If fundamental frequency is 50 and next successive frequencies are 150 and 250 then it its

Options

A. a pipe closed at both end
B. a pipe closed at one end
C. an open pipe
D. a stretched pipe

Explanation

To solve the question, we need to analyze the information given about the fundamental frequency and the successive frequencies.

### Step-by-Step Solution:

1. **Identify the Fundamental Frequency**:
The fundamental frequency (f1) is given as 50 Hz.

2. **Identify the Next Successive Frequencies**:
The next successive frequencies are given as 150 Hz (f2) and 250 Hz (f3).

3. **Analyze the Frequencies**:
We can observe that the frequencies are increasing. The difference between the fundamental frequency and the first successive frequency is:
\[ f2 - f1 = 150 \, \text{Hz} - 50 \, \text{Hz} = 100 \, \text{Hz} \]
The difference between the first and the second successive frequency is:
\[ f3 - f2 = 250 \, \text{Hz} - 150 \, \text{Hz} = 100 \, \text{Hz} \]

4. **Determine the Pattern**:
The differences between the frequencies are constant (100 Hz). This indicates that the frequencies are in an arithmetic progression.

5. **Conclusion**:
Since the frequencies form an arithmetic progression, we can conclude that the fundamental frequency is the first term, and the next successive frequencies are the second and third terms of this progression.

### Final Answer:
The frequencies given (50 Hz, 150 Hz, and 250 Hz) confirm that the fundamental frequency is 50 Hz, and the next successive frequencies are 150 Hz and 250 Hz, respectively.

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