Where should the object be placed around the concave mirror to ensure that the size of the image is the same as the size of the object?

Correct option is C

• At C (center of curvature): The object and the image will be of the same size, but the image will be inverted and will form at the same distance (2f) on the opposite side of the mirror.

• Definition: The center of curvature is the point that lies at the center of the sphere from which the spherical mirror or lens is a part. It is located on the principal axis of the mirror or lens.

• Position in Spherical Mirrors:

  • For a concave mirror, the center of curvature lies in front of the mirror (on the reflective side).

  • For a convex mirror, the center of curvature lies behind the mirror (on the non-reflective side).

• Use in Ray Diagrams:

  • In ray diagrams, the center of curvature is used to draw incident and reflected rays to help locate the image formed by the mirror or lens.

  • Rays passing through the center of curvature will reflect back on themselves in a spherical mirror.

Additional Information:

• Between focus F and center of curvature C: This placement will produce an image that is inverted and larger than the object.

• At focus F: If the object is at the focus, the reflected rays will be parallel and thus form an image at infinity, making the image size irrelevant.

•  Between focus F and pole P: This position will result in a virtual and magnified image.