Question

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

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

Answer 1

Answer: (B)

Refractive index of a medium, $\mu =\frac{c}{v}$
Here, $c=\frac{1}{{\mu }_0{\epsilon }_0}$
and $v=\frac{1}{\sqrt{\mu }\epsilon }$
$\therefore \mu =\sqrt{\frac{\mu \epsilon }{{\mu }_0{\epsilon }_0}}$