Prove the focal length of a spherical mirror is half of its radius of curvature
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A spherical mirror is only an approximation of a parabolic mirror. The proof that the focal length is half the radius of curvature requires a parabolic mirror. The minimum radius of curvature where the paraboloid intersects its axis to rotation is the radius that is twice the focal length.
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Focal length of a plane mirror is infinity. (A plane mirror can be considered as a spherical mirror of infinite radius of curvature. Focal length is half of radius of curvature and hence it is infinity.
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