Visualizing group and phase velocity of a wave

AI Thread Summary
Group velocity refers to the speed at which the overall shape of a wave's amplitudes—known as the envelope—propagates through space, while phase velocity is the speed at which individual wave crests travel. The discussion emphasizes the distinction between these two types of velocities, with phase velocity relating to the oscillation of the wave itself and group velocity concerning the movement of the wave packet. Visual aids, such as animations, can help clarify these concepts. The original poster seeks confirmation on their understanding of these definitions. Understanding both velocities is crucial for analyzing wave behavior in various contexts.
Sharlom
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Homework Statement


how to visualize group velocity and phase velocity?
I tried to to visualize it
The velocity of up and down vibration
Of the wave as phase velocity.
And
The velocity of the whole wave in propagating direction as group velocity.
AM I CORRECT OR WRONG?

Homework Equations

The Attempt at a Solution

 
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Sharlom said:
I tried to to visualize it
The velocity of up and down vibration
Of the wave as phase velocity.
See the first animated figure here https://en.wikipedia.org/wiki/Phase_velocity and then see if you can describe in words the meaning of the phase velocity.
 
Thank u very much
 
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