The refractive index and the permeability of a medium are respectively `1.5 and 5 times 10^-7 Hm^-1`. The relative permittivity of the medium is nearly

Options

A. 25
B. 15
C. 6
D. 10

Answer

D

Explanation

Given refractive index
n=1.5
Permeability `mu_0=5 times 10^-7 Hm^-1`
`n=sqrt(mu_re_r)`
`e_r=n^2/(mu_r)`
or `epsilon_r=(n^2 mu_0)/mu [ because mu_r=mu/mu_0]`
or `epsilon_r=((1.5)^2 times 4 pi times 10^-7)/(5 times 10^-7)`
or `epsilon_r=6`