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Statement-1 : Node of pressure wave is f...

Statement-1 : Node of pressure wave is formed at the open end of an organ pipe
Statement-2 : Due to huge volume of the atmosphere outside the tube, deformation in its volume is negligible.

A

Statement-1 is true, Statement-2 is true , Statement-2 is correct explanation for Statement-17

B

Statement-1 is true,Statement-2 is true , Statement-2 is NOT a correct explanation for Statement-17

C

Statement-1 is true, Statement-2 is false

D

Statement-1 is false, Statement-2 is true

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the statements provided in the question, we will break down the concepts of pressure waves in organ pipes and the implications of the statements. ### Step-by-Step Solution: **Step 1: Understanding the Statements** - **Statement 1:** "Node of pressure wave is formed at the open end of an organ pipe." - **Statement 2:** "Due to the huge volume of the atmosphere outside the tube, deformation in its volume is negligible." **Step 2: Analyzing Statement 1** - In an organ pipe, the behavior of pressure waves is characterized by nodes and antinodes. - At the open end of an organ pipe, there is a node of pressure. This is because the air at the open end can move freely, leading to minimal pressure variation compared to the closed end of the pipe, where pressure is maximum (antinode of pressure). **Step 3: Analyzing Statement 2** - The atmosphere surrounding the open end of the organ pipe has a vast volume. - When the air inside the pipe vibrates, the surrounding atmospheric pressure does not change significantly because the volume is so large that the effect of the vibrations is negligible. Thus, the deformation in the volume of the atmosphere is indeed negligible. **Step 4: Conclusion** - Since both statements accurately describe the behavior of pressure waves in an organ pipe, we conclude that: - Statement 1 is true (a node of pressure is formed at the open end). - Statement 2 is true (the large volume of atmosphere leads to negligible deformation). - Therefore, both statements are true, and Statement 2 correctly explains Statement 1. ### Final Answer: Both Statement 1 and Statement 2 are true, and Statement 2 is the correct explanation for Statement 1. ---
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ALLEN-WAVES AND OSCILLATIONS-Part-1(Exercise-03)
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  13. The figure represents the instantaneous picture of a transverse harmon...

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  14. The figure represents the instantaneous picture of a transverse harmon...

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  15. A perfectly elastic uniform string is suspended vertically with its up...

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  16. A narrow tube is bent in the form of a circle of radius R, as shown in...

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  17. A narrow tube is bent in the form of a circle of radius R, as shown in...

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  18. A narrow tube is bent in the form of a circle of radius R, as shown in...

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  19. A narrow tube is bend in the form of a circle of radius R, as shown in...

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  20. A narrow tube is bent in the form of a circle of radius R, as shown in...

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