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MHT CET 202621 AprilEvening Shift
Exam
MHT CET
Year
2026
Date
21 April
Shift
Evening Shift
Subject
Physics
Chapter
Waves and Sound

MHT CET 2026 · 21 April · Evening Shift · Physics · Waves and Sound

In a pipe closed at one end, air column is vibrating in its third...

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

Options

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

Correct answer

D. four nodes and four antinodes

Step-by-step solution

For a pipe closed at one end, the fundamental mode (zeroth overtone) corresponds to 11 node and 11 antinode.

The pp-th overtone corresponds to the (2p+1)(2p+1)-th harmonic, and the number of nodes and antinodes in the pp-th overtone is p+1p+1.

For the third overtone, p=3p=3.

Number of nodes =3+1=4= 3 + 1 = 4

Number of antinodes =3+1=4= 3 + 1 = 4

Thus, the air column has four nodes and four antinodes.

Answer: four nodes and four antinodes
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