CELEBRO
P.GE
Derive the relation between velocity and time
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Answer:
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.
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