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⚛️ Physics  ·  Waves  ·  NEET & JEE

A pipe closed at one end and a pipe open at both ends have the same length. The fundamental frequency of the closed pipe compared with the open pipe is:

Answer: half.

  • A double
  • B same
  • C half
  • D quarter

Correct answer: C. half

Explanation: Closed pipe: f = v/4L; open pipe: f = v/2L, so the closed pipe fundamental is half.

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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