A monochromatic ray of light passes through a transparent prism of refractive index 3 . It is observed that the ray suffers minimum deviation when the angle of incidence is 60^ . The refracting angle of the prism (in degrees) is ______.

Step-by-step solution

At the position of minimum deviation, the angle of incidence i is related to the prism angle A and refractive index by the formula: = i ( A 2 ) Given that = 3 and i = 60^ : 3 = 60^ ( A 2 ) 3 = 3 2 ( A 2 ) ( A 2 ) = 1 2 A 2 = 30^ A = 60^ Answer: 60