Derive the relation between wave velocity, frequency and wavelength for a periodic wave.
When a periodic wave propagates through a medium, particles of the medium oscillate with simple harmonic motion.
The frequency n of the wave is the reciprocal of its time period T, i.e.,
ν = 1/T
Wave velocity is the distance covered by a wave in one time period. Therefore
V =
=
or V =
Substituting equation (1), we get
V = ν λ
or Wave velocity = Frequency × Wavelength
Thus, wave velocity is a product of frequency and wavelength.
The frequency n of the wave is the reciprocal of its time period T, i.e.,
ν = 1/T
Wave velocity is the distance covered by a wave in one time period. Therefore
V =
=
or V =
Substituting equation (1), we get
V = ν λ
or Wave velocity = Frequency × Wavelength
Thus, wave velocity is a product of frequency and wavelength.
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