MCQ
The graph shows how the magnification $m$ produced by a convex thin lens varies with image distance $v$. What was the focal length of the used
  • A
    $\frac{b}{c}$
  • B
    $\frac{b}{{ca}}$
  • C
    $\frac{{bc}}{a}$
  • $\frac{c}{b}$

Answer

Correct option: D.
$\frac{c}{b}$
d
$(d)$ For a lens $m = \frac{{f - v}}{f} = - \frac{1}{f}v + 1$

Comparing it with $y = mx + c$

Slope $ = m = - \frac{1}{f}$

From graph, slope of the line $ = \frac{b}{c}$

Hence $ - \frac{1}{f} = \frac{b}{c}$ ==> $|\,f|\, = \frac{c}{b}$

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