why the aperture of spherical mirror should be smaller than the centre of curvature?
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Answer:
For a spherical mirror, the diameter of the aperture cannot be more than twice the radius of curvature. Such a mirror would have a significant spherical aberration. A large aperture mirror that can focus parallel incident light into a point would need to have a parabolic shape, such a lens would have no (theoretical) limit on its size. Spherical mirrors do not focus parallel light rays to a single focal point. The point of using an aperture much smaller that the radius of the mirror is to restrict the incoming light to a region where rays do come to a single focal point
Answer:
In photography. The aperture stop of a photographic lens can be adjusted to control the amount of light reaching the film or image sensor. In combination with variation of shutter speed, the aperture size will regulate the film's or image sensor's degree of exposure to light.