Phase Velocity: What Does it Tell Us About Waves?

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Phase velocity is defined as v=ω/κ and represents the speed at which the peaks of a continuous, unmodulated wave travel. It does not equate to the overall velocity of the wave itself, making it challenging to measure over multiple cycles. Accurate measurement often requires modulation of the wave, particularly for electromagnetic waves, except at longer wavelengths where frequency and wavelength can be easily determined. In the context of light, group velocity is more relevant for understanding the speed of light pulses. Understanding phase velocity is crucial for analyzing wave behavior in various physical contexts.
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What is phase velocity? I know it is defined as v=ω/κ
But what does this phase velocity tells about the wave? Does it means the velocity of wave?
 
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It simply tells you the speed at which the peaks (etc.) of a continuous, unmodulated wave will progress.

This is not a quantity that is easy to measure when you need to involve many cycles of the wave from A to B. We need to modulate the beam, normally - for measuring the speeds of em waves (except the longer wavelengths, where we can measure the frequency accurately and also find the wavelength easily). For light, we need to look at the group velocity (of a light pulse, for instance).
 
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