Final answer:
A string vibrating at 10 Hz produces infrasound, which is below the human audible range of 20 to 20,000 Hz, thus making it inaudible regardless of amplitude.
Step-by-step explanation:
A person cannot hear the sound waves produced by a string that vibrates with a frequency of 10 Hz, no matter how large the amplitude of these waves, because this frequency falls below the human audible range. The normal range of human hearing is from 20 to 20,000 Hz, and any sound below 20 Hz is considered infrasound and is not perceivable by the human ear. Therefore, despite the change in amplitude—which affects loudness within the audible range—a vibration at 10 Hz will remain inaudible.