Phase of particles on a stationary wave

AI Thread Summary
In a stationary wave, particles on either side of a node, such as points X and Y, are indeed 180 degrees out of phase with each other. This is because particles at a node vibrate in the same phase, while those across the node experience an inversion, resulting in a phase change of 180 degrees. The amplitude of the wave changes with position, but the phase relationship remains consistent across the node. Therefore, the conclusion is that particles on opposite sides of a node are out of phase by 180 degrees. Understanding this phase relationship is crucial in wave mechanics.
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Are the particles on either side of a node 180 out of phase?
Let's say there's a stationary wave, and X and Y are two points on either side of a node, moving in opposite directions. Are X and Y 180 degrees out of phase with each other?


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Yes particles within a node vibrate in one phase (only their amplitude is changing with x) and across a node the string inverts (a phase change of 180 degrees) so I should think yes.
 

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