A prism is made up of material of refractive index 2 . The angle of the prism is A . If the angle of minimum deviation is equal to the angle of the prism, the value of A is

Step-by-step solution

∵   μ = sin ⁡ A + δ m 2 sin ⁡ A 2 Here, μ is refractive index δ m is minimum deviation angle, A is angle of prism. ∴       2 = sin ⁡ A + A 2 sin ⁡ A 2 ⇒       2 sin ⁡ A 2 = sin ⁡ A Hence, A = 90 °