The load versus elongation graph for four wires of same length and the same material is shown in figure. The thinnest wire is represented by line
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(c)

For the same load wire with maximum elongation has minimum cross-section area

As $\frac{F L}{A Y}=\Delta x$

$F, L, Y$ are fixed so $\frac{1}{A} \propto \Delta x$

$\Rightarrow O A$ is the thinnest.

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