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In the 5th overtone of an open organ pip...

In the `5th` overtone of an open organ pipe, these are (N-stands for nodes and A- for antinodes)

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To solve the problem of finding the number of nodes and antinodes in the 5th overtone of an open organ pipe, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Overtone**: - The 5th overtone corresponds to the 6th harmonic in an open organ pipe. In general, the nth overtone corresponds to the (n+1)th harmonic. 2. **Characteristics of Open Organ Pipe**: - An open organ pipe has antinodes at both ends and nodes in between. The pattern of nodes (N) and antinodes (A) alternates along the length of the pipe. 3. **Finding Nodes and Antinodes**: - For the nth harmonic in an open organ pipe, the number of nodes (N) is equal to n, and the number of antinodes (A) is equal to n + 1. - Therefore, for the 6th harmonic (which is the 5th overtone), we have: - Number of nodes (N) = 6 - Number of antinodes (A) = 6 + 1 = 7 4. **Conclusion**: - Thus, in the 5th overtone of an open organ pipe, there are 6 nodes and 7 antinodes. ### Final Answer: - The answer is: **6 nodes (6N) and 7 antinodes (7A)**.
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CENGAGE PHYSICS ENGLISH-SUPERPOSITION AND STANDING WAVES-Fill in the Blanks Type
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