Question

Why does the frequency of a wave increase as the wavelength decreases

Answer 1

Because their PRODUCT is always the same number ... the wave speed. So if one of them changes, the other one has to change in the opposite direction, in order to keep their product the same.

Answer 2

Explanation:

We know that the number of complete waves formed in 1 sec time is frequency and the distance between two consecutive crests or troughs is wavelength. And we have the formula that

Velocity = wavelength * frequency

or, frequency = velocity / wavelength

Here we can see frequency is directly proportional to velocity and indirectly proportional to wavelength.

So as the wavelength increases frequency decreases and as the wavelength decreases frequency increases.

Hope you understood