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Question

A ray of light is approaching a set of three mirrors as shown in the diagram. The light ray is approaching the first mirror at an angle of 45∘ with the mirror surface. How many times will the ray reflect before it exits the system?

A
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B
2
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C
3
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D
4
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Solution

The correct option is B 2 At mirror 1, angle of incidence ∠i=45∘ ⇒∠r=∠i=45∘ Hence ∠r+∠i=90∘ i.e. ray will go horizontally at mirror 2. Here ∠r=90∘−45∘=45∘ ∴∠i=∠r=45∘ ⇒∠i+∠r=90∘ Hence reflected ray goes past mirror, vertically. ∴ After 2 reflection, ray exist the system. Hence, option (b) is the correct answer.

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