JEE Main 2022 — Mechanical Properties of Solids Question with Solution

In an experiment to determine the Young's modulus, steel wires of five different lengths ($1,2,3,4$ and $5$) but of same cross-section $\left(2{ \mathrm{mm}}^2\right)$ were taken and curves between extension and load were obtained. The slope (extension/load) of the curves were plotted with the wire length and the following graph is obtained. If the Young's modulus of given steel wires is $\mathrm{x}\times {10}^{11}\mathrm{N} {\mathrm{m}}^{-2}$, then the value of $x$ is _____ .