Question:

A ray of light is incident on a plane mirror at an angle of incidence of 15°. The deviation in the ray produced by the mirror is:

Updated On: Dec 20, 2024
  • 30°
  • 60°
  • 120°
  • 150°
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The Correct Option is A

Solution and Explanation

According to the law of reflection, the angle of incidence is equal to the angle of reflection. The angle of incidence is given as \(15^\circ\). Therefore, the angle of reflection is also \(15^\circ\).

The deviation of the ray is the total change in its direction. The incident ray approaches the mirror at \(15^\circ\) to the normal, and the reflected ray leaves at \(15^\circ\) to the normal in the opposite direction. The total change in direction is the sum of these angles.

\[ \text{Deviation} = \text{Angle of incidence} + \text{Angle of reflection} \] \[ \text{Deviation} = 15^\circ + 15^\circ = 30^\circ \]

Therefore, the deviation in the ray produced by the mirror is \(30^\circ\).

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