Question

The sound emitted by bats has a wavelength of 3.7 mm. what is the sound's frequency in air?

Answer 1

The relationship between frequency, wavelength and speed of a wave is given by:

`f= (v)/(\lambda)`
where
f is the frequency
v is the speed of the wave

`\lambda` is the wavelength

The bat sound has a wavelength of

`\lambda=3.7 mm=3.7 \cdot 10^(-3) m`
while the speed of the wave is just the speed of sound in air:

`v=343 m/s`
Therefore, the frequency of the bat sound is

`f= (v)/(\lambda)= (343 m/s)/(3.7 \cdot 10^(-3)m)=9.27 \cdot 10^4 Hz`