If $ϵ_{0} and μ_{0}$ are respectively, the electric permitivity and the magnetic permeability of free space $\in and μ$ the corresponding quantities in a medium, then the refractive index of the medium is

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$\frac{\sqrt{μ_{0} \in_{0}}}{μ \in}$

$\frac{\sqrt{μ \in}}{μ_{0} \in_{0}}$

$\sqrt{\frac{μ \in}{μ_{0} \in_{0}}}$

$\frac{\sqrt{μ μ_{0}}}{\in ϵ_{0}}$

answer is B.

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Detailed Solution

$for any medium μ = \frac{c}{v}, c = \frac{1}{\sqrt{μ_{0} ε_{0}}}, v = \frac{1}{\sqrt{με}} \Rightarrow μ = \sqrt{\frac{με}{μ_{0} ε_{0}}}$

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