A ray of light passes through an equilateral glass prism in such a manner that the angle of incidence is equal to the angle of emergence and each of these angles is equal to $\frac{3}{4}$ of the angle of the prism. The angle of deviation is

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20°

39°

30°

45°

answer is D.

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Detailed Solution

$Given i = e = \frac{3}{4} A = \frac{3}{4} \times 60 = 45^{\circ} In the position of minimum deviation 2 i = A + δ_{m} or δ_{m} = 2 i - A = 90 - 60 = 30^{\circ}$

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