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Convert the unit of work done from MKS system to CGS system (i.e. joule ) |
Answer» <html><body><p></p>Solution :Dimensional formula of energy is `M^(1) L^(2) T^(2)`. <br/> Let `IJ = n "ergs" <a href="https://interviewquestions.tuteehub.com/tag/rarr-1175461" style="font-weight:bold;" target="_blank" title="Click to know more about RARR">RARR</a> n = J// "ergs"` <br/> `<a href="https://interviewquestions.tuteehub.com/tag/therefore-706901" style="font-weight:bold;" target="_blank" title="Click to know more about THEREFORE">THEREFORE</a> n_(2) = n_(1) [(M_1)/(M_2) ]^(1) [(L_1)/(L_2) ]^(2) [(T_1)/(T_2)]^(-2)` <br/> `rArr n = [ (1kg)/(1g) ] [(1 m)/( 1cm)]^(-2) [ (1s)/( 1s) ]^(-2) ((n_2)/(n_1) = n)` <br/> `rArr n= [ (1000g)/( 1g) ] [ (<a href="https://interviewquestions.tuteehub.com/tag/100-263808" style="font-weight:bold;" target="_blank" title="Click to know more about 100">100</a> cm)/( 1cm ) ]^(2) [(1s)/( 1s) ]^(-2) ` <br/> `rArr n= [<a href="https://interviewquestions.tuteehub.com/tag/1000-265236" style="font-weight:bold;" target="_blank" title="Click to know more about 1000">1000</a>] xx [ 100]^(2) xx [1]^(2) = 10^(7)` <br/> `therefore 1 "joule" = 10^(7) "ergs"`</body></html> | |