An aluminium rod having a length $100 \,cm$ is clamped at its middle point and set into longitudinal vibrations. Let the rod vibrate in its fundamental mode. The density of aluminium is $2600 \,kg / m ^3$ and its Young's modulus is $7.8 \times 10^{10} \,N / m ^2$. The frequency of the sound produced is .............. $Hz$
Medium
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