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…

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 $\displaystyle 45^{\circ}$ with the load axis. The length of wire is $\displaystyle 62.8$ cm and its diameter is $\displaystyle 4$ mm . The Young's modulus is found to be $\displaystyle x \times 10^4 \mathrm{Nm}^{-2}$. The value of $\displaystyle x$ is $\displaystyle \_\_\_\_$.