 What is the relationship between velocity, frequency and wavelength?

 Calculate the wavelength of sound for frequencies upto 130 kHz at which a bat can hear it. [Take, speed of sound = 344 ms^{–1}]
 Express the audible range of frequencies in terms of timeperiod, if the velocity of sound in air is 330 ms^{–1}.
 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, (T_{1}) =
T_{2} =
Thus, audible range lies between 5 x 10^{–2}s to 5 x 10^{–5}sin terms of timeperiod.