A copper rod of length 1.0 m is clamped at its middle point.

Question:

A copper rod of length $1.0 \mathrm{~m}$ is clamped at its middle point. Find the frequencies between $20 \mathrm{~Hz}$ and $20,000 \mathrm{~Hz}$ at which standing longitudinal waves can be set up in the rod. The speed of sound in copper is $3.8 \mathrm{~km} \mathrm{~s}^{-1}$.

Solution:

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