Question

A student used a tuning fork of frequency 320 Hz and observed that the speed of sound was 339 m/s. Calculate the wavelength of this sound wave (in m). (Enter your answer to at least three significant figures.)

Answer 1

To solve this problem it is necessary to apply the concepts related to wavelength as a function of speed and frequency. In mathematical terms it can be expressed as

`\lambda = (v)/(f)`

Where,

v = Velocity

f = Frequency

According to our values the frequency (f) is 320Hz and the speed (v) is 339m / s.

Replacing in the given equation we have to,

`\lambda = (v)/(f)\\\lambda = (339)/(320)\\\lambda = 1.059m\approx 1.06m`

Therefore the wavelength of this sound wave is 1.06m