Question

If ${ϵ}_{0}and{\mu }_0$ are the permittivity and permeability of free space and $ϵand\mu$ are the corresponding quantities for a medium, Then refractive index of the medium is

• A. $1$
• B. $\sqrt{\frac{{\mu }_0{ϵ}_0}{\mu ϵ}}$
• C. $Insufficientinformation$
• D. $\sqrt{\frac{\mu ϵ}{{\mu }_0{ϵ}_0}}$

Answer 1

The correct option is D

$\sqrt{\frac{\mu ϵ}{{\mu }_0{ϵ}_0}}$

$c=\frac{1}{\sqrt{{\mu }_0{ϵ}_0}}$ $v=\frac{1}{\sqrt{\mu ϵ}}$

$n=\frac{c}{v}=\sqrt{\frac{\mu ϵ}{{\mu }_0{ϵ}_0}}$