Question

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

Answer 1

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):

$\lambda=\frac{v}{f}$   (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.

Answer 2

B. Decreases

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