The ratio of the fundamental frequency (first harmonic)of an open pipe to that of a closed pipe of the same length is
A)2:1
B)7:8
C)4:5
D)3:2
E)1:2

Question

Quizplus · Accepted Answer

The fundamental frequency of an open pipe is given by $f = \frac{v}{2L}$, where $v$ is the speed of sound and $L$ is the length of the pipe. For a closed pipe, the fundamental frequency is $f = \frac{v}{4L}$. Therefore, the ratio of the fundamental frequency of an open pipe to that of a closed pipe is $\frac{\frac{v}{2L}}{\frac{v}{4L}} = 2:1$.

The Ratio of the Fundamental Frequency (First Harmonic)of an Open