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.…

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