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Mechanical Properties of Solids
Young's Modulus and Elastic Limit
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- Maximum elongation within elastic limit
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2024 1 question
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The maximum elongation of a steel wire of 1 m length if the elastic limit of steel and its Young's modulus, respectively, are $8 \times 10^{8}$ N m$^{-2}$ and $2 \times 10^{11}$ N m$^{-2}$, is:Young's modulus $Y = \frac{stress}{\Delta l / l} \Rightarrow \Delta l = \frac{stress \times l}{Y}$ $\Delta l = \frac{8 \times 10^8 \times 1}{2 \times 10^{11}}$ $\Delta l = 4 \times 10^{-3}$ m $= 4$ mm
