The maximum elongation of a steel wire of $1 \mathrm{~m}$ length if the elastic limit of steel and its Young's modulus, respectively, are $8 \times 10^8 \mathrm{~N} \mathrm{~m}^{-2}$ and $2 \times 10^{11} \mathrm{~N} \mathrm{~m}^{-2}$, is:
NEET 2024, Medium
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In the case for maximum elongation,
Stress $=$ Elastic limit
$\delta_{\text {max }}=\frac{\sigma_{\text {elastlc }} \times L}{\text { Young's modulus }}=\frac{8 \times 10^8 \times 1}{2 \times 10^{11}} =4 \times 10^{-3}$
$=4 \mathrm{~mm}$
i.e. maximum elongation is $4 \mathrm{~mm}$
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