JEE Main202623 January 2026Evening ShiftPhysicsRay OpticsActual
A prism of angle 75^ and refractive index 3 is coated with thin film of refractive index 1.5 only at the back exit surface. To have total internal reflection at the back exit surface the incident angle must be _ _ _ _ ( 15^ =0.25 and 25^ =0.43 )
Options
- A15^
- B>25^
- Cbetween 15^ and 20^
- DBoth (1) & (3)
Correct answer
D. Both (1) & (3)
Step-by-step solution
r₁ + r₂ = 75^ For T I R at back surface 3 r₂ = 3 2 90^ r₂ 60^ r₁ 15^ 1 i = 3 15^ i = 1.73 0.25 i = 0.433 i = 25^ i < 25^