a wave with a frequency of 3.1 hz and a wavelength of 0.3 meters experiences a lengthening of wavelength to 2.6 meters what is the new frequency of this wave?

a wave generator produces a wave with a frequency of 45 hz and a wavelength of 1.9 meters. If the settings on the wave generator are changed so that it is producing a wave at a frequency of 49 hz what is the wavelength of the new wave?

1 answer

Is this the same set of waves?
Do you have a box where you store leftover waves?

If waves go by you in deep water with high speed and long wavelength for example, they will slow down and become shorter as they approach a shallow beach. However the same number hit the beach per minute as passed your buoy offshore. The frequency (and period) do not change. If the length gets longer, the speed has to increase to keep the frequency the same.

Now in the second question you are changing the wave generator itself. It is not the same waves. Assuming for example that the speed is constant (true on a string or in air or something but not on the ocean)the wavelength over the period (the speed) will be constant which means the length times the frequency is constant.
45*1.9 = 49 * L

L = (45/49)1.9 = 1.74 meters