The following four wires of length $L$ and radius $r$ 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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$\Delta \ell=\frac{\ell \mathrm{T}}{\mathrm{A} \mathrm{Y}}=\frac{\ell \mathrm{T}}{\pi \mathrm{r}^{2} \mathrm{Y}}=\left(\frac{\mathrm{T}}{\pi \mathrm{Y}}\right) \times \frac{\ell}{\mathrm{r}^{2}}$
$\frac{\ell}{\mathrm{r}^{2}} \rightarrow \max$ for $\mathrm{L}=100 \mathrm{cm}$
$\& r=0.2 \mathrm{mm}$
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