An open organ pipe has fundamental frequency of 300Hz. 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 =330m/s]
A
45cm
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B
41cm
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C
42cm
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D
48cm
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Solution
The correct option is B41cm Fundamental frequency of open organ pipe, fo=300Hz
So, its first overtone(n=2), f1=2fo=2×300=600Hz
Now, first overtone of closed organ pipe (n=3), f′1=3v4l ⇒600=3×3304l ⇒l=0.41m=41cm