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Question

A transparent solid cylindrical rod has a refractive index of 23. It is surrounded by air. A light ray is incident at the mid-point of one end of the rod as shown in the figure. The incident angle θ for which the light ray grazes along the wall of the rod is -
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  1. sin1(12)
  2. sin1(23)
  3. sin1(13).
  4. sin1(32)

A
sin1(12)
B
sin1(23)
C
sin1(32)
D
sin1(13).
Solution
Verified by Toppr

I×sin90=23sin(90α)
cosα=32
So, sinα=134=12
Now, 1×sinθ=23sinα=23×12=13
θ=sin113

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A transparent solid cylindrical rod has a refractive index of 23. It is surrounded by air. A light ray is incident at the mid point of one end of the rod as shown in the figure.

The incident angle θ for which the light ray grazes along the wall of the rod is:


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