Is it true that the relation $F = R / 2$ holds for a lens?.

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True

False

answer is B.

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Detailed Solution

The above statement is False.
The focal length of a lens depends on radii of curvature of its two spherical surfaces and the refractive index of the material of the lens as per relation:

1 / f = (n - 1) (1 / R_{1} - 1 / R_{2})

The relation

F = R / 2

holds for a spherical mirror.
The correct statement would be the relation

F = R / 2

holds for spherical mirrors.

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