In the formula `X = 3YZ^(2),X and Z` have dimensions of capacitance and magnetic induction respectively. The dimensions of `Y` in MKSQ system are ………………, ………………….

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)" "(because A = (Q)/(T))`