Question

If ${ϵ}_0$ and ${\mu }_0$ represent the permittivity and permeability of vaccum and $ϵ$ and $\mu$ represent the permittivity and permeability of medium, then refractive index of the medium is given by

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

Answer 1

The correct option is B $\sqrt{\frac{ϵ\mu }{{ϵ}_0{\mu }_0}}$

Given,

${ϵ}_o=$ permittivity of free space and ${\mu }_o=$ permeablilty of vaccum and,

$ϵ=$ permittivity of material and $\mu =$permeability of meadium.

$\eta =$refractive index of the material.

So, The relation between permittivity, permability and the refractive index of the medium is,

Refractive index of a medium $\eta =\sqrt{\frac{\mu ϵ}{{\mu }_0{ϵ}_0}}$