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A ray of light passing through a prism ( μ = 3 ) suffers minimum deviation. It is found that the angle of incidence is double the angle of refraction within the prism. Then, the angle of prism is                 (in degrees).

Correct answer

60

Step-by-step solution

At minimum deviation, r 1 = r 2 = A 2 Also given i = 2 r 1 = A Now 1 · sin i = 3 sin r 1 1 sin A = 3 sin A 2 ⇒   2 sin A 2 cos A 2 = 3 sin A 2 ⇒ cos A 2 = 3 2 ⇒ A 2 = 30 ° ⇒ A = 60 °

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