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Questions  

A closed organ pipe and an open organ pipe are tuned to the same fundamental frequency. What is the ratio of lengths

a
1 : 2
b
2 : 1
c
2 : 3
d
4 : 3

detailed solution

Correct option is A

Let l1 and l2 be the length’s of closed and open pipes respectively. (Neglecting end correction) l1=λ14⇒λ1=4l1 and l2=λ22⇒λ2=2l2 Given n1=n2 so vλ1=vλ2⇒v4l1=v2l2=l1l2=12

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A tube of certain diameter and of length 48 cm is open at both ends. Its fundamental frequency of resonance is found to be 320 Hz. The velocity of sound in air is 320 m/s. One end of the tube is now closed, considering the effect of end correction, calculate the lowest frequency of resonance for the tube (in Hz). 


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