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Q.

Two plane mirrors are inclined to each other at an angle θ. A ray of light is incident an one mirror and after two successive reflections, the final reflected ray becomes parallel to the incident ray. Then the value of θ is

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a

Any angle

b

90o

c

45o

d

60o

answer is B.

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Detailed Solution

∠ABO=π−α+θ∠RBO=π−α+θAlso, by law of reflection, ∠PBM2=∠ABO=π−α+θSince PB and QA are parallel, ∠QAB=∠PBR⇒π−2α=2π−α+θ⇒θ=90o
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