The speed of a transverse wave passing through a string of length \( 50\,\text{cm} \) and mass \( 10\,\text{g} \) is \( 60\,\text{m s}^{-1} \). The area of cross-section of the wire is \( 2.0\,\text{mm}^2 \) and its Young’s modulus is \( 1.2\times10^{11}\,\text{N m}^{-2} \). The extension of the wire over its natural length due to its tension will be \( x\times10^{-5}\,\text{m} \). The value of \( x \) is ______.
