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?

a. it is producing a 444-hz sound, and could be producing no other sound frequency.
b. it is producing either a 436-hz sound or a 440-hz sound.
c. it is producing either a 435-hz sound or a 441-hz sound.
d. it is producing either a 432-hz sound or a 444-hz sound.
e. it is producing a 441-hz sound, and could be producing no other sound frequency.

c.It is producing either a 435-Hz sound or a 441-Hz sound

Explanation:

Beat is a phenomenon of interference that occurs when two waves with slightly different frequency interfere with each other. When this occurs, the frequency of the beats is given by

(1)

where f1, f2 are the frequencies of the two waves.

In this problem, we have 6 beats every 2 seconds, so the beat frequency is

We also know the frequency of one of the two sounds,

So according to eq.(1), this means that the sound of the second trombone can have 2 different frequencies:

+15-35=-20

going in opposite directions

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