speed of sound in water

Question

The speed of sound in water is about 1480 m/s. Find the frequency of a sound wave such that its wavelength in water is the same as the wavelength in air at 20° C of a sound wave of frequency 1000 Hz. The speed of sound at 0°C is 331.4 m/s.

Answer 1

Need to calculate the wavelength of air:

wave_len(air) =vel(air) / freq(air)

=343 [m/s] /1000 [Hz] = 0.343 [m]

Use the calculated wavelength of air above to calculate the frequency in water:

freq(water) = vel(water) / wave_len(water)

= 1480 [m/s] / 0.343 [m]

≈ 4318.95 [Hz]