Question

If Tom were so foolish as to play his keyboard instrument under water, where the speed of sound is 1500 m/s , what would be the wavelength of the B note in water ? Explain why the B tone has a longer wavelength in water than in air. (frequency of middle B tone is 494 Hz )

Answer 1

λ = 3.04 m

Step-by-step explanation:

• At any traveling wave, there exists a fixed relationship between speed, wavelength and frequency, as follows:

`v = \lambda* f (1)`

• We know the value of speed of sound in water (1500 m/s), and the frequency of middle B tone (494 Hz) , so we can find the wavelength λ (in meters) as follows:

`\lambda_(w) = (v_(sw))/(f) = (1500m/s)/(4941/s) = 3.04 m (2)`

• Since the frequency is the same at any medium, and the speed of sound in air is lower than in water (334 m/s) this means that the wavelength in water must be longer than in air.