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The focal length of a concave mirror is 24 cm. Following New Cartesian Sign Convention. its centre of curvature is located at:
Question

The focal length of a concave mirror is 24 cm. Following New Cartesian Sign Convention. its centre of curvature is located at:

A.

-48 cm

B.

-24 cm

C.

24 cm

D.

48 cm

Correct option is A

Sol: The correct answer is (a) - 48cm

In the New Cartesian Sign Convention for concave mirrors:

  • The focal length (ff) is negative if measured from the mirror to the focal point along the principal axis.

  • The center of curvature (CC) is twice the focal length, so its distance from the mirror is 2f2f.

Given the focal length:

  • f = -24 cm (negative because it's a concave mirror)

Find the center of curvature:

C = 2f
C = 2×(−24 cm)
C = −48 cm

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