Doppler shift in frequency does not depend upon

Options

A. the actual frequency of the wave
B. the distance of the source from the listener
C. the velocity of the source
D. the velocity of the observer

Answer

To solve the question regarding the Doppler shift in frequency and what it does not depend on, we can follow these steps:

### Step 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. It is commonly observed in sound waves, but it applies to all types of waves.

### Step 2: Identify the Formula
The formula for the apparent frequency (f') observed when there is relative motion between the source and the observer is given by:
\[ f' = \frac{v + v_o}{v - v_s} \cdot f \]
where:
- \( f' \) = apparent frequency
- \( v \) = 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)
- \( f \) = actual frequency of the source

### Step 3: Analyze the Dependencies
From the formula, we can see that:
- The apparent frequency depends on the speed of the observer (\( v_o \)).
- The apparent frequency depends on the speed of the source (\( v_s \)).
- The apparent frequency also depends on the actual frequency of the source (\( f \)).
- The speed of sound in the medium (\( v \)) is also a factor.

### Step 4: Identify What It Does Not Depend On
The key point is that the Doppler shift in frequency does not depend on the distance between the source and the observer. The distance does not appear in the formula, indicating that the change in frequency is independent of how far apart the source and observer are.

### Conclusion
Thus, the correct answer to the question "Doppler shift in frequency does not depend upon" is **distance**.

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