The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied ?
Medium
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$\mathrm{y}=\frac{\mathrm{F} / \mathrm{A}}{\Delta \ell / \ell}$
$F=\mathrm{Ay} \cdot \frac{\Delta \ell}{\ell}$
$\Delta \ell=\frac{\mathrm{F} \ell}{\mathrm{Ay}}=\frac{4 \mathrm{F} \ell}{\pi \mathrm{d} 2 \mathrm{y}}$
$\Delta \ell \propto \frac{\ell}{\mathrm{d}^{2}}$
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