why a particle in air come back to its position after hitting the adjacent particle in sound waves?
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Sound waves traveling through air are indeed longitudinal waves with compressions and rarefactions. As sound passes through air (or any fluid medium), the particles of air do not vibrate in a transverse manner.
The speed of propagation depends only on the frequency of the wave. Yes, the speed of propagation depends upon the wavelength of the wave, and wavelength changes as the frequency changes. ... No, the speed of propagation is constant in a given medium; only the wavelength changes as the frequency changes.
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