Question:
The air column in an organ pipe closed at one end is made to vibrate so that there are 2 nodes and antinodes each. The mode of vibration is called
The air column in an organ pipe closed at one end is made to vibrate so that there are 2 nodes and antinodes each. The mode of vibration is called
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For pipes closed at one end, the fundamental frequency corresponds to the first mode, and higher modes are called overtones. The number of nodes and antinodes determines the overtone number.
Updated On: Jan 26, 2026
- 3rd overtone
- 1st overtone
- fundamental
- 2nd overtone
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The Correct Option is B
Solution and Explanation
Step 1: Understanding the modes of vibration.
In a pipe closed at one end, the fundamental mode of vibration has one node at the closed end and one antinode at the open end. The first overtone (or second harmonic) has one node and one antinode inside the pipe, and the second overtone (third harmonic) has two nodes and two antinodes. Thus, when there are 2 nodes and 2 antinodes, the vibration corresponds to the first overtone.
Step 2: Conclusion.
Thus, the correct answer is (B) 1st overtone.
In a pipe closed at one end, the fundamental mode of vibration has one node at the closed end and one antinode at the open end. The first overtone (or second harmonic) has one node and one antinode inside the pipe, and the second overtone (third harmonic) has two nodes and two antinodes. Thus, when there are 2 nodes and 2 antinodes, the vibration corresponds to the first overtone.
Step 2: Conclusion.
Thus, the correct answer is (B) 1st overtone.
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