If a string fixed at both ends resonates in its fundamental mode with a frequency of 150 Hz, at which of the following frequencies will it not resonate? (There could be more than one correct
Choice.)
A) 450 Hz
B) 75 Hz
C) 500 Hz
D) 300 Hz
E) 600 Hz

Question

Quizplus · Accepted Answer

A string fixed at both ends resonates at its fundamental frequency and its harmonics, which are integer multiples of the fundamental frequency. The fundamental frequency is 150 Hz, so the harmonics are 150 Hz, 300 Hz, 450 Hz, 600 Hz, etc. 75 Hz is not a multiple of 150 Hz, and 500 Hz is also not a multiple of 150 Hz, so the string will not resonate at these frequencies.

If a String Fixed at Both Ends Resonates in Its