Question:
A $40 \mathrm{~cm}$ wire having a mass of $3.2 \mathrm{~g}$ is stretched between two fixed supports $40.05 \mathrm{~cm}$ apart. In its fundamental mode, the wire vibrates at $220 \mathrm{~Hz}$. If the area of cross-section of the wire is $1.0 \mathrm{~mm}^{2}$, find the Young's modulus.
Solution:
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