Define the relation between velocity, wavelength and frequency of… - Vidyadip

Question

Define the relation between velocity, wavelength and frequency of wave.

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Answer

i. A wave covers a distance equal to the wavelength (λ) during one period (T).
Therefore, the magnitude of the velocity (v) is given by,
Magnitude of velocity $=\frac{\text { Distancecovered }}{\text { Correspondingtime }}$
ii. $v=\frac{22}{7}$ i.e., $v=\lambda \times\left(\frac{1}{T}\right)$
iii. But reciprocal of the period is equal to the frequency (n) of the waves.
$\therefore \frac{1}{T}=n$
iv. From equations (1) and (2), we get
v = nλ
i.e., wave velocity = frequency × wavelength.

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