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Ray Optics: Prism — Refraction MCQ

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Prism — RefractionMediumQuestion 20217

Question

For a prism with apex angle A and minimum deviation D_m, the refractive index is:
  1. A
    sin(A/2)/sin((A+D_m)/2)
  2. B
    sin((A+D_m)/2)/sin(A/2)
    Correct
  3. C
    sin(A)/sin(D_m)
  4. D
    n = (A+D_m)/A

Correct answer

sin((A+D_m)/2)/sin(A/2)

Explanation

At minimum deviation (symmetric passage through prism): n = sin[(A+D_m)/2] / sin(A/2). This is the standard prism formula derived from Snell's law applied twice.

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