You want to build your own fife out of a piece of bamboo. You plan to plug one end of the fife with a 2.5 cm long cork, flush with one end of the tube. With all the fingers holes closed, you want to produce a note with frequency 262 Hz (this is middle C on a piano). Assuming that you will typically play this instrument in a 30 deg C room, how long should you make the fife?
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