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Assertion : Spherical aberration occur i...

Assertion `:` Spherical aberration occur in lenses of larger aperture.
Reason `:` The two rays, paraxial and marginal rays focus at different points.

A

If both assertion and reason are true and reason is the correct explanation of assertion.

B

If both assertion and reason are true but reason is not the correct explanation of assertion.

C

If assertion is true but reason is false.

D

If assertion and reason both are false.

Text Solution

Verified by Experts

The correct Answer is:
A

In wide beam of light, the light rays of light which travel close to the principal axis are called paraxial rays, while the rays which travel quite away from the principal axis is called marginal rays. In case of lens having large aperture, the behaviour of the paraxial and marginal rays are markedly different from each other. The two types of rays come to focus at different points on the principal axis of the lens, thus the spherical aberration occur. However in cae of a lens with small aperture, the two types of rays come to focus quite close to each other.
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Rays parallel to principal axis, incident on the spherical mirror at different heights from principal axis are focused at different points. And due to this reason we cannot define unique focus. This is known as spherical aberration. Angle of incidence theta shown in figure depends on the height of ray above principal axis. Focal length of spherical mirror can be easily written in terms of angle theta shown in figure as follows : f = R- (R)/(2)sec theta Here R is radius of curvature of mirror. The light rays which are very close to principal axis are known as paraxial rays and rays far away from principal axis are called marginal rays. Let f_(P) and fm represent the focal length corresponding to paraxial rays and marginal rays respectively then

Rays parallel to principal axis, incident on the spherical mirror at different heights from principal axis are focused at different points. And due to this reason we cannot define unique focus. This is known as spherical aberration. Angle of incidence theta shown in figure depends on the height of ray above principal axis. Focal length of spherical mirror can be easily written in terms of angle theta shown in figure as follows : f = R- (R)/(2)sec theta Here R is radius of curvature of mirror. The light rays which are very close to principal axis are known as paraxial rays and rays far away from principal axis are called marginal rays. For paraxial rays focal length is approximately

Rays parallel to principal axis, incident on the spherical mirror at different heights from principal axis are focused at different points. And due to this reason we cannot define unique focus. This is known as spherical aberration. Angle of incidence theta shown in figure depends on the height of ray above principal axis. Focal length of spherical mirror can be easily written in terms of angle theta shown in figure as follows : f = R- (R)/(2)sec theta Here R is radius of curvature of mirror. The light rays which are very close to principal axis are known as paraxial rays and rays far away from principal axis are called marginal rays. What will be the focal length for ray which is incident at an angle 60^(@) ?

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