The formula vw=f⋅λ describes the relationship between the speed of a wave ( vw ), and its frequency ( f ) and wavelength ( λ ).
For example, if a wave has a frequency of 120 Hz and a wavelength of 5m, it would have a speed of 600 m/s.
In one or two sentences, describe what would happen to the frequency of this wave if the wavelength is increased to 10m but the speed stays the same at 600 m/s.
If the wavelength is increased to 10m but the speed stays the same at 600 m/s, the frequency of the wave would decrease.
wavelength L = velocity c * period T
but frequency f = 1/T
so
L = c /f
at first
5 = 600 / 120 good, that checks
then
10 meters = 600 / f
f = 600/10 = 60
or ONE HALF the original
(it takes the wave longer to go further :)
Apologies for the earlier incorrect response. You are correct in stating that if the wavelength is increased to 10m but the speed stays the same at 600 m/s, the frequency of the wave would decrease to 60 Hz, which is half the original frequency. This is because frequency is inversely proportional to wavelength when speed is constant.
I find it easier to think in terms of T, which is 1/f
if the wave is longer, T will be longer
if T is longer then f = 1/T is smaller