Two musicians are comparing their trombones. The first produces a tone that is known to be 438 Hz. When the two trombones play t
1 answer:
Answer:
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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