A string is fastened at both ends. If you pluck the string in the middle, you will hear a note withQuestion 9Select one:A.the fundamental frequency and the odd harmonics only.B.the fundamental frequency and the even harmonics only.C.the fundamental frequency and the second harmonic only.D.the fundamental frequency and all the harmonics.E.the fundamental frequency only.
Question
A string is fastened at both ends. If you pluck the string in the middle, you will hear a note withQuestion 9Select one:A.the fundamental frequency and the odd harmonics only.B.the fundamental frequency and the even harmonics only.C.the fundamental frequency and the second harmonic only.D.the fundamental frequency and all the harmonics.E.the fundamental frequency only.
Solution
The correct answer is A. the fundamental frequency and the odd harmonics only.
Here's why:
When a string is plucked in the middle, it vibrates in a pattern that produces the fundamental frequency (also known as the first harmonic) and the odd harmonics.
The fundamental frequency is the lowest frequency of vibration of a standing wave. For a string of length L that is fixed at both ends, the fundamental frequency occurs when the wavelength of the wave is 2L.
Harmonics are integer multiples of the fundamental
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