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TS EAMCET · Physics · Ray Optics

A prism is made up of material of refractive index \(\sqrt{3}\). The angle of the prism is \(Å\). If the angle of minimum deviation is equal to the angle of the prism, then the value of \(A\) is:

  1. A \(30^{\circ}\)
  2. B \(45^{\circ}\)
  3. C \(60^{\circ}\)
  4. D \(75^{\circ}\)
Verified Solution

Answer & Solution

Correct Answer

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

Step-by-step Solution

Detailed explanation

\begin{aligned} & \mu=\sqrt{3}, \delta_m=A \\ & \text { For prism } \mu=\frac{\sin \frac{A+\delta_m}{2}}{\sin \frac{A}{2}} \\ & \sqrt{3}=\frac{\sin \frac{A+A}{2}}{\sin \frac{A}{2}} \\ & \sqrt{3}=\frac{\sin A}{\sin \frac{A}{2}} \Rightarrow \sqrt{3}=\frac{2 \sin \frac{A}{2} \cos…

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