Describe various modes of vibration of air column in a closed pipe. Show that a closed pipe can produce only odd harmonics
Answer (1)
29th Mar, 2021
Dear Student,
First Part:
- The air at the closed end is not free to vibrate so a node is fromed at the closed end.
- While the air at the open end is free to vibrate with maximum amplitude so an antinodes is formed at this end.
- This is the simplest mode of vibration and it is called fundamental mode.
Second Part:
This frequency is called the fifth harmonic or second overtone. Thus we see that frequencies of the modes of vibrations are in the ratio n:n1:n2: = 1:3:5 This shows that only odd harmonics are present in the modes of vibrations of the air column closed at one end.
Thank You.
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