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:-

\(\textbf{Details and Assumptions:-}\)

\(\bullet \textbf{Y}=\textbf{Young's Modulus}\)

\(\bullet \rho= \textbf{Density}\)

\(\bullet \alpha= \textbf{Thermal coefficient of expansion}\)

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