Question

If ${\mu }_r$ be the relative permeability and ${\epsilon }_r$ be the relative dielectric constant of a medium, its refractive index is:

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

Answer 1

The correct option is C $\sqrt{{\mu }_r{ϵ}_r}$

Refractive index is equal to the root of the product of the relative permeability and relative dielectric constant.
Hence, Refractive index $=\sqrt{{\mu }_r{ϵ}_r}$.