The discussion centers on the phase difference in standing waves, specifically why it is zero when there is an even number of nodes between two vibrating particles. It is clarified that an even number of nodes results in a phase change of π (180 degrees) as one moves past each node. This means that if two particles are separated by an even number of nodes, they will oscillate in phase, leading to a phase difference of zero. The importance of visualizing the wave's snapshot is emphasized to understand this concept better. Overall, the relationship between nodes and phase difference is crucial in understanding standing wave behavior.
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Gajan1234
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Can someone explain why the phase difference is zero when the there is equal number of nodes between the two vibrating particles.
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.
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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