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

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$\sqrt {\frac{{\mu \varepsilon }}{{{\mu _o}{\varepsilon _o}}}}$

$\frac{{\sqrt {\mu \varepsilon } }}{{{\mu _o}{\varepsilon _o}}}$

$\frac{{\sqrt {\mu {\mu _o}} }}{{\varepsilon {\varepsilon _o}}}$

$\frac{{\sqrt {{\mu _o}{\varepsilon _o}} }}{{\mu \varepsilon }}$

answer is B.

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Detailed Solution

speed of light in a medium = $\frac{1}{{\sqrt{μ_{m} ε}}_{m}}$

Refractive index = $\frac{C}{V}$

Refractive index

\large = \,\sqrt {\frac{{{\mu _m}{\varepsilon _m}}}{{{\mu _o}{\varepsilon _o}}}}

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