In the formula `X = 3Y Z^(2)` , `X` and `Z` have dimensions of capacitance and magnetic induction respectively . When are the dimensions of Y in MLTQ system ?

Options

A. `[M^(-3)L^(-2)T^(-2)Q^(-4)]`
B. `[ML^(-2)]`
C. `[M^(-3)L^(-2)Q^(4)T^(8)]`
D. `[M^(-3)L^(-2)Q^(4)T^(4)]`

Answer

D

Explanation

`[Y]=([X])/([Z^(2)])=(M^(-1)L^(-2)T^(4)A^(2))/(M^(2)T^(-4)A^(-2))=M^(-3)L^(-2)Q^(4)T^(4)`