Which of the following statements are TRUE of the harmonics and standing wave patterns in guitar strings? Identify all that apply. The fundamental frequency of a guitar string is the highest frequency at which the string vibrates. The fundamental frequency of a guitar string corresponds to the standing wave pattern in which there is a complete wavelength within the length of the string. The wavelength for the fundamental frequency of a guitar string is 2.0 m. The wavelength for the second harmonic played by a guitar string is two times the wavelength of the first harmonic. The standing wave pattern for the fundamental played by a guitar string is characterized by the pattern with the longest possible wavelength. If the fundamental frequency of a guitar string is 200 Hz, then the frequency of the second harmonic is 400 Hz. If the frequency of the fifth harmonic of a guitar string is 1200 Hz, then the fundamental frequency of the same string is 6000 Hz. As the frequency of a standing wave pattern is tripled, its wavelength is tripled. If the speed of sound in a guitar string is 300 m/s and the length of the string is 0.60 m, then the fundamental frequency will be 180 Hz. As the tension of a guitar string is increased, the fundamental frequency produced by that string is decreased. As the tension of a guitar string is increased by a factor of 2, the fundamental frequency produced by that string is decreased by a factor of 2. As the linear density of a guitar string is increased, the fundamental frequency produced by the string is decreased. As the linear density of a guitar string is increased by a factor 4, the fundamental frequency produced by the string is decreased by a factor of 2.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Which of the following statements are TRUE of the harmonics and standing wave patterns in guitar strings? Identify all that apply.

The fundamental frequency of a guitar string is the highest frequency at which the string vibrates.
The fundamental frequency of a guitar string corresponds to the standing wave pattern in which there is a complete wavelength within the length of the string.
The wavelength for the fundamental frequency of a guitar string is 2.0 m.
The wavelength for the second harmonic played by a guitar string is two times the wavelength of the first harmonic.
The standing wave pattern for the fundamental played by a guitar string is characterized by the pattern with the longest possible wavelength.
If the fundamental frequency of a guitar string is 200 Hz, then the frequency of the second harmonic is 400 Hz.
If the frequency of the fifth harmonic of a guitar string is 1200 Hz, then the fundamental frequency of the same string is 6000 Hz.
As the frequency of a standing wave pattern is tripled, its wavelength is tripled.
If the speed of sound in a guitar string is 300 m/s and the length of the string is 0.60 m, then the fundamental frequency will be 180 Hz.
As the tension of a guitar string is increased, the fundamental frequency produced by that string is decreased.
As the tension of a guitar string is increased by a factor of 2, the fundamental frequency produced by that string is decreased by a factor of 2.
As the linear density of a guitar string is increased, the fundamental frequency produced by the string is decreased.
As the linear density of a guitar string is increased by a factor 4, the fundamental frequency produced by the string is decreased by a factor of 2.

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