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Propagation velocity refers to the speed at which a wave or signal travels through a medium or a system. It is the rate at which the disturbance or information carried by the wave propagates or spreads out in space or time.

The propagation velocity is determined by the properties of the medium through which the wave travels. In a medium such as air, water, or a solid material, the characteristics such as density, elasticity, and temperature affect the propagation velocity. In different media, waves can propagate at different speeds due to variations in these properties.

It's important to note that propagation velocity is different from the velocity of individual particles or elements of the medium. In the case of a mechanical wave, such as a sound wave or a seismic wave, the particles of the medium vibrate or oscillate around their equilibrium positions, while the wave itself propagates through the medium.

Propagation velocity can be constant or variable depending on the nature of the wave and the properties of the medium. For example, in some cases, the propagation velocity of a wave may be constant and independent of frequency, while in others, it may depend on the wavelength or frequency of the wave.

Propagation velocity is a fundamental concept in the study of waves and plays a crucial role in various fields, including physics, engineering, telecommunications, and acoustics.

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