5. 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 inresonance with the pipe if both ends are open? Why? [Speed of sound in the air= 340 m s-1]

5. A pipe 20 cm long is closed at one end. Which harmonic mode of the

1.	5. 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 inresonance with the pipe if both ends are open? Why? [Speed of sound in the air= 340 m s-1]
Answer» of the pipe, 1=20cm=0.2mSource frequency =nth normal mode of frequency, fn =430HzSpeed of SOUND, v = 340 m/sIn a closed pipe, the nth normal mode of frequency is given by the relation: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 vibration frequency is given by the relation: fn=nv/2ln=2lfn/v≈0.5The same source will not be in resonance with the same pipe open at both ends.

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5. 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 inresonance with the pipe if both ends are open? Why? [Speed of sound in the air= 340 m s-1]​

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5. 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 inresonance with the pipe if both ends are open? Why? [Speed of sound in the air= 340 m s-1]