.wordpress.com/latex.php?latex=d_1&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="d_1" title="d_1" class="latex" /&gt;) =    1.43 mm&lt;/p&gt; &lt;p&gt;Average radius of 1st wire  (&lt;img src="http://l.wordpress.com/latex.php?latex=r_1&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="r_1" title="r_1" class="latex" /&gt;) =&lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7Bd_1%7D%7B2%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{d_1}{2}" title="\frac{d_1}{2}" class="latex" /&gt; = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B1.43%7D%7B2%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{1.43}{2}" title="\frac{1.43}{2}" class="latex" /&gt;=0.72 mm&lt;/p&gt; &lt;p&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;strong&gt;&lt;span style="text-decoration: underline;"&gt;Table - 2 (Diameter of the 2nd wire)&lt;/span&gt;&lt;/strong&gt;&lt;/span&gt;:&lt;/p&gt; &lt;table style="text-align: center;" border="1" cellpadding="2" cellspacing="0" width="540"&gt; &lt;tbody&gt; &lt;tr&gt; &lt;td align="middle" width="54"&gt; &lt;p align="center"&gt;S.No&lt;/p&gt; &lt;/td&gt; &lt;td align="middle" width="73"&gt; &lt;p align="center"&gt;Pitch Scale Reading (P.S.R) amm&lt;/p&gt; &lt;/td&gt; &lt;td valign="top" width="82"&gt; &lt;p align="center"&gt;Observed H.S.R    (n’)&lt;/p&gt; &lt;/td&gt; &lt;td valign="top" width="99"&gt; &lt;p align="center"&gt;Correction   (x)&lt;/p&gt; &lt;/td&gt; &lt;td valign="top" width="88"&gt; &lt;p align="center"&gt;Corrected H.S.R  n=n’(+/-)x&lt;/p&gt; &lt;/td&gt; &lt;td valign="top" width="56"&gt; &lt;p align="center"&gt;Fraction  b=n*L.C&lt;/p&gt; &lt;/td&gt; &lt;td valign="top" width="94"&gt; &lt;p align="center"&gt;Total reading  (a+b) mm&lt;/p&gt; &lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="54"&gt;1.&lt;/td&gt; &lt;td align="middle" width="73"&gt;2&lt;/td&gt; &lt;td valign="top" width="82"&gt;12&lt;/td&gt; &lt;td valign="top" width="99"&gt;3&lt;/td&gt; &lt;td valign="top" width="88"&gt;12-3=9&lt;/td&gt; &lt;td valign="top" width="56"&gt;9*0.01=0.09&lt;/td&gt; &lt;td valign="top" width="94"&gt;2.09&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="54"&gt;2.&lt;/td&gt; &lt;td align="middle" width="73"&gt;2&lt;/td&gt; &lt;td valign="top" width="82"&gt;13&lt;/td&gt; &lt;td valign="top" width="99"&gt;3&lt;/td&gt; &lt;td valign="top" width="88"&gt;13-3=10&lt;/td&gt; &lt;td valign="top" width="56"&gt;10*0.01=0.10&lt;/td&gt; &lt;td valign="top" width="94"&gt;2.10&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="54"&gt;3.&lt;/td&gt; &lt;td align="middle" width="73"&gt;2&lt;/td&gt; &lt;td valign="top" width="82"&gt;14&lt;/td&gt; &lt;td valign="top" width="99"&gt;3&lt;/td&gt; &lt;td valign="top" width="88"&gt;14-3=11&lt;/td&gt; &lt;td valign="top" width="56"&gt;11*0.01=0.11&lt;/td&gt; &lt;td valign="top" width="94"&gt;2.11&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="54"&gt;4.&lt;/td&gt; &lt;td align="middle" width="73"&gt;2&lt;/td&gt; &lt;td valign="top" width="82"&gt;12&lt;/td&gt; &lt;td valign="top" width="99"&gt;3&lt;/td&gt; &lt;td valign="top" width="88"&gt;12-3=9&lt;/td&gt; &lt;td valign="top" width="56"&gt;9*0.01=0.09&lt;/td&gt; &lt;td valign="top" width="94"&gt;2.09&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="54"&gt;5.&lt;/td&gt; &lt;td align="middle" width="73"&gt;2&lt;/td&gt; &lt;td valign="top" width="82"&gt;14&lt;/td&gt; &lt;td valign="top" width="99"&gt;3&lt;/td&gt; &lt;td valign="top" width="88"&gt;14-3=11&lt;/td&gt; &lt;td valign="top" width="56"&gt;11*0.01=0.11&lt;/td&gt; &lt;td valign="top" width="94"&gt;2.11&lt;/td&gt; &lt;/tr&gt; &lt;/tbody&gt; &lt;/table&gt; &lt;p&gt;Average diameter of the 1st wire (&lt;img src="http://l.wordpress.com/latex.php?latex=d_2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="d_2" title="d_2" class="latex" /&gt;) = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B2.09%2B2.10%2B2.11%2B2.09%2B2.11%7D%7B5%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{2.09+2.10+2.11+2.09+2.11}{5}" title="\frac{2.09+2.10+2.11+2.09+2.11}{5}" class="latex" /&gt; =&lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B10.5%7D%7B5%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{10.5}{5}" title="\frac{10.5}{5}" class="latex" /&gt; mm.&lt;/p&gt; &lt;p&gt;Average diameter of the 2nd wire (&lt;img src="http://l.wordpress.com/latex.php?latex=d_2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="d_2" title="d_2" class="latex" /&gt;) = 2.10  mm&lt;/p&gt; &lt;p&gt;Average radius of 2nd wire  (&lt;img src="http://l.wordpress.com/latex.php?latex=r_2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="r_2" title="r_2" class="latex" /&gt;) =&lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7Bd_2%7D%7B2%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{d_2}{2}" title="\frac{d_2}{2}" class="latex" /&gt; = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B2.10%7D%7B2%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{2.10}{2}" title="\frac{2.10}{2}" class="latex" /&gt;=1.05 mm&lt;/p&gt; &lt;p&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;strong&gt;&lt;span style="text-decoration: underline;"&gt;Table -3 ( Diameter of the 3rd wire)&lt;/span&gt;&lt;/strong&gt;&lt;/span&gt; :&lt;/p&gt; &lt;table style="text-align: center;" border="1" cellpadding="2" cellspacing="0" width="540"&gt; &lt;tbody&gt; &lt;tr&gt; &lt;td align="middle" width="54"&gt; &lt;p align="center"&gt;S.No&lt;/p&gt; &lt;/td&gt; &lt;td align="middle" width="73"&gt; &lt;p align="center"&gt;Pitch Scale Reading (P.S.R) amm&lt;/p&gt; &lt;/td&gt; &lt;td valign="top" width="82"&gt; &lt;p align="center"&gt;Observed H.S.R    (n’)&lt;/p&gt; &lt;/td&gt; &lt;td valign="top" width="99"&gt; &lt;p align="center"&gt;Correction   (x)&lt;/p&gt; &lt;/td&gt; &lt;td valign="top" width="88"&gt; &lt;p align="center"&gt;Corrected H.S.R  n=n’(+/-)x&lt;/p&gt; &lt;/td&gt; &lt;td valign="top" width="56"&gt; &lt;p align="center"&gt;Fraction  b=n*L.C&lt;/p&gt; &lt;/td&gt; &lt;td valign="top" width="94"&gt; &lt;p align="center"&gt;Total reading  (a+b) mm&lt;/p&gt; &lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="54"&gt;1.&lt;/td&gt; &lt;td align="middle" width="73"&gt;1&lt;/td&gt; &lt;td valign="top" width="82"&gt;85&lt;/td&gt; &lt;td valign="top" width="99"&gt;3&lt;/td&gt; &lt;td valign="top" width="88"&gt;85-3=82&lt;/td&gt; &lt;td valign="top" width="56"&gt;82*0.01=0.82&lt;/td&gt; &lt;td valign="top" width="94"&gt;1.82&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="54"&gt;2.&lt;/td&gt; &lt;td align="middle" width="73"&gt;1&lt;/td&gt; &lt;td valign="top" width="82"&gt;84&lt;/td&gt; &lt;td valign="top" width="99"&gt;3&lt;/td&gt; &lt;td valign="top" width="88"&gt;84-3=81&lt;/td&gt; &lt;td valign="top" width="56"&gt;81*0.01=0.81&lt;/td&gt; &lt;td valign="top" width="94"&gt;1.81&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="54"&gt;3.&lt;/td&gt; &lt;td align="middle" width="73"&gt;1&lt;/td&gt; &lt;td valign="top" width="82"&gt;84&lt;/td&gt; &lt;td valign="top" width="99"&gt;3&lt;/td&gt; &lt;td valign="top" width="88"&gt;84-3=81&lt;/td&gt; &lt;td valign="top" width="56"&gt;81*0.01=0.81&lt;/td&gt; &lt;td valign="top" width="94"&gt;1.81&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="54"&gt;4.&lt;/td&gt; &lt;td align="middle" width="73"&gt;1&lt;/td&gt; &lt;td valign="top" width="82"&gt;86&lt;/td&gt; &lt;td valign="top" width="99"&gt;3&lt;/td&gt; &lt;td valign="top" width="88"&gt;86-3=83&lt;/td&gt; &lt;td valign="top" width="56"&gt;83*0.01=0.83&lt;/td&gt; &lt;td valign="top" width="94"&gt;1.83&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="54"&gt;5.&lt;/td&gt; &lt;td align="middle" width="73"&gt;1&lt;/td&gt; &lt;td valign="top" width="82"&gt;86&lt;/td&gt; &lt;td valign="top" width="99"&gt;3&lt;/td&gt; &lt;td valign="top" width="88"&gt;86-3=83&lt;/td&gt; &lt;td valign="top" width="56"&gt;83*0.01=0.83&lt;/td&gt; &lt;td valign="top" width="94"&gt;1.83&lt;/td&gt; &lt;/tr&gt; &lt;/tbody&gt; &lt;/table&gt; &lt;p&gt;Average diameter of the 1st wire (&lt;img src="http://l.wordpress.com/latex.php?latex=d_3&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="d_3" title="d_3" class="latex" /&gt;) = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B1.82%2B1.81%2B1.81%2B1.83%2B1.83%7D%7B5%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{1.82+1.81+1.81+1.83+1.83}{5}" title="\frac{1.82+1.81+1.81+1.83+1.83}{5}" class="latex" /&gt; =&lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B9.10%7D%7B5%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{9.10}{5}" title="\frac{9.10}{5}" class="latex" /&gt; mm.&lt;/p&gt; &lt;p&gt;Average diameter of the 3rd wire (&lt;img src="http://l.wordpress.com/latex.php?latex=d_3&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="d_3" title="d_3" class="latex" /&gt;) = 1.82 mm&lt;/p&gt; &lt;p&gt;Average radius of 3rd wire  (&lt;img src="http://l.wordpress.com/latex.php?latex=r_3&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="r_3" title="r_3" class="latex" /&gt;) =&lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7Bd_3%7D%7B2%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{d_3}{2}" title="\frac{d_3}{2}" class="latex" /&gt; = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B1.82%7D%7B2%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{1.82}{2}" title="\frac{1.82}{2}" class="latex" /&gt;=0.91 mm&lt;/p&gt; &lt;p&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;span style="text-decoration: underline;"&gt;&lt;strong&gt;Observations&lt;/strong&gt;&lt;/span&gt;&lt;/span&gt; : i)Average radius of 1st wire  (&lt;img src="http://l.wordpress.com/latex.php?latex=r_1&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="r_1" title="r_1" class="latex" /&gt;) = 0.72 mm,&lt;/p&gt; &lt;p&gt;ii)Average radius of 2nd wire  (&lt;img src="http://l.wordpress.com/latex.php?latex=r_2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="r_2" title="r_2" class="latex" /&gt;) = 1.05 mm&lt;br /&gt;&lt;/p&gt; &lt;p&gt;iii )Average radius of 3rd wire  (&lt;img src="http://l.wordpress.com/latex.php?latex=r_3&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="r_3" title="r_3" class="latex" /&gt;) = 0.91 mm.&lt;/p&gt; &lt;p&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;strong&gt;&lt;span style="text-decoration: underline;"&gt;Precautions&lt;/span&gt;&lt;/strong&gt;&lt;/span&gt; : i ) Pitch scale reading (P.S.R) should be taken carefully without parallax error ii ) Head scale reading (H.S.R) should be taken carefully without parallax error iii )Screw must be rotated by holding the safety device ‘D’ iv ) Do not apply excess pressure on the object held between the surfaces &lt;img class="latex" title="S_1" src="http://l.wordpress.com/latex.php?latex=S_1&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="S_1" /&gt; and &lt;img class="latex" title="S_2" src="http://l.wordpress.com/latex.php?latex=S_2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="S_2" /&gt;.&lt;/p&gt; &lt;p&gt;v ) The screw is rotated in only one direction either clock wise or  anti-clock wise to avoid the back lash error.&lt;/p&gt; &lt;p&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;span style="text-decoration: underline;"&gt;&lt;strong&gt;Result&lt;/strong&gt;&lt;/span&gt;&lt;/span&gt; : Ratio of radii of the given wires is &lt;img src="http://l.wordpress.com/latex.php?latex=r_1&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="r_1" title="r_1" class="latex" /&gt;:&lt;img src="http://l.wordpress.com/latex.php?latex=r_2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="r_2" title="r_2" class="latex" /&gt;:&lt;img src="http://l.wordpress.com/latex.php?latex=r_3&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="r_3" title="r_3" class="latex" /&gt; = 0.72 : 1.05 : 0.91&lt;br /&gt;&lt;/p&gt; &lt;/div&gt; &lt;/div&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/7972338390481108463-2407025441578902594?l=gyanraj.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://gyanraj.blogspot.com/feeds/2407025441578902594/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://gyanraj.blogspot.com/2009_03_01_archive.html#2407025441578902594#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7972338390481108463/posts/default/2407025441578902594'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7972338390481108463/posts/default/2407025441578902594'/><link rel='alternate' type='text/html' href='http://gyanraj.blogspot.com/2009_03_01_archive.html#2407025441578902594' title='Compare the radii of given three wires using Screw Gauge.'/><author><name>chavan gyanraj</name><uri>http://www.blogger.com/profile/02460504823573498104</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='31' height='32' src='http://1.bp.blogspot.com/_vqDIAUuYyxg/SV9M8exWCkI/AAAAAAAAACs/pvOlQ950TkE/S220/cgr6.jpg'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7972338390481108463.post-2275737521731894318</id><published>2009-02-18T01:39:00.000-08:00</published><updated>2009-03-07T01:52:58.958-08:00</updated><category scheme='http://www.blogger.com/atom/ns#' term='Screw Gauge'/><category scheme='http://www.blogger.com/atom/ns#' term='Inter I Year Practicals'/><category scheme='http://www.blogger.com/atom/ns#' term='Measurements'/><category scheme='http://www.blogger.com/atom/ns#' term='experiments'/><title type='text'>Screw Gauge</title><content type='html'>&lt;div class="storycontent"&gt;   &lt;div class="snap_preview"&gt;&lt;p&gt;Experiment No :2&lt;/p&gt; &lt;p&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;strong&gt;&lt;span style="text-decoration: underline;"&gt;Aim&lt;/span&gt;&lt;/strong&gt;&lt;/span&gt;: To measure the i)Thickness of the Glass Plate ii) Diameter of the metal  wire iii) Volume of the given Glass Plate.&lt;/p&gt; &lt;p&gt;Apparatus : Screw Gauge , Glass Plate and Metal wire .&lt;/p&gt; &lt;p&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;strong&gt;&lt;span style="text-decoration: underline;"&gt;Description&lt;/span&gt;&lt;/strong&gt;&lt;/span&gt; : Screw Gauge consists of  U shaped metallic frame.To one side of this U frame a long hallow cylindrical tube with a nut inside it, the inner side of cylindrical nut contains a uniform thread cut in it.On the other side of U frame a fixed stud &lt;img src="http://l.wordpress.com/latex.php?latex=S_1&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" class="latex" /&gt; with a plane face is attached.&lt;/p&gt;&lt;p style="text-align: center;"&gt;&lt;a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://4.bp.blogspot.com/_vqDIAUuYyxg/SZvt60jbhGI/AAAAAAAAAFc/CEG3eIY56gQ/s1600-h/PHOTO+8+001.jpg"&gt;&lt;img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 259px; height: 119px;" src="http://4.bp.blogspot.com/_vqDIAUuYyxg/SZvt60jbhGI/AAAAAAAAAFc/CEG3eIY56gQ/s200/PHOTO+8+001.jpg" alt="" id="BLOGGER_PHOTO_ID_5304094580954334306" border="0" /&gt;&lt;/a&gt;&lt;/p&gt; &lt;p&gt;A screw &lt;img src="http://l.wordpress.com/latex.php?latex=S_2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" class="latex" /&gt; is fitted in the cylindrical nut.One side of the screw  &lt;img src="http://l.wordpress.com/latex.php?latex=S_2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" class="latex" /&gt; has a plane face similar to that of stud &lt;img src="http://l.wordpress.com/latex.php?latex=S_1&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" class="latex" /&gt;. The faces of  &lt;img src="http://l.wordpress.com/latex.php?latex=S_1&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" class="latex" /&gt; and &lt;img src="http://l.wordpress.com/latex.php?latex=S_2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" class="latex" /&gt; are plane and parallel to one another. The other end  of the screw &lt;img src="http://l.wordpress.com/latex.php?latex=S_2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" class="latex" /&gt; carries a milled head ‘H’ attached to a cap ‘C’ with a sloping edge. When the head H is rotated, the screw moves ”to and fro” in the nut.The milled head H is provided with a safety device ‘D’ to rotate the head H.When the object is held between the stud &lt;img src="http://l.wordpress.com/latex.php?latex=S_1&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" class="latex" /&gt; and  screw &lt;img src="http://l.wordpress.com/latex.php?latex=S_2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" class="latex" /&gt;  and the head H is rotated using the safety device (D), it produces crackling sound when optimum pressure is applied on the object.&lt;/p&gt; &lt;p&gt;The outer surface of long cylindrical nut consists of a thick horizontal line ‘P’ parallel to the axis of cylindrical tube.This line ‘P’ is called Index line. Along the index line a scale is graduated in millimeters.This scale is called Pitch Scale.On the sloping edge of the cap ‘C’ a circular scale is graduated, which consists of 100 equal divisions, this scale is called Head scale.&lt;/p&gt; &lt;p&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;strong&gt;&lt;span style="text-decoration: underline;"&gt;Theory&lt;/span&gt;&lt;/strong&gt;&lt;/span&gt; : The screw gauge works on the principle of screw.&lt;/p&gt; &lt;p&gt;When we rotate the head ‘H’ by means of safety device ‘D’ through one complete rotation, the distance moved by the screw for every complete rotation is constant. This constant distance moved by the screw for one complete rotation of head ‘ H ‘ is called Pitch of the screw.If the head scale has 100 equal divisions, then the distance moved by the screw for even 1/100 of a complete rotation can be measured accurately,this is called Least count of screw gauge.&lt;/p&gt; &lt;p&gt;Therefore Least count (L.C) = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7BPitch+of+the+screw%7D%7BNumber+of++divisions+on+Head+scale%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" class="latex" /&gt; .&lt;/p&gt; &lt;p&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;strong&gt;&lt;span style="text-decoration: underline;"&gt;Procedure&lt;/span&gt;&lt;/strong&gt;&lt;/span&gt; :First we have to determine the least count of the given Screw  gauge.&lt;/p&gt; &lt;p&gt;To determine the least count of the screw gauge, the head ‘H’ is rotated through certain (say 5) number of complete rotations.The distance moved by the sloped  edge over the pitch scale is measured.&lt;/p&gt; &lt;p&gt;Now substitute these values in the formula of pitch of the screw = &lt;img src="http://l.wordpress.com/latex.php?latex=+%5Cfrac%7BDistance+moved+by+sloped+edge+over+the+pitch+scale%7D%7BNumber+of+rotations+of+the+screw%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt=" \frac{Distance moved by sloped edge over the pitch scale}{Number of rotations of the screw}" title=" \frac{Distance moved by sloped edge over the pitch scale}{Number of rotations of the screw}" class="latex" /&gt;.&lt;/p&gt; &lt;p&gt;Least count L.C =  &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7BPitch+of+the+screw%7D%7BNumber+of+divisions+on++Head+scale%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" class="latex" /&gt; .&lt;/p&gt; &lt;p&gt;Now check whether the given screw gauge has any ZERO ERROR or not. To determine the ZERO ERROR, the head H is rotated until the flat end of the screw  &lt;img style="width: 12px; height: 10px;" src="http://l.wordpress.com/latex.php?latex=S_2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" class="latex" /&gt; touches the plane surface of the stud &lt;img src="http://l.wordpress.com/latex.php?latex=S_1&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" class="latex" /&gt; (do not apply  excess pressure) i.e we have to rotate the head only by means of safety device  ‘D’ only.&lt;/p&gt; &lt;p style="text-align: center;"&gt;&lt;img class="aligncenter size-medium wp-image-1073" title="zero-error" src="http://gyaunnrraje.files.wordpress.com/2009/02/zero-error.jpg?w=334&amp;amp;h=153" alt="zero-error" width="334" height="153" /&gt;&lt;/p&gt; &lt;p&gt;When &lt;img src="http://l.wordpress.com/latex.php?latex=S_1&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" class="latex" /&gt; and &lt;img src="http://l.wordpress.com/latex.php?latex=S_2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" class="latex" /&gt; are in contact,the zero of the head scale perfectly coincides with the index line as in Fig-(a). In such case there will be no ZERO ERROR and no correction is required.&lt;/p&gt; &lt;p&gt;When &lt;img src="http://l.wordpress.com/latex.php?latex=S_1&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" class="latex" /&gt; and &lt;img src="http://l.wordpress.com/latex.php?latex=S_2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" class="latex" /&gt; are in contact,the zero of the head scale is below the index line as in Fig(b), such ZERO ERROR is called positive ZERO ERROR, and the correction is negative.&lt;/p&gt; &lt;p&gt;When &lt;img src="http://l.wordpress.com/latex.php?latex=S_1&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" class="latex" /&gt; and &lt;img src="http://l.wordpress.com/latex.php?latex=S_2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" class="latex" /&gt; are in contact,the zero of the head scale is above the index line as in Fig(c) , such ZERO ERROR is called negative ZERO ERROR, and the correction is positive.&lt;/p&gt; &lt;p&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;strong&gt;&lt;span style="text-decoration: underline;"&gt;a) Determine the thickness of glass plate&lt;/span&gt;&lt;/strong&gt;&lt;/span&gt; : The given object glass plate is  held between the two parallel surfaces of fix stud &lt;img src="http://l.wordpress.com/latex.php?latex=S_1&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" class="latex" /&gt; and screw tip  &lt;img src="http://l.wordpress.com/latex.php?latex=S_2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" class="latex" /&gt;. Note the completed number of divisions on pitch scale, which is called PITCH SCALE READING (P.S.R). The number of the head scale division coinciding with the index line is noted, which is called OBSERVED HEAD SCALE READING  n’. If the given screw gauge has ZERO ERROR (x) the correction is made by adding or subtracting the ZERO ERROR (x) from the  OBSERVED HEAD SCALE READING  n’.The corrected value (n’-x) or (n’+x)  is called the HEAD SCALE READING (H.S.R) n.&lt;/p&gt; &lt;p&gt;To calculate the fraction the H.S.R (n) is multiplied by the least count  (L.C).&lt;/p&gt; &lt;p&gt;Thickness of the Glass plate = Total reading = P.S.R +&lt;img src="http://l.wordpress.com/latex.php?latex=n%5Ctimes+L.C&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" class="latex" /&gt; - -  -  - - (1)&lt;/p&gt; &lt;p&gt;Changing the position of glass plate , 5 readings should be taken, and recorded in the table-1. Every time calculate the total thickness of the glass plate using equation (1).&lt;/p&gt; &lt;p&gt;Average of the 5 readings  of the glass plate should be calculated, to get  the average thickness(t) of the given glass plate.&lt;/p&gt; &lt;p&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;strong&gt;&lt;span style="text-decoration: underline;"&gt;b) Determine the radius(r) of the given metal wire&lt;/span&gt;&lt;/strong&gt;&lt;/span&gt; :The given object metal  wire is held between the two parallel surfaces of fix stud &lt;img src="http://l.wordpress.com/latex.php?latex=S_1&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" class="latex" /&gt; and screw  tip &lt;img src="http://l.wordpress.com/latex.php?latex=S_2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" class="latex" /&gt;. Note the completed number of divisions on pitch scale, which is called PITCH SCALE READING (P.S.R). The number of the head scale division coinciding with the index line is noted, which is called OBSERVED HEAD SCALE READING  n’. If the given screw gauge has ZERO ERROR (x) the correction is made by adding or subtracting the ZERO ERROR (x) from the  OBSERVED HEAD SCALE READING  n’.The corrected value (n’-x) or (n’+x)  is called the HEAD SCALE READING (H.S.R) n.&lt;/p&gt; &lt;p&gt;To calculate the fraction the H.S.R (n) is multiplied by the least count  (L.C).&lt;/p&gt; &lt;p&gt;Diameter of the given metal wire = Total reading = P.S.R +&lt;img src="http://l.wordpress.com/latex.php?latex=n%5Ctimes+L.C&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" class="latex" /&gt;&lt;/p&gt; &lt;p&gt;Changing the position of metal wire, 5 readings should be taken, and recorded in the table-2. Every time calculate the total diameter (d) of the metal wire using equation (1).&lt;/p&gt; &lt;p&gt;Average of the 5 diameter of the metal wire should be calculated, to get the  average diameter(d) of the given metal wire.&lt;/p&gt; &lt;p&gt;Radius (r) of the metal wire =&lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7Bd%7D%7B2%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" class="latex" /&gt; mm.&lt;/p&gt; &lt;p&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;strong&gt;&lt;span style="text-decoration: underline;"&gt;Precautions&lt;/span&gt;&lt;/strong&gt;&lt;/span&gt; : i ) Pitch scale reading (P.S.R) should be taken carefully without parallax error ii ) Head scale reading (H.S.R) should be taken carefully without parallax error iii )Screw must be rotated by holding the safety device ‘D’ iv ) Do not apply excess pressure on the object held between the surfaces &lt;img src="http://l.wordpress.com/latex.php?latex=S_1&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" class="latex" /&gt; and &lt;img src="http://l.wordpress.com/latex.php?latex=S_2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" class="latex" /&gt;.&lt;/p&gt; &lt;p&gt;v ) The screw is rotated in only one direction either clock wise or  anti-clock wise to avoid the back lash error.&lt;/p&gt; &lt;p&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;strong&gt;&lt;span style="text-decoration: underline;"&gt;Observations&lt;/span&gt;&lt;/strong&gt;&lt;/span&gt; : i ) Zero error =&lt;/p&gt; &lt;blockquote&gt;&lt;p&gt;ii) Zero correction = ......                    mm&lt;/p&gt; &lt;p&gt;iii ) Distance moved by the head for 5 complete revolutions  =                         mm&lt;/p&gt; &lt;p&gt;iv ) Number of head scale divisions =&lt;/p&gt; &lt;p&gt;v) Pitch of the screw =&lt;img src="http://l.wordpress.com/latex.php?latex=+%5Cfrac%7BDistance+moved+by+sloped+edge+over+the+pitch+scale%7D%7BNumber+of+rotations+of+the+screw%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt=" \frac{Distance moved by sloped edge over the pitch scale}{Number of rotations of the screw}" title=" \frac{Distance moved by sloped edge over the pitch scale}{Number of rotations of the screw}" class="latex" /&gt;&lt;/p&gt; &lt;p&gt;vi) Least count (L.C) =&lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7BPitch+of+the+screw%7D%7BNumber+of+divisions++on+Head+scale%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" class="latex" /&gt; .&lt;/p&gt; &lt;p&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;strong&gt;&lt;span style="text-decoration: underline;"&gt;Table -1 ( Thickness of glass plate )&lt;/span&gt;&lt;/strong&gt;&lt;/span&gt; :&lt;/p&gt; &lt;table border="1" cellpadding="2" cellspacing="0" width="540"&gt; &lt;tbody&gt; &lt;tr&gt; &lt;td align="middle" width="54"&gt; &lt;p align="center"&gt;S.No&lt;/p&gt; &lt;/td&gt; &lt;td align="middle" width="73"&gt; &lt;p align="center"&gt;Pitch Scale Reading (P.S.R) amm&lt;/p&gt; &lt;/td&gt; &lt;td valign="top" width="82"&gt; &lt;p align="center"&gt;Observed H.S.R    (n’)&lt;/p&gt; &lt;/td&gt; &lt;td valign="top" width="99"&gt; &lt;p align="center"&gt;Correction   (x)&lt;/p&gt; &lt;/td&gt; &lt;td valign="top" width="88"&gt; &lt;p align="center"&gt;Corrected H.S.R  n=n’-x&lt;/p&gt; &lt;/td&gt; &lt;td valign="top" width="56"&gt; &lt;p align="center"&gt;Fraction  b=n*L.C&lt;/p&gt; &lt;/td&gt; &lt;td valign="top" width="94"&gt; &lt;p align="center"&gt;Total reading  (a+b) mm&lt;/p&gt; &lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="54"&gt;1.&lt;/td&gt; &lt;td align="middle" width="73"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="82"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="99"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="88"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="56"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="94"&gt;&lt;br /&gt;&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="54"&gt;2.&lt;/td&gt; &lt;td align="middle" width="73"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="82"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="99"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="88"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="56"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="94"&gt;&lt;br /&gt;&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="54"&gt;3.&lt;/td&gt; &lt;td align="middle" width="73"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="82"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="99"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="88"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="56"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="94"&gt;&lt;br /&gt;&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="54"&gt;4.&lt;/td&gt; &lt;td align="middle" width="73"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="82"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="99"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="88"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="56"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="94"&gt;&lt;br /&gt;&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="54"&gt;5.&lt;/td&gt; &lt;td align="middle" width="73"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="82"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="99"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="88"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="56"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="94"&gt;&lt;br /&gt;&lt;/td&gt; &lt;/tr&gt; &lt;/tbody&gt; &lt;/table&gt; &lt;/blockquote&gt; &lt;p&gt;Average thickness of the glass plate (t) =        .....  mm&lt;/p&gt; &lt;p&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;strong&gt;&lt;span style="text-decoration: underline;"&gt;Table - 2 (Diameter of the metal wire)&lt;/span&gt;&lt;/strong&gt;&lt;/span&gt;:&lt;/p&gt; &lt;blockquote&gt; &lt;table border="1" cellpadding="2" cellspacing="0" width="540"&gt; &lt;tbody&gt; &lt;tr&gt; &lt;td align="middle" width="54"&gt; &lt;p align="center"&gt;S.No&lt;/p&gt; &lt;/td&gt; &lt;td align="middle" width="73"&gt; &lt;p align="center"&gt;Pitch Scale Reading (P.S.R) amm&lt;/p&gt; &lt;/td&gt; &lt;td valign="top" width="82"&gt; &lt;p align="center"&gt;Observed H.S.R    (n’)&lt;/p&gt; &lt;/td&gt; &lt;td valign="top" width="99"&gt; &lt;p align="center"&gt;Correction   (x)&lt;/p&gt; &lt;/td&gt; &lt;td valign="top" width="88"&gt; &lt;p align="center"&gt;Corrected  H.S.R n=n’-x&lt;/p&gt; &lt;/td&gt; &lt;td valign="top" width="56"&gt; &lt;p align="center"&gt;Fraction  b=n*L.C&lt;/p&gt; &lt;/td&gt; &lt;td valign="top" width="94"&gt; &lt;p align="center"&gt;Total reading  (a+b) mm&lt;/p&gt; &lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="54"&gt;1.&lt;/td&gt; &lt;td align="middle" width="73"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="82"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="99"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="88"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="56"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="94"&gt;&lt;br /&gt;&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="54"&gt;2.&lt;/td&gt; &lt;td align="middle" width="73"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="82"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="99"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="88"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="56"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="94"&gt;&lt;br /&gt;&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="54"&gt;3.&lt;/td&gt; &lt;td align="middle" width="73"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="82"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="99"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="88"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="56"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="94"&gt;&lt;br /&gt;&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="54"&gt;4.&lt;/td&gt; &lt;td align="middle" width="73"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="82"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="99"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="88"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="56"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="94"&gt;&lt;br /&gt;&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="54"&gt;5.&lt;/td&gt; &lt;td align="middle" width="73"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="82"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="99"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="88"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="56"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="94"&gt;&lt;br /&gt;&lt;/td&gt; &lt;/tr&gt; &lt;/tbody&gt; &lt;/table&gt; &lt;/blockquote&gt; &lt;p&gt;Average diameter  d = ....         mm&lt;/p&gt; &lt;p&gt;Average radius r = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7Bd%7D%7B2%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" class="latex" /&gt; =         ....   mm .&lt;/p&gt; &lt;p style="text-align: center;"&gt;&lt;span style="font-weight: bold; color: rgb(102, 51, 255);"&gt;c ) Volume of Glass plate (v)&lt;/span&gt; : The length ( &lt;em&gt;l &lt;/em&gt;) , breadth ( b) are determined using vernier calipers and thickness ( t ) of the glass plate is determined using screw gauge. The values of &lt;em&gt;l ,&lt;/em&gt;b and t are substituted  in the equation of volume  V = ( &lt;em&gt;l &lt;/em&gt;)( b )( t )    &lt;img src="http://l.wordpress.com/latex.php?latex=mm%5E3&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" class="latex" /&gt;&lt;/p&gt; &lt;/div&gt; &lt;/div&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/7972338390481108463-2275737521731894318?l=gyanraj.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://gyanraj.blogspot.com/feeds/2275737521731894318/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://gyanraj.blogspot.com/2009_02_01_archive.html#2275737521731894318#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7972338390481108463/posts/default/2275737521731894318'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7972338390481108463/posts/default/2275737521731894318'/><link rel='alternate' type='text/html' href='http://gyanraj.blogspot.com/2009_02_01_archive.html#2275737521731894318' title='Screw Gauge'/><author><name>chavan gyanraj</name><uri>http://www.blogger.com/profile/02460504823573498104</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='31' height='32' src='http://1.bp.blogspot.com/_vqDIAUuYyxg/SV9M8exWCkI/AAAAAAAAACs/pvOlQ950TkE/S220/cgr6.jpg'/></author><media:thumbnail xmlns:media='http://search.yahoo.com/mrss/' url='http://4.bp.blogspot.com/_vqDIAUuYyxg/SZvt60jbhGI/AAAAAAAAAFc/CEG3eIY56gQ/s72-c/PHOTO+8+001.jpg' height='72' width='72'/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7972338390481108463.post-3644715783567159463</id><published>2009-02-13T01:03:00.000-08:00</published><updated>2009-02-16T06:57:52.580-08:00</updated><category scheme='http://www.blogger.com/atom/ns#' term='Vernier Calipers'/><title type='text'>Find the volume of the Sphere - Vernier Calipers.</title><content type='html'>&lt;p&gt;2 Q : Find the volume of the given sphere using vernier calipers.&lt;/p&gt; &lt;p&gt;Ans:&lt;/p&gt; &lt;p&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;strong&gt;&lt;span style="text-decoration: underline;"&gt;Formula&lt;/span&gt;&lt;/strong&gt;&lt;/span&gt; :&lt;/p&gt; &lt;p&gt;1. Volume of the Sphere V =  &lt;img class="latex" title="\frac{4}{3} \pi r^3 cm^3" src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B4%7D%7B3%7D+%5Cpi+r%5E3+cm%5E3&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{4}{3} \pi r^3 cm^3" /&gt;,&lt;/p&gt; &lt;p&gt;V= volume of Sphere, r = radius of  Sphere &lt;em&gt;&lt;br /&gt;&lt;/em&gt;.&lt;/p&gt; &lt;p&gt;2.Least count of vernier calipers L.C = &lt;img class="latex" title="\frac{S}{N}" src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7BS%7D%7BN%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{S}{N}" /&gt; cm,&lt;/p&gt; &lt;p&gt;S = value of 1 Main scale division , N = Number of vernier divisions.&lt;/p&gt; &lt;p&gt;3.Length (or) diameter  of Cylinder = Main scale reading (a) cm + ( n*L.C ) cm.&lt;/p&gt; &lt;p&gt;n = vernier coincidence .&lt;/p&gt;&lt;p&gt;&lt;a href="http://2.bp.blogspot.com/_vqDIAUuYyxg/SYNAMDx44QI/AAAAAAAAAFU/T1M14H7h6TQ/s1600-h/Vernier+Calipers.png"&gt;&lt;span style="font-weight: bold; color: rgb(51, 102, 255);"&gt;Draw Figure&lt;/span&gt;&lt;/a&gt;&lt;br /&gt;&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;span style="text-decoration: underline;"&gt;&lt;strong&gt;Procedure&lt;/strong&gt;&lt;/span&gt;&lt;/span&gt; : First we have to determine the least count count of the given vernier calipers.&lt;/p&gt; &lt;p style="text-align: left;"&gt;To determine the volume of the  Sphere we have to determine the radius  (r) of the cylinder and substituting this value in the equation for the volume of the Sphere we can calculate it.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;&lt;strong&gt;a) &lt;/strong&gt;&lt;strong&gt;To determine the diameter of the Sphere&lt;/strong&gt;&lt;/span&gt; : Given Sphere is held gently between jaws 1,1 of the vernier calipers.The reading on the main scale just before the zero of the vernier is noted.This is called Main scale reading (M.S.R).The number of division (n) on the vernier which coincides perfectly with any one of the main scale divisions is noted.This is called vernier coincidence (V.C).The vernier coincidence (V.C=n) is multiplied by least count to get the fraction of a main scale division.This is added to the main scale reading (M.S.R) to total reading or total diameter of the sphere.&lt;/p&gt; &lt;p style="text-align: left;"&gt;Total reading = M.S.R + (&lt;img class="latex" title="V.C\times L.C" src="http://l.wordpress.com/latex.php?latex=V.C%5Ctimes+L.C&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="V.C\times L.C" /&gt;)&lt;/p&gt; &lt;p style="text-align: left;"&gt;Take the readings,keeping the Sphere between jaws 1,1 at different positions.Post the values of M.S.R and vernier coincidence (n) in the table.Take at least 5 readings, get the average of these 5 readings which is mean diameter (d)of the Sphere.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;&lt;strong&gt;&lt;/strong&gt;&lt;/span&gt;Place the Sphere diametrically between the jaws 1,1 of the vernier calipers, post the values of M.S.R and vernier coincidence (n) in the table. Take at least 5 readings, calculate the average of these readings which gives the mean diameter ( d=2r ) of the Sphere.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;&lt;strong&gt;c) To determine the volume of the Sphere &lt;/strong&gt;&lt;/span&gt;:Substituting the value&lt;em&gt;&lt;/em&gt; mean radius ( r) of the sphere which is already determined, in the formula V = &lt;img class="latex" title="\frac{4}{3} \pi r^3 cm^3" src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B4%7D%7B3%7D+%5Cpi+r%5E3+cm%5E3&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{4}{3} \pi r^3 cm^3" /&gt;,&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;span style="text-decoration: underline;"&gt;&lt;strong&gt;Determine Least count of vernier calipers&lt;/strong&gt;&lt;/span&gt;&lt;/span&gt; : From the given vernier calipers&lt;/p&gt; &lt;p style="text-align: left;"&gt;S= Length of Main scale division = 1 mm = 0.1 cm,&lt;/p&gt; &lt;p style="text-align: left;"&gt;N = Number of vernier scale divisions = 10 ,&lt;/p&gt; &lt;p style="text-align: left;"&gt;Substitute these values in the formula of Least count L.C = &lt;img class="latex" title="\frac{S}{N}" src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7BS%7D%7BN%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{S}{N}" /&gt; = &lt;img class="latex" title="\frac{0.1}{10}" src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B0.1%7D%7B10%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{0.1}{10}" /&gt; =0.01 cm.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;strong&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;Table for  Diameter of the Sphere&lt;/span&gt;&lt;/strong&gt; :&lt;/p&gt; &lt;p&gt;&lt;strong&gt;&lt;/strong&gt;&lt;/p&gt; &lt;table style="height: 136px; text-align: center;" border="1" cellpadding="2" cellspacing="0" width="455"&gt; &lt;tbody&gt; &lt;tr&gt; &lt;td align="middle" width="41"&gt;S.No&lt;/td&gt; &lt;td align="middle" width="105"&gt;M.S.R                acm&lt;/td&gt; &lt;td align="middle" width="129"&gt;Vernier Coincidence   (n)&lt;/td&gt; &lt;td align="middle" width="74"&gt;Fraction   b=n*L.C&lt;/td&gt; &lt;td align="middle" width="104"&gt;Total Reading (a+b) cm&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="43"&gt;1.&lt;/td&gt; &lt;td valign="top" width="106"&gt;1.9&lt;/td&gt; &lt;td valign="top" width="128"&gt;7&lt;/td&gt; &lt;td valign="top" width="74"&gt;0.05&lt;/td&gt; &lt;td valign="top" width="103"&gt;1.97&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="44"&gt;2.&lt;/td&gt; &lt;td valign="top" width="107"&gt;1.9&lt;/td&gt; &lt;td valign="top" width="128"&gt;6&lt;/td&gt; &lt;td valign="top" width="74"&gt;0.04&lt;/td&gt; &lt;td valign="top" width="103"&gt;1.96&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="43"&gt;3.&lt;/td&gt; &lt;td valign="top" width="108"&gt;1.9&lt;/td&gt; &lt;td valign="top" width="127"&gt;6&lt;/td&gt; &lt;td valign="top" width="74"&gt;0.06&lt;/td&gt; &lt;td valign="top" width="102"&gt;1.96&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="44"&gt;4.&lt;/td&gt; &lt;td valign="top" width="109"&gt;1.9&lt;/td&gt; &lt;td valign="top" width="127"&gt;7&lt;/td&gt; &lt;td valign="top" width="73"&gt;0.05&lt;/td&gt; &lt;td valign="top" width="102"&gt;1.97&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="44"&gt;5.&lt;/td&gt; &lt;td valign="top" width="110"&gt;1.9&lt;/td&gt; &lt;td valign="top" width="127"&gt;7&lt;/td&gt; &lt;td valign="top" width="74"&gt;0.06&lt;/td&gt; &lt;td valign="top" width="103"&gt;1.97&lt;/td&gt; &lt;/tr&gt; &lt;/tbody&gt; &lt;/table&gt; &lt;p style="text-align: left;"&gt;Average diameter of the sphere  d = 2r =  &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B%281.97%2B1.96%2B1.96%2B1.97%2B1.97%29%7D%7B5%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{(1.97+1.96+1.96+1.97+1.97)}{5}" title="\frac{(1.97+1.96+1.96+1.97+1.97)}{5}" class="latex" /&gt; cm = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B9.83%7D%7B5%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{9.83}{5}" title="\frac{9.83}{5}" class="latex" /&gt;&lt;/p&gt; &lt;p style="text-align: left;"&gt;Average radius of the sphere r =&lt;img class="latex" title="\frac{d}{2}" src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7Bd%7D%7B2%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{d}{2}" /&gt; = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B1.966%7D%7B2%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{1.966}{2}" title="\frac{1.966}{2}" class="latex" /&gt;cm = 0.98 cm.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;span style="text-decoration: underline;"&gt;&lt;strong&gt;Observations &lt;/strong&gt;&lt;/span&gt;&lt;/span&gt;:&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;em&gt;&lt;/em&gt;&lt;/p&gt; &lt;p style="text-align: left;"&gt;Average radius of the cylinder r = 0.98 cm.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;span style="text-decoration: underline;"&gt;&lt;strong&gt;Calculations&lt;/strong&gt;&lt;/span&gt;&lt;/span&gt; : Volume of the sphere V = &lt;img class="latex" title="\frac{4}{3} \pi r^3 cm^3" src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B4%7D%7B3%7D+%5Cpi+r%5E3+cm%5E3&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{4}{3} \pi r^3 cm^3" /&gt; = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B4%7D%7B3%7D%5Ctimes%5Cfrac%7B22%7D%7B7%7D%5Ctimes%280.98%29%5E3&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{4}{3}\times\frac{22}{7}\times(0.98)^3" title="\frac{4}{3}\times\frac{22}{7}\times(0.98)^3" class="latex" /&gt; &lt;img class="latex" title="cm^3" src="http://l.wordpress.com/latex.php?latex=cm%5E3&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="cm^3" /&gt;&lt;/p&gt; &lt;p style="text-align: left;"&gt;=3.94 &lt;img class="latex" title="cm^3" src="http://l.wordpress.com/latex.php?latex=cm%5E3&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="cm^3" /&gt;&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;strong&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;span style="text-decoration: underline;"&gt;Precautions &lt;/span&gt;&lt;/span&gt;&lt;/strong&gt;: 1) Take the M.S.R  and vernier coincide every time without parallax error.&lt;/p&gt; &lt;p style="text-align: left;"&gt;2)Record all the reading in same system preferably in C.G.S system.&lt;/p&gt; &lt;p style="text-align: left;"&gt;3) Do not apply excess pressure on the body held between the jaws.&lt;/p&gt; &lt;p style="text-align: left;"&gt;4) Check for the ZERO error.When the two jaws of the vernier are in contact,if the zero division of the main scale coincides with the zero of the vernier scale no ZERO error will be there.If not ZERO error will be there, apply correction.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;strong&gt;&lt;span style="text-decoration: underline;"&gt;Result and Units&lt;/span&gt;&lt;/strong&gt;&lt;/span&gt; : Volume of the sphere V = 3.94   &lt;img class="latex" title="cm^3" src="http://l.wordpress.com/latex.php?latex=cm%5E3&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="cm^3" /&gt;.&lt;/p&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/7972338390481108463-3644715783567159463?l=gyanraj.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://gyanraj.blogspot.com/feeds/3644715783567159463/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://gyanraj.blogspot.com/2009_02_01_archive.html#3644715783567159463#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7972338390481108463/posts/default/3644715783567159463'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7972338390481108463/posts/default/3644715783567159463'/><link rel='alternate' type='text/html' href='http://gyanraj.blogspot.com/2009_02_01_archive.html#3644715783567159463' title='Find the volume of the Sphere - Vernier Calipers.'/><author><name>chavan gyanraj</name><uri>http://www.blogger.com/profile/02460504823573498104</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='31' height='32' src='http://1.bp.blogspot.com/_vqDIAUuYyxg/SV9M8exWCkI/AAAAAAAAACs/pvOlQ950TkE/S220/cgr6.jpg'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7972338390481108463.post-455080359000887704</id><published>2009-02-12T11:17:00.000-08:00</published><updated>2009-02-13T03:28:06.616-08:00</updated><category scheme='http://www.blogger.com/atom/ns#' term='Vernier Calipers'/><title type='text'>Find the volume of cylinder - Vernier calipers.</title><content type='html'>Q : Find the volume of the  given cylinder  using vernier calipers. &lt;p&gt;Ans :&lt;a href="http://2.bp.blogspot.com/_vqDIAUuYyxg/SYNAMDx44QI/AAAAAAAAAFU/T1M14H7h6TQ/s1600-h/Vernier+Calipers.png"&gt;                                                                                                                   &lt;/a&gt;&lt;a href="http://2.bp.blogspot.com/_vqDIAUuYyxg/SYNAMDx44QI/AAAAAAAAAFU/T1M14H7h6TQ/s1600-h/Vernier+Calipers.png"&gt;Draw Fig &lt;/a&gt;&lt;/p&gt; &lt;p&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;strong&gt;&lt;span style="text-decoration: underline;"&gt;Formula&lt;/span&gt;&lt;/strong&gt;&lt;/span&gt; :&lt;br /&gt;&lt;/p&gt; &lt;p&gt;1. Volume of the cylinder V = &lt;img class="latex" title="\pi r^2 l" src="http://l.wordpress.com/latex.php?latex=%5Cpi+r%5E2+l&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\pi r^2 l" /&gt; &lt;img class="latex" title="cm^3" src="http://l.wordpress.com/latex.php?latex=cm%5E3&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="cm^3" /&gt;,&lt;/p&gt; &lt;p&gt;V= volume of cylinder, r = radius of cylinder &lt;em&gt; l&lt;/em&gt; = length of cylinder.&lt;/p&gt; &lt;p&gt;2.Least count of vernier calipers L.C = &lt;img class="latex" title="\frac{S}{N}" src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7BS%7D%7BN%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{S}{N}" /&gt; cm,&lt;/p&gt; &lt;p&gt;S = value of 1 Main scale division , N = Number of vernier divisions.&lt;/p&gt; &lt;p&gt;3.Length (or) diameter  of Cylinder = Main scale reading (a) cm + ( n*L.C ) cm.&lt;/p&gt; &lt;p&gt;n = vernier coincidence .&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;span style="text-decoration: underline;"&gt;&lt;strong&gt;Procedure&lt;/strong&gt;&lt;/span&gt;&lt;/span&gt; : First we have to determine the least count count of the given vernier calipers.&lt;/p&gt; &lt;p style="text-align: left;"&gt;To determine the volume of the  cylinder we have to determine a)the length of the cylinder and b) radius of the cylinder and substituting these values in the equation for the volume of the cylinder we can calculate it.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;&lt;strong&gt;a) &lt;/strong&gt;&lt;strong&gt;To determine the length of the cylinder&lt;/strong&gt;&lt;/span&gt; : Given cylinder is held gently between jaws 1,1 of the vernier calipers.The reading on the main scale just before the zero of the vernier is noted.This is called Main scale reading (M.S.R).The number of division (n) on the vernier which coincides perfectly with any one of the main scale divisions is noted.This is called vernier coincidence (V.C).The vernier coincidence (V.C=n) is multiplied by least count to get the fraction of a main scale division.This is added to the main scale reading (M.S.R) to total reading or total length of the cylinder.&lt;/p&gt; &lt;p style="text-align: left;"&gt;Total reading = M.S.R + (&lt;img class="latex" title="V.C\times L.C" src="http://l.wordpress.com/latex.php?latex=V.C%5Ctimes+L.C&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="V.C\times L.C" /&gt;)&lt;/p&gt; &lt;p style="text-align: left;"&gt;Take the readings,keeping the cylinders between jaws 1,1 at different positions.Post the values of M.S.R and vernier coincidence (n) in the table.Take at least 5 readings, get the average of these 5 readings which is mean length(&lt;em&gt;l &lt;/em&gt;)of the cylinder.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;&lt;strong&gt;b)To determine the diameter of the cylinder &lt;/strong&gt;&lt;/span&gt;: Place the cylinder diametrically between the jaws 1,1 of the vernier calipers, as in the above case post the values of M.S.R and vernier coincidence (n) in the table. Take at least 5 readings, calculate the average of these readings which gives the mean diameter ( d=2r ) of the cylinder.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;&lt;strong&gt;c) To determine the volume of the cylinder&lt;/strong&gt;&lt;/span&gt; :Substituting the values of mean length (&lt;em&gt;l &lt;/em&gt;) of the cylinder and mean diameter ( r) of the cylinder which is already determined, in the formula V = &lt;img class="latex" title="\pi r^2 l cm^3" src="http://l.wordpress.com/latex.php?latex=%5Cpi+r%5E2+l+cm%5E3&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\pi r^2 l cm^3" /&gt;.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;span style="text-decoration: underline;"&gt;&lt;strong&gt;Determine Least count of vernier calipers&lt;/strong&gt;&lt;/span&gt;&lt;/span&gt; : From the given vernier calipers&lt;/p&gt; &lt;p style="text-align: left;"&gt;S= Length of Main scale division = 1 mm = 0.1 cm,&lt;/p&gt; &lt;p style="text-align: left;"&gt;N = Number of vernier scale divisions = 10 ,&lt;/p&gt; &lt;p style="text-align: left;"&gt;Substitute these values in the formula of Least count L.C = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7BS%7D%7BN%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{S}{N}" title="\frac{S}{N}" class="latex" /&gt; = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B0.1%7D%7B10%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{0.1}{10}" title="\frac{0.1}{10}" class="latex" /&gt; =0.01 cm.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;strong&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;Table - Length of the cylinder&lt;/span&gt;&lt;/strong&gt; :&lt;/p&gt; &lt;table style="text-align: center;" border="1" cellpadding="2" cellspacing="0" width="455"&gt; &lt;tbody&gt; &lt;tr&gt; &lt;td align="middle" width="41"&gt;S.No&lt;/td&gt; &lt;td align="middle" width="105"&gt;M.S.R                acm&lt;/td&gt; &lt;td align="middle" width="129"&gt;Vernier Coincidence   (n)&lt;/td&gt; &lt;td align="middle" width="74"&gt;Fraction   b=n*L.C&lt;/td&gt; &lt;td align="middle" width="104"&gt;Total Reading (a+b) cm&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="43"&gt;1.&lt;/td&gt; &lt;td valign="top" width="106"&gt;2.6&lt;/td&gt; &lt;td valign="top" width="128"&gt;9&lt;/td&gt; &lt;td valign="top" width="74"&gt;0.09&lt;/td&gt; &lt;td valign="top" width="103"&gt;2.69&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="44"&gt;2.&lt;/td&gt; &lt;td valign="top" width="107"&gt;2.7&lt;/td&gt; &lt;td valign="top" width="128"&gt;1&lt;/td&gt; &lt;td valign="top" width="74"&gt;0.01&lt;/td&gt; &lt;td valign="top" width="103"&gt;2.71&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="43"&gt;3.&lt;/td&gt; &lt;td valign="top" width="108"&gt;2.7&lt;/td&gt; &lt;td valign="top" width="127"&gt;2&lt;/td&gt; &lt;td valign="top" width="74"&gt;0.02&lt;/td&gt; &lt;td valign="top" width="102"&gt;2.72&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="44"&gt;4.&lt;/td&gt; &lt;td valign="top" width="109"&gt;2.7&lt;/td&gt; &lt;td valign="top" width="127"&gt;2&lt;/td&gt; &lt;td valign="top" width="73"&gt;0.02&lt;/td&gt; &lt;td valign="top" width="102"&gt;2.72&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="44"&gt;5.&lt;/td&gt; &lt;td valign="top" width="110"&gt;2.6&lt;/td&gt; &lt;td valign="top" width="127"&gt;8&lt;/td&gt; &lt;td valign="top" width="74"&gt;0.08&lt;/td&gt; &lt;td valign="top" width="103"&gt;2.68&lt;/td&gt; &lt;/tr&gt; &lt;/tbody&gt; &lt;/table&gt; &lt;p style="text-align: left;"&gt;Average length of the cylinder &lt;em&gt;l&lt;/em&gt; = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B2.69%2B2.71%2B2.72%2B2.72%2B2.68%7D%7B5%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{2.69+2.71+2.72+2.72+2.68}{5}" title="\frac{2.69+2.71+2.72+2.72+2.68}{5}" class="latex" /&gt; cm=&lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B13.52%7D%7B5%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{13.52}{5}" title="\frac{13.52}{5}" class="latex" /&gt; = 2.70 cm&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;strong&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;b) Diameter of the cylinder&lt;/span&gt;&lt;/strong&gt; :&lt;/p&gt; &lt;p&gt;&lt;strong&gt;&lt;/strong&gt;&lt;/p&gt; &lt;table style="height: 136px; text-align: center;" border="1" cellpadding="2" cellspacing="0" width="455"&gt; &lt;tbody&gt; &lt;tr&gt; &lt;td align="middle" width="41"&gt;S.No&lt;/td&gt; &lt;td align="middle" width="105"&gt;M.S.R                acm&lt;/td&gt; &lt;td align="middle" width="129"&gt;Vernier Coincidence   (n)&lt;/td&gt; &lt;td align="middle" width="74"&gt;Fraction   b=n*L.C&lt;/td&gt; &lt;td align="middle" width="104"&gt;Total Reading (a+b) cm&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="43"&gt;1.&lt;/td&gt; &lt;td valign="top" width="106"&gt;1.4&lt;/td&gt; &lt;td valign="top" width="128"&gt;5&lt;/td&gt; &lt;td valign="top" width="74"&gt;0.05&lt;/td&gt; &lt;td valign="top" width="103"&gt;1.45&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="44"&gt;2.&lt;/td&gt; &lt;td valign="top" width="107"&gt;1.4&lt;/td&gt; &lt;td valign="top" width="128"&gt;4&lt;/td&gt; &lt;td valign="top" width="74"&gt;0.04&lt;/td&gt; &lt;td valign="top" width="103"&gt;1.44&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="43"&gt;3.&lt;/td&gt; &lt;td valign="top" width="108"&gt;1.4&lt;/td&gt; &lt;td valign="top" width="127"&gt;6&lt;/td&gt; &lt;td valign="top" width="74"&gt;0.06&lt;/td&gt; &lt;td valign="top" width="102"&gt;1.46&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="44"&gt;4.&lt;/td&gt; &lt;td valign="top" width="109"&gt;1.4&lt;/td&gt; &lt;td valign="top" width="127"&gt;5&lt;/td&gt; &lt;td valign="top" width="73"&gt;0.05&lt;/td&gt; &lt;td valign="top" width="102"&gt;1.45&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="44"&gt;5.&lt;/td&gt; &lt;td valign="top" width="110"&gt;1.4&lt;/td&gt; &lt;td valign="top" width="127"&gt;6&lt;/td&gt; &lt;td valign="top" width="74"&gt;0.06&lt;/td&gt; &lt;td valign="top" width="103"&gt;1.46&lt;/td&gt; &lt;/tr&gt; &lt;/tbody&gt; &lt;/table&gt; &lt;p style="text-align: left;"&gt;Average diameter of the cylinder  d = 2r = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B1.45%2B1.44%2B1.46%2B1.45%2B1.46%7D%7B5%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{1.45+1.44+1.46+1.45+1.46}{5}" title="\frac{1.45+1.44+1.46+1.45+1.46}{5}" class="latex" /&gt; cm=&lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B7.26%7D%7B5%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{7.26}{5}" title="\frac{7.26}{5}" class="latex" /&gt; = 1.45 cm,&lt;/p&gt; &lt;p style="text-align: left;"&gt;Average radius of the cylinder r =&lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7Bd%7D%7B2%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{d}{2}" title="\frac{d}{2}" class="latex" /&gt; =&lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B1.45%7D%7B2%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{1.45}{2}" title="\frac{1.45}{2}" class="latex" /&gt; cm = 0.73 cm.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;span style="text-decoration: underline;"&gt;&lt;strong&gt;Observations &lt;/strong&gt;&lt;/span&gt;&lt;/span&gt;:&lt;/p&gt; &lt;p style="text-align: left;"&gt;Average length of the cylinder  &lt;em&gt;l = &lt;/em&gt;2.70 cm,&lt;/p&gt; &lt;p style="text-align: left;"&gt;Average radius of the cylinder r = 0.73 cm.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;span style="text-decoration: underline;"&gt;&lt;strong&gt;Calculations&lt;/strong&gt;&lt;/span&gt;&lt;/span&gt; : Volume of the cylinder V = &lt;img class="latex" title="\pi r^2 l" src="http://l.wordpress.com/latex.php?latex=%5Cpi+r%5E2+l&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\pi r^2 l" /&gt; &lt;img class="latex" title="cm^3" src="http://l.wordpress.com/latex.php?latex=cm%5E3&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="cm^3" /&gt; = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B22%7D%7B7%7D%5Ctimes%280.73%29%5E2%5Ctimes2.70&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{22}{7}\times(0.73)^2\times2.70" title="\frac{22}{7}\times(0.73)^2\times2.70" class="latex" /&gt;  &lt;img class="latex" title="cm^3" src="http://l.wordpress.com/latex.php?latex=cm%5E3&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="cm^3" /&gt; = 4.52   &lt;img class="latex" title="cm^3" src="http://l.wordpress.com/latex.php?latex=cm%5E3&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="cm^3" /&gt;&lt;/p&gt; &lt;p style="text-align: left;"&gt; &lt;/p&gt;&lt;p style="text-align: left;"&gt;&lt;strong&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;span style="text-decoration: underline;"&gt;Precautions &lt;/span&gt;&lt;/span&gt;&lt;/strong&gt;: 1) Take the M.S.R  and vernier coincide every time without parallax error.&lt;/p&gt; &lt;p style="text-align: left;"&gt;2)Record all the reading in same system preferably in C.G.S system.&lt;/p&gt; &lt;p style="text-align: left;"&gt;3) Do not apply excess pressure on the body held between the jaws.&lt;/p&gt; &lt;p style="text-align: left;"&gt;4) Check for the ZERO error.When the two jaws of the vernier are in contact,if the zero division of the main scale coincides with the zero of the vernier scale no ZERO error will be there.If not ZERO error will be there, apply correction.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(51, 102, 255);"&gt;&lt;strong&gt;&lt;span style="text-decoration: underline;"&gt;Result and Units&lt;/span&gt;&lt;/strong&gt;&lt;/span&gt; : Volume of the cylinder V =  4.52   &lt;img class="latex" title="cm^3" src="http://l.wordpress.com/latex.php?latex=cm%5E3&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="cm^3" /&gt;.&lt;/p&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/7972338390481108463-455080359000887704?l=gyanraj.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://gyanraj.blogspot.com/feeds/455080359000887704/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://gyanraj.blogspot.com/2009_02_01_archive.html#455080359000887704#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7972338390481108463/posts/default/455080359000887704'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7972338390481108463/posts/default/455080359000887704'/><link rel='alternate' type='text/html' href='http://gyanraj.blogspot.com/2009_02_01_archive.html#455080359000887704' title='Find the volume of cylinder - Vernier calipers.'/><author><name>chavan gyanraj</name><uri>http://www.blogger.com/profile/02460504823573498104</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='31' height='32' src='http://1.bp.blogspot.com/_vqDIAUuYyxg/SV9M8exWCkI/AAAAAAAAACs/pvOlQ950TkE/S220/cgr6.jpg'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7972338390481108463.post-6147991433853579379</id><published>2009-02-08T03:17:00.000-08:00</published><updated>2009-03-11T09:00:10.035-07:00</updated><category scheme='http://www.blogger.com/atom/ns#' term='Practicals'/><category scheme='http://www.blogger.com/atom/ns#' term='Practical exam Question bank'/><title type='text'>Practical Exams Question bank.</title><content type='html'>&lt;div class="storycontent"&gt;   &lt;div class="snap_preview"&gt;&lt;p align="center"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;&lt;strong&gt;Physics Practical Examination&lt;/strong&gt;&lt;/span&gt;&lt;/p&gt; &lt;p align="center"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;&lt;strong&gt;( Board of Intermediate Education, Andhrapradesh)&lt;br /&gt;&lt;/strong&gt;&lt;/span&gt;&lt;/p&gt; &lt;p align="center"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;&lt;strong&gt;Question Bank&lt;/strong&gt;&lt;/span&gt;&lt;/p&gt; &lt;p align="center"&gt;&lt;span style="text-decoration: underline;"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;&lt;strong&gt;SECTION - A&lt;/strong&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt; &lt;p&gt;1.&lt;a href="http://gyanraj.blogspot.com/2009_02_01_archive.html#455080359000887704"&gt;Find the volume of given cylinder using vernier calipers. &lt;/a&gt;&lt;br /&gt;&lt;/p&gt; &lt;p&gt;2.&lt;a href="http://gyanraj.blogspot.com/2009_02_01_archive.html#3644715783567159463"&gt;Find the volume of given sphere using vernier calipers. &lt;/a&gt;&lt;br /&gt;&lt;/p&gt; &lt;p&gt;3.&lt;a href="http://gyanraj.blogspot.com/2009_03_01_archive.html#2407025441578902594"&gt;Compare the radii of given three wires using screw gauge. &lt;/a&gt;&lt;br /&gt;&lt;/p&gt; &lt;p&gt;4.&lt;a href="http://gyanraj.blogspot.com/2009_03_01_archive.html#33464464611646090"&gt;Find the volume of the given rectangular glass plate using vernier calipers  and screw gauge &lt;/a&gt;( Take at least 3 observations).&lt;/p&gt; &lt;p&gt;5.Find the volume of given cylinder bt measuring the length with vernier  calipers and radius with screw gauge.&lt;/p&gt; &lt;p&gt;6.Find the thickness of given glass plate and radius of curvature of given  curved surface (watch glass) using spherometer.&lt;/p&gt; &lt;p&gt;7.Find the thickness of glass plate with spherometer and verify the result  with a screw gauge.&lt;/p&gt; &lt;p&gt;8.Find the focal length of given sphrecal mirror with spherometer.&lt;/p&gt; &lt;p&gt;9.Find the mass of the given body correct to milligram using a common  balance.&lt;/p&gt; &lt;p align="center"&gt;&lt;span style="text-decoration: underline;"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;&lt;strong&gt;SECTION - B&lt;/strong&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt; &lt;p&gt;10.Find the value of ‘g’ at a given place using a simple pendulum.Also find  the percentage error in measurement.&lt;/p&gt; &lt;p&gt;11.Find the acceleration due to gravity at your place using simple pendulum  from &lt;em&gt;l -&lt;/em&gt;&lt;img src="http://l.wordpress.com/latex.php?latex=T%5E2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="T^2" title="T^2" class="latex" /&gt; graph.Find length of seconds pendulum also.&lt;/p&gt; &lt;p&gt;12.Find length of seconds pendulum from &lt;em&gt;l -&lt;/em&gt;&lt;img src="http://l.wordpress.com/latex.php?latex=T%5E2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="T^2" title="T^2" class="latex" /&gt; graph.&lt;/p&gt; &lt;p&gt;13.Verify parallelogram law of forces.Find weight of given stone in air.&lt;/p&gt; &lt;p&gt;14.Verify the triangle law of forces take 3 readings).Find relative density  of given stone.&lt;/p&gt; &lt;p&gt;15.Find the volume of the given stone using parallelogram law of forces.Take  3 observations.&lt;/p&gt; &lt;p&gt;16.Find the volume of the stone applying the triangle law of forces.&lt;/p&gt; &lt;p&gt;17.Verify Boyle’s law and draw p-l graph ( Take 8 observations).&lt;/p&gt; &lt;p align="center"&gt;&lt;span style="text-decoration: underline;"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;&lt;strong&gt;SECTION - C&lt;/strong&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt; &lt;p&gt;18.Verify Boyle’s law. Draw  h-&lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B1%7D%7Bl%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{1}{l}" title="\frac{1}{l}" class="latex" /&gt; graph.(take 6 observations)&lt;/p&gt; &lt;p&gt;19.Using Boyle’s law apparatus,draw h-&lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B1%7D%7Bl%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{1}{l}" title="\frac{1}{l}" class="latex" /&gt; graph.Hence find the atmospheric  pressure.&lt;/p&gt; &lt;p&gt;20. Find the co-efficient of apparent expansion of given liquid using the  specific gravity bottle.&lt;/p&gt; &lt;p&gt;21.Find the co-efficient of real or absolute expansion of the given liquid  using specific gravity bottle.&lt;/p&gt; &lt;p&gt;22.Find the specific heat of solid by method of mixtures.&lt;/p&gt; &lt;p&gt;23.Find the surface tension of water by capillary rise method.&lt;/p&gt; &lt;p&gt;24.Determine the radius of the bore of given capillary tube by capillary rise  method.(T = 72 dyne/cm)&lt;/p&gt; &lt;p align="center"&gt;&lt;span style="text-decoration: underline;"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;&lt;strong&gt;SECTION - D&lt;/strong&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt; &lt;p&gt;25.Find the focal length of given concave mirror by u - v method.Draw u - v graph and hence find its focal length.Compare these two values.&lt;/p&gt; &lt;p&gt;26.Find the focal length of given concave mirror by u , v method.Verify the  result from &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B1%7D%7Bu%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{1}{u}" title="\frac{1}{u}" class="latex" /&gt;-&lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B1%7D%7Bv%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{1}{v}" title="\frac{1}{v}" class="latex" /&gt; graph method.&lt;/p&gt; &lt;p&gt;27.Find the focal length of given convex lens by u - v method.Verify the  result from u - v graph.&lt;/p&gt; &lt;p&gt;28.Find the focal length of given convex lens from u - v graph.Verify result  from &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B1%7D%7Bu%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{1}{u}" title="\frac{1}{u}" class="latex" /&gt;-&lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B1%7D%7Bv%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{1}{v}" title="\frac{1}{v}" class="latex" /&gt; graph.&lt;/p&gt; &lt;p&gt;29.Find the focal length of given convex lens by u - v method.Verify the  results from &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B1%7D%7Bu%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{1}{u}" title="\frac{1}{u}" class="latex" /&gt;-&lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B1%7D%7Bv%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{1}{v}" title="\frac{1}{v}" class="latex" /&gt; graph.&lt;/p&gt; &lt;p&gt;30.Find the focal length of yhe given convex lens by lens displacement  or  conjugate foci  method.&lt;/p&gt; &lt;p&gt;31.For a prism , assuming the angle of the Prism as &lt;img src="http://l.wordpress.com/latex.php?latex=60%5E0&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="60^0" title="60^0" class="latex" /&gt;,draw I-d  curve and hence determine the refractive index of material of the prism.&lt;/p&gt; &lt;p&gt;32.Draw I-d curve and determine the angle of the prism assuming refractive  index of glass as 1.5 .&lt;/p&gt; &lt;p style="text-align: center;"&gt;&lt;span style="text-decoration: underline;"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;&lt;strong&gt;SECTION - E&lt;/strong&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt; &lt;p&gt;33. Find velocity of sound in air at room temperature.(using 3 tuning forks)  and estimate its value at &lt;img src="http://l.wordpress.com/latex.php?latex=0%5E0&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="0^0" title="0^0" class="latex" /&gt; C.&lt;/p&gt; &lt;p&gt;34.Compare the frequencies of the given two tuning forks using resonance  apparatus.&lt;/p&gt; &lt;p&gt;35.Find the frequencies of the two given tuning forks using resonating air  column apparatus.(Velocity of sound in air = 330 &lt;img src="http://l.wordpress.com/latex.php?latex=m%2Fsec%5E2&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="m/sec^2" title="m/sec^2" class="latex" /&gt;&lt;/p&gt; &lt;p&gt;36.Draw the lines of force around a short bar magnet placed with its North pole pointing the North in the earths magnetic field and locate null or neutral points, and find the magnetic moment of the given magnet.&lt;/p&gt; &lt;p&gt;37.Draw the lines of force around a short magnet placed with the  south pole pointing the North in the earth’s magnetic field and locate null points and find pole strength of the magnet.&lt;/p&gt; &lt;p&gt;38.Verify Inverse square law using deflection magneto-meter.Take 3  readings.&lt;/p&gt; &lt;p&gt;39.Compare the magnetic moments of given two magnets using a deflection magnetometer in Tan - B position by i)equal distance method and compare results with null method.Take 2 observations in each case.&lt;/p&gt; &lt;p&gt;40.Compare the magnetic moments of given two magnets using a deflection magnetometer in Tan - A position by i)equal distance method and compare results with null method.Take 2 observations in each case.&lt;/p&gt; &lt;p&gt;41.Measure the current flowing through a circuit using a tangent galvanometer.Verify the results using an ammeter in the circuit.&lt;/p&gt; &lt;p&gt;42.Find the reduction factor of the tangent galvanometer using an ammeter in  the circuit.Verify the result from theory.&lt;/p&gt; &lt;p align="center"&gt;&lt;span style="text-decoration: underline;"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;&lt;strong&gt;SECTION - F&lt;/strong&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt; &lt;p&gt;43.Draw R - Cos&lt;img src="http://l.wordpress.com/latex.php?latex=%5Ctheta&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\theta" title="\theta" class="latex" /&gt; graph and hence verify the Ohm’s law.&lt;/p&gt; &lt;p&gt;44.Draw R - Cos&lt;img src="http://l.wordpress.com/latex.php?latex=%5Ctheta&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\theta" title="\theta" class="latex" /&gt; graph and hence find the resistance of the  tangent galvanometer and the battery.&lt;/p&gt; &lt;p&gt;45.Find the resistance and specific resistance of the given wire using a  meter bridge.&lt;/p&gt; &lt;p&gt;46.Using mere bridge , find the resistance of given wires by connecting them  in series and in parallel.&lt;/p&gt; &lt;p&gt;47.Compare the resistance’s of the given two wires using meter bridge.&lt;/p&gt; &lt;p&gt;48. Draw voltage - current ( V-I) characteristics of junction diode.&lt;/p&gt; &lt;/div&gt; &lt;/div&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/7972338390481108463-6147991433853579379?l=gyanraj.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://gyanraj.blogspot.com/feeds/6147991433853579379/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://gyanraj.blogspot.com/2009_02_01_archive.html#6147991433853579379#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7972338390481108463/posts/default/6147991433853579379'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7972338390481108463/posts/default/6147991433853579379'/><link rel='alternate' type='text/html' href='http://gyanraj.blogspot.com/2009_02_01_archive.html#6147991433853579379' title='Practical Exams Question bank.'/><author><name>chavan gyanraj</name><uri>http://www.blogger.com/profile/02460504823573498104</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='31' height='32' src='http://1.bp.blogspot.com/_vqDIAUuYyxg/SV9M8exWCkI/AAAAAAAAACs/pvOlQ950TkE/S220/cgr6.jpg'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7972338390481108463.post-3792232033232388858</id><published>2009-02-07T00:28:00.000-08:00</published><updated>2009-02-07T00:56:48.469-08:00</updated><category scheme='http://www.blogger.com/atom/ns#' term='Scheme of valuation'/><title type='text'>Scheme of valuation , Practical Examinations</title><content type='html'>&lt;p align="center"&gt;&lt;strong&gt;&lt;u&gt;INTERMEDIATE PUBLIC EXAMINATIONS&lt;/u&gt;&lt;/strong&gt;&lt;/p&gt; &lt;p align="center"&gt;&lt;strong&gt;&lt;u&gt;PHYSICS PRACTICALS SCHEME OF PAPER  VALUATION&lt;/u&gt;&lt;/strong&gt;&lt;/p&gt; &lt;p align="center"&gt;Time : 3  Hours ________________________________________________Max  Marks :30&lt;/p&gt; &lt;table style="width: 529px; height: 219px;" unselectable="on" border="1" cellpadding="2" cellspacing="0"&gt; &lt;tbody&gt; &lt;tr&gt; &lt;td valign="top" width="35"&gt;S.NO&lt;/td&gt; &lt;td valign="top" width="268"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="89"&gt;Marks&lt;/td&gt;&lt;/tr&gt; &lt;tr&gt; &lt;td valign="top" width="36"&gt;1.&lt;/td&gt; &lt;td valign="top" width="268"&gt;Formula and Procedure&lt;/td&gt; &lt;td valign="top" width="89"&gt;5 (2+3)&lt;/td&gt;&lt;/tr&gt; &lt;tr&gt; &lt;td valign="top" width="38"&gt;2.&lt;/td&gt; &lt;td valign="top" width="268"&gt;Tabular form - Observations and Graph&lt;/td&gt; &lt;td valign="top" width="89"&gt;8 (2+4+2)&lt;/td&gt;&lt;/tr&gt; &lt;tr&gt; &lt;td valign="top" width="39"&gt;3.&lt;/td&gt; &lt;td valign="top" width="268"&gt;Calculations , Result and Units&lt;/td&gt; &lt;td valign="top" width="89"&gt;6 (4+1+1)&lt;/td&gt;&lt;/tr&gt; &lt;tr&gt; &lt;td valign="top" width="40"&gt;4.&lt;/td&gt; &lt;td valign="top" width="268"&gt;Precautions&lt;/td&gt; &lt;td valign="top" width="89"&gt;2&lt;/td&gt;&lt;/tr&gt; &lt;tr&gt; &lt;td valign="top" width="41"&gt;5.&lt;/td&gt; &lt;td valign="top" width="268"&gt;Viva - Voce&lt;/td&gt; &lt;td valign="top" width="89"&gt;5&lt;/td&gt;&lt;/tr&gt; &lt;tr&gt; &lt;td valign="top" width="41"&gt;6.&lt;/td&gt; &lt;td valign="top" width="268"&gt;Record book&lt;/td&gt; &lt;td valign="top" width="89"&gt;4&lt;/td&gt;&lt;/tr&gt; &lt;tr&gt; &lt;td valign="top" width="41"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="268"&gt;Total&lt;/td&gt; &lt;td valign="top" width="89"&gt;30&lt;/td&gt;&lt;/tr&gt;&lt;/tbody&gt;&lt;/table&gt; &lt;p&gt; Every student appearing for Intermediate practical examinations should know the scheme of valuation.While answering the question the student should keep in mind, that he should write the formula and procedure of the experiment.Then he should draw the Table to record the readings, after recording the readings , complete the calulations neately under the heading Calculations. After getting the result cleary write the value under the head Result and do not forget to write proper units where ever necessary.&lt;br /&gt;&lt;/p&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/7972338390481108463-3792232033232388858?l=gyanraj.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://gyanraj.blogspot.com/feeds/3792232033232388858/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://gyanraj.blogspot.com/2009_02_01_archive.html#3792232033232388858#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7972338390481108463/posts/default/3792232033232388858'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7972338390481108463/posts/default/3792232033232388858'/><link rel='alternate' type='text/html' href='http://gyanraj.blogspot.com/2009_02_01_archive.html#3792232033232388858' title='Scheme of valuation , Practical Examinations'/><author><name>chavan gyanraj</name><uri>http://www.blogger.com/profile/02460504823573498104</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='31' height='32' src='http://1.bp.blogspot.com/_vqDIAUuYyxg/SV9M8exWCkI/AAAAAAAAACs/pvOlQ950TkE/S220/cgr6.jpg'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7972338390481108463.post-876933736335753452</id><published>2009-01-30T05:58:00.001-08:00</published><updated>2009-02-04T03:52:05.759-08:00</updated><category scheme='http://www.blogger.com/atom/ns#' term='Practicals'/><category scheme='http://www.blogger.com/atom/ns#' term='Inter I Year Practicals'/><category scheme='http://www.blogger.com/atom/ns#' term='Vernier Calipers'/><category scheme='http://www.blogger.com/atom/ns#' term='Measurements'/><title type='text'>Experiment :Vernier Calipers.</title><content type='html'>&lt;span style="color: rgb(204, 0, 0); font-weight: bold;"&gt;Aim&lt;/span&gt;: To determine  i) The volume of the given cylinder by measuring its length and diameter&lt;br /&gt;ii ) The volume of the given sphere by measuring its  diameter.&lt;br /&gt;&lt;br /&gt;&lt;span style="font-weight: bold; color: rgb(204, 0, 0);"&gt;Apparatus&lt;/span&gt; : Vernier Calipers,Cylinder and sphere.&lt;br /&gt;&lt;br /&gt;&lt;span style="font-weight: bold; color: rgb(204, 0, 0);"&gt;Description of Vernier Calipers&lt;/span&gt;: A Vernier calipers consists of mainly two parts i) A 2cm wide 15cm long rectangular metal strip .The left end bottom side of this strip consists of a fixed jaw 1 (A) and at the same end  jaw 2(C) at the top of this strip. On the strip a scale (5)is graduated in &lt;span style="font-weight: bold;"&gt;Inches&lt;/span&gt; along the upper edge and  another scale(4) is graduated in&lt;span style="font-weight: bold;"&gt; Centimeters&lt;/span&gt; along the lower edge. This is called &lt;span style="font-weight: bold;"&gt;Main Scale&lt;/span&gt;  &lt;span style="font-weight: bold;"&gt;'S'&lt;/span&gt; .&lt;br /&gt;&lt;a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://2.bp.blogspot.com/_vqDIAUuYyxg/SYNAMDx44QI/AAAAAAAAAFU/T1M14H7h6TQ/s1600-h/Vernier+Calipers.png"&gt;&lt;img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 245px; height: 85px;" src="http://2.bp.blogspot.com/_vqDIAUuYyxg/SYNAMDx44QI/AAAAAAAAAFU/T1M14H7h6TQ/s200/Vernier+Calipers.png" alt="" id="BLOGGER_PHOTO_ID_5297148162634998018" border="0" /&gt;&lt;/a&gt;ii) A metal frame V called vernier slides over the &lt;span style="font-weight: bold;"&gt;Main Scale&lt;/span&gt;  &lt;span style="font-weight: bold;"&gt;'S'&lt;/span&gt; . At the bottom of this frame V a button 8(P) is attached,which helps to fix this vernier at any desired place on the main scale.This verier frame consists of jaw1 (B) at the bottom and a jaw 2(D) at the top .Two scales are graduated on this frame corresponding to two scales on the &lt;span style="font-weight: bold;"&gt;Main Scale&lt;/span&gt;  &lt;span style="font-weight: bold;"&gt;'S'&lt;/span&gt;. The two scales 6 and 7  on the vernier are called &lt;span style="font-weight: bold;"&gt;Vernier scale.&lt;/span&gt;&lt;span style="font-weight: bold;"&gt;Vernier scale &lt;/span&gt;consists of equal number of divisions. When we move vernier frame over the main scale, a thin strip (3) will be projected out.The projection will be exactly equal to the distance between Jaws 1(AB) i.e the thickness of the object between jaws.&lt;br /&gt;The lower jaws 1,1(AB) are used to measure the thickness or external diameter of the tubes,cylinders or spheres.&lt;br /&gt;The upper jaws 2,2 (CD) are used to measure the inner diameters of hallow bodies like tubes or holes.&lt;br /&gt;The thin strip ( 3) is used to measure the depth of the objects like test tubes.&lt;br /&gt;&lt;br /&gt;&lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;&lt;strong&gt;Theory&lt;/strong&gt;&lt;/span&gt; :  Principle of vernier calipers - &lt;strong&gt;N divisions on the vernier scale is equal to (N-1) divisions on the main scal&lt;/strong&gt;e.&lt;/p&gt; &lt;p style="text-align: left;"&gt;N V.S.D = (N-1) M.S.D&lt;/p&gt; &lt;p style="text-align: left;"&gt;1 V.S.D = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B%28N-1%29%7D%7BN%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{(N-1)}{N}" title="\frac{(N-1)}{N}" class="latex" /&gt; M.S.D&lt;/p&gt; &lt;p style="text-align: left;"&gt;Least count (L.C) of vernier calipers : Minimum length or thickness measurable with the vernier calipers is called its least count.&lt;/p&gt; &lt;p style="text-align: left;"&gt;Least count (L.C) = 1 M.S.D - 1 V.S.D&lt;/p&gt; &lt;p style="text-align: left;"&gt;L.C = 1 M.S.D - &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B%28N-1%29%7D%7BN%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{(N-1)}{N}" title="\frac{(N-1)}{N}" class="latex" /&gt; M.S.D&lt;/p&gt; &lt;p style="text-align: left;"&gt;L.C = 1 M.S.D [ 1-&lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B%28N-1%29%7D%7BN%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{(N-1)}{N}" title="\frac{(N-1)}{N}" class="latex" /&gt;]&lt;/p&gt; &lt;p style="text-align: left;"&gt;L.C = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B1+M.S.D%7D%7BN%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{1 M.S.D}{N}" title="\frac{1 M.S.D}{N}" class="latex" /&gt;  = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7BS%7D%7BN%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{S}{N}" title="\frac{S}{N}" class="latex" /&gt;&lt;/p&gt; &lt;p style="text-align: left;"&gt;Where S is the value of  one Main scale division and N is the number of equal divisions on the vernier scale.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;&lt;strong&gt;Procedure&lt;/strong&gt;&lt;/span&gt; : First we have to determine the least count count of the given vernier calipers.&lt;/p&gt; &lt;p style="text-align: left;"&gt;To determine the volume of the  cylinder we have to determine a)the length of the cylinder and b) radius of the cylinder and substituting these values in the equation for the volume of the cylinder we can calculate it.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;&lt;strong&gt;a) &lt;/strong&gt;&lt;strong&gt;To determine the length of the cylinder&lt;/strong&gt;&lt;/span&gt; : Given cylinder is held gently between jaws 1,1 of the vernier calipers.The reading on the main scale just before the zero of the vernier is noted.This is called Main scale reading (M.S.R).The number of division (n) on the vernier which coincides perfectly with any one of the main scale divisions is noted.This is called vernier coincidence (V.C).The vernier coincidence (V.C=n) is multiplied by least count to get the fraction of a main scale division.This is added to the main scale reading (M.S.R) to total reading or total length of the cylinder.&lt;/p&gt; &lt;p style="text-align: left;"&gt;Total reading = M.S.R + (&lt;img src="http://l.wordpress.com/latex.php?latex=V.C%5Ctimes+L.C&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="V.C\times L.C" title="V.C\times L.C" class="latex" /&gt;)&lt;/p&gt; &lt;p style="text-align: left;"&gt;Take the readings,keeping the cylinders between jaws 1,1 at different positions.Post the values of M.S.R and vernier coincidence (n) in the table.Take at least 5 readings, get the average of these 5 readings which is mean length(&lt;em&gt;l &lt;/em&gt;)of the cylinder.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;&lt;strong&gt;b)To determine the diameter of the cylinder &lt;/strong&gt;&lt;/span&gt;: Place the cylinder diametrically between the jaws 1,1 of the vernier calipers, as in the above case post the values of M.S.R and vernier coincidence (n) in the table. Take at least 5 readings, calculate the average of these readings which gives the mean diameter ( d=2r ) of the cylinder.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;&lt;strong&gt;c) To determine the volume of the cylinder&lt;/strong&gt;&lt;/span&gt; :Substituting the values of mean length (&lt;em&gt;l &lt;/em&gt;) of the cylinder and mean diameter ( r) of the cylinder which is already determined, in the formula V = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cpi+r%5E2+l+cm%5E3&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\pi r^2 l cm^3" title="\pi r^2 l cm^3" class="latex" /&gt;.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;&lt;strong&gt;d)To determine the diameter of the sphere&lt;/strong&gt;&lt;/span&gt; : The given sphere is held firmly between jaws of the vernier calipers, in such a way the points where the jaws are in contact with sphere should be the two extremes of the chord of the cylinder.Post the values of the M.S.R and vernier coincidence (n) in the table . Take at least 5 readings, calculate the average of these readings which gives the mean diameter (d=2 r ) of the sphere.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;&lt;strong&gt;e)&lt;/strong&gt;&lt;/span&gt;&lt;strong&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;To determine the volume of the sphere&lt;/span&gt; :&lt;/strong&gt;Calculate the radius of the sphere  r = d/2 .Substitute the value of  mean radius (r)  in the formula of the volume of the sphere V = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B4%7D%7B3%7D+%5Cpi+r%5E3+cm%5E3&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{4}{3} \pi r^3 cm^3" title="\frac{4}{3} \pi r^3 cm^3" class="latex" /&gt; .&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;strong&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;Precautions to be taken while doing the experiment&lt;/span&gt; &lt;/strong&gt;: 1) Take the M.S.R  and vernier coincide every time without parallax error. 2)Record all the reading in same system preferably in C.G.S system. 3) Do not apply excess pressure on the body held between the jaws. 4) Check for the ZERO error.When the two jaws of the vernier are in contact,if the zero division of the main scale coincides with the zero of the vernier scale no ZERO error will be there.If not ZERO error will be there, apply correction.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;&lt;strong&gt;Observations&lt;/strong&gt;:&lt;strong&gt; &lt;/strong&gt;&lt;/span&gt;&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;&lt;strong&gt;I) Least count of Vernier calipers :&lt;/strong&gt;&lt;/span&gt;&lt;/p&gt; &lt;p style="text-align: left;"&gt;a) Value of 1 Main scale division  = 1 M.S.D = S = ……..  cm,&lt;/p&gt; &lt;p style="text-align: left;"&gt;b) Number of divisions on the vernier scale   N= ……… cm,&lt;/p&gt; &lt;p style="text-align: left;"&gt;Least count              L.C = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7BS%7D%7BN%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{S}{N}" title="\frac{S}{N}" class="latex" /&gt;   = ………. cm.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;strong&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;II) Volume of the Cylinder&lt;/span&gt;&lt;/strong&gt; :&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;strong&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;a)Length of the cylinder&lt;/span&gt;&lt;/strong&gt; :&lt;/p&gt; &lt;table border="1" cellpadding="2" cellspacing="0" width="455"&gt; &lt;tbody&gt; &lt;tr&gt; &lt;td align="middle" width="41"&gt;S.No&lt;/td&gt; &lt;td align="middle" width="105"&gt;M.S.R                acm&lt;/td&gt; &lt;td align="middle" width="129"&gt;Vernier Coincidence   (n)&lt;/td&gt; &lt;td align="middle" width="74"&gt;Fraction   b=n*L.C&lt;/td&gt; &lt;td align="middle" width="104"&gt;Total Reading (a+b) cm&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="43"&gt;1.&lt;/td&gt; &lt;td valign="top" width="106"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="128"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="74"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="103"&gt;&lt;br /&gt;&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="44"&gt;2.&lt;/td&gt; &lt;td valign="top" width="107"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="128"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="74"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="103"&gt;&lt;br /&gt;&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="43"&gt;3.&lt;/td&gt; &lt;td valign="top" width="108"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="127"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="74"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="102"&gt;&lt;br /&gt;&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="44"&gt;4.&lt;/td&gt; &lt;td valign="top" width="109"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="127"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="73"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="102"&gt;&lt;br /&gt;&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="44"&gt;5.&lt;/td&gt; &lt;td valign="top" width="110"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="127"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="74"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="103"&gt;&lt;br /&gt;&lt;/td&gt; &lt;/tr&gt; &lt;/tbody&gt; &lt;/table&gt; &lt;p style="text-align: left;"&gt;Average length of the cylinder &lt;em&gt;l&lt;/em&gt; = ……… cm.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;strong&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;b) Diameter of the cylinder&lt;/span&gt;&lt;/strong&gt; :&lt;/p&gt; &lt;p&gt;&lt;strong&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;a)Length of the cylinder&lt;/span&gt;&lt;/strong&gt; :&lt;/p&gt; &lt;table style="height: 136px;" border="1" cellpadding="2" cellspacing="0" width="455"&gt; &lt;tbody&gt; &lt;tr&gt; &lt;td align="middle" width="41"&gt;S.No&lt;/td&gt; &lt;td align="middle" width="105"&gt;M.S.R                acm&lt;/td&gt; &lt;td align="middle" width="129"&gt;Vernier Coincidence   (n)&lt;/td&gt; &lt;td align="middle" width="74"&gt;Fraction   b=n*L.C&lt;/td&gt; &lt;td align="middle" width="104"&gt;Total Reading (a+b) cm&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="43"&gt;1.&lt;/td&gt; &lt;td valign="top" width="106"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="128"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="74"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="103"&gt;&lt;br /&gt;&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="44"&gt;2.&lt;/td&gt; &lt;td valign="top" width="107"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="128"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="74"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="103"&gt;&lt;br /&gt;&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="43"&gt;3.&lt;/td&gt; &lt;td valign="top" width="108"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="127"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="74"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="102"&gt;&lt;br /&gt;&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="44"&gt;4.&lt;/td&gt; &lt;td valign="top" width="109"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="127"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="73"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="102"&gt;&lt;br /&gt;&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="44"&gt;5.&lt;/td&gt; &lt;td valign="top" width="110"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="127"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="74"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="103"&gt;&lt;br /&gt;&lt;/td&gt; &lt;/tr&gt; &lt;/tbody&gt; &lt;/table&gt; &lt;p style="text-align: left;"&gt;Average diameter of the cylinder  d = 2r = …………. cm,&lt;/p&gt; &lt;p style="text-align: left;"&gt;Mean radius of the cylinder           r = d/2 = ………….. cm,&lt;/p&gt; &lt;p style="text-align: left;"&gt;Volume of the cylinder                   V = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cpi+r%5E2+l+cm%5E3&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\pi r^2 l cm^3" title="\pi r^2 l cm^3" class="latex" /&gt;.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;strong&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;III ) Volume of the sphere&lt;/span&gt;&lt;/strong&gt; :&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;strong&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;a) Diameter of the sphere&lt;/span&gt;&lt;/strong&gt; :&lt;/p&gt; &lt;table style="height: 136px;" border="1" cellpadding="2" cellspacing="0" width="455"&gt; &lt;tbody&gt; &lt;tr&gt; &lt;td align="middle" width="41"&gt;S.No&lt;/td&gt; &lt;td align="middle" width="105"&gt;M.S.R                acm&lt;/td&gt; &lt;td align="middle" width="129"&gt;Vernier Coincidence   (n)&lt;/td&gt; &lt;td align="middle" width="74"&gt;Fraction   b=n*L.C&lt;/td&gt; &lt;td align="middle" width="104"&gt;Total Reading (a+b) cm&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="43"&gt;1.&lt;/td&gt; &lt;td valign="top" width="106"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="128"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="74"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="103"&gt;&lt;br /&gt;&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="44"&gt;2.&lt;/td&gt; &lt;td valign="top" width="107"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="128"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="74"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="103"&gt;&lt;br /&gt;&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="43"&gt;3.&lt;/td&gt; &lt;td valign="top" width="108"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="127"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="74"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="102"&gt;&lt;br /&gt;&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="44"&gt;4.&lt;/td&gt; &lt;td valign="top" width="109"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="127"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="73"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="102"&gt;&lt;br /&gt;&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td align="middle" width="44"&gt;5.&lt;/td&gt; &lt;td valign="top" width="110"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="127"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="74"&gt;&lt;br /&gt;&lt;/td&gt; &lt;td valign="top" width="103"&gt;&lt;br /&gt;&lt;/td&gt; &lt;/tr&gt; &lt;/tbody&gt; &lt;/table&gt; &lt;p style="text-align: left;"&gt;Average diameter of the sphere  d = 2r = …………. cm,&lt;/p&gt; &lt;p style="text-align: left;"&gt;Mean radius of the sphere           r = d/2 = ………….. cm,&lt;/p&gt; &lt;p style="text-align: left;"&gt;Volume of the sphere                   V = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B4%7D%7B3%7D+%5Cpi+r%5E3+cm%5E3&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{4}{3} \pi r^3 cm^3" title="\frac{4}{3} \pi r^3 cm^3" class="latex" /&gt;.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;strong&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;Result&lt;/span&gt;&lt;/strong&gt; : 1. Volume of the given cylinder  V= ……….. &lt;img src="http://l.wordpress.com/latex.php?latex=cm%5E3&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="cm^3" title="cm^3" class="latex" /&gt;&lt;/p&gt; &lt;p style="text-align: left;"&gt;2.Volume of the given sphere      V= ……….. &lt;img src="http://l.wordpress.com/latex.php?latex=cm%5E3&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="cm^3" title="cm^3" class="latex" /&gt;.&lt;/p&gt;&lt;p style="text-align: left;"&gt;&lt;span style="font-size:180%;"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;&lt;strong&gt;Review Questions - Vernier calipers.&lt;/strong&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt; &lt;p style="text-align: left;"&gt;During practical examinations  the examiner can shoot any question related to the experiment you are doing.Here I will try to answer few Frequently asked questions by   examiner.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;1Q: What is the advantage of vernier calipers over a regular  scale graduated in millimeters?&lt;/span&gt;&lt;/p&gt; &lt;p style="text-align: left;"&gt;Ans: We can measure up to a millimeter with regular scale which is graduated in millimeters, Where as  with a vernier calipers with 10 equal divisions on the vernier scale we can measure up to 1/10 (0.1) mm accurately.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;2Q:What is the principle of vernier ?&lt;/span&gt;&lt;/p&gt; &lt;p style="text-align: left;"&gt;Ans: (N-1) main scale divisions  = N divisions on vernier scale,&lt;/p&gt; &lt;p style="text-align: left;"&gt;(N-1) M.S.D = N V.S.D   is the principle of vernier.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;3Q:What do you mean by least count of vernier calipers?&lt;/span&gt;&lt;/p&gt; &lt;p style="text-align: left;"&gt;Ans: The difference  of 1 M.S.D  and 1 V.S.D is called least count of a vernier calipers. (or) The minimum&lt;/p&gt; &lt;p style="text-align: left;"&gt;length which can be measured by a vernier calipers is called its least count.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;4Q:What is the use of lower jaws of a vernier calipers?&lt;/span&gt;&lt;/p&gt; &lt;p style="text-align: left;"&gt;Ans: The lower jaws or used to measure the  thickness of object,outer diameters of tubes,spheres   and  cylinders.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;5Q:What is the use of upper jaws?&lt;/span&gt;&lt;/p&gt; &lt;p style="text-align: left;"&gt;Ans: The upper jaws of the vernier calipers are used to measure the inner diameters of rings,tubes and inner diameters of hallow cyliders , hallow spheres.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;6Q:What is the use of the thin strip moving behind the main scale?&lt;/span&gt;&lt;/p&gt; &lt;p style="text-align: left;"&gt;Ans: The strip is used to measure  the depths of the tubes and level of the liquid inside tubes or jars.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;7Q:Two different vernier calipers  have different number of equal divisions on their vernier scales i) 10 equal divisions ii) 50 equal divisions . Which can measure more accurately.&lt;/span&gt;&lt;/p&gt; &lt;p style="text-align: left;"&gt;Ans: The least count of the I vernier calipers  = S/N = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B1mm%7D%7B10%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{1mm}{10}" title="\frac{1mm}{10}" class="latex" /&gt; =0.1mm&lt;/p&gt; &lt;p style="text-align: left;"&gt;The least count of the II vernier calipers  = S/N = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B1mm%7D%7B50%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{1mm}{50}" title="\frac{1mm}{50}" class="latex" /&gt; =0.02mm.&lt;/p&gt; &lt;p style="text-align: left;"&gt;That is the II vernier calipers with 0.02mm of L.C can measure up to 0.02mm accurately.Hence the accuracy of II vernier calipers in more than I vernier calipers.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;8Q:What is the ZERO error of a vernier calipers?&lt;/span&gt;&lt;/p&gt; &lt;p style="text-align: left;"&gt;Ans:When two lower jaws of the vernier calipers are in contact, if the zero division of main scale does not coincide with the zeroth division of vernier scale, such vernier calipers will have zero error.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;9Q: What is the formula of least count?&lt;/span&gt;&lt;/p&gt; &lt;p style="text-align: left;"&gt;Ans: Least count L.C = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7BS%7D%7BN%7D&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{S}{N}" title="\frac{S}{N}" class="latex" /&gt;.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;10Q:What is the formula to calculate the volume of the cylinder?&lt;/span&gt;&lt;/p&gt; &lt;p style="text-align: left;"&gt;Ans: Volume of the cylinder V = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cpi+r%5E2+l&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\pi r^2 l" title="\pi r^2 l" class="latex" /&gt;. , where r = radius of the cylinder and &lt;em&gt;l = &lt;/em&gt;length  of the cylinder.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;&lt;em&gt;11Q:&lt;/em&gt;What is the formula to calculate the volume of a Sphere?&lt;/span&gt;&lt;/p&gt; &lt;p style="text-align: left;"&gt;Ans: Volume of the Sphere V = &lt;img src="http://l.wordpress.com/latex.php?latex=%5Cfrac%7B4%7D%7B3%7D+%5Cpi+r%5E3+&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="\frac{4}{3} \pi r^3 " title="\frac{4}{3} \pi r^3 " class="latex" /&gt;, where r = radius of  the sphere.&lt;/p&gt; &lt;p style="text-align: left;"&gt;&lt;span style="color: rgb(255, 0, 0);"&gt;12Q:What is the formula to calculate total reading with a vernier calipers?&lt;/span&gt;&lt;/p&gt; &lt;p style="text-align: left;"&gt;Ans: Total reading = M.S.R + &lt;img src="http://l.wordpress.com/latex.php?latex=n%5Ctimes+L.C&amp;amp;bg=ffffff&amp;amp;fg=000000&amp;amp;s=0" alt="n\times L.C" title="n\times L.C" class="latex" /&gt;.&lt;/p&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/7972338390481108463-876933736335753452?l=gyanraj.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://gyanraj.blogspot.com/feeds/876933736335753452/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://gyanraj.blogspot.com/2009_01_01_archive.html#876933736335753452#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7972338390481108463/posts/default/876933736335753452'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7972338390481108463/posts/default/876933736335753452'/><link rel='alternate' type='text/html' href='http://gyanraj.blogspot.com/2009_01_01_archive.html#876933736335753452' title='Experiment :Vernier Calipers.'/><author><name>chavan gyanraj</name><uri>http://www.blogger.com/profile/02460504823573498104</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='31' height='32' src='http://1.bp.blogspot.com/_vqDIAUuYyxg/SV9M8exWCkI/AAAAAAAAACs/pvOlQ950TkE/S220/cgr6.jpg'/></author><media:thumbnail xmlns:media='http://search.yahoo.com/mrss/' url='http://2.bp.blogspot.com/_vqDIAUuYyxg/SYNAMDx44QI/AAAAAAAAAFU/T1M14H7h6TQ/s72-c/Vernier+Calipers.png' height='72' width='72'/><thr:total>0</thr:total></entry></feed>
