Obtain the relation between the MKS and CGS unit of work.

Explanation

The unit of work in MKS system is Joule and that in CGS system is erg.
The relation between Joule and erg can be obtained as follows.
Dimensional formula for work, `W=M^(1)L^(2)T^(-2)`
in MKS syste = in CGS system
`m(kg)=10^(3)m(gm)`
`L(m)=10^(2) L (cm)`
`T(s)=10^(0)T(s)`
`L^(1)L^(2)T^(-2)=(10^(3)M^(1))(10^(2)L)^(2)(10^(0)T)^(-2)`
`=10^()xx10^(4)M^(1)L^(-2)T^(-2)`
`=10^(7)M^(1)L^(2)T^(-2)`
So, MKS unit of work =`10^(7)` CGS unit of work
`:. 1J=10^(7)` erg