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Q.

Two plane mirrors A and B aligned parallel to each other, as shown in the figure. A light ray is incident at an angle 30⁰ at a point just inside one end of A. The plane of incidence coincides with the plane of the figure. The maximum number of times the ray undergoes reflections (including the first one) before it emerges out is

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answer is 30.

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Detailed Solution

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Consecutive point where reflection occurs will be at distance of $x = \frac{0.2}{\sqrt{3}}$ .

Hence the number of reflections will be $\frac{2 \sqrt{3}}{(\frac{0.2}{\sqrt{3}})} = 30$

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Two plane mirrors A and B aligned parallel to each other, as shown in the figure. A light ray is incident at an angle 300 at a point just inside one end of A. The plane of incidence coincides with the plane of the figure. The maximum number of times the ray undergoes reflections (including the first one) before it emerges out is