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MHT CET20239 May 2023Morning ShiftPhysicsWave OpticsActual

The angle of prism is A and one of its refracting surface is silvered. Light rays falling at an angle of incidence ' 2 ~A ' on the first surface return back through the same path after suffering reflection at the silvered surface. The refractive index of the material of the prism is

Options

  1. A2 ( A 2 )
  2. B2 tan A
  3. C2 cos A
  4. D2 sin A

Correct answer

C. 2 cos A

Step-by-step solution

Given: Angle of Prism = A , I =2 ~A As DE is falling normally on the silvered side AC , aligned & r =90-(90- A ) & r = A aligned Using Snell's law, i r = 2 ~A A = 2 A A A =2 A

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