In a pipe closed at one end, air column is vibrating in the fourth overtone, so the vibrating air column has

In a pipe closed at one end, air column is vibrating in the fourth overtone, so the vibrating air column has
  1. 4 nodes and 5 antinodes.
  2. 5 nodes and 4 antinodes.
  3. 5 nodes and 5 antinodes.
  4. 4 nodes and 4 antinodes.

Solution

For a pipe with one closed end: Fundamental mode has one node and one antinode. First overtone has two nodes and two antinodes. Second overtone has three nodes and three antinodes. So, the fifth overtone has five nodes and five antinodes.

Asked in: MHT CET 2022 (06 Aug Shift 1)

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