Standing Waves: Same Amplitude & Frequency, Opposite Directions?

In summary, the conversation discusses the formation of standing waves and the conditions required for their production. The statement is made that standing waves are produced by the superposition of two waves with the same amplitude and frequency, but opposite propagation directions. The question is then raised as to whether this would still be the case if the waves had the same amplitude and direction of propagation, but different frequencies. The response explains that standing waves are formed by the reflection of waves from a source, and this reflection does not change the frequency. It is also clarified that a single source cannot produce two different frequencies and two independent sources cannot produce standing waves.
  • #1
lampshader
39
0

Homework Statement




Am I right when i say, "Standing waves are produced by the superposition of two waves with the same amplitude and frequency, and opposite propagation directions".

If I am then why would it not be, the same amplitude and direction of propagation, but different frequencies??

Thanks for any help in advance.

Homework Equations





The Attempt at a Solution

 
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  • #2
Stranding waves are formed by the reflection of the waves from a source. And the reflection does not change the frequency. A single source cannot produce two different frequencies. Two independent sources cannot produce standing waves.
 
  • #3
I just posted an in depth answer to your question in a related thread here: https://www.physicsforums.com/showthread.php?t=373374

(my) post #6

Hope you read it for clarification as it probably will answer your question more completely/thoroughly

-GL
 

Related to Standing Waves: Same Amplitude & Frequency, Opposite Directions?

1. What is a standing wave?

A standing wave is a type of wave that occurs when two waves with the same amplitude and frequency travel in opposite directions and interact with each other. This produces a pattern of nodes and antinodes, where the points of no displacement are called nodes and the points of maximum displacement are called antinodes.

2. How are standing waves formed?

Standing waves are formed when two waves with the same amplitude and frequency interfere with each other. This can happen when a wave reflects off of a fixed boundary, such as a wall or a string that is held at both ends. The two waves combine and create a standing wave pattern.

3. What is the relationship between wavelength and standing waves?

The wavelength of a standing wave is equal to twice the distance between two consecutive nodes. This means that the wavelength of a standing wave is dependent on the length of the medium or the distance between the two fixed boundaries where the wave is reflecting.

4. How do standing waves differ from traveling waves?

Standing waves and traveling waves are two different types of wave motion. While traveling waves move through a medium, carrying energy from one point to another, standing waves do not. Standing waves remain in one place and do not transfer energy. Additionally, traveling waves have a continuously changing amplitude and position, while standing waves have a fixed amplitude and position.

5. What are some real-life examples of standing waves?

Standing waves can be observed in a variety of natural and man-made systems. Some common examples include vibrating strings or membranes, sound waves in a pipe or organ, and electromagnetic waves in a cavity or antenna. Standing waves are also responsible for phenomena such as resonance in musical instruments and the formation of standing waves in ocean currents.

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