A: Speed of light in a medium is independent of the motion of the source relative to the medium.
R: Speed of light in a medium depends on the motion of the observer relative to the medium.

Options

A. IF both Assertion & Reason are true and the reason is the correct explanation of the assertion, then mark (1).
B. If both Assertion & Reason are true but the reason is not the correct explanation of the assertion, then mark(2)
C. IF Assertion is true statement but Reason is false then mark(3)
D. If both Assertion and Reason are false statements, then mark (4)

Answer

To analyze the given statements, we need to evaluate both the assertion (A) and the reason (R) separately.

### Step 1: Evaluate the Assertion (A)
The assertion states: "Speed of light in a medium is independent of the motion of the source relative to the medium."

- The speed of light in a medium (denoted as \( v \)) is determined by the properties of the medium itself, such as its refractive index.
- According to the principles of wave optics, the speed of light remains constant in a given medium regardless of the motion of the source emitting the light.
- Therefore, the assertion is **true**.

### Step 2: Evaluate the Reason (R)
The reason states: "Speed of light in a medium depends on the motion of the observer relative to the medium."

- The speed of light in a medium is indeed a constant value determined by the medium's refractive index. However, the perceived speed of light can change based on the motion of the observer relative to the source of light, but this does not alter the intrinsic speed of light in the medium.
- Thus, while the observer may perceive the light differently based on their motion, the speed of light in the medium itself does not depend on the observer's motion.
- Therefore, the reason is **false**.

### Step 3: Conclusion
Based on the evaluations:
- Assertion (A) is **true**.
- Reason (R) is **false**.

Thus, the correct answer to the question is that the assertion is true, and the reason is false.