As shown in the figure, in an experiment to determine Young's modulus of a wire, the extension-load curve is plotted. The curve is a straight line passing through the origin and makes an angle of $45^{\circ}$ with the load axis. The length of wire is $62.8\,cm$ and its diameter is $4\,mm$. The Young's modulus is found to be $x \times$ $10^4\,Nm ^{-2}$. The value of $x$ is
JEE MAIN 2023, Easy
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From graph:
$F =\Delta L$
$Y =\frac{ FL }{ A \Delta L }$
$Y =\frac{ L }{ A }$
$Y =\frac{62.8 \times 10^{-2}}{\pi\left(2 \times 10^{-3}\right)^2}$
$Y =5 \times 10^4\,N / m ^2$
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