A ray of light passing through the center of curvature of a spherical mirror, after reflection passes through
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Solution
Trace the path of a ray after reflection from the center of curvature
When a ray of light falls on the center of curvature of a spherical mirror it gets reflected back along the same path.
This happens because it falls on the curvature perpendicularly so its angle of incidence and angle of reflection both is zero, i.e. it follows the same path and passes through the center of curvature.
The diagrammatic representation of the given case with the concave mirror and convex mirror is,
Hence, the reflected ray passes through the center of curvature.