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Q.

Two plane mirrors M1 and M2 make an angle of 30o with each other. A ray of light strikes M1 at an angle of 45o as shown in figure. Then after two successive reflections at the mirror, total angle of deviation of the reflected ray will be

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a

240o

b

120o

c

30o

d

60o

answer is D.

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Detailed Solution

At point B, angle of incidence i1=90o−45o=45o.∴ Angle of deviation δ1=180o−2i1=90o clockwiseNow ∠OCB=180o−30o−45o=105o∴ At C, angle of incidence, i2=105o−90o=15o∴ δ2=180o−2i2=150o anticlockwise∴ δnet=δ2−δ1=150o−90o=60o anticlockwise
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