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Convert the unit of work done from MKS system to CGS system (i.e. joule ) |
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Answer» Solution :Dimensional formula of energy is `M^(1) L^(2) T^(2)`. Let `IJ = n "ergs" RARR n = J// "ergs"` `THEREFORE n_(2) = n_(1) [(M_1)/(M_2) ]^(1) [(L_1)/(L_2) ]^(2) [(T_1)/(T_2)]^(-2)` `rArr n = [ (1kg)/(1g) ] [(1 m)/( 1cm)]^(-2) [ (1s)/( 1s) ]^(-2) ((n_2)/(n_1) = n)` `rArr n= [ (1000g)/( 1g) ] [ (100 cm)/( 1cm ) ]^(2) [(1s)/( 1s) ]^(-2) ` `rArr n= [1000] xx [ 100]^(2) xx [1]^(2) = 10^(7)` `therefore 1 "joule" = 10^(7) "ergs"` |
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