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Where does the image form when an object is positioned at the centre of curvature of a concave mirror?
Question

Where does the image form when an object is positioned at the centre of curvature of a concave mirror?

A.

At the centre of curvature

B.

At the pole

C.

At infinity

D.

At the focal point

Correct option is A

Correct Answer: A) At the centre of curvature

Explanation:
When an object is placed at the centre of curvature (C) of a concave mirror, the image forms at the centre of curvature (C) itself. The characteristics of the image formed in this case are:

  • Location: At the centre of curvature (C)
  • Size: Same size as the object
  • Nature: Real and inverted
  • Type: Can be obtained on a screen

Ray Diagram Explanation:

  1. A ray parallel to the principal axis passes through the focus (F) after reflection.
  2. A ray passing through the focus (F) reflects parallel to the principal axis.
  3. A ray passing through the centre of curvature (C) reflects back along the same path.

Since all rays converge at C, the image is formed at the centre of curvature.

Information Booster:

  • Concave mirrors produce real images except when the object is between F and P, where it forms a virtual and enlarged image.
  • Uses of concave mirrors include shaving mirrors, telescopes, headlamps, and reflecting microscopes due to their ability to focus light.
  • If an object is beyond C, the image forms between C and F, diminished, real, and inverted.
  • If an object is placed at F, the image forms at infinity, highly magnified, and real.
  • If an object is between F and P, the image forms behind the mirror, enlarged, upright, and virtual.

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