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Resonance tube experiment

Intermediate

Finds speed of sound from resonance lengths.

Key relationv = 2f(l₂−l₁)

A tuning fork over a tube with adjustable water level. Resonance happens at successive lengths l₁ and l₂, and v = 2f(l₂ − l₁), which eliminates end correction.

Worked example

f = 512 Hz, l₂ − l₁ = 33.5 cm: v = 343 m/s.

Common mistake

Use the difference of two resonances.

In more detail

In a resonance tube experiment, a tube partly filled with water is held over a vibrating tuning fork. The water level is adjusted until resonance is heard, and the wavelength is found from the separation of successive resonances.

Real-world uses

Open the interactive lesson, with simulation and quiz →

Frequently asked questions

Why is the separation half a wavelength?

Successive resonances in a closed tube are separated by half a wavelength.

What is the main source of error?

The end correction and reading the water level accurately.

Why use two resonance lengths?

The difference between them gives half a wavelength directly, which removes the end correction from the calculation.

Related topics in Waves & Sound

Closed organ pipe · End correction · Kundt's tube · Sound as pressure waves · Pitch and frequency · Loudness and intensity

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