Concave Mirror Image Formation at Center of Curvature

When an object is placed at the center of curvature (C) of a concave mirror, the light rays originating from the object behave in a specific way:

• A ray parallel to the principal axis reflects through the principal focus (F).
• A ray passing through the principal focus (F) reflects parallel to the principal axis.
• A ray directed towards the center of curvature (C) reflects back along the same path.

For an object positioned exactly at C, the reflected rays converge at the same point.

Image Characteristics

The image formed under these conditions has the following characteristics:

• Position: The image is formed at the center of curvature (C) itself.
• Nature: The image is real, as the reflected rays actually converge. It is also inverted.
• Size: The image is of the same size as the object.

Therefore, when an object is placed at the center of curvature of a concave mirror, the image is formed at the center of curvature itself, is real, and is of the same size.