11 grade physics others
In case of a closed organ pipe which harmonic is the Pth overtone will be
- A. 2P+1
- B. 2P-1
- C. P+1
- D. P-1
In case of a closed organ pipe which harmonic is the Pth overtone will be
- A. 2P+1
- B. 2P-1
- C. P+1
- D. P-1
1 Answer
Askiitians Tutor Team
Approved Tutor Answer10 Months agoIn a closed organ pipe, the harmonics produced are based on odd integers. The fundamental frequency is the first harmonic, and the overtones follow a specific pattern. For a closed pipe, the Pth overtone corresponds to the formula:
Understanding the Harmonics
The harmonics in a closed organ pipe are given by:
- 1st harmonic (fundamental): 1
- 2nd harmonic (1st overtone): 3
- 3rd harmonic (2nd overtone): 5
- 4th harmonic (3rd overtone): 7
Finding the Pth Overtone
From this pattern, we can see that the Pth overtone is represented by the formula:
2P - 1
Correct Answer
Therefore, the correct option for the Pth overtone in a closed organ pipe is:
B. 2P - 1
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