A pipe produces notes of frequencies 300Hz, 600Hz, 900 Hz , the pipe is

Options

A. Open at one end
B. Open at both the ends
C. a and b
D. Kund's tube

Explanation

To determine the nature of the pipe that produces notes of frequencies 300 Hz, 600 Hz, and 900 Hz, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Frequencies**: The frequencies given are 300 Hz, 600 Hz, and 900 Hz.

2. **Calculate the Ratios of Frequencies**:
- The ratio of the frequencies can be calculated as follows:
- 300 Hz : 600 Hz = 1 : 2
- 600 Hz : 900 Hz = 2 : 3
- Therefore, the ratios of the frequencies are 1 : 2 : 3.

3. **Determine the Harmonic Series**:
- The ratios 1 : 2 : 3 suggest that these frequencies correspond to the fundamental frequency and its harmonics.
- The fundamental frequency (1st harmonic) is 300 Hz, the 2nd harmonic is 600 Hz, and the 3rd harmonic is 900 Hz.

4. **Identify the Type of Pipe**:
- For a pipe open at both ends, the harmonics are in the ratio of natural numbers (1, 2, 3, ...).
- For a pipe closed at one end, the harmonics are in the ratio of odd natural numbers (1, 3, 5, ...).
- Since we have all harmonics present (1, 2, 3), this indicates that the pipe is open at both ends.

5. **Conclusion**:
- The pipe that produces the frequencies 300 Hz, 600 Hz, and 900 Hz is open at both ends.

### Final Answer:
The pipe is open at both ends.

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