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Physics - Sound Wave Question with Solution | TestHub

PhysicsSound WaveWavesMedium2 minQB

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A closed organ pipe of length $L$ and an open organ pipe contain gases of densities $ρ_{1}$ and $ρ_{2}$ 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 organ pipe is:

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Answer:

Solution:

$v = B / ρ$ with equal $B$ . Closed pipe first overtone: $f = 3 v_{1} /4 L$ . Open pipe first overtone: $f = v_{2} / L'$ . Equating, $L' = \frac{4 L v _{2}}{3 v _{1}} = \frac{4 L}{3} ρ_{1} / ρ_{2}$ .

Stream:JEESubject:PhysicsTopic:Sound WaveSubtopic:Waves

⏱ 2mℹ️ Source: QB

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