JEE Main202226 Jul 2022Evening ShiftPhysicsRay OpticsActual
Light travels in two media M 1 and M 2 with speeds 1 . 5 × 10 8 m s - 1 and 2 . 0 × 10 8 m s - 1 respectively. The critical angle between them is
Options
- Atan - 1 3 7
- Btan - 1 2 3
- Ccos - 1 3 4
- Dsin - 1 2 3
Correct answer
A. tan - 1 3 7
Step-by-step solution
Relative refractive index can be found as, μ 2 μ 1 = v 1 v 2 = 1 . 5 2 = 3 4 . When the angle of incident is greater than the critical angle total internal reflection occurs. If the critical angle is i c then, sin i c = μ 2 μ 1 = 3 4 Now tan i c = 3 4 2 - 3 2 = 3 7 Therefore, i c = tan - 1 3 7