Question

If ${\epsilon }_0$ and ${\mu }_0$ are respectively, the electric permittivity and the magnetic permiability of free space, $\epsilon$ and $\mu$ the corresponding quantities in a medium, then refractive index of the medium is

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

Answer 1

Answer: (A)

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

As we know,

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