The ray comes out through face AD
The ray gets totally internally reflected at face CD
The angle between the incident ray and the emergent ray is 120°
The angle between the incident ray and the emergent ray is 90°
Using Snell's law at surface AB:
sin i / sin r = μ
sin 60° / sin r = √3
sin r = sin 60° / √3 = (√3/2) / √3 = 1/2
r = 30°
Angle of prism A = 60°
Angle of refraction at AB = 30°
Angle of incidence at AD = 60° - 30° = 30°
Angle of refraction at AD = 60°
The ray comes out through face AD.
At surface AC:
Angle of incidence = 30°
Critical angle = sin⁻¹(1/√3) ≈ 35.26°
Since the angle of incidence (30°) is less than the critical angle, total internal reflection does not occur.
Angle between incident ray and emergent ray = 180° - 60° = 120°