How does a light ray emerge after reflection if it is directed towards the centre of curvature ?
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A ray directed in the direction of the centre of curvature of a convex mirror, after reflection, is reflected back along the same path. Here i = r = 0. The light rays come back along the same path because the incident rays fall on the mirror along the normal to the reflecting surface.
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A ray of light going towards centre of curvature is reflected back along the same path. After reflection, a ray of light going towards the focus becomes parallel to the principal axis. Ray of light which is incident at the pole is reflected back making the same angle with the principal axis.
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