A \(3\) m long wire of radius \(3\) mm shows an extension of \(0.1\) mm when loaded vertically by a mass of \(50\) kg in…

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

(Take \(\mathrm{g}=3\pi \mathrm{m}/{\mathrm{s}}^{2}\))