Thank you for reporting, we will resolve it shortly
Q.
If the speed of sound in air is $330\, m / s$, then find the number of tones present in an open organ pipe of length $1 m$ whose frequency is $\leq 1000 \,Hz$.
Waves
Solution:
Given, speed of sound in air, $v=330 m / s$
Length of organ pipe, $L=1 m$ and frequency,
$v=1000 Hz$
For an open organ pipe,
Fundamental frequency, $v_{1}=\frac{v}{2 L}$
$=\frac{330}{2 \times 1}=165 Hz$
$\therefore$ Number of tones present in the open organ pipe
$=\frac{v}{v_{1}}=\frac{1000}{165}=6.06 \simeq 6$