Node at a closed end and an antinode at a open end of a tube

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SUMMARY

The discussion clarifies the behavior of sound waves in a tube, specifically the presence of a node at the closed end and an antinode at the open end of an air column. At the closed end, a displacement node occurs because the air cannot oscillate, resulting in maximum pressure variation. Conversely, at the open end, a displacement antinode is formed as the air can oscillate freely, while the pressure remains constant at ambient levels. This phenomenon is consistent and does not change as the wave oscillates.

PREREQUISITES
  • Understanding of wave mechanics
  • Familiarity with sound wave behavior in tubes
  • Knowledge of pressure and displacement nodes and antinodes
  • Basic principles of acoustics
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Cardinalmont
What causes there to be a node at a closed end of an air column and an antinode at the open end of a air column? Why doesn't it change as the wave oscillates?
 
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I believe you are asking about displacement nodes and antinodes. Right at the closed end, a sliver of air dx cannot oscillate because it has nowhere to go which causes the pressure to rise and drop above as far as it will ever go above ambient pressure. You have a displacement node and a pressure antinode.

At the open end, the opposite happens; the sliver of air is free to oscillate at maximum displacement while the pressure is fixed at its ambient (atmospheric) value. You have a displacement antinode and a pressure node.
 

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