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

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

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

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

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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