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Question

An organ pipe of length L is open at one end and closed at the other. What are the wavelengths corresponding to the three lowest frequencies that can be produced with this pipe?

A
4L,2L,L
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B
2L,L,L2
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C
2L,L,2L3
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D
4L,4L3,4L5
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Solution

The correct option is D 4L,4L3,4L5
For nth over tone
nλ2+λ4=L
(2n+1)λ4=L
λ=4L2n+1
As n increases frequency increases.
3 wavelengths, n=0,n=1,n=2
λ=4L,4L3,4L5

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