Which one of the following is dimensionally incorrect ?

Options

A. Capcitance `C=[M^(-1)L^(-2)T^(4)A^(2)]`
B. Maagnetic field inducation `B=[ML^(0)T^(-2)A^(-1)]`
C. Coefficient of self - induction `L=[ML^(2)T^(-2)A^(-1)]`
D. Specific resistance `P=[ML^(3)T^(-3)A^(-2)]`

Answer

C

Explanation

Here `C=(q^(2))/("work")=M^(-1)L^(-2)T^(4)A^(2)`
`B=(F)/(q.v)=ML^(0)T^(-2)A^(-2)`
`L=(epsilon)/(di//dt)=(Wt)/(qI)=ML^(2)T^(-2)A^(-2)( :.q=It)`
`rho=(R.a)/(e)=ML^(3)T^(-3)A^(-2)`
`:.L`is wrongly represented. `(c )` is correct choice.
Hence correct choice is `(c )`.