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Units And Measurement

Question
CBSEENPH11016571

In new system of units, the mass is measured in grams, length is measured in kilometers and time is measured in minutes. What is the value of 1W in new system of units?

Solution
Watt(W) is unit of power in SI system and dimensional formula of power is given by,
                         space open square brackets straight M to the power of 1 straight L squared straight T to the power of negative 3 end exponent close square brackets
In SI system, 
M1 = 1 kg, L1 = 1 m, T= 1s
In new system, 
M2 = 1 kg, L1 = 1 m, T= 1 min
We know, 
        straight n subscript 2 equals straight n subscript 1 space open parentheses straight M subscript 1 over straight M subscript 2 close parentheses to the power of straight a open parentheses straight L subscript 1 over straight L subscript 2 close parentheses to the power of b open parentheses straight T subscript 1 over straight T subscript 2 close parentheses to the power of straight c
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#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)
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#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>
          = 216 
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#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()
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#6 {main}</pre> 1W = 216 gm km/ min