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).

5 Views|Posted 8 months ago
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8 months ago

Length of the pipe, l = 20 cm = 0.2 m

Source frequency = nth normal mode frequency is given by the relation

νn = (2n-1) ν4l , n is an integer = 0,1,2,3, ….

430 = (2n-1) *3404*0.2

n = 1

Hence, the first mode of vibration frequency is resonantly excited by the given source. In a pipe open at both ends, the nth mode of vibrati

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