# 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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