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GUJCET · Physics · Ray Optics and Optical Instruments

Find the value of angle of emergence for a emergent ray from the prism in the figure given below.
(refractive index of material of prism is \(\sqrt{3}\) and refractive index of air is 1)
image

  1. A \(60^{\circ}\)
  2. B \(45^{\circ}\)
  3. C \(30^{\circ}\)
  4. D \(90^{\circ}\)
Verified Solution

Answer & Solution

Correct Answer

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

Step-by-step Solution

Detailed explanation

\(1 \cdot \sin 60^{\circ} = \sqrt{3} \sin r_1 \implies \sin r_1 = \frac{\sqrt{3}/2}{\sqrt{3}} = 1/2 \implies r_1 = 30^{\circ}\) \(A = r_1 + r_2 \implies 60^{\circ} = 30^{\circ} + r_2 \implies r_2 = 30^{\circ}\)