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Questions  

An organ pipe open at one end is vibrating in first overtone and is in resonance with another pipe open at both ends and vibrating in third harmonic. The ratio of length of two pipes is 

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

detailed solution

Correct option is A

In first overtone of organ pipe open at one end,end, nc=3v4lc         .....(i)Third harmonic or second overtone of organ pipe open at both end,  n0=3v2l0        .....(ii)given  nc=no⇒    3v4lc=3v02l0   ⇒  lclo=12.

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Similar Questions

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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