Explain why a ray of light passing through the centre of curvature of a concave mirror gets reflected back along the same path
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That's becoz at the pole the surface almost is plane and hence act as a plane mirror
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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.
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