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An incident ray of light is initially normal to the surface of a plane mirror. The mirror is rotated untilthe angle between the incident and reflected rays is 30°. The mirror has been rotated through an angleof

Question

An incident ray of light is initially normal to the surface of a plane mirror. The mirror is rotated untilthe angle between the incident and reflected rays is 30°. The mirror has been rotated through an angleof

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Solution

The angle of incidence is the angle between the incident ray and the normal (perpendicular) to the surface. Since the incident ray is initially normal to the surface, the angle of incidence is 0°.

When the mirror is rotated, the angle of incidence changes. The angle of reflection (the angle between the reflected ray and the normal) is always equal to the angle of incidence, according to the law of reflection.

The problem states that the angle between the incident and reflected rays is 30°. This is twice the angle of incidence (because the incident ray, the normal, and the reflected ray form a straight line, or 180°).

So, the angle of incidence is 30°/2 = 15°.

Therefore, the mirror has been rotated through an angle of 15°.

This problem has been solved

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