Question 82 of 142

In an experiment with a closed organ pipe, it is filled with water by $\left(\frac{1}{5}\right)$ th of its volume. The frequency of the fundamental note will change by

A$25 \%$B$20 \%$C$-20 \%$D$-25 \%$

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Answer: (A) $25 \%$

$\lambda_1=4 \ell$
$\mathrm{f}_1=\frac{\mathrm{v}}{4 \ell}$
$\begin{aligned} & \lambda_2=\frac{16 \ell}{5} \\ & \mathrm{f}_2=\frac{5 \mathrm{~V}}{16 \ell} \\ & \frac{\Delta \mathrm{f}}{\mathrm{f}}=\frac{\frac{\mathrm{V}}{\ell}\left(\frac{1}{16}\right)}{\frac{\mathrm{V}}{4 \ell}} \times 100=25 \%\end{aligned}$

JEE Main Physics practice question on Waves (Organ Pipe (Vibration of Air Column)), with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.