Two plane mirrors A and B are aligned parallel to each other as shown in the figure- A light ray is incident at an angle of 30- at point just inside one end of A- The Plane of incidence coincides with the plane of the figure- How many reflections will occur between the mirrors-

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Standard X

Physics

Image Formation by a Plane Mirror

Two plane mir...

Question

Two plane mirrors A and B are aligned parallel to each other as shown in the figure. A light ray is incident at an angle of $30^{\circ}$ at point just inside one end of A. The Plane of incidence coincides with the plane of the figure. How many reflections will occur between the mirrors?

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Solution

The correct option is D 30

$I n Δ A B C \frac{B C}{A B} = t a n 30^{\circ} \frac{x}{0.2} = \frac{1}{\sqrt{3}} x = \frac{0.2}{\sqrt{3}} Let n be the no of reflections between the mirrors n x = 2 \sqrt{3} n (\frac{0.2}{\sqrt{3}}) = 2 \sqrt{3} n = \frac{2 \sqrt{3} \times \sqrt{3} \times 10}{2} = 30 Hence, no. of reflections that will take place between plane mirrors is 30.$

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[IIT-JEE (Screening) 2002]

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A

and

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are aligned parallel to each other, as shown in the figure. A light ray is incident at an angle

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at a point just inside one end of

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Two plane mirrors A and B are aligned parallel to each other as shown in the figure. A light ray is incident at an angle of $30^{\circ}$ at point just inside one end of A. The Plane of incidence coincides with the plane of the figure. How many reflections will occur between the mirrors?

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Two plane mirrors A and B are aligned parallel to each other as shown in the figure. A light ray is incident at an angle of 30∘ at point just inside one end of A. The Plane of incidence coincides with the plane of the figure. How many reflections will occur between the mirrors?

The correct option is D 30 In Δ ABCBCAB=tan 30∘x0.2=1√3x=0.2√3Let n be the no of reflections betweenthe mirrorsnx=2√3n(0.2√3)=2√3n=2√3×√3×102=30Hence, no. of reflections that will take place between plane mirrors is 30.

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Two plane mirrors A and B are aligned parallel to each other as shown in the figure. A light ray is incident at an angle of $30^{\circ}$ at point just inside one end of A. The Plane of incidence coincides with the plane of the figure. How many reflections will occur between the mirrors?