Assertion: Simple harmonic motion is the projection of uniform circular motion on the diameter of the circle in which the latter motion occurs.
Reason: Simple harmonic motion is a uniform motion.

Options

A. If both assertion and reson are true and reason is the correct explanation of assertion
B. If both assertion and reason are true but reason is not the correct explanation of assertion.
C. If assertion is true but reason is false.
D. If both assertion and reason are false.

Explanation

To analyze the given assertion and reason, we will break down the statements and evaluate their truthfulness step by step.

### Step 1: Evaluate the Assertion
**Assertion:** Simple harmonic motion is the projection of uniform circular motion on the diameter of the circle in which the latter motion occurs.

- **Explanation:** Simple harmonic motion (SHM) can indeed be represented as the projection of an object moving in uniform circular motion onto a diameter of the circle. As the object moves around the circle, its vertical or horizontal position (depending on the projection) changes sinusoidally with time, which is characteristic of SHM.

**Conclusion:** The assertion is **True**.

### Step 2: Evaluate the Reason
**Reason:** Simple harmonic motion is a uniform motion.

- **Explanation:** This statement is misleading. While SHM has a constant frequency and is periodic, it is not uniform motion. In uniform motion, an object moves with a constant velocity, meaning both speed and direction remain unchanged. In SHM, the velocity and acceleration of the object change continuously as it moves back and forth, leading to a varying speed.

**Conclusion:** The reason is **False**.

### Final Evaluation
- Both the assertion and reason were evaluated, and we found that:
- The assertion is **True**.
- The reason is **False**.

### Answer
Since the assertion is true and the reason is false, the correct choice would be that the assertion is true, but the reason is not a correct explanation of the assertion.

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