The refracting angle of a prism is A and refractive index of the material of the prism is cot A 2 . Then the angle of minimum deviation will be

Step-by-step solution

As we know, angle of minimum deviation is given by, ⇒ μ = sin δ m + A 2 sin A 2 ⇒ cot A 2 = sin δ m + A 2 sin A 2 ⇒ cos A 2 sin A 2 = sin δ m + A 2 sin A 2 ⇒ sin 90 ° - A 2 = sin δ m + A 2 Therefore, 90 ° - A 2 = δ m + A 2 ⇒ δ m = 180 ° - 2 A