An object is placed at the center of curvature of a concave...

An object is placed at the center of curvature of a concave mirror Which of the following is true about the image?
(A) It is real and inverted.
(B) It is virtual and inverted.
(C) It is real and upright.
(D) It is virtual and upright

Key Concepts

Image Formation in Spherical Mirrors

The process of image formation in spherical mirrors involves the use of the mirror equation, which relates the object distance, image distance, and the focal length. Understanding the geometry of reflection, particularly for objects placed at specific points like the focal point or center of curvature, helps predict the nature, position, and quality of the image produced.

Real and Virtual Images

Real images are formed when light rays converge at a point after reflection or refraction, meaning they can be projected onto a screen. In contrast, virtual images occur where light rays appear to diverge from a point behind the mirror or lens, and these cannot be projected. Concave mirrors typically form real images when the object is at a distance greater than the focal length.

Image Orientation and Magnification

The orientation and size of an image are determined by the object location relative to the mirror's focal point and center of curvature. When an object is placed at the center of curvature, the image formed is inverted relative to the object and has a magnification of -1, meaning the image is the same size as the object but reversed in orientation.

Concave Mirror

A concave mirror is a spherical reflective surface that curves inward and converges incoming parallel rays of light toward a focal point. It is widely used in various optical applications to form real images when the object is placed at a suitable distance from the mirror.

Center of Curvature

The center of curvature of a concave mirror is the center of the sphere from which the mirror segment is taken. It is located at a distance equal to the radius of curvature from the mirror's surface, and when an object is placed at this point, the image is formed at the same location, resulting in a real and inverted image of the same size as the object.

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