A : In Doppler's effect the value of apparent frequency depends on the relative motion between source and observer .
R : The change in frequency in Doppler effect is independent from the distance between source and observer .

Answer

To analyze the given statements regarding the Doppler effect, we will break down the assertion (A) and the reason (R) step by step.

### Step 1: Understanding the Assertion (A)
The assertion states that "In Doppler's effect, the value of apparent frequency depends on the relative motion between source and observer."

- **Explanation**: This is true because the Doppler effect describes how the frequency of a wave changes for an observer moving relative to the source of the wave. If the observer moves towards the source, the waves are compressed, leading to a higher frequency (apparent frequency). Conversely, if the observer moves away from the source, the waves are stretched, resulting in a lower frequency.

### Step 2: Understanding the Reason (R)
The reason states that "The change in frequency in Doppler effect is independent from the distance between source and observer."

- **Explanation**: This is also true. The change in frequency due to the Doppler effect is determined by the relative velocities of the source and observer, not the actual distance between them. Even if the source and observer are far apart, if they are moving towards or away from each other, the frequency change will still occur.

### Step 3: Evaluating the Relationship Between A and R
Now, we need to determine if the reason correctly explains the assertion.

- **Analysis**: While both statements are correct, the reason does not provide a direct explanation for the assertion. The assertion focuses on the dependency of apparent frequency on relative motion, while the reason discusses the independence of frequency change from distance. Thus, while both are true, the reason does not explain why the apparent frequency depends on relative motion.

### Conclusion
Both the assertion (A) and reason (R) are correct, but the reason does not correctly explain the assertion. Therefore, the final answer is that both statements are true, but the reason is not a correct explanation for the assertion.

### Final Answer
- Both A and R are correct, but R is not the correct explanation for A.

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