An organ pipe of length L open at both ends is found to vibrate in its first harmonic when sounded with a tuning fork of 480 Hz. What should be the length of a pipe closed at one end, so that it also vibrates in its first harmonic with the same tuning fork?
An organ pipe of length L open at both ends is found to vibrate in its first harmonic when sounded with a tuning fork of 480 Hz. What should be the length of a pipe closed at one end, so that it also vibrates in its first harmonic with the same tuning fork?
This is a short answer type question as classified in NCERT Exemplar
As the organ pipe is open at both ends, hence for first harmonic

l=
V=c/2l
For pipe closed at one end

V'=c/4L'
Hence v=v'
c/2L =c/4L'
L'/L=2/4=1/2
L'=L/2
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Physics NCERT Exemplar Solutions Class 11th Chapter Fifteen 2025
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