+91-8076753736[email protected]
logo
logo
-->

Units And Measurement

Question
CBSEENPH11016525
Wired Faculty App

What are the dimensions of Vander Waal’s constant? 

Solution
 Vander Waal's gas equation is
space space space space space space space open square brackets straight P plus straight a over straight v squared close square brackets open parentheses straight v minus straight b close parentheses equals nRT
Now, according go to the principle of homogeneity of  dimensions, straight P space and space straight a over straight r squared have same dimensions.
space space therefore    <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>
   rightwards double arrow  a = PV2 
This dimesnsional formula of a is 
space space straight a space equals space open square brackets straight M to the power of 1 straight L to the power of negative 1 end exponent straight T to the power of negative 2 end exponent close square brackets open square brackets straight M to the power of 0 straight L to the power of 6 straight T to the power of 0 close square brackets equals open square brackets bold M to the power of bold 1 bold L to the power of bold 5 bold T to the power of bold minus bold 2 end exponent close square brackets
Similarly b = v
Therefore dimensional formula of b is, 
straight b space equals space open square brackets bold M to the power of bold 0 bold L to the power of bold 3 bold T to the power of bold 0 close square brackets  

Some More Questions From Units and Measurement Chapter

What are the two main required characteristics of a unit?

Can we use same units for different physical quantities?

Can we use different units to measure same physical quantity?

To measure a physical quantity X, the unit U is repeatedly used for n times. What is the magnitude of physical quantity?

Does the numerical factor in the quantitative measurement depend on the system of unit used?

Is one unit sufficient to measure a physical quantity?

Can a physical quantity have two or more units? Give example.

What are fundamental quantities?

Mock Test Series

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation