Question

If ${\epsilon }_0\text{and}{\mu }_0$ represent the permittivity and permeability of vacuum and $\epsilon \text{and}\mu$ represent the permittivity and permeability of medium, the 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. $\sqrt{\frac{\epsilon }{{\mu }_0{\epsilon }_0}}$
• D. $\sqrt{\frac{{\mu }_0{\epsilon }_0}{\epsilon }}$

Answer 1

The correct option is B

$\sqrt{\frac{\epsilon \mu }{{\epsilon }_0{\mu }_0}}$

$\mu =\frac{c}{c}=\frac{1}{\sqrt{{\mu }_0{\epsilon }_0}}\times \frac{\sqrt{\mu \epsilon }}{1}=\sqrt{\frac{\mu \epsilon }{{\mu }_0{\epsilon }_0}}$