Relationship between velocity, frequency and wavelength are as follows:
∴ …(1)
and
⇒ Put the value of f in Eq. (1), we get
Then, ν = λf
velocity = Frequency x Wavelenght
We know that,
∵ Frequency, f =
Given, velocity of sound in air, v = 344ms–1
Frequency, f = 130 kHz = 130000 Hz
Wavelength, λ = [from Eq.(2)]
Audible range of frequencies are, v1 = 20 Hz, v2 = 20000 Hz and
velocity of sound in air, v = 330 ms–1
Time period, (T1) =
T2 =
Thus, audible range lies between 5 x 10–2s to 5 x 10–5sin terms of time-period.