Two blocks of mass 2 kg and 4 kg are connected by a metal wire going over a smooth pulley as shown in figure. The radius of wire is 4.0 × 10^-5 m and…

Two blocks of mass $\displaystyle 2$ kg and $\displaystyle 4$ kg are connected by a metal wire going over a smooth pulley as shown in figure. The radius of wire is $\displaystyle 4.0 \times 10^{-5} \mathrm{~m}$ and Young's modulus of the metal is $\displaystyle 2.0 \times 10^{11} \mathrm{~N} / \mathrm{m}^2$. The longitudinal strain developed in the wire is $\displaystyle \frac{1}{\alpha \pi}$. The value of $\displaystyle \alpha$ is $\displaystyle \_\_\_\_$. $\displaystyle \left[\right.$ Use $\displaystyle \left.g=10 \mathrm{~m} / \mathrm{s}^2\right]$