a ray of light passing through centre of curvature of a concave mirror retraces its path on reflection, why?
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It is incident along the normal, therefore, no deflection is caused.
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Answer: Because that ray falls normally om the surface of the mirror (angle of incidence zero), hence by law of reflection, it comes back along the same path.
The normal of a surface is perpendicular to the surface. For a curved mirror, consider the point where the ray falls on the mirror. At that point, imagine an infinitesimal plane surface. Obviously that infinitesimal surface is along the tangent to that point. The normal is, well, the radius! And what is the center of curvature? Nothing but the center of the circle/sphere.
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