If the fundamental frequency of a guitar string is 220 Hz, the frequency of the second harmonic is

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BlackTom AI · Accepted Answer

The question asks for the frequency of the second harmonic given a fundamental frequency of 220 Hz. 
Option a (220 Hz) would be the fundamental frequency itself, not the second harmonic, since the fundamental corresponds to n = 1. 
Option b (880 Hz) would be the fourth harmonic, because 4 × 220 Hz = 880 Hz, representing the mode where the string vibrates four times per cycle. 
Option c (440 Hz) equals 2 × 220 Hz, which is the second harmonic (n = 2), the frequency you get when the string vibrates in two segments. This is the standard harmonic relationship for a string: harmonic frequency = n × fundamental. 
Option d (110 Hz) is half of the fundamental, which would imply a different mode or a different physical situation, not a harmonic of the fundamental in this context. 
In summary, the second harmonic doubles the fundamental frequency, giving 440 Hz, which matches the n = 2 mode.

If the fundamental frequency of a guitar string is 220 Hz, the frequency of the second harmonic is

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