If M, L, T and I stand for Mass, Length, Time and electric current respectively, the dimensional formula for Capacitance is

Options

A. `[M^(-1)L^(2)T^(-4)I^(2)]`
B. `[M^(-1)L^(-2)T^(4)I^(2)]`
C. `[ML^(2)T^(4)I^(2)]`
D. `[ML^(2)T^(-4)I^(-2)]`

Answer

B

Explanation

The expressions for capacitance is, `C = q/V`
`implies q/V = q/w/q = q^(2)/w = I^(2)T^(2)/ML^(2)T^(-2) = M^(-1)L^(-2)T^(4)I^(2)`