A  copper wire is held at the two ends by rigid supports. At  ${60}^{0}C$, the wire is just taut with negligible tension. The speed of transverse waves in this wire at ${10}^{0}C$ is $x\times {10}^1 m/s$. What is the value of $x ?$ 

$(Y=1.6\times {10}^{11}N/m^2, \alpha =1.8\times {10}^{-6}{/}^{0}C \mathrm{and} \mathrm{density}, \mathrm{\rho }=9\times {10}^{3}kg/m^3)$