Question

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

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

Answer 1

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

Refractive index $=\frac{c_0}{c}=\frac{\frac{1}{\sqrt{{\mu }_0{ϵ}_0}}}{\frac{1}{{\mu }_0{ϵ}_0}}$


$=\sqrt{\frac{\mu ϵ}{{\mu }_0{ϵ}_0}}$