The Formation of Images at the Center of Curvature in Concave Mirrors

You have a concave mirror, the object is placed on the center of curvature. Where is the image?

When an object is placed on the center of curvature of a concave mirror, the image is formed at the same location as the object

When an object is placed on the center of curvature of a concave mirror, the image is formed at the same location as the object. Thus, the image will also be formed at the center of curvature of the concave mirror.

A concave mirror is a mirror with a curved reflective surface that bulges inward, resembling a section of the inner surface of a sphere. The center of curvature of a concave mirror is the center of the sphere from which the mirror is a part.

When the object is placed at the center of curvature, parallel rays of light from the object strike the mirror and get reflected converging towards a common point. This point is also the center of curvature.

According to the laws of reflection, the reflected rays will diverge after striking the mirror, but when they are extended backward, they intersect at a point behind the mirror. This point is where the image is formed.

Since the object is located at the center of curvature, the image will be formed exactly at the same location. The image will be real, inverted, and of the same size as the object.

Thus, when an object is placed at the center of curvature of a concave mirror, the image is formed at the center of curvature itself.

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