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Questions  

An organ pipe P1 closed at one end vibrating in its first overtone and another pipe P2 open at both ends vibrating in its third overtone are in resonance with a given tuning fork. The ratio of lengths of P1 and P2 is 

a
1 : 2
b
1 : 3
c
3 : 8
d
3 : 4

detailed solution

Correct option is C

First overtone of closed organ pipe n1=3v4l1 Third overtone of open organ pipe n2=4v2L2n1=n2  (Given)  ⇒3v4L1=4v2L2⇒L1L2=38

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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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