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Question

The fundamental frequency of a vibrating organ pipe is 200 Hz

A
The first overtone is 400 Hz
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B
The first overtone may be 400 Hz
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C
The first overtone may be 600 Hz
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D
600 Hz is an second overtone
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Solution

The correct options are
B The first overtone may be 400 Hz
C The first overtone may be 600 Hz
D 600 Hz is an second overtone
If the pipe is closed, the first overtone may have frequency =3v1=3×200=600 Hz. If the pipe is open, the first overtone may have frequency =2v1=2×200=400 Hz. The second overtone may have frequency , v=3v1=3×200=600 Hz.


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