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MHT CET202522 Apr 2025Evening ShiftPhysicsWaves and SoundActual

In a pipe closed at one end, air column is vibrating in its second overtone. The column has

Options

  1. Athree nodes and three antinodes.
  2. Bthree nodes and four antinodes.
  3. Ctwo nodes and three antinodes.
  4. Dfour nodes and three antinodes.

Correct answer

A. three nodes and three antinodes.

Step-by-step solution

Nodes and Antinodes in a Pipe Closed at One End A pipe closed at one end supports standing waves with a node at the closed end and an antinode at the open end. Only odd harmonics are present in such systems. The second overtone corresponds to the fifth harmonic, n = 5 . The wavelength satisfies L = 5 /4 , and the standing wave pattern consists of three nodes and three antinodes. Among the options, A identifies this configuration correctly.

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