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⚛️ Physics  ·  Waves  ·  NEET & JEE

For a closed pipe, ratio of first overtone to fundamental frequency:

Answer: 3:1.

  • A 2:1
  • B 3:1
  • C 4:1
  • D 5:1

Correct answer: B. 3:1

Explanation: Closed pipe: only odd harmonics. Fundamental = v/(4L) = 1st harmonic. First overtone = 3rd harmonic = 3v/(4L). Ratio = 3:1.

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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