JEE Main202427 Jan 2024Morning ShiftPhysicsRay OpticsActual
If the refractive index of the material of a prism is cot A 2 , where A is the angle of prism then the angle of minimum deviation will be
Options
- Aπ - 2 A
- Bπ 2 - 2 A
- Cπ - A
- Dπ 2 - A
Correct answer
A. π - 2 A
Step-by-step solution
The formula to calculate the refractive index μ of the material of the prism is given by μ = sin A + δ m 2 sin A 2 . . . 1 From equation (1), it follows that cot A 2 = sin A + δ m 2 sin A 2 ⇒ cos A 2 = sin A + δ m 2 ⇒ sin π 2 - A 2 = sin A + δ m 2 ⇒ A + δ m 2 = π 2 - A 2 ⇒ δ m = π - 2 A