15.17 A pipe 20 cm long is closed at one end. Which harmonic mode of the pipe is resonantly excited by a 430 Hz source? Will the same source be in resonance with the pipe if both ends are open? (speed of sound in air is 340 m s–1).
15.17 A pipe 20 cm long is closed at one end. Which harmonic mode of the pipe is resonantly excited by a 430 Hz source? Will the same source be in resonance with the pipe if both ends are open? (speed of sound in air is 340 m s–1).
Length of the pipe, l = 20 cm = 0.2 m
Source frequency = normal mode frequency is given by the relation
= (2n-1) , n is an integer = 0,1,2,3, ….
430 = (2n-1)
n = 1
Hence, the first mode of vibration frequency is resonantly excited by the given source. In a pipe open at both ends, the mode of vibrati
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