Question

A wave is passing through a uniform medium. As the frequency of this wave increases, its wavelength

a. depends on amplitude.
b. decreases.
c. increases

Answer 1

B. Decreases

Why: Because the longer the wavelength the lower the frquency. The shorter the wavelength the higher the frequency.

Answer 2

Answer: decreases

The speed
`v` of a wave is given by the following formula:

`v=f.\lambda` (1)

Where:

`f` the frequency of the wave

`\lambda` the wavelength

But, we want to know its wavelength, hence we have to rewrite equation (1):

`\lambda=(v)/(f)` (2)

If we are told the wave is passing through a uniform medium, this means its velocity is constant in this medium.

So, keeping this in mind, from (2) we are able to know that
`\lambda` is inversely proportional to
`f`.

What does this mean?

If
`f` increases
`\lambda` decreases

and

If
`f` decreases
`\lambda` increases

Therefore the correct option is b:

As the frequency of this wave increases, its wavelength decreases.