`mu_(0)` and `epsilon_(0)` denote the permeability and permittivity of free space, the dimensions of `mu_(0) epsilon_(0)` are

Options

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

Answer

B

Explanation

The speed of light in vaccum is given by
`c= (1)/(sqrt(mu_(0)epsilon_(0))` or `mu_(0)epsilon_(0)= (1)/(c^(2)) :. [mu_(0)epsilon_(0)] = (1)/([LT^(-1)]^(2))= [L^(-2)T^(2)]`