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A parallel beam of light is incident from air at an angle α on the side PQ of a right angled triangular prism of refractive index n = 2 . Light undergoes total internal reflection in the prism at the face PR when α has a minimum value of 45 o . The angle θ of the prism is:

Options

  1. A15 o
  2. B22.5 o
  3. C30 o
  4. D45 o

Correct answer

A. 15 o

Step-by-step solution

1 sin ⁡ 45 o = 2 sin ⁡ r 1 r 2 - r 1 = θ θ = 45 o - 30 o ⇒     θ = 15 o

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