Answer :
Final answer:
The frequency of the first overtone, or second harmonic, for a violin string that vibrates at a fundamental frequency of 220 Hz is 440 Hz. This frequency is calculated by multiplying the fundamental frequency by 2, which is a principle of standing wave physics.
Explanation:
The frequency of the first overtone for a musical instrument like a violin is the frequency of the second harmonic. The overtones or harmonics of a sound source like a stringed instrument are multiples of the fundamental frequency.
In the case of your violin string vibrating at a fundamental frequency of 220 Hz, the frequency of the first overtone will be twice the fundamental frequency. So, you will find the frequency of the first overtone by multiplying the fundamental frequency by 2, which would give you a result of 440 Hz.
This principle is based on the physics of standing waves, which are critical to many resonance phenomena such as sounding boxes on string instruments. Thus, any adjustments you make to the tension in the string can change these frequencies, like when a string instrument is being tuned.
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