Oscillations and Waves - Hard

A metallic wire with tension

T

and at temperature

30^\circ\text{C}

vibrates with its fundamental frequency of

1\,\text{kHz}

. The same wire with the same tension but at

10^\circ\text{C}

temperature vibrates with a fundamental frequency of

1.001\,\text{kHz}

. The coefficient of linear expansion of the wire is