Q73 / 75 · JEE Main 2020 (02 Sep Shift 2) · Physics

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 _____________.

Correct answer: 90

Solution

Figure

Apply Snell's law at S_
1sin 60°=3sin r
sin r=12
r=30°
from geometry
r'=30°
Again apply snell's law on S2
3sinr'=1sine
32=sine
∴e=60°
from geometry
r'+θ+e=180°
θ=90°

Hence, the correct answer is 90.

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