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Regarding an open organ pipe , which of ...

Regarding an open organ pipe , which of the following is correct?

A

Both the ends are pressure antinodes

B

Both the ends are displacement nodes

C

Both the ends are pressure nodes

D

Both (a) and (b)

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the characteristics of an open organ pipe, we will analyze the properties of sound waves in such a pipe. An open organ pipe is characterized by having both ends open, which affects the displacement and pressure nodes and antinodes. ### Step-by-Step Solution: 1. **Understanding Open Organ Pipes**: - An open organ pipe has both ends open to the air. This means that at both ends, the air can move freely. **Hint**: Remember that the ends of an open pipe are points where the air can vibrate freely. 2. **Displacement Nodes and Antinodes**: - In terms of displacement, the open ends of the pipe are displacement antinodes. This means that at these points, the displacement of the air particles is at its maximum. **Hint**: Displacement antinodes occur where the air moves the most, which is at the open ends of the pipe. 3. **Pressure Nodes and Antinodes**: - Conversely, at the open ends, there are pressure nodes. This means that the pressure variation is minimal at these points, as the air can freely move in and out. **Hint**: Pressure nodes occur where the pressure does not change significantly, which is at the open ends of the pipe. 4. **Analyzing the Options**: - **Option 1**: Both ends are pressure antinodes. This is incorrect because both ends are pressure nodes. - **Option 2**: Both ends are displacement nodes. This is incorrect because both ends are displacement antinodes. - **Option 3**: Both ends are pressure nodes. This is correct as we established that both ends are indeed pressure nodes. - **Option 4**: Both A and B. This is incorrect since both A and B are false. 5. **Conclusion**: - The correct option is **Option 3**, which states that both ends are pressure nodes. ### Final Answer: The correct statement regarding an open organ pipe is that **both ends are pressure nodes** (Option 3).
To solve the question regarding the characteristics of an open organ pipe, we will analyze the properties of sound waves in such a pipe. An open organ pipe is characterized by having both ends open, which affects the displacement and pressure nodes and antinodes. ### Step-by-Step Solution: 1. **Understanding Open Organ Pipes**: - An open organ pipe has both ends open to the air. This means that at both ends, the air can move freely. **Hint**: Remember that the ends of an open pipe are points where the air can vibrate freely. ...
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