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A thin prism P ₁ with angle 4^ and made from glass of refractive index 1 54 is combined with another thin prism P ₂ made from glass of refractive index 1 72 to produce dispersion without deviation. The angle of prism for P ₂ is

Options

  1. A4^
  2. B5 33^
  3. C2 6^
  4. D3^

Correct answer

D. 3^

Step-by-step solution

For thin prism the angle of deviation = A ( n -1) ₁= ₂ for no deviation A₁ (n₁-1 )=A₂ (n₂-1 )4(1.54-1)= A ₂(1.72-1) 4 0.54= A ₂ 0.72 A ₂= 4 0.54 0.72 =3^

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