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A prism of angle A produces an angle of minimum deviation equal to 2 - A . The refractive index of the material of the prism is

Options

  1. A2 ( A 2 )
  2. B1 2 ( A 2 )
  3. C1 2 ( A 2 )
  4. D2 ( A 2 )

Correct answer

C. 1 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 is _m = 2 - A , we substitute this into the formula: = ( A + 2 - A 2 ) ( A 2 ) = ( 4 ) ( A 2 ) Since ( 4 ) = 1 2 , we get: = 1 2 ( A 2 ) = 1 2 ( A 2 ) Answer: 1 2 ( A 2 )

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