Q19 of 36 Page 109

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?

For first harmonic, the reference diagram is:

hdbffb.PNG


The pipe is open with both ends.


Or




Or,



Now, the pipe is closed with one end:


sfdfdfdf.PNG



[The speed is constant]



Or



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