A copper wire of negligible mass, length 1 m and area of cross-section $10^{-6}\text{m}^{2}$ is kept on a smooth horizontal table. One end of the wire is fixed and other end of the wire attached with a ball of mass 1 kg. If the ball and wire are rotating with 20 rad $\text{s}^{-1}$, an elongation of $10^{-3}\text{m}$ is observed in the wire, find its Young's modulus