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An unpolarised light is incident at an interface of two dielectric media having refractive indices of 2 (incident medium) and 2 3 (medium) respectively. To satisfy the condition that reflected and refracted rays are perpendicular to each other, the angle of incidence is _ _ _ _ .

Options

  1. A45^
  2. B60^
  3. C10^
  4. D30^

Correct answer

B. 60^

Step-by-step solution

For reflected and refracted rays to be perpendicular, if i is the angle of incidence and r is the angle of refraction, then i + r = 90° , giving r = 90° - i . Applying Snell's law: n₁ i = n₂ r 2 i = 2 3 (90° - i) 2 i = 2 3 i i = 3 i = 60°

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