2005

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open pipe is in resonance in 2nd harmonic with frequncy f1.Now one end is closed and frequncy is increasd to f2 such taht resoance is in nth harmonic.Find n and relation b/w f2 and f1

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Anirudh Kumar ·2010-03-15 05:25:07

f1 = 2v/2l

f2= nv/4l

so, f2=n f1/4

n=4f2/f1

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eureka123 ·2010-03-15 10:44:48

thats the soln every book has...but for closed pipe..frequncy is (2n+1)v/4l

and not nv/4l

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Anirudh Kumar ·2010-03-15 19:27:31

ya bhaiya but when said nth harmonic then it is nv/4l isn't it.

for nth overtone

it will be (2n+1)v/4l

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Manmay kumar Mohanty ·2010-03-15 20:37:31

f₁=vl ( 2nd harmonic of open pipe )
f₂=n(v4l (nth harmonic of closed pipe )

here f₂ > f₁ and that is possible when n=5 i.e; f₂=54(vl ) = 5/4 f₁

hence we get n =5 and f₂ = 54 f₁

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