If C be the capacitance and V be the electric potential, then the dimensional formula of `CV^(2)` is

Options

A. `[M^(1)L^(2)T^(-2)A^(0)]`
B. `[M^(1)L^(1)T^(-2)A^(-2)]`
C. `[M^(0)L^(1)T^(-2)A^(0)]`
D. `[M^(1)L^(-3)T^(1)A^(-1)]`

Answer

A

Explanation

Energy stored in a capacitor is `U= (1)/(2)CV^(2)`
`:. [CV^(2)]= [U]= [M^(1)L^(2)T^(-2)A^(0)]`