A metallic wire with tension `T` and at temperature `30^(@)C` vibrates with its fundamental frequency of `1 kHz`. The same wire with the same tension but at `10^(@)C` temperature vibrates with a fundamental frequency of `1.001 kHz`. The coefficient of linear expansion of the wire is equal to `10^(-K) .^(@)C`. Find `2K`.

A metallic wire with tension `T` and at temperature `30^(@)C` vibrates with its fundamental frequency of `1 kHz`. The same wire with the same tension but at `10^(@)C` temperature vibrates with a fundamental frequency of `1.001 kHz`. The coefficient of linear expansion of the wire is equal to `10^(-K) .^(@)C`. Find `2K`.