Physics Question from JEE Main 2023 · 1 February, Shift 2

The Young's modulus of a steel wire of length $6 \, \text{m}$ and cross-sectional area $3 \, \text{mm}^2$, is $2 \times 10^{11} \, \text{N/m}^2$. The wire is suspended from its support on a given planet. A block of mass $4 \, \text{kg}$ is attached to the free end of the wire. The acceleration due to gravity on the planet is $\frac{1}{4}$ of its value on the earth. The elongation of wire is (Take $g$ on the earth = $10 \, \text{m/s}^2$):