A closed organ pipe and an open organ pipe are tuned to the same fundamental frequency. The ratio of their length is

Question

Dr. Abubacker · Accepted Answer

(d) Fundamental frequency of close pipe,
$v_{1} = \frac{v}{4l_{1}}$
Fundamental frequency of open pipe,
$v_{2} = \frac{v}{2l_{2}}$
But $v_{1} = v_{2}$
$	herefore\frac{l_{1}}{l_{2}} = \frac{1}{2}$

Q. A closed organ pipe and an open organ pipe are tuned to the same fundamental frequency. The ratio of their length is

Explanation

Reviewed by Dr. Abubacker

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