an open pipe resonates with frequency f1 and 2nd harmonic. Now one end is closed and the frequency is slowly increased till it resonates with frequency f2 and nth harmonic, then n=? and find the relation between f1 and and f2.

P.S.- after solving my answer comes to n=3 and f2=3/5f1 but the books i have referred to show the answer to be n=5 and f2=5/4f1

Question

an open pipe resonates with frequency f1 and 2nd harmonic. Now one end is closed and the frequency is slowly increased till it resonates with frequency f2 and nth harmonic, then n=? and find the relation between f1 and and f2.

P.S.- after solving my answer comes to n=3 and f2=3/5f1 but the books i have referred to show the answer to be n=5 and f2=5/4f1

SAGAR SINGH - IIT DELHI · Answer

Dear student,

f1=1/l root(B/p)

f2=n/4l root(B/p)

f2=n/4f1

for the 1st resoance n=5

f2=5/4 f1

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