Two transverse standing waves are shown in the drawing. The strings have the same tension and length, but the bottom string is more massive. Which standing wave, if either, is vibrating at the higher frequency? (a) The top standing wave has the higher frequency, because the traveling waves have a smaller speed due to the smaller mass of the string. (b) The top standing wave has the higher frequency, because the traveling waves have a larger speed due to the smaller mass of the string. (c) Both standing waves have the same frequency, because the frequency of vibration does not depend on the mass of the string. (d) The bottom standing wave has the higher frequency, because the traveling waves have a smaller speed due to the larger mass of the string. (e) The bottom standing wave has the higher frequency, because the traveling waves have a larger speed due to the larger mass of the string.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter13: Mechanical Waves
Section13.7: The Doppler Eff Ect
Problem 13.7QQ
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Two transverse standing waves are shown in the drawing. The strings have the same tension and length, but the bottom string is more massive. Which standing wave, if either, is vibrating at the higher frequency? (a) The top standing wave has the higher frequency, because the traveling waves have a smaller speed due to the smaller mass of the string. (b) The top standing wave has the higher frequency, because the traveling waves have a larger speed due to the smaller mass of the string. (c) Both standing waves have the same frequency, because the frequency of vibration does not depend on the mass of the string. (d) The bottom standing wave has the higher frequency, because the traveling waves have a smaller speed due to the larger mass of the string. (e) The bottom standing wave has the higher frequency, because the traveling waves have a larger speed due to the larger mass of the string.

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