A string fixed at both ends is vibrating in one of its harmonics. If we now increase only the frequency at which the string is vibrating, which of the following characteristics do we also
Increase? (There could be more than one correct choice.)
A) the amplitude of the traveling waves on the string
B) the wavelength of the traveling waves on the string
C) the period of the traveling waves on the string
D) the speed of the traveling waves on the string
E) none of the above

Question

Quizplus · Accepted Answer

Increasing the frequency of vibration in a string fixed at both ends (assuming the tension and linear density of the string remain constant) does not inherently increase the amplitude, wavelength, period, or speed of the traveling waves. The speed of wave propagation in a string is determined by the tension and mass per unit length of the string, not by the frequency. The wavelength is inversely related to the frequency for a given wave speed, but increasing the frequency does not increase the wavelength; it decreases it. The amplitude of the wave is independent of the frequency and depends on the energy put into the system. The period is the inverse of frequency, so increasing the frequency decreases the period, not increases it.

A String Fixed at Both Ends Is Vibrating in One