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  4. For a concave lens of focal length f, the relation between object and image distance u and v respectively, from its pole can best be represented by ( u = v is the reference line):

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Q. For a concave lens of focal length $f$, the relation between object and image distance $u$ and $v$ respectively, from its pole can best be represented by $( u = v$ is the reference line):

JEE MainJEE Main 2020Ray Optics and Optical Instruments

Solution:

$v =\frac{ uf }{ u + f }$
Case-I
If $ v=u$
$\Rightarrow f + u = f$
$\Rightarrow u =0$
Case-II
If $u=\infty$
then $v = f$
Only option (4) satisfies this condition