High School

if a violin string vibrates at 201 hz as its fundamental frequency, what are the frequencies of the first four harmonics?

Answer :

The frequency of the first four harmonics of the violing string is 201 Hz, 402 Hz, 603 Hz, and 804 Hz.

The fundamental frequency of the violin string = 201 Hz

The formula to find the n number of harmonics of the violin string is

Fₙ = n x f

where n is the number of the harmonics

f is the fundamental frequency.

Let us substitute the known values in the above equation, we get

For the first harmonic, F₁ = 1 x 201

= 201 Hz

For second harmonics, F₂ = 2 x 201

= 402 Hz

For third harmonics, F₃ = 3 x 201

= 603 Hz

For fourth harmonics, F₄ = 4 x 201

= 804 Hz

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