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Wave Optics

Question
CBSEENPH12039865

A ray of light is incident at an angle of incidence, i, on one face of the prism of angle A (assumed to be small) and emerges normally from the opposite face. If the refractive index of the prism is u, the angle of incidence i, is nearly equal to

  • straight mu space straight A
  • fraction numerator straight mu space straight A over denominator 2 end fraction
  • straight A over straight mu
  • fraction numerator straight A over denominator 2 straight mu end fraction

Solution

A.

straight mu space straight A
Refractive space index
straight mu space equals space fraction numerator sin space straight i over denominator sin space straight r end fraction
straight mu space equals space fraction numerator sin space straight i over denominator sin space straight A end fraction
In space case space of space small space angle
straight mu space equals straight i over straight A
space straight i space equals μA

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