if the fundamental frequency of open organ pipe is 300. calculate second overtone of closed pipe.
Answers
The fundamental frequency of an open organ pipe is 300 Hz. The first overtone of the pipe has same frequency as first overtone of a closed organ pipe. If speed of sound is 330 m/s, then the length of the closed organ pipe is. A .
Answer: The length of the closed organ pipe is 41.25 cm.
Explanation:
Given that,
Fundamental frequency of an open organ pipe = 300 hz
First overtone of open pipe = \dfrac{v}{L}
L
v
First overtone of close pipe = \dfrac{3v}{4L}
4L
3v
Speed of sound v = 330 m/s
We know that, the fundamental frequency
f = \dfrac{v}{2l} = 300 hzf=
2l
v
=300hz
First overtone of open pipe
\dfrac{v}{L} = 600 hz
L
v
=600hz
If the first overtone of an open organ pipe = first overtone of a closed organ pipe
600 = \dfrac{3\times330}{4\times L}600=
4×L
3×330
Therefore, the length of the closed organ pipe
L = \dfrac{3\times330\ m/s}{4\times 600\ s_{-1}}L=
4×600 s
−1
3×330 m/s
L = 0.4125\ mL=0.4125 m
L = 41.25\ cmL=41.25 cm
Hence, the length of the closed organ pipe is 41.25 cm.
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if the fundamental frequency of open organ pipe is 300. calculate second overtone of closed pipe is