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If we study the vibration of a pipe open at both ends, then which of the following statements is not true ? [NEET 2013]
- a)Odd harmonics of the fundamental frequency will be generated
- b)All harmonics of the fundamental frequency will be generated
- c)Pressure change will be maximum at both ends
- d)Antinode will be at open endPressure change will be minimum at both ends. In fact, pressure variation is maximum at /2 because the displacement node is pressure antinode.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If we study the vibration of a pipe open at both ends, then which of t...
Pressure change will be minimum at both ends. In fact, pressure variation is maximum at /2 because the displacement node is pressure antinode.
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If we study the vibration of a pipe open at both ends, then which of t...
Understanding Pipe Vibrations
When studying the vibrations of a pipe that is open at both ends, it's essential to grasp the concepts of harmonics, pressure changes, and displacement nodes.
Key Concepts of Open Pipes
- An open pipe supports standing waves, where both ends of the pipe act as pressure nodes.
- The fundamental frequency (first harmonic) can be calculated based on the length of the pipe.
Harmonics Generated
- In an open pipe, all harmonics (including odd and even) of the fundamental frequency are generated.
- This means the harmonics produced are:
- Fundamental (1st harmonic)
- 2nd harmonic (first overtone)
- 3rd harmonic (2nd overtone)
- And so on.
Pressure and Displacement Characteristics
- Pressure Behavior:
- At both open ends of the pipe, the pressure variation is indeed minimum. This is because, at these points, air can move freely, resulting in minimal pressure changes.
- The maximum pressure change occurs at the midpoint of the pipe, aligned with the displacement node, where the air particles are at rest.
- Displacement Nodes and Antinodes:
- The ends of the pipe are displacement antinodes (maximum displacement), while the pressure nodes (minimum pressure) are located at the open ends.
Conclusion
The statement "Pressure change will be maximum at both ends" is incorrect. The correct understanding is that:
- Pressure changes are minimal at the open ends.
- Maximum pressure variation occurs at the midpoint of the pipe.
This clarification addresses why option 'C' is the correct answer in this context.
When studying the vibrations of a pipe that is open at both ends, it's essential to grasp the concepts of harmonics, pressure changes, and displacement nodes.
Key Concepts of Open Pipes
- An open pipe supports standing waves, where both ends of the pipe act as pressure nodes.
- The fundamental frequency (first harmonic) can be calculated based on the length of the pipe.
Harmonics Generated
- In an open pipe, all harmonics (including odd and even) of the fundamental frequency are generated.
- This means the harmonics produced are:
- Fundamental (1st harmonic)
- 2nd harmonic (first overtone)
- 3rd harmonic (2nd overtone)
- And so on.
Pressure and Displacement Characteristics
- Pressure Behavior:
- At both open ends of the pipe, the pressure variation is indeed minimum. This is because, at these points, air can move freely, resulting in minimal pressure changes.
- The maximum pressure change occurs at the midpoint of the pipe, aligned with the displacement node, where the air particles are at rest.
- Displacement Nodes and Antinodes:
- The ends of the pipe are displacement antinodes (maximum displacement), while the pressure nodes (minimum pressure) are located at the open ends.
Conclusion
The statement "Pressure change will be maximum at both ends" is incorrect. The correct understanding is that:
- Pressure changes are minimal at the open ends.
- Maximum pressure variation occurs at the midpoint of the pipe.
This clarification addresses why option 'C' is the correct answer in this context.
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If we study the vibration of a pipe open at both ends, then which of the following statements is not true ? [NEET 2013]a)Odd harmonics of the fundamental frequency will be generatedb)All harmonics of the fundamental frequency will be generatedc)Pressure change will be maximum at both endsd)Antinode will be at open endPressure change will be minimum at both ends. In fact, pressure variation is maximum at /2 because the displacement node is pressure antinode.Correct answer is option 'C'. Can you explain this answer? for NEET 2026 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about If we study the vibration of a pipe open at both ends, then which of the following statements is not true ? [NEET 2013]a)Odd harmonics of the fundamental frequency will be generatedb)All harmonics of the fundamental frequency will be generatedc)Pressure change will be maximum at both endsd)Antinode will be at open endPressure change will be minimum at both ends. In fact, pressure variation is maximum at /2 because the displacement node is pressure antinode.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If we study the vibration of a pipe open at both ends, then which of the following statements is not true ? [NEET 2013]a)Odd harmonics of the fundamental frequency will be generatedb)All harmonics of the fundamental frequency will be generatedc)Pressure change will be maximum at both endsd)Antinode will be at open endPressure change will be minimum at both ends. In fact, pressure variation is maximum at /2 because the displacement node is pressure antinode.Correct answer is option 'C'. Can you explain this answer?.
If we study the vibration of a pipe open at both ends, then which of the following statements is not true ? [NEET 2013]a)Odd harmonics of the fundamental frequency will be generatedb)All harmonics of the fundamental frequency will be generatedc)Pressure change will be maximum at both endsd)Antinode will be at open endPressure change will be minimum at both ends. In fact, pressure variation is maximum at /2 because the displacement node is pressure antinode.Correct answer is option 'C'. Can you explain this answer? for NEET 2026 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about If we study the vibration of a pipe open at both ends, then which of the following statements is not true ? [NEET 2013]a)Odd harmonics of the fundamental frequency will be generatedb)All harmonics of the fundamental frequency will be generatedc)Pressure change will be maximum at both endsd)Antinode will be at open endPressure change will be minimum at both ends. In fact, pressure variation is maximum at /2 because the displacement node is pressure antinode.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If we study the vibration of a pipe open at both ends, then which of the following statements is not true ? [NEET 2013]a)Odd harmonics of the fundamental frequency will be generatedb)All harmonics of the fundamental frequency will be generatedc)Pressure change will be maximum at both endsd)Antinode will be at open endPressure change will be minimum at both ends. In fact, pressure variation is maximum at /2 because the displacement node is pressure antinode.Correct answer is option 'C'. Can you explain this answer?.
Solutions for If we study the vibration of a pipe open at both ends, then which of the following statements is not true ? [NEET 2013]a)Odd harmonics of the fundamental frequency will be generatedb)All harmonics of the fundamental frequency will be generatedc)Pressure change will be maximum at both endsd)Antinode will be at open endPressure change will be minimum at both ends. In fact, pressure variation is maximum at /2 because the displacement node is pressure antinode.Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for NEET. Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
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