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Question: A ray of light passes through an equilateral glass prism in such a manner that the angle of incidenc...

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 3/4 of the angle of the prism. The angle of deviation is

A

450

B

390

C

200

D

300

Answer

300

Explanation

Solution

Given that i=e=34A=34×60=45∘i = e = \frac { 3 } { 4 } A = \frac { 3 } { 4 } \times 60 = 45 ^ { \circ }

By using i+e=A+δi + e = A + \delta ⇒\Rightarrow 45+45=60+δ⇒δ=30∘45 + 45 = 60 + \delta \Rightarrow \delta = 30 ^ { \circ }