How does speed of sound depends on wavelength?
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Recall that v=fλ, and in a given medium under fixed temperature and humidity, v is constant. Therefore, the relationship between f and λ is inverse: The higher the frequency, the shorter the wavelength of a sound wave. ... Since v=fλ, the higher the speed of a sound, the greater its wavelength for a given frequency.
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The relationship of the speed of sound, its frequency, and wavelength is the same as for all waves: vw = fλ, where vw is the speed of sound, f is its frequency, and λ is its wavelength. ... The greater the density of a medium, the slower the speed of sound
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