A monochromatic light ray is incident at an angle of 60^ on one refracting face of a prism of refracting angle 30^ , as shown in the figure. The ray emerges normally from the opposite face. The refractive index of the material of the prism is :

Step-by-step solution

Given: Angle of incidence, i = 60^ Angle of prism, A = 30^ Since the ray emerges normally from the opposite face, the angle of emergence e = 0^ and the angle of incidence at the second face r₂ = 0^ . Using the relation for a prism, r₁ + r₂ = A , we get: r₁ + 0^ = 30^ r₁ = 30^ Applying Snell's law at the first refracting face: i = r₁ 60^ = 30^ 3 2 = 1 2 = 3 Answer: 3