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Answer :
Final answer:
The second and third harmonic of a violin string with a fundamental frequency of 520 Hz are 1040 Hz and 1560 Hz respectively.
Explanation:
The question is asking for the second and third harmonic of a violin string with a lowest resonant frequency, also known as the fundamental frequency, of 520 Hz. Harmonics of a string correspond to the resonant frequencies when the string vibrates in integral multiples of the fundamental frequency. This means that each harmonic frequency is simply an integer multiple of the first or fundamental frequency.
The second harmonic, also known as the first overtone, is twice the fundamental frequency. Therefore, (a) The second harmonic is 2 * 520 Hz = 1040 Hz.
The third harmonic, or the second overtone, is three times the fundamental frequency. Therefore, (b) The third harmonic is 3 * 520 Hz = 1560 Hz.
The lowest resonant frequency of a violin string is known as the fundamental frequency. In this case, the fundamental frequency is 520 Hz. The second harmonic of a string is twice the frequency of the fundamental frequency, so the frequency of the second harmonic is 2 * 520 Hz = 1040 Hz. Similarly, the third harmonic is three times the frequency of the fundamental frequency, so the frequency of the third harmonic is 3 * 520 Hz = 1560 Hz.
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