A sound wave travels at a speed of 339 ms^-1. If its wavelength is 1.5 cm, what is the frequency of the wave? Will it be audible?

Given,

Speed of sound (v) = 339 ms^-1

Wavelength of sound (λ) = 1.5 cm

Converting cm to m

100 cm = 1 m

1.5 cm = $\dfrac{1.5}{100}$= 0.015 m

We know,

Speed (v) = Wavelength (λ) x Frequency (ν)

or

Frequency (ν) = $\dfrac{\text{Speed (v)}}{\text{Wavelength (λ)}}$

Substituting we get,

ν = $\dfrac{339}{0.015}$ = 22,600 Hz

Hence, the frequency of the sound = 22,600 Hz

No, it will not be audible as it is outside the audible range for human ear i.e. 20 Hz to 20,000 Hz.