When two plane mirrors subtend an angle between them

PHYSICS · Single correct · CBSE · Physics · Light — Reflection and Refraction · Light — Reflection and Refraction

Problem

When two plane mirrors subtend an angle θ\theta between them, a ray of light incident parallel to one of them retraces its path after nn reflections such that nθ=cn\theta=c, where cc is a constant. What is the value of cc? (a) π\pi (b) π2\frac{\pi}{2} (c) 3π2\frac{3\pi}{2} (d) None of these

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