Question

Deduce the relation between wavelength, frequency and speed of sound.

Answer 1

Frequency, wavelength and wave velocity are related as follow,

Wavelength is the distance travelled by the wave during the time a particle of the medium completes one vibration

Therefore $\lambda$ be the wavelength and $T$ be the time period, then the wave travels a distance $\lambda$ in time $T$

Hence,

$Wavevelocity=\frac{velocity}{Time}$

$V=\frac{\lambda }{T}$

$V=v\lambda$

where,

$v=\frac{1}{T}$

$Wavevelocity=Frequency\times Wavelength$

The wave velocity in a medium remains constant under the same physical conditions.