Two musicians are comparing their trombones. The first produces a tone that is k

Question

Two musicians are comparing their trombones. The first produces a tone that is known to be 438 Hz. When the two trombones play together they produce 6 beats every 2 seconds. Which statement is true about the second trombone? It is producing a 444-Hz sound, and could be producing no other sound frequency. It is producing either a 436-Hz sound or a 440-Hz sound. It is producing either a 435-Hz sound or a 441-Hz sound. It is producing either a 432-Hz sound or a 444-Hz sound. It is producing a 441-Hz sound, and could be producing no other sound frequency.

Explanation / Answer

8 beats every second means the beat frequency is 8 Hz. The beat frequency is the difference between the two frequencies, so that means the 2nd clarinet is 8 Hz different from the first 443 Hz frequency. So you know the 2nd frequency is 8 Hz away from 443 Hz, and that it's a higher frequency (given).

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