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⚛️ Physics  ·  Waves  ·  NEET & JEE

A pipe closed at one end shows resonances at 300 Hz and 500 Hz with no resonance in between. Its fundamental frequency is:

Answer: 100 Hz.

  • A 200 Hz
  • B 100 Hz
  • C 150 Hz
  • D 400 Hz

Correct answer: B. 100 Hz

Explanation: A closed pipe supports only odd harmonics f, 3f, 5f. Consecutive resonances differ by 2f, so 500 - 300 = 200 = 2f, giving f = 100 Hz (harmonics 100, 300, 500).

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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