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Question: Answered & Verified by Expert
$\varepsilon_0$ and $\mu_0$ are the electric permittivity and magnetic permeability of free space respectively. If the corresponding quantities of a medium are $2 \varepsilon_0$ and $1.5 \mu_0$ respectively, the refractive index of the medium will nearly be
PhysicsRay OpticsNEETNEET 2023 (Manipur)
Options:
  • A $3$
  • B $2$
  • C $\sqrt{2}$
  • D $\sqrt{3}$
Solution:
2649 Upvotes Verified Answer
The correct answer is: $\sqrt{3}$
We know
$\begin{aligned} & \text { Refractive index }=\frac{\sqrt{\mu \varepsilon}}{\sqrt{\mu_0 \varepsilon_0}} \\ & =\frac{\sqrt{(1.5) \mu_0(2) \varepsilon_0}}{\sqrt{\mu_0 \varepsilon_0}} \\ & =\sqrt{3}\end{aligned}$

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