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Question

A light ray is incident at an angle of 60° on the mirror A which is placed at a right angle to a mirror B as shown in figure. Find the angle of reflection for the ray reflected from mirror B.

A
90°
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B
60°
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C
30°
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D
45°
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Solution

The correct option is C 30°
Let the angle of incidence and the angle of reflection on the mirror A be i1 and r1, and on the mirror B be i2 and r2 respectively. We know that the law of reflection states that when a ray of light reflects off a surface, the angle of incidence is equal to the angle of reflection.

Therefore, i1=r1=60°
On Mirror A,
Let the angle between mirror A and the reflected ray be x, then,
x+r1=90o
x+60o=90o
x=30o

Since x and i2 are alternate angles, x=i2=30o

Therefore, from the first law of reflection,
i2=r2=30°

Hence, angle of reflection for the ray reflected from mirror B is 30°.

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