The ratio of frequencies of fundamental harmonic produced by an open pipe to that of closed pipe having the sa

Question

The ratio of frequencies of fundamental harmonic produced by an open pipe to that of closed pipe having the same length is

Accepted Answer

Fundamental frequency of an open pipe is $f_o = \frac{v}{2L}$. Fundamental frequency of a closed pipe is $f_c = \frac{v}{4L}$. The ratio $f_o / f_c = (v/2L) / (v/4L) = 4/2 = 2/1$.

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