1.

Convert the unit of work done from MKS system to CGS system u

Answer»

Solution :DIMENSIONAL formula of ENERGY is `M^(1)L^(2)T^(-2)` .
LET U = n ergs `implies n = J`/ergs
`:. n_(2)=n_(1)[(M_(1))/(M_(2))]^(1)[(L_(1))/(L_(2))]^(1)[(T_(1))/(T_(2))]^(-2)`
`implies n = [(1 kg)/(1g)][(1m)/(1 cm)]^(1)[(1s)/(1s)]^(-2)((n^(2))/(n_(1))=n)`
`impliesn=[(1000g)/(1g)][(100cm)/(1cm)]^(2)[(1s)/(1s)]^(-2)`
`implies n = [1000]xx[100]^(2)xx[1]^(2)=10^(7)`
`:. ` 1 JOULE `= 10^(7)` ergs


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