a resonance pipe is open at both ends and 30cm of its length is in resonance with an external frequency 1.1kHz. if the speed of sound is 330m/s which harmonic is in resonance ?

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a resonance pipe is open at both ends and 30cm of its length is in resonance with an external frequency 1.1kHz. if the speed of sound is 330m/s which harmonic is in resonance ?

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Ashwini Zope 7th Dec, 2019

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Answer (1)

sumit ranjan 7th Dec, 2019

Hi dear for a pipe open at both in the frequency is given by
f=NV/2l
For a closed pipe resonating at one end frequency is given by
F=(2m+1)v/4l
Resonance will occur only when frequency FS will become equal to F.
FS=1.1khz=1100Hz.
We have,
L=30 cm=O.3m
V=330ms-1
F=(2m+1)300/40.3
We know that m=0,1,2,3,
F=275hz,825hz,1325hz.
Therefore
Fs is not equal to F
For any value of m
Hence, resonance will not occur in the pipe open at one end

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