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

Question

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).

TestHub · Accepted Answer

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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