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Question

The fundamental frequency of a closed organ pipe of length 20 cm is equal to the second overtone of an organ pipe open at both the ends. The length of organ pipe open at both the ends is :


A

140 cm

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B

80 cm

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C

100 cm

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D

120 cm

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Solution

The correct option is D

120 cm


For closed organ pipe fundamental frequency

n1=v4l1

For open organ pipe fundamental frequency

n2=v2l2

The second overtone is

n12=3.n2=3v2l2
n12=n1
3v2l2=v4l1l2=6l1=6×20=120cm.


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