Is this wire physically strong?

A metallic wire of length $l$ is held between two rigid supports. If the wire is cooled at a temperature $t$ ,then the frequency of oscillation is proportional to:-

$\textbf{Details and Assumptions:-}$

$\bullet \textbf{Y}=\textbf{Young's Modulus}$

$\bullet \rho= \textbf{Density}$

$\bullet \alpha= \textbf{Thermal coefficient of expansion}$