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

In summary, standing waves are created when two waves with the same frequency and amplitude travel in opposite directions and interfere with each other. This results in a stationary pattern of nodes and antinodes, where the amplitude of the wave remains constant at specific points. However, standing waves can also cause problems, such as resonances, where the amplitude of the wave becomes amplified and can potentially damage structures or equipment. Additionally, standing waves can also disrupt other waves and cause distortion in signals, posing challenges for communication and navigation systems.
  • #1
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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  • #2
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
 

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

1. What is a standing wave?

A standing wave is a type of wave that occurs when two waves of the same frequency and amplitude traveling in opposite directions interfere with each other. This results in a pattern of nodes and antinodes that appear to be standing still.

2. How are standing waves created?

Standing waves are created when two waves with the same frequency and amplitude travel in opposite directions and interfere with each other. This can happen, for example, when a wave is reflected off of a fixed boundary or when two waves are produced by a single source and travel in opposite directions.

3. What is the difference between a standing wave and a traveling wave?

The main difference between a standing wave and a traveling wave is that a standing wave appears to be stationary, while a traveling wave moves through a medium. In a standing wave, the energy is not transferred through the medium, but rather the medium itself is oscillating in place.

4. What is the significance of nodes and antinodes in standing waves?

Nodes and antinodes are points of zero displacement and maximum displacement, respectively, in a standing wave. They represent the points of constructive and destructive interference between the two waves that are creating the standing wave. The location of these points can provide information about the wavelength and frequency of the standing wave.

5. How are standing waves used in real-world applications?

Standing waves have various practical applications, such as in musical instruments, where they are used to produce specific frequencies and tones. They are also used in engineering to test the structural integrity of bridges and buildings, as well as in telecommunications to improve signal strength and stability.

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