For production of beats the two souces must have

Options

A. differnet frequencies and saem ampltude
B. different frequencies
C. ifferent frequencies, same amplitude and same phase
D. different frequencies and same phase

Answer

To solve the question regarding the conditions necessary for the production of beats, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Beats**:
- Beats are produced when two waves of slightly different frequencies interfere with each other. This interference results in a new wave pattern that fluctuates in amplitude.

2. **Identifying Key Characteristics**:
- For beats to occur, the two waves must have:
- **Different Frequencies**: This is essential because if the frequencies are the same, there will be no fluctuation in amplitude, and thus no beats will be produced.
- **Same Amplitude**: While not strictly necessary, having the same amplitude makes the beats more pronounced and easier to observe.

3. **Considering Phase**:
- The phase of the waves can be the same or different. However, having the same phase is not a requirement for the production of beats. The critical factor is the difference in frequency.

4. **Conclusion**:
- Therefore, the correct answer is that for the production of beats, the two sources must have **different frequencies and can have the same amplitude**.

### Final Answer:
The two sources must have **different frequencies and the same amplitude**.

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