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PhysicsSound WaveStanding waveHard2 minPYQ_2021
PhysicsHardnumerical

A closed organ pipe of length L and an open organ pipe contain gases of densities ρ1 and ρ2 respectively. The compressibility of gases are equal in both the pipes. Both the pipes are vibrating in their first overtone with same frequency. The length of the open pipe is x3Lρ1ρ2, where x is _______.  

(Round off to the Nearest Integer)

Question diagram: A closed organ pipe of length L and an open organ pipe conta
Answer:
4.00
Solution:

fc=f0

3VC4L=2V02L'

3VC4L=V0L'

L'=4L3V0VC=4L3B.ρ1ρ2.B   (B is bulk modulus)

=4L3ρ1ρ2

x=4

Stream:JEESubject:PhysicsTopic:Sound WaveSubtopic:Standing wave
2mℹ️ Source: PYQ_2021

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