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When played in a certain manner, the lowest resonant frequency of a certain violin string is concert A (440 Hz). What is the frequency of the (a) second and (b) third harmonic of the string?

Answer :

Final answer:

The second and third harmonics of a violin string with a fundamental frequency of 440 Hz are 880 Hz and 1320 Hz respectively. These are calculated by multiplying the fundamental frequency by the harmonic number.

Explanation:

In physics, the harmonic frequency can be calculated using the formula for harmonic series. The second and third harmonics, also known as overtones, are simply multiples of the fundamental frequency (the lowest resonating frequency, in this case 440 Hz).

(a) For the second harmonic (the first overtone), the frequency is twice the fundamental frequency, so the frequency is 2 * 440 Hz = 880 Hz.

(b) For the third harmonic (the second overtone), the frequency is three times the fundamental frequency, so the frequency is 3 * 440 Hz = 1320 Hz.

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