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Question
Two plane mirrors are arranged at right angles to each other as shown in figure. A ray of light is incident on the horizontal mirror at an angle θ. For what value of θ does the ray emerge parallel to the incoming ray after reflection from the vertical mirror?
Two plane mirrors are arranged at right angles to each other as shown in figure. A ray of light is incident on the horizontal mirror at an angle θ. For what value of θ does the ray emerge parallel to the incoming ray after reflection from the vertical mirror?
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Solution
The correct option is D All of these
A ray of light is incident on the horizontal mirror at an angle θ with horizontal at point A. It gets reflected and incident on the vertical mirror at point B which makes an angle (90°– θ) with vertical as shown in the figure.
By symmetry of the figure, for any angle , the finally reflected ray from vertical mirror will be parallel to the incident ray.
Hence, the correct answer is option (d).
A ray of light is incident on the horizontal mirror at an angle θ with horizontal at point A. It gets reflected and incident on the vertical mirror at point B which makes an angle (90°– θ) with vertical as shown in the figure.
By symmetry of the figure, for any angle , the finally reflected ray from vertical mirror will be parallel to the incident ray.
Hence, the correct answer is option (d).
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