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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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