Physics Question from JEE Main 2023 · 25 January, Shift 1

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 the wire is $62.8 \, \text{cm}$ and its diameter is $4 \, \text{mm}$. The Young's modulus is found to be $x \times 10^{4} \, Nm^{-2}$. The value of $x$ is: