A ray of light is incident at a grazing angle (angle of incidence 90^ ) on one face of a glass prism. The refracting angle of the prism is 75^ and the refractive index of the glass is 2 . What is the angle of emergence of the ray from the second face of the prism?

Step-by-step solution

At the first face, applying Snell's law for grazing incidence ( i = 90^ ): 1 (90^ ) = (r₁) 1 = 2 (r₁) (r₁) = 1 2 r₁ = 45^ Using the prism relation for the refracting angle, r₁ + r₂ = A : 45^ + r₂ = 75^ r₂ = 30^ At the second face, applying Snell's law to find the angle of emergence e : (r₂) = 1 (e) 2 (30^ ) = (e) 2 1 2 = (e) (e) = 1 2 Therefore, the angle of emergence is e = 45^ . Answer: 45^