A light ray is travelling from air to a liquid of refractive index 3 . If the incident beam is rotated at a rate of 3 rad / sec then the angular speed of refracted beam when angle of incidence is 6

Question

A light ray is travelling from air to a liquid of refractive index 3 ​ . If the incident beam is rotated at a rate of 3 rad / sec then the angular speed of refracted beam when angle of incidence is 6 0 ∘ is :-

TestHub · Accepted Answer

​ 1. sin i = μ . sin r ​ ​ ​ ​ ​ ​ ​ ​ i × sin 60 = 3 ​ sin r sin r = 2 1 ​ r = 30 sin i = μ sin r Differentiate with respect to time: cos i d t d i ​ = μ cos r d t d r ​ ⇒ d t d r ​ = μ cos r cos i ​ d t d i ​ Substitute values we get 1 rad / sec

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