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Question

An open organ pipe has fundamental frequency of 300 Hz. The first overtone of this organ pipe is same as the first overtone of a closed organ pipe. Find the length of the closed organ pipe?
[speed of sound in air =330 m/s]

A
45 cm
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B
41 cm
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C
42 cm
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D
48 cm
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Solution

The correct option is B 41 cm
Fundamental frequency of open organ pipe,
fo=300 Hz
So, its first overtone(n=2),
f1=2fo=2×300=600 Hz
Now, first overtone of closed organ pipe (n=3),
f1=3v4l
600=3×3304l
l=0.41 m=41 cm

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