A light ray enters a solid glass sphere of refractive index μ = 3 at an angle of incidence 60 ° . The ray is both reflected and refracted at the farther surface of the sphere. The angle (in degrees) between the reflected and refracted rays at this surface is _____________.

Step-by-step solution

Apply Snell's law at S_ 1 sin   60 ° = 3 sin   r sin   r = 1 2 r = 30 ° from geometry r ' = 30 ° Again apply snell's law on S 2 3 sinr ' = 1 sine 3 2 = sine ∴ e = 60 ° from geometry r ' + θ + e = 180 ° θ = 90 °