The speed of a transverse wave passing through a string of length 50 cm and mass 10 g is 60 ms^-1. The area of cross-section of the wire is 2.0 mm^2…

The speed of a transverse wave passing through a string of length $\displaystyle 50$ cm and mass $\displaystyle 10$ g is $\displaystyle 60 \mathrm{~ms}^{-1}$. The area of cross-section of the wire is $\displaystyle 2.0 \mathrm{~mm}^2$ and its Young's modulus is $\displaystyle 1.2 \times 10^{11} \mathrm{Nm}^{-2}$. The extension of the wire over its natural length due to its tension will be $\displaystyle x \times 10^{-5} \mathrm{~m}$. The value of $\displaystyle x$ is \_\_\_\_.