derive a relation between wavelength frequency and wave velocity
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Class 11
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>>Waves
>>Speed of a Travelling Wave
>>Derive the relation between the velocity
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Derive the relation between the velocity of wave, wavelength and frequency.
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Frequency wavelength and wave velocity are related as follows:
Wave length is the distance travelled by the wave during the time a particle of the medium completes one vibration.
Therefore, if λ be the wavelength and T the time period then the wave travels a distance λ and time T
Hence,
Wave velocity =
Time
Distance
⇒v=
T
λ
∴v=νλ [
T
1
=frequency(ν)]
∴ Wave velocity= Frequency × Wavelength
The wave velocity in a medium remains constant under the same physical condition.