Standing waves in tube closed tube

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Homework Help Overview

The discussion revolves around a physics problem involving standing waves in a closed tube filled with water. The original poster describes an experiment where sound maxima are observed at specific water levels, prompting questions about wavelength and the speed of sound.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants explore the relationship between the observed sound maxima and the wavelengths present in the tube. There is a focus on understanding the conditions for resonance and the correct interpretation of the maxima in relation to the standing wave patterns.

Discussion Status

Participants are actively questioning the assumptions made about the number of wavelengths between the maxima and the nature of the tube's closure. Some guidance has been offered regarding the interpretation of resonance and the need to visualize the standing wave patterns.

Contextual Notes

There is a discussion about the configuration of the tube, specifically regarding whether both ends are closed or if one end is open due to the presence of water. This may affect the understanding of the standing wave behavior in the system.

Arcthor
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Homework Statement


A tone with frequency 2,00 * 10^3 Hz is held above a tube filled with water. The water level is increased and decreased.

When the water level is 5.7cm below the opening of the tube, the first sound maxima is heard.

When the water level is 39.3cm below the opening of the tube, the fifth sound maxima is heard.

Questions:
1. what is the wavelength?
2. What is the speed of sound in this specific experiment?

Homework Equations


v=wavelength*frequency

The Attempt at a Solution


My attempt is as follows:

(39.3 - 5.7) = delta distance, and there are four wavelengths between the first and the fifth maxima, therefore the answer should be:

(39.3-5.7) / 4 = 8.4

But the answer is 16.8, double my answer. Why is this?
 
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When is there a sound resonance ? Your title says closed tube. Are both sides closed ?
 
..there are four wavelengths between the first and the fifth maxima..

That's not correct. Try drawing the 5 cases.
 
BvU said:
When is there a sound resonance ? Your title says closed tube. Are both sides closed ?
Sorry, the water makes up the closed part. The opening is open.
 
You have to look at the amplitudes of standing waves (fig 3).
 
+1 to that.

"the first sound maxima" is a reference to resonance not to wave peaks. See the link BvU posted.
 

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