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Ray Optics and Optical Instruments · Class 12 · CBSE · Science Physics

A ray of light is incident at an angle of incidence i on one face of a prism of small refracting angle A and refractive index mu. The deviation delta…

Practice question from Ray Optics and Optical Instruments (Class 12 · CBSE · Science Physics), with the correct answer and a step-by-step solution.

medium · MCQ · Q-1C0389

A ray of light is incident at an angle of incidence ii on one face of a prism of small refracting angle AA and refractive index μ\mu. The deviation δ\delta produced by the prism is independent of ii and is given by:

  1. A.(\mu - 1)ACorrect answer
  2. B.(\mu + 1)A
  3. C.(\mu - 1)/A
  4. D.\mu A

Solution

For a small angle prism, the angle of deviation is given by δ=(i1+i2)−A\delta = (i_1 + i_2) - A. Since i1=ei_1 = e and Snell's law implies i1=μr1i_1 = \mu r_1 and i2=μr2i_2 = \mu r_2, we substitute r1+r2=Ar_1 + r_2 = A to get δ=(μ−1)A\delta = (\mu - 1)A, which is independent of the angle of incidence.

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