Optics 4 Question 23

24. A ray of light is incident at an angle of 60 on one face of a prism which has an angle of 30. The ray emerging out of the prism makes an angle of 30 with the incident ray. Show that the emergent ray is perpendicular to the face through which it emerges and calculate the refractive index of the material of the lens.

(1978)

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Solution:

  1. Given i1=60,A=30,δ=30

From the relation

δ=(i1+i2)A we have, i2=0

i.e. the ray is perpendicular to the face from which it emerges.

 Further, i2=0r2=0r1+r2=Ar1=A=30μ=sini1sinr1=sin60sin30=3



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