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
- Athree nodes and three antinodes
- Bthree nodes and four antinodes
- Cfour nodes and three antinodes
- 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 node and antinode.
The -th overtone corresponds to the -th harmonic, and the number of nodes and antinodes in the -th overtone is .
For the third overtone, .
Number of nodes
Number of antinodes
Thus, the air column has four nodes and four antinodes.
Answer: four nodes and four antinodes
The -th overtone corresponds to the -th harmonic, and the number of nodes and antinodes in the -th overtone is .
For the third overtone, .
Number of nodes
Number of antinodes
Thus, the air column has four nodes and four antinodes.
Answer: four nodes and four antinodes