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Question

In a long cylindrical tube the wave level is adjusted and the air column above it is made to vibrate in unison with a vibrating tuning fork kept at the open end. Maximum sound is heard when the air column lengths are equal to

A
λ4 , 3λ4
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B
λ2 , 3λ2
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C
λ,3λ
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D
λ , 3λ4
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Solution

The correct option is A λ4 , 3λ4
So in general the formula for the resonance length will be:
(2n1)λ4, where n=1,2,3..
First booming sound indicates that at that length, l1, of an air column in organ pipes with one end closed is in resonance with the given frequency.
And that length is,
l1=λ/4
The next resonance length will be :
l2=3λ/4

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