A point object is placed at the centre of curvature of a spherical concave mirror. Which one among the fol- lowing would be the correct location of image formed?

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  1. At infinity
  2. At the centre of curvature
  3. At the focal point
  4. Between the focal point and the centre of curvature

Answer (Detailed Solution Below)

Option 2 : At the centre of curvature
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CONCEPT:

Image Formation by Concave Mirrors

  • Concave mirrors can form real or virtual images depending on the position of the object.
  • The principal points to consider are:
    • The focal point (F), which is the point where parallel rays converge after reflection.
    • The centre of curvature (C), which is twice the focal length from the mirror and is the centre of the sphere from which the mirror is a part.

EXPLANATION:

  • When an object is placed at the centre of curvature (C) of a concave mirror, the image formed has the following characteristics:
    • The image is real, inverted, and of the same size as the object.
    • The image is formed at the centre of curvature (C) itself.

Therefore, if a point object is placed at the centre of curvature of a spherical concave mirror, the correct location of the image formed is at the centre of curvature.

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