AP EAMCET · PHYSICS · Ray Optics
A prism is made up of material of refractive index \(\sqrt{3}\). The angle of the prism is \(Ã…\). If the angle of minimum deviation is equal to the angle of the prism, then the value of \(A\) is:
- A \(30^{\circ}\)
- B \(45^{\circ}\)
- C \(60^{\circ}\)
- D \(75^{\circ}\)
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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