Which one of following is Young’s modulus ( in N/m^2) for wire having stress-strain curve show

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8.Mechanical Properties of Solids

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Which one of the following is the Young’s modulus $($in $N/m^2)$ for the wire having the stress-strain curve shown in the figure

A

$24 \times {10^{11}}$

B

$8.0 \times {10^{11}}$

C

$10 \times {10^{11}}$

D

$2.0 \times {10^{11}}$

Solution

(d) Young’s modulus is defined only in elastic region and

$Y = \frac{{{\rm{Stress}}}}{{{\rm{Strain}}}} = \,\frac{{8 \times {{10}^7}}}{{4 \times {{10}^{ – 4}}}} = 2 \times {10^{11}}\,\,N/{m^2}$

Standard 11

Physics

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