How are the wave velocity, frequency and wavelength of a wave related? Derive the relationship.
Answers
Answer:
A wave has a wavelength λ, which is the distance between adjacent identical parts of the wave. The wave velocity and the wavelength are related to the wave's frequency and period by vw=λT or vw=fλ. The time for one complete wave cycle is the period T. The number of waves per unit time is the frequency ƒ.
Answer:
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Explanation:
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 =TimeDistance
⇒v=Tλ
∴v=νλ [T1=frequency(ν)]
∴ Wave velocity= Frequency × Wavelength
The wave velocity in a medium remains constant under the same physical condition.