Answer :
Final answer:
The frequency of the 5th overtone of a violin string that vibrates at a fundamental frequency of 440 Hz is 2640 Hz.
Explanation:
The fundamental frequency of a vibrating string, such as a violin string, is its lowest frequency of vibration. In this case, the fundamental frequency is 440 Hz. The overtone frequencies are simply multiples of the fundamental frequency. The first overtone is double the fundamental frequency, the second overtone is triple, and so on.
When asked for the '5th overtone', we would multiply the fundamental frequency by 6 (as the fundamental is considered the zeroth harmonic or overtone). So, for a violin string with a fundamental frequency of 440 Hz, the frequency of the 5th overtone would be 6 times the fundamental: 440 Hz * 6 = 2640 Hz.
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