Would changing the frequency of a wave cause a change in amplitude? I would say only if the wave velocity remains the same because if the frequency increases, vibrations increase and then amplitude would decrease, 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

Wave speed and frequency are independent of amplitude. The frequency is usually determined by a vibrating object that drives the waves. The wave amplitude is determined by how much that object moves or vibrateas, and how far away it is.

Your secnd answer is correct

Thank you very much

Changing the frequency of a wave can indeed cause a change in amplitude, but the relationship between frequency and amplitude is more complex than simply depending on wave velocity. The amplitude of a wave is affected by a variety of factors, including the characteristics of the wave source and the medium through which the wave is propagating.

In general, when the frequency of a wave increases, the wavelength gets shorter. For example, in a string wave, if you increase the frequency by plucking the string harder, the resulting wave will have a shorter wavelength.

In some cases, such as with electromagnetic waves, increasing the frequency can actually result in an increase in amplitude. This is because changing the frequency can change the energy carried by the wave, which in turn can affect the amplitude.

Regarding your second question, if you have a wave diagram showing 4 complete waves and it represents 4 seconds in time, then the frequency of the wave would indeed be 1 cycle per second (or 1 Hz). The period of the wave is indeed the inverse of the frequency, so in this case, it would be 1 second per cycle.

I hope this helps clarify your questions. If you have any further inquiries, feel free to ask!