The refracting angle of a prism is A and refractive index of the material of the prism

The refracting angle of a prism is A and refractive index of the material of the prism is cot (A/2). The angle of minimum deviation is

Options

(a) 180⁰-3 A
(b) 180⁰-2 A
(c) 90⁰- A
(d) 180⁰+2 A

Correct Answer:

180⁰-2 A

Explanation:

Refractive index, μ = sin (A+Dm / 2) / sin (A/2)

cot (A / 2) = sin (A+Dm / 2) / sin (A/2)

cos (A/2) / sin (A/2) = sin (A+Dm / 2) / sin (A/2)

sin [(π/2) – (A/2)] = sin [(A + Dm) / 2]

(π / 2) – (A / 2) = (A / 2) + (Dm / 2)

Dm = π – 2A

Angle of minimum deviation, Dm = 180° – 2A

admin:

Related Questions

  1. The range of voltmeter is 10V and its internal resistance is 50Ω.
  2. Lumen is the unit of
  3. If the sodium light in Young’s double slit experiment is replaced by red light
  4. A spherical shell of radius 10cm is carrying a charge q. If the electric potential
  5. Rutherford’s ∝ particle experiment showed that the atoms have