How is the focal length of a spherical mirror related to its radius of curvature?

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the focal length of a spherical mirror is half of the radius of curvature

the focal length of a spherical mirror is double the radius of curvature

the focal length of a spherical mirror is one-fourth of the radius of curvature

None of the above

answer is A.

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Detailed Solution

The focal length of a spherical mirror is half of the radius of curvature.
The focal length of a spherical mirror can be defined as the distance between the principal focus and the pole of the spherical mirror. Also, every spherical mirror is a part of the sphere of any radius. This radius is known as the radius of curvature. Hence, the focal length is half the radius of curvature for spherical mirrors with a small aperture.

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