Question

A ray of light is incident on a pane mirror at a certain point. The mirror is capable of rotation about an axis passing through the same point. Prove that if the mirror turns through a certain angle then the reflected ray turns through double the angle.

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Answer 1

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A ray of light passing through the centre of curvature of a concave mirror retraces its path (gets reflected along the same path), because as the ray of light passes through centre of curvature of a concave mirror it strikes the mirror along the normal i.e. it incidences on to the mirror at 90 degree.