Physics Question from JEE Main 2026 · 28 January, Shift 1

Two wires $A$ and $B$ made of different materials have lengths $6.0 \, \text{cm}$ and $5.4 \, \text{cm}$, and areas of cross-sections $3.0\times10^{-5}\,m^2$ and $4.5\times10^{-5}\,m^2$, respectively. They are stretched by the same magnitude under the same load. If the ratio of Young’s modulus of $A$ to that of $B$ is $x:3$, find the value of $x$.