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Question

Two plane mirrors are arranged at right angles to each other. A ray of light is incident on the horizontal mirror at an angle θ. For what value of θ, the ray emerges parallel to the incoming ray after reflection from the vertical mirror?


A
60
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B
30
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C
45
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D
All of the above
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Solution

The correct option is D All of the above

Let N1 and N2 be the normal at both mirrors.
At mirror 1,
i=θ=r
At mirror 2,
i=90θ
Hence, the reflected ray makes an angle (90θ) from normal N2 which is horizontal.
Thus, incident and reflected rays become parallel as both make (90θ) from horizontal.
It holds true for all values of θ.
For two mirrors inclined at 90, the final reflected ray always emerges parallel to the incident ray.
Hence, option (d) is the correct answer.

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