Two adjacent frequencies of transverse standing waves on a string held fixed at both ends are 1440 Hz and 1560 Hz.What is the fundamental frequency of the transverse standing waves on this string?
A)60 Hz
B)120 Hz
C)180 Hz
D)240 Hz

Question

Quizplus · Accepted Answer

The difference between the two adjacent frequencies is 120 Hz (1560 Hz - 1440 Hz). This difference corresponds to the frequency of the first overtone or the second harmonic. Therefore, the fundamental frequency must be half of this difference or 60 Hz. Thus, the answer is B) 120 Hz, which is twice the frequency of the fundamental frequency.

Two Adjacent Frequencies of Transverse Standing Waves on a String