and are the electric permittivity and magnetic permeability of free space respectively. If the corresponding quantities of a medium are and respectively, the refractive index of the medium will nearly be [2023]

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Solution

Q.
$ε_{0}$ and $μ_{0}$ are the electric permittivity and magnetic permeability of free space respectively. If the corresponding quantities of a medium are $2 ε_{0}$ and $1.5 μ_{0}$ respectively, the refractive index of the medium will nearly be [2023]

1 $\sqrt{2}$

2 $\sqrt{3}$

3 3

4 2

Ans.
(2)

$μ = \frac{c}{v} = \frac{\frac{1}{\sqrt{μ_{0} ε_{0}}}}{\frac{1}{\sqrt{1.5 μ_{0} \times 2 ε_{0}}}} = \sqrt{3}$

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