Question

to prove that v is equal to N Lambda

Answer 1

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Answer 2

The relation between velocity, wavelength and the frequency is as follows :

Explanation:

If v is the velocity of a wave. We know that the total distance covered by a wave per unit time is called velocity of a wave. It is given by :

$v=\dfrac{d}{t}$

The distance between one crest to another crest or one trough to another trough is called wavelength of a wave. It is equivalent to distance covered. The time taken to complete one oscillation is called time period of a wave. So, the velocity of a wave is given by :

$v=\dfrac{\lambda}{t}$

Since, $f=\dfrac{1}{t}$, t is the time period

So, $v=f\times \lambda$

Hence, proved.

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