The change in frequency due to Doppler effect does not depend on

Options

A. the speed of the source
B. the speed of the observor
C. the frequency of the source
D. separation between the source and the observer

Answer

To solve the question regarding the change in frequency due to the Doppler effect, we will analyze the factors that influence this change.

### Step-by-Step Solution:

1. **Understand the Doppler Effect**: The Doppler effect refers to the change in frequency (or wavelength) of a wave in relation to an observer moving relative to the source of the wave.

2. **Identify the Formula**: The formula for the observed frequency (f) when there is relative motion between the source and observer is given by:
\[ f = f_0 \left( \frac{v + v_o}{v + v_s} \right) \]
where:
- \( f_0 \) = original frequency of the source
- \( v \) = speed of sound in the medium
- \( v_o \) = speed of the observer (positive if moving towards the source)
- \( v_s \) = speed of the source (positive if moving away from the observer)

3. **Analyze the Options**: We need to determine which factor does not affect the change in frequency:
- **Option 1**: Speed of the source (v_s) - This affects the frequency.
- **Option 2**: Speed of the observer (v_o) - This also affects the frequency.
- **Option 3**: Original frequency of the source (f_0) - This affects the frequency as well.
- **Option 4**: Separation between the source and the observer - This is not included in the formula.

4. **Conclusion**: The change in frequency due to the Doppler effect does not depend on the separation between the source and the observer. Therefore, the correct answer is **Option 4**.

### Final Answer:
The change in frequency due to the Doppler effect does not depend on the separation between the source and the observer.

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