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⚛️ Physics  ·  Waves  ·  NEET & JEE

Open pipe has fundamental frequency f. Closed pipe of same length has fundamental frequency:

Answer: f/2.

  • A f/2
  • B f
  • C 2f
  • D f/4

Correct answer: A. f/2

Explanation: Open pipe: f<sub>open</sub> = v/(2L). Closed pipe: f<sub>closed</sub> = v/(4L) = f<sub>open</sub>/2.

Standing Wave: Nodes and Antinodes (Open Pipe, 2nd Harmonic)nodenodenodeantinodeantinodeSolid and dashed lines show the string/air column at two instants - nodes never move

A standing wave forms from two identical waves travelling in opposite directions and interfering; nodes (always zero displacement) and antinodes (maximum displacement) stay fixed in place, unlike a travelling wave where the whole pattern moves.

Concept context

Wave types, superposition, standing waves, Doppler effect, and sound intensity.

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