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.

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

Explanation:

When two sound of slightly different frequencies interfere constructively with each other, the resultant wave has a frequency (called beat frequency) which is equal to the absolute value of the difference between the individual frequencies:

(1)

In this problem, we know that:

- The frequency of the first trombone is

- 6 beats are heard every 2 seconds, so the beat frequency is

If we insert this data into eq.(1), we have two possible solutions for the frequency of the second trombone:

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