Why Is There an Antinode at the Open End of an Organ Pipe?

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An antinode occurs at the open end of an organ pipe due to the relationship between displacement and pressure in standing waves. At the open end, there is a displacement antinode, allowing maximum particle movement, while simultaneously creating a pressure node since gas can freely move in and out. This means that at the open end, there is no pressure buildup, as the gas is unconfined. Understanding this concept is crucial for grasping the behavior of sound waves in organ pipes. The dynamics of particle movement and pressure distribution are key to this phenomenon.
VictoriaWoo
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Homework Statement


Why it is the antinode at the open end?

Homework Equations





The Attempt at a Solution

 
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VictoriaWoo said:

Homework Statement


Why it is the antinode at the open end?

Homework Equations





The Attempt at a Solution


For the standing wave in an organ pipe, displacement nodes correspond with pressure anti-nodes, and displacemment antinodes correspond with pressure nodes.

If you have an antinode at an open end, you must be referring to a displacement antinode [because that is what you get there].

That means a pressure node.

Pressure wise - at an open end, there is no reason for the gas to build up pressure, as it is unconfined.
Displacement wise: being an open end, the gas particles can move in and out at will, so maximum movement is possible → an antinode.

This applet should clarify:
Read carefully, notice which way the particles move and when the particles are crowded together or not.

http://www.walter-fendt.de/ph14e/stlwaves.htm
 
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