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------------------------------------------------ What beat frequencies will be present:

(a) If the musical notes A and C are played together (frequencies of 220 Hz and 264 Hz)?

(b) If D and F are played together (frequencies of 297 Hz and 352 Hz)?

(c) If all four are played together?

Question

High School

Answer :

reethu12 reethu12 · Answer 1 · 2023-10-29T00:11:05-04:00

When two musical notes are played together, they will produce beat frequencies.

Beat frequency is the difference between two frequencies.

Let us discuss beat frequencies that will be present if A and C, D and F, and all four musical notes are played together.

Frequencies of A and C are 220 and 264 Hz, respectively.

The beat frequency can be calculated as follows:

Beat frequency = Difference between two frequencies = 264 - 220 = 44 Hz

Frequencies of D and F are 297 and 352 Hz, respectively.

Beat frequency = 352 - 297 = 55 Hz

Therefore, the beat frequency present when D and F are played together is 55 Hz.

The musical notes A, C, D, and F produce three different beat frequencies when played together.

Thus, the beat frequencies will be present in the mixture of all four are as follows:

First, the beat frequency produced by A and C is 44 Hz.

Second, the beat frequency produced by D and F is 55 Hz.

Finally, the beat frequency produced by A and C and D and F is the difference between

(264 - 220) and (352 - 297) = 44 + 55 = 99 Hz.

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