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A plane mirror reflecting a ray of incident light is rotated through an angle  θ   about an axis through the point of incidence in the plane of the mirror perpendicular to the plane of incidence, thenSelect an answerAThe reflected ray does not rotateBThe reflected ray rotates through an angle  θ CThe reflected ray rotates through an angle 2 θ DAll are correct

Question

A plane mirror reflecting a ray of incident light is rotated through an angle  θ   about an axis through the point of incidence in the plane of the mirror perpendicular to the plane of incidence, thenSelect an answerAThe reflected ray does not rotateBThe reflected ray rotates through an angle  θ CThe reflected ray rotates through an angle 2 θ DAll are correct

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Solution

The correct answer is C. The reflected ray rotates through an angle 2 θ.

Here's why:

  1. When a ray of light hits a mirror, it reflects off the mirror at the same angle as it hit the mirror. This is known as the law of reflection, which states that the angle of incidence (the angle between the incident ray and the normal) is equal to the angle of reflection (the angle between the reflected ray and the normal).

  2. If the mirror is then rotated through an angle θ, the angle of incidence changes by θ. According to the law of reflection, the angle of reflection must also change by θ.

  3. However, because the angle of reflection is measured from the normal (a line perpendicular to the mirror), and the mirror has been rotated, the actual direction of the reflected ray changes by twice the angle of the mirror's rotation.

So, if the mirror is rotated through an angle θ, the reflected ray rotates through an angle 2θ.

This problem has been solved

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