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Question

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

A
For all rays
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B
Only for paraxial rays near the principal axis
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C
For those rays which are far from the principal axis
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D
For those rays which subtend extremely large angles with the axis
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Solution

The correct option is B Only for paraxial rays near the principal axis
The rays that are near the principal axis (paraxial rays) and parallel to it converge to a single point on the axis after emerging from the spherical mirror. This point is called the focal point F of the lens.
And this is half of the radius of the curvature in spherical mirror.

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