Geometrical OpticsHard

Question

In the given figure ABC is a right angled isosceles prism kept in air. A ray of light is incident normally as shown. Refractive index of prism is varying with time t as μ = (1 + 0.4t), here t is in seconds. The angular velocity of the emergent ray at t = 1 second is -
         

Options

A.1.2 rad/second
B.1 rad/second
C.2 rad/second
D.1.5 rad/second

Solution

          
μ sin 45o = 1 sin θ ⇒ cos θ ⇒ sec θ
Here cos θ =    (at t= 1)
⇒ = 2 rad/second

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