Q138 / 200 · NEET 2023 (Manipur) · Physics

$\varepsilon_0$ 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

  • A
    $3$
  • B
    $2$
  • C
    $\sqrt{2}$
  • Correct answer
    D
    $\sqrt{3}$

Solution

We know $\begin{aligned} & \text { Refractive index }=\frac{\sqrt{\mu \varepsilon}}{\sqrt{\mu_0 \varepsilon_0}} \\ & =\frac{\sqrt{(1.5) \mu_0(2) \varepsilon_0}}{\sqrt{\mu_0 \varepsilon_0}} \\ & =\sqrt{3}\end{aligned}$

Hence, the correct answer is option: 'D'.

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