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Infrasonic, Ultrasonic and Audio waves

The range of ...

Question

The range of the frequency of audible sound is 20 kHz. What is the range of wavelength for the audible sound at $0^{\circ} C$ ? (Take velocity of sound as ${330 m s}^{- 1}$ at $0^{\circ} C$ )

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Solution

Velocity of sound $v = 330 m / s$
Range of audible frequency $ν = 20000$ Hz
Wavelength of sound $λ = \frac{v}{ν}$
Range of wavelength of audible sound $λ = \frac{330}{20000} = 16.5 m m$

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