Phase difference in standing wave

In summary, the phase difference between two vibrating particles is zero when there is an even number of nodes between them. This is because the phase changes by 180 degrees when passing through one node, with all points going up on one side and down on the other. Therefore, an equal number of nodes between the particles ensures that the phase difference is zero.
  • #1
Gajan1234
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2
Can someone explain why the phase difference is zero when the there is equal number of nodes between the two vibrating particles.

Thank you
 
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  • #2
You may need to reformulate. Between two particles can be some number of nodes. What would mean for this number to be "equal"?
Equality is a binary operator. Equal to what? Between two particles there is one number of nodes, not two.
 
  • #3
Sorry, I meant to say even number of nodes
 
  • #4
The phase changes by Π (180 degree) when you pass one node. You can see this if you imagine (or draw) a snapshot of the wave. On one side of the node all the points go up and on the other side they all go down.
 
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Related to Phase difference in standing wave

1. What is phase difference in a standing wave?

The phase difference in a standing wave refers to the difference in the phase, or the position within a cycle, between two points on the wave. It is measured in degrees or radians and can indicate the relative positions of crests or troughs in the wave.

2. How is phase difference calculated in a standing wave?

To calculate the phase difference in a standing wave, you would first need to identify two points on the wave that you want to compare. Then, you would measure the distance between these points and divide it by the wavelength of the wave. This will give you the phase difference in terms of fractions of a wavelength.

3. What does a phase difference of 180 degrees mean in a standing wave?

A phase difference of 180 degrees in a standing wave means that the two points being compared are exactly half a wavelength apart. This indicates that the two points are in opposite phases, with one point being at a crest while the other is at a trough.

4. Can the phase difference in a standing wave change?

Yes, the phase difference in a standing wave can change depending on the relative positions of the points being compared. As the wave travels, the points will move and the distance between them will change, resulting in a different phase difference.

5. How does phase difference affect the interference pattern in a standing wave?

The phase difference plays a crucial role in determining the interference pattern in a standing wave. When the phase difference is 0 or a multiple of 360 degrees, the peaks and troughs of the waves will align, resulting in constructive interference and a stronger wave. When the phase difference is 180 degrees, the peaks and troughs will be misaligned, resulting in destructive interference and a weaker wave.

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