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Answer :
The first three harmonics of a note produced on a 31.0cm long violin string are : 442 Hz, 882 Hz, 1330 Hz.
What is harmonics?
A harmonic is a wave with frequency that is positive integer multiple of the fundamental frequency that is the frequency of the original periodic signal, such as a sinusoidal wave.
Given; length of the string = 31 cm
and speed of waves is 274.4 M/s or 2740 cm/s
So, wavelengths are
62 cm
31 cm and
62 / 3 = 20.67 cm
The 1st, 2nd and 3rd harmonics are
- 27440/ 62 = 442.6 = 442 Hz
- 27440/31 = 885.2 = 882 Hz
- 27440 / 20.67 = 1328 = 1330 Hz
To know more about harmonics, refer
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