If `mu_0` be the permeability and `k_0` , the dielectric constant of a medium, its refractive index is given by

Options

A. `1/(sqrt(mu_0k_0))`
B. `1/(mu_0k_0)`
C. `sqrt(mu_0k_0)`
D. `mu_0k_0`

Answer

c

Explanation

Refractive index of medium is
`mu=c/v, where c=1/(sqrt(mu_0k_0))`
and `v=1/(sqrt(mu_0k_0mu_rk_r))`
`:. mu=(1//sqrt(mu_0k_0))/(1//sqrt(mu_0k_0mu_rk_r))=sqrt(mu_rk_r)`
Given `mu_r=mu_0 and k_r=k_0`
then `mu=sqrt(mu_0k_0)`