A pipe 30.0 cm long is open at both ends. Which harmonic mode of the pipe resonates with a 1.1 kHz s

Question

A pipe 30.0 cm long is open at both ends. Which harmonic mode of the pipe resonates with a 1.1 kHz source? (Speed of sound in air = 330 m/s)

Professor PC Thomas Classes · Answer

For an open pipe, the fundamental frequency $f_1 = v / 2L = 330 / (2 	imes 0.3) = 550$ Hz. The source frequency is 1100 Hz, which is $2 	imes f_1$. This corresponds to the second harmonic.