The following four wires are made of same material. Which one will have the largest elongation when subjected to the same tension ?
ALength $500\,cm,$ diameter $0.05\,mm$
BLength $200\,cm,$ diameter $0.02\,mm$
CLength $300\,cm,$ diameter $0.03\,mm$
DLength $400\,cm,$ diameter $0.01\,mm$
Medium
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DLength $400\,cm,$ diameter $0.01\,mm$
d $F=\frac{Y_{\mathrm{A}} \Delta L}{\mathrm{L}}$
or $\Delta \mathrm{L}=\frac{\mathrm{FL}}{\mathrm{AY}}\left\{\mathrm{A}=\pi \mathrm{r}^{2}\right\}$
$\Rightarrow$ More $L/A,$ more elongation
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