Q142 / 160 · TS EAMCET 2022 (19 Jul Shift 1) · Physics

A light ray travels from a medium with refractive index $\mathrm{n}_1$ to another medium of refractive index $\mathrm{n}_2$. If $\mathrm{n}_1=2$ and $\mathrm{n}_2=\sqrt{3}$, then find the critical angle.

  • A
    $15^{\circ}$
  • B
    $30^{\circ}$
  • C
    $45^{\circ}$
  • Correct answer
    D
    $60^{\circ}$

Solution

Critical angle is defined by $$ \begin{aligned} & \sin \theta_{\mathrm{c}}=\frac{\mathrm{n}_2}{\mathrm{n}_1} \\ & \sin \theta_{\mathrm{c}}=\frac{\sqrt{3}}{2} \\ & \sin \theta_{\mathrm{c}}=\sin 60^{\circ} \\ & \theta_{\mathrm{c}}=60^{\circ} \end{aligned} $$

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

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