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⚛️ Physics  ·  Waves  ·  NEET & JEE

A string fixed at both ends vibrates in its third harmonic (three loops) at 300 Hz. Its fundamental frequency is:

Answer: 100 Hz.

  • A 900 Hz
  • B 100 Hz
  • C 150 Hz
  • D 600 Hz

Correct answer: B. 100 Hz

Explanation: For a string the harmonics are f, 2f, 3f, ... The third harmonic is 3f = 300 Hz, so the fundamental f = 100 Hz.

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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