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
45∘
39∘
20∘
30∘
A
30∘
B
45∘
C
39∘
D
20∘
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Solution
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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=180o⟹x=45o
From prism formula:
Angle of deviation , δ=i+e−A=45+45−60=30o
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