High School

When played in a certain manner, the lowest resonant frequency of a certain violin string is 520 Hz.

What is the frequency of the:
(a) second harmonic of the string?
(b) third harmonic of the string?

Answer :

Final answer:

The second and third harmonics of a wave are respectively 2 times and 3 times the fundamental frequency. Thus for a violin string with a fundamental frequency of 520 Hz, the second harmonic is 1040 Hz and the third harmonic is 1560 Hz.

Explanation:

In musical acoustics, a harmonic of a wave is a component frequency of the signal that is an integer multiple of the fundamental frequency. If the fundamental frequency, or the first harmonic, is 520 Hz, then the second harmonic would be 2 times the first harmonic and the third harmonic would be 3 times the first harmonic.

Thus, (a) the frequency of the second harmonic of the violin string is 2 x 520 Hz = 1040 Hz.

And, (b) the frequency of the third harmonic of the violin string is 3 x 520 Hz = 1560 Hz.

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