Answer: decreases
The speed [tex]v[/tex] of a wave is given by the following formula:
[tex]v=f.\lambda[/tex] (1)
Where:
[tex]f[/tex] the frequency of the wave
[tex]\lambda[/tex] the wavelength
But, we want to know its wavelength, hence we have to rewrite equation (1):
[tex]\lambda=\frac{v}{f}[/tex] (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 [tex]\lambda[/tex] is inversely proportional to [tex]f[/tex].
What does this mean?
If [tex]f[/tex] increases [tex]\lambda[/tex] decreases
and
If [tex]f[/tex] decreases [tex]\lambda[/tex] increases
Therefore the correct option is b:
As the frequency of this wave increases, its wavelength decreases.
