The dimensional formula of `1/2mu_(0)H^(2) (mu_(0)` = permeability of free space and H = magnetic field intensity) is

Options

A. `[MLT^(-1)]`
B. `[ML^(2)T^(-2)]`
C. `[ML^(-1)T^(-2)]`
D. `[ML^(2)T^(-1)]`

Answer

C

Explanation

Dimensional formulae are `mu_(0) = [MLT^(-2)I^(-2)] and H = [IL^(-1)]`
On substituing the above formulae in given equation = `1/2 [MLT^(-2)I^(-2)][IL^(-1)]^(2) = [ML^(-1)T^(-2)]`