Would changing the frequency of a wave cause a change in amplitude? I would say NO because they don't affect each other, correct?

If I had a wave diagram will 4 complete waves showing and it said the diagram represented 4 sec in time the frequency would be 1cycle/ per second, correct? The period of the wave then would be the inverse which would be 1 second/cyle, correct?
If I'm wrong please just redirect me-thank you

You are partially correct. Changing the frequency of a wave does not directly cause a change in amplitude. Frequency and amplitude are independent variables that describe different characteristics of a wave.

Frequency refers to the number of cycles or oscillations of a wave that occur in a given time period. It is measured in hertz, which represents the number of cycles per second. So if a wave diagram shows 4 complete waves and it represents 4 seconds in time, then the frequency would indeed be 1 cycle per second.

Period, on the other hand, is the inverse of frequency. It represents the time taken for one cycle or oscillation of a wave to occur. So if the frequency is 1 cycle per second, then the period would be 1 second per cycle.

So, frequency and period are inversely related: increasing the frequency decreases the period, and vice versa. However, neither frequency nor period directly affects the amplitude of a wave. Amplitude refers to the maximum displacement or height of a wave from its equilibrium position. It is independent of frequency and period, as it represents a different aspect of the wave.

In summary, changing the frequency of a wave does not cause a change in amplitude. Frequency and amplitude are unrelated characteristics of a wave.