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):

Question

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): (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

v =( uf / u + f ) Case-I If v=u ⇒ f + u = f ⇒ u =0 Case-II If u=∞ then v = f Only option (4) satisfies this condition

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):

$v = \frac{u f}{u + f}$
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

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):

v=u+fuf​ Case-I If v=u ⇒f+u=f ⇒u=0 Case-II If u=∞ then v=f Only option (4) satisfies this condition

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):

$v = \frac{u f}{u + f}$
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