One of the harmonics of a string fixed at both ends has a frequency of 52.2 Hz and the next higher harmonic has a frequency of 60.9 Hz. What is the fundamental frequency of the string?
A) 4.35 Hz
B) 8.7 Hz
C) 30.4 Hz
D) 17.4 Hz
E) 26.1 Hz

Question

One of the harmonics of a string fixed at both ends has a frequency of  52.2 Hz and the next higher harmonic has a frequency of  60.9 Hz. What is the fundamental frequency of the string?
A)  4.35 Hz
B)  8.7 Hz
C)  30.4 Hz
D)  17.4 Hz
E)  26.1 Hz

Quizplus · Accepted Answer

The difference between any two consecutive harmonics of a string fixed at both ends is equal to the fundamental frequency. The difference between 60.9 Hz and 52.2 Hz is 8.7 Hz, which is the fundamental frequency of the string.

One of the Harmonics of a String Fixed at Both