The strain-stress curves of three wires of di | vedclass

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(D) In the given graph,stress is plotted on the $x$-axis and strain is plotted on the $y$-axis.Young's modulus $Y$ is defined as the ratio of stress t

Vedclass · Accepted Answer

None of the above is true

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(D) In the given graph,stress is plotted on the $x$-axis and strain is plotted on the $y$-axis.Young's modulus $Y$ is defined as the ratio of stress to strain,i.e.,$Y = \frac{	ext{stress}}{	ext{strain}}$.From the graph,the slope of the line is $	ext{slope} = \frac{	ext{strain}}{	ext{stress}} = \frac{1}{Y}$.Therefore,$Y = \frac{1}{	ext{slope}}$.Since the slope of line $P$ is the greatest,its Young's modulus $Y$ is the smallest.Since the slope of line $R$ is the smallest,its Young's modulus $Y$ is the greatest.Thus,the elasticity of wire $R$ is maximum and that of wire $P$ is minimum.Comparing this with the given options,options $A$,$B$,and $C$ are incorrect.Therefore,the correct option is $D$.

The strain-stress curves of three wires of different materials are shown in the figure. $P, Q$ and $R$ are the elastic limits of the wires. The figure shows that

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