Consider two pipes of the same length: one pipe is open at both ends and the other pipe is closed on one end but open at the other end.If the fundamental frequency of the totally open pipe is 300 Hz,what is the fundamental frequency of the other pipe?
A)150 Hz
B)300 Hz
C)450 Hz
D)600 Hz

Question

Quizplus · Accepted Answer

The fundamental frequency of a pipe open at both ends is given by $f = \frac{v}{2L}$, where $v$ is the speed of sound and $L$ is the length of the pipe. For a pipe closed at one end, the fundamental frequency is given by $f = \frac{v}{4L}$, which is half the frequency of the open pipe because the closed pipe supports only odd harmonics. Therefore, if the open pipe has a fundamental frequency of 300 Hz, the closed pipe's fundamental frequency will be half of that, which is 150 Hz.

Consider Two Pipes of the Same Length: One Pipe Is