Question

Two plane mirrors A and B are aligned parallel to each other, as shown in figure. A light ray is incident at an angle 30 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:

A
28
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B
30
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C
32
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D
34
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Solution

The correct option is B 30no. of reflection =2√3xas x= length occupied by ray in 1 reflection & we have 2√3 as total length.⇒tan30∘=x0.2⇒1√3=x0.2⇒0.2√3=x0. total no. of reflection =2√3x=2√30.2√3=30–––Hence option 'B) is correct

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