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⚛️ Physics  ·  Waves  ·  NEET & JEE

A pipe closed at one end has length 0.25 m and the speed of sound is 340 m/s. Its first overtone frequency is:

Answer: 1020 Hz.

  • A 340 Hz
  • B 1020 Hz
  • C 680 Hz
  • D 1360 Hz

Correct answer: B. 1020 Hz

Explanation: Fundamental f<sub>1</sub> = v/4L = 340/1 = 340 Hz. A closed pipe first overtone is the third harmonic = 3f<sub>1</sub> = 1020 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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