Determine the minimum and maximum wavelengths of sound in water within the audible range ( 20 – 20000 Hz ) for an average human ear. The speed of sound in water is 1450 m s ⁻¹ .

Step-by-step solution

The relation between speed, frequency, and wavelength is given by v = f . The minimum wavelength corresponds to the maximum frequency: _ min = v f_ max _ min = 1450 20000 = 0.0725 m = 7.25 cm The maximum wavelength corresponds to the minimum frequency: _ max = v f_ min _ max = 1450 20 = 72.5 m The minimum and maximum wavelengths are 7.25 cm and 72.5 m respectively.