Two adjacent frequencies of longitudinal standing waves in a half-open pipe are 1500 Hz and 1620 Hz.What is the fundamental frequency of the longitudinal standing waves in this half-open pipe?
A)60 Hz
B)120 Hz
C)180 Hz
D)240 Hz

Question

Quizplus · Accepted Answer

The fundamental frequency of a half-open pipe is given by f = v/4L, where v is the speed of sound and L is the length of the pipe. The difference between two adjacent frequencies is given by f2 - f1 = v/2L. Therefore, the fundamental frequency is f1 = (f2 - f1)/2 = (1620 Hz - 1500 Hz)/2 = 60 Hz.

Two Adjacent Frequencies of Longitudinal Standing Waves in a Half-Open