A copper wire of negligible mass, ${\rm{1 m}}$ length and cross-sectional area ${10^{ - 6}}$ is kept on a smooth horizontal table with one end fixed. A ball of mass ${\rm{1}}$ kg is attached to the other end. The wire and the ball are rotated with an angular velocity 20 rad ${s^{ - 1}}$. If the elongation in the wire is ${10^{ - 3}}{\rm{m}}$, then the Young’s modulus is