State whether the given statement is true or false.

For a spherical mirror the diameter of the aperture cannot be over twice the radius of curvature. Such a mirror would have an enormous aberration.

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True

False

answer is A.

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Detailed Solution

The given statement is true .
Concept- An aperture in optics can be a void or a crevice through which light passes. More specifically, the cone angle of a group of rays that focus within the picture plane depends on the aperture and distance of an optical system.
The diameter of the aperture for a spherical mirror cannot be greater than twice the radius of curvature. A mirror like that would have a significant aberration. By utilizing an aperture significantly smaller than the mirror's radius to confine the incoming light to a region where the rays do arrive to at least one focus, spherical mirrors may be used to concentrate parallel light rays to at least one focus.
A severe aberration would exist in such a mirror whereby not all incident light would focus in an identical location unless it came from the center of curvature. In order to create a lens with no theoretical size limit, an enormous aperture mirror that will concentrate parallel incident light into a degree has to have a parabolic form.
Hence, the given statement is true .

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