Physics Question from JEE Main 2025 · 8 April, Shift 2

A $3 \, \text{m}$ long wire of radius $3 \, \text{mm}$ shows an extension of $0.1 \, \text{mm}$ when loaded vertically by a mass of $50 \, \text{kg}$ in an experiment to determine Young's modulus. The value of Young's modulus of the wire as per this experiment is $P \times 10^{11} \, N/m^2$, where the value of $P$ is: (Take $g = 3\pi \, \text{m/s}^2$)