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Question

A ray of light passes through an equilateral prism such that the angle of incidence is equal to the angle of emergence and each of these equal to 3/4 of the angle of the prism. The angle of deviation is
  1. 45
  2. 39
  3. 20
  4. 30

A
30
B
45
C
39
D
20
Solution
Verified by Toppr

Let the angle of incidence of light at prism. i=x
So, Angle of emergence , e=x

Angle of prism , A=43x

Since prism is equilateral 3A=180ox=45o
From prism formula:

Angle of deviation , δ=i+eA=45+4560=30o

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