Question

If $\varepsilon_{0}$ and $\mu_{0}$ represent the permittivity and permeability of vaccum and $\varepsilon$ and $\mu$ represent the permittivity and permeability of medium, then refractive index of the medium is given by

• A. $\sqrt{\frac{\varepsilon_{0}\mu_{0}}{\varepsilon\mu}}$
• B. $\sqrt{\frac{\varepsilon\mu}{\varepsilon_{0}\mu_{0}}}$
• C. $\sqrt{\frac{\mu_{0}\varepsilon_{0}}{\varepsilon}}$
• D. $\sqrt{\frac{\mu_{0}\varepsilon_{0}}{\mu}}$

Answer 1

Answer: (B)

Refractive index of a medium, $\mu=\frac{c}{v}$
Here, $c=\frac{1}{\mu_{0} \varepsilon_{0}}$
and $v=\frac{1}{\sqrt{\mu} \varepsilon}$
$\therefore \mu=\sqrt{\frac{\mu \varepsilon}{\mu_{0} \varepsilon_{0}}}$