Question

If $ {\varepsilon}_0 $ and $ {\mu}_0 $ are the electric permittivity and magnetic permeability in a free space, $ \varepsilon $ and $\mu $ are the corresponding quantities in medium, the index and refraction of the medium is

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

Answer 1

Answer: (B)

$c=\frac{1}{\sqrt{\mu_{0} \varepsilon_{0}}}$ (free space)
$v=\frac{1}{\sqrt{\mu \varepsilon}}$ (medium)
$\therefore \mu=\frac{c}{v}=\sqrt{\frac{\mu \varepsilon}{\mu_{0} \varepsilon_{0}}}$