A pipe open at both the ends produce a note of fundamental frequency $v_{1}$ When the pipe is kept with $\frac{3}{4}$th of its length in water, it produces a note of fundamental frequency $v_{2}.$ The ration of $\frac{v_{1}}{v_{2}}$ is

Question

Dr. Abubacker · Accepted Answer

(d) Accordingly
$v_{1} = \frac{v}{2l}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ldots(i)$
And
$v_{2} = \frac{v}{4l/4\ } = \frac{v}{l}\ \ \ \ \ \ \ldots(ii)$
Hence,
$\frac{v_{1}}{v_{2}} = \frac{1}{2}$

Q. A pipe open at both the ends produce a note of fundamental frequency $v_{1}$ When the pipe is kept with $\frac{3}{4}$th of its length in water, it produces a note of fundamental frequency $v_{2}.$ The ration of $\frac{v_{1}}{v_{2}}$ is

Explanation

Reviewed by Dr. Abubacker

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