The fundamental frequency of a pipe that has one end closed is 256 Hz.When both ends of the same pipe are opened,the fundamental frequency is
A)64.0 Hz
B)128 Hz
C)256 Hz
D)512 Hz
E)1.02 kHz

Question

Quizplus · Accepted Answer

The fundamental frequency of a pipe that has one end closed is given by:$$f_1 = \frac{v}{4L}$$where:* $f_1$ is the fundamental frequency* $v$ is the speed of sound in the pipe* $L$ is the length of the pipeWhen both ends of the pipe are opened, the fundamental frequency is given by:$$f_2 = \frac{v}{2L}$$Therefore, the fundamental frequency when both ends of the pipe are opened is twice the fundamental frequency when one end is closed. In this case, the fundamental frequency when one end is closed is 256 Hz, so the fundamental frequency when both ends are opened is 2 * 256 Hz = 512 Hz.The correct answer is B: 128 Hz.

The Fundamental Frequency of a Pipe That Has One End