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    Units and Measurement
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    Two gold pieces weigh 20.15 g and 20.17 g. What is the difference in the masses of the pieces to correct significant figures?
    Mass of first gold piece = 20.17 g
    Mass of second gold piece = 20.15 g

    Difference in the masses of two pieces is,

                     Δm space equals space open parentheses 20.17 minus 20.15 close parentheses straight g equals 0.02 straight g 

    Here, masses of pieces are known upto second decimal place.

    Difference is also upto second decimal place.

    Hence the difference in the masses is 0.02g.      
     
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    What is the formula to find out the radius of curvature of a spherical surface?

    Radius of curvature of a spherical surface is given by, 

                                straight R space equals space fraction numerator straight l squared over denominator 6 straight h end fraction plus straight h over 2 

    where,

    l is average distance between the three fixed legs of spherometer, and 

    h is the height of the central screw above the plane surface. 

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    What is the least count of a screw gauge, whose circular scale is divided into 100 equal parts and the pitch of the screw is 1 mm?
    Number of divisions on circular scale, N = 100
    Pitch of screw gauge is, d = 1 mm

    space space therefore Least count = straight d over straight N 

                            equals fraction numerator 1 mm over denominator 100 end fraction equals 0.01 space mm 

                            equals space fraction numerator 1 space mm over denominator 100 end fraction equals 0.01 mm
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    Define the least count of screw gauge.
    Least count of screw gauge is the distance by which the screw advances when it is rotated by one division on the circular scale.

    Mathematically, it is given by

    Least count =  fraction numerator Pitch over denominator No. space of space div. space on space circular space scale end fraction
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    The least count of a stopwatch is 0.2 sec. The time period of 20 oscillations of a pendulum is measured to be 25.0 sec. What is the percentage error in this measurement?

    The least count of stopwatch is = 0.2 s

    Time period of 20 oscillations = <pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre>

    Percentage error in measurement = <pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre>

                                                       = 0.8%
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