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Chapter 30: Problem 11

Through what angle should you rotate a mirror so that a reflected ray rotates through \(30^{\circ} ?\)

Short Answer

Expert verified
The mirror should rotate through an angle of \(15^{\circ}\).

Step by step solution

01

Understanding Reflection of Light

When the light beam strikes a mirror, it gets reflected off the mirror. Here the angle at which the light hits the mirror (angle of incidence) is equal to the angle at which it bounces back or reflects (angle of reflection). This fundamental concept of physics is known as the Law of Reflection.
02

Determine Relation of Mirror Movement and Reflected Ray

If you tilt or rotate a mirror, the reflected ray gun rotates twice the angle that the mirror rotates. This relationship is due to the Law of Reflection.
03

Calculation

If the reflected ray is to turn through \(30^{\circ}\), then the mirror should rotate through an angle which is half of the angle through which the reflected ray turns because the reflected ray rotates twice as much as mirror. The mirror should rotate through \(\frac{30^{\circ}}{2} = 15^{\circ}\).

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Most popular questions from this chapter

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