An organ pipe open at both ends is 1.56m long. A second organpipe that is closed

Question

An organ pipe open at both ends is 1.56m long. A second organpipe that is closed at one end and open at the other is 0.78m long.Which of the following sets of frequencies consists of frequenciesthat are resonances for both pipes? (speed of sound: 343m/s) a)110Hz, 330Hz, 550Hz b)220Hz, 440Hz, 660Hz c)110Hz, 220Hz, 330Hz An organ pipe open at both ends is 1.56m long. A second organpipe that is closed at one end and open at the other is 0.78m long.Which of the following sets of frequencies consists of frequenciesthat are resonances for both pipes? (speed of sound: 343m/s) a)110Hz, 330Hz, 550Hz b)220Hz, 440Hz, 660Hz c)110Hz, 220Hz, 330Hz

Explanation / Answer

open at both ends n = 1,2,3,.... f 1= nv / 2L = 1 * 343 / 2*1.56 = 109.9Hz ~110Hz closed at one end n = 1,3,5, f 1= nv/4L = 1 * 343 / 4*0.78 =109.9Hz ~110Hz when n = 1,3,5 for two cases we have f = 110Hz, 330Hz, 550Hz

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