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 either a 432-Hz sound or a 444-Hz sound. (b) It is producing either a 436-Hz sound or a 440-Hz sound. (c) It is produCing a 444-Hz sound, and could be producing no other sound frequency. (d) It is producing either a 435-Hz sound or a 441-Hz sound. (e) It is producing a 44l-Hz sound and could be producing no other sound frequency.

trokusr

trokusr

Answered question

2022-08-13

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 either a 432-Hz sound or a 444-Hz sound. (b) It is producing either a 436-Hz sound or a 440-Hz sound. (c) It is produCing a 444-Hz sound, and could be producing no other sound frequency. (d) It is producing either a 435-Hz sound or a 441-Hz sound. (e) It is producing a 44l-Hz sound and could be producing no other sound frequency.

Answer & Explanation

Hamza Conrad

Hamza Conrad

Beginner2022-08-14Added 20 answers

The trombones produce 6 beats every 2 seconds, so the beat frequency is 5 Hz. The second trombone can be producing a sound whose frequency is either 438 Hz - 3 Hz = 435 Hz or 438 Hz + 3 Hz = 441 Hz.
Result:
(d)
Landen Miller

Landen Miller

Beginner2022-08-15Added 4 answers

The beat frequency of two oscillations is:
f b e a t s = | f 1 f 2 |
So, the second trombone produces a frequency of:
f 2 = f 1 ± f b e a t s = 438 ± ( 6 2 ) = either 435Hz or 441 Hz
The correct choice is (d)
Result:
(d)

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