Find the Young's modulus of the wire whose stress-strain curve is as shown in the following figure

Find the Young's modulus of the wire whose stress-strain curve is as shown in the following figure

1. $8 \times 10^{11} \mathrm{Nm}^{-2}$
2. $24 \times 10^{11} \mathrm{Nm}^{-2}$
3. $10 \times 10^{11} \mathrm{Nm}^{-2}$
4. $2 \times 10^{11} \mathrm{Nm}^{-2}$

Solution

We know that, stress $=Y \times$ strain (Under proportional limit)
Now Young's modulus, $Y=\frac{\text { Stress }}{\text { Strain }}=\frac{(8-0) \times 10^7}{(4-0) \times 10^{-4}}$ $=2 \times 10^{11} \mathrm{Nm}^{-2}$

Asked in: AP EAMCET 2021 (24 Aug Shift 2)

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