Final answer:
The beat frequencies produced by striking the F, F-sharp, and G keys together on a piano, with their frequencies being 349 Hz, 370 Hz, and 392 Hz, are 21 Hz between F and F-sharp, and 22 Hz between F-sharp and G.
Step-by-step explanation:
When three adjacent keys on a piano (F, F-sharp, and G) are struck simultaneously, producing frequencies of 349 Hz, 370 Hz, and 392 Hz, we can determine the beat frequencies produced by this combination. The beat frequency is found by taking the absolute difference between two frequencies.
Thus, between F (349 Hz) and F-sharp (370 Hz), we would have a beat frequency of 370 Hz - 349 Hz = 21 Hz. Similarly, between F-sharp (370 Hz) and G (392 Hz), the beat frequency would be 392 Hz - 370 Hz = 22 Hz.