The speed of sound in air is 331 m/s at 0 °C, and it grows with the square root of the kelvin…

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The speed of sound in air is $331\ \text{m/s}$ at $0\ ^\circ\text{C}$ , and it grows with the square root of the kelvin temperature. A fork of $480\ \text{Hz}$ is used on a tube with an end correction of $1.0\ \text{cm}$ . Find the length of the first resonance (a) on a day at $17\ ^\circ\text{C}$ and (b) on a day at $37\ ^\circ\text{C}$ .

Need a reminder? The key ideaShow

A resonance tube (closed by water) booms when $l_1 + e = \lambda/4$ , $l_2 + e = 3\lambda/4$ , and so on. So

\displaystyle v = f\lambda = 2f(l_2 - l_1) \qquad e = \frac{l_2 - 3l_1}{2} \approx 0.3d

The worked solution

Have you tried it?

Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.

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