In an experiment with a closed organ pipe, it is filled with water by $\left(\frac{1}{5}\right)$ th of its…
- $25 \%$
- $20 \%$
- $-20 \%$
- $-25 \%$
Solution

$\lambda_1=4 \ell$
$\mathrm{f}_1=\frac{\mathrm{v}}{4 \ell}$

$\begin{aligned} & \lambda_2=\frac{16 \ell}{5} \\ & \mathrm{f}_2=\frac{5 \mathrm{~V}}{16 \ell} \\ & \frac{\Delta \mathrm{f}}{\mathrm{f}}=\frac{\frac{\mathrm{V}}{\ell}\left(\frac{1}{16}\right)}{\frac{\mathrm{V}}{4 \ell}} \times 100=25 \%\end{aligned}$
Asked in: JEE Main 2025 (04 Apr Shift 1)