If speed of sound in air in $330 \mathrm{~m} \mathrm{~s}^{-1}$, then find the number of overtones present in…
If speed of sound in air in $330 \mathrm{~m} \mathrm{~s}^{-1}$, then find the number of overtones present in an open organ pipe of length $1 \mathrm{~m}$ whose frequency $f \leq 1000$
$2$
$4$
$8$
$6$
Solution
Fundamental frequency,
$\begin{aligned} & v=\frac{v}{2 \ell}=\frac{330}{2 \times 1}=165 \mathrm{~Hz} \\ & \therefore \text { Number of overtones allowed }=\frac{1000}{165}=6\end{aligned}$