Assertion : Acceleration of a moving particle can change its direction without any change in direction of velocity.
Reason : If the direction of change in velocity vector changes, the direction of acceleration vector also changes.

Options

A. If the both Assertion and Reason are true and the Reason is correct explanation of the Assertion.
B. If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
C. If Assertion is true, but the Reason is false.
D. If Assertion is false but the Reason is true.

Explanation

To solve the given question, we need to analyze both the assertion and the reason provided.

### Step-by-Step Solution:

1. **Understanding the Assertion**:
- The assertion states that "acceleration of a moving particle can change its direction without any change in direction of velocity."
- This implies that it is possible for a particle to accelerate in a direction different from its velocity direction, which is not correct. Acceleration is defined as the rate of change of velocity. If the velocity is changing direction, the acceleration must also change direction.

2. **Understanding the Reason**:
- The reason states that "if the direction of change in velocity vector changes, the direction of acceleration vector also changes."
- This statement is true. Acceleration is the change in velocity over time. If the velocity vector changes direction, the acceleration vector, which represents that change, must also change direction.

3. **Evaluating the Truth of the Assertion and Reason**:
- Since the assertion is false (acceleration cannot change direction without a change in the direction of velocity), and the reason is true (the direction of acceleration changes with the direction of change in velocity), we can conclude that:
- Assertion: False
- Reason: True

4. **Selecting the Correct Option**:
- Based on the evaluation, the correct option is that the assertion is false while the reason is true.

### Conclusion:
The correct answer is that the assertion is false and the reason is true.