Question

If the wavelength of a wave stays the same, what happens when the wave period increases?

Answer 1

Explanation:

We know that there is a relation between the wavelength and the frequency of wave. It is given by :

$v=f\times \lambda$

Where

v is the speed of a wave

f is the frequency

$\lambda$ is the wavelength

Let T is the wave period of a wave. The frequency of a wave is inversely proportional to the time period. Its formula is given by :

$f=\dfrac{1}{T}$

When the wave period of the wave increases, its frequency gets decreased. As a result, the speed of wave decreases.

Answer 2

This means that the speed of the wave is the wavelength divided by the period, or . But the frequency is just the reciprocal of the period, so . Clearly, if v increases and the frequency stays the same, the wavelength must increase by an equivalent factor.
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