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JEE MainPhysicsRay Optics

A ray of light undergoes minimum deviation through a prism of refracting angle A . If the angle of minimum deviation is equal to the refracting angle of the prism, the refractive index of the material of the prism is

Options

  1. A( A 2 )
  2. B2 ( A 2 )
  3. C( A 2 )
  4. D2 ( A 2 )

Correct answer

D. 2 ( A 2 )

Step-by-step solution

The refractive index of a prism is given by the formula: = ( A + _m 2 ) ( A 2 ) Given that the angle of minimum deviation _m = A , we substitute this into the formula: = ( A + A 2 ) ( A 2 ) = A ( A 2 ) Using the double angle identity A = 2 ( A 2 ) ( A 2 ) , we get: = 2 ( A 2 ) ( A 2 ) ( A 2 ) = 2 ( A 2 ) Answer: 2 ( A 2 )

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