Question

If the speed of sound in air is $330m/s$, then find the number of tones present in an open organ pipe of length $1m$ whose frequency is $\le 1000Hz$.

• A. 2
• B. 4
• C. 8
• D. 6

Answer 1

Answer: (D)

Given, speed of sound in air, $v=330m/s$
Length of organ pipe, $L=1m$ and frequency,
$v=1000Hz$
For an open organ pipe,
Fundamental frequency, $v_1=\frac{v}{2L}$
$=\frac{330}{2\times 1}=165Hz$
$\therefore$ Number of tones present in the open organ pipe
$=\frac{v}{v_1}=\frac{1000}{165}=6.06\simeq 6$