For all the allowed vibration(s) (wavelength(s)) of a plucked guitar string, what is the correct relationship between the length of the string, L, and the wavelength, ?
A) L = /2
B) L =
C) L = n /2 where n is a positive integer
D) L = n where n is a positive integer
E) L = 1/

Question

For all the allowed vibration(s) (wavelength(s)) of a plucked guitar string, what is the correct relationship between the length of the string, L, and the wavelength,  ?
A) L = /2 
B) L = 
C) L = n /2 where n is a positive integer 
D) L = n where n is a positive integer 
E) L = 1/

Quizplus · Accepted Answer

The correct relationship between the length of the string and the wavelength of the allowed vibration(s) is given by L = n λ/2 where n is a positive integer. This is known as the fundamental frequency and its harmonics. This relationship is a consequence of the wave pattern that can be produced on the string when it is plucked. The fundamental frequency gives the lowest possible pitch for the string, and the higher harmonics give the string its characteristic tone quality.

For All the Allowed Vibration(s) (Wavelength(s)) of a Plucked Guitar