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

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

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

  (1)

Where:

the frequency  of the wave

the wavelength

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

  (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 is inversely proportional to .

What does this mean?

If increases decreases

and

If decreases   increases

Therefore the correct option is b:

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