Final answer:
Yes, a low-frequency wave can have varying amplitudes. Amplitude and frequency are independent properties of a wave, meaning the energy level determines the amplitude, not the wave's frequency. Option A is correct.
Step-by-step explanation:
Can a low-frequency wave sometimes have a large amplitude and sometimes have a small amplitude? The answer is yes. The amplitude and the frequency of a wave are independent of each other.
This means that a wave can have a low frequency with either a large or a small amplitude depending on the amount of energy in the wave. For instance, ocean waves are not perfectly sinusoidal and can display a wide range of amplitudes at low frequencies.
Similarly, in sound waves, a low-frequency sound can be soft or loud, depending on its amplitude. It's also important to remember the concept of resonance, where a small-amplitude driving force can produce a large-amplitude response if at the right frequency.