JEE · NEET Previous Year Question

Two wires $A$ and $B$ made of different materials of lengths 6.0 cm and 5.4 cm , respectively and area of cross sections $3.0\times {10}^{-5}{m}^2$ and $4.5\times {10}^{-5}{m}^2$, respectively are stretched by the same magnitude under a given load. The ratio of the Young's modulus of $A$ to that of $B$ is $x\text{:}3$. The value of $x$ is $\text{\_}\text{\_}\text{\_}\text{\_}$ .

Topic: JEE PYQ

Answer: D. Full step-by-step solution below.