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Two mirrors A and B are inclined at angle C. A ray of light incident on mirror B is deviated by 62 degrees, and the angle of emergence is 20 degrees. Find the angle of inclination.

A) 42 degrees
B) 68 degrees
C) 58 degrees
D) 72 degrees

Answer :

Final answer:

The angle of inclination between mirrors A and B is 70 degrees.

Explanation:

To find the angle of inclination between mirrors A and B, we can use the law of reflection. According to the law of reflection, the angle of incidence is equal to the angle of reflection. Since the ray of light is incident on mirror B at an angle of 62 degrees and the angle of emergence is 20 degrees, we can subtract the angle of emergence from 90 degrees to find the angle of incidence.

This gives us an angle of incidence of 70 degrees. Since the angle of incidence is equal to the angle of reflection, the angle of inclination between mirrors A and B is 70 degrees. Therefore, the correct answer is D) 72 degrees.

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