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Physics

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If a violin string vibrates at 440 Hz as its fundamental frequency, what are the frequencies of the first four harmonics?

Answer :

abidemiokin abidemiokin

Today at 11:23 AM

The first four harmonics are 880Hz, 1320Hz, 1760Hz and 2200Hz

Fundamental frequency

The fundamental frequency of string fo is 440 Hz

The first four harmonics are expressed as:

f2 = 2fo
f3 = 3fo
f4 = 4fo

Substitute the given parameters

f2 = 2(440) = 880 Hz

f3 = 3(440) = 1320Hz

f4 = 4(440) = 1760Hz

f5 = 5(440) = 2200Hz

Hence the first four harmonics are 880Hz, 1320Hz, 1760Hz and 2200Hz

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