The speed of sound in sea water is about 1530 m/s. If a sound wave has a frequency of 2.50 x 10^2 Hz, what is its wavelength in sea water

Answer: 6.12metres

Explanation:

The wavelength is the distance covered by the wave in one complete cycle. It is measured in metres, and represented by the symbol λ

Recall that Wavespeed (V) = Frequency F x wavelength λ

V = F λ

In this case,

Wavespeed of sound = 1530 m/s

Frequency of sound = 2.50 x 10^2 Hz

Wavelength = ? (let the unknown value be Z)

Apply V = F λ

1530 m/s = 2.50 x 10^2 Hz x Z

Z = (1530 m/s / 2.50 x 10^2 Hz)

Z = (1530 m/s / 250Hz)

Z = 6.12m

Thus, the wavelength of sound in sea water is 6.12m