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TS EAMCET · Physics · Ray Optics

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.

  1. A \(15^{\circ}\)
  2. B \(30^{\circ}\)
  3. C \(45^{\circ}\)
  4. D \(60^{\circ}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(60^{\circ}\)

Step-by-step Solution

Detailed explanation

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