Assertion : On a curved path, average speed of a particle can never be equal to average velocity.
Reason : Average speed is total distance travelled divided by total time. Whereas average velocity is, final velocity plus initial velocity divided by two.

Options

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

Explanation

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

### Step 1: Understand the Assertion
The assertion states that "On a curved path, the average speed of a particle can never be equal to average velocity."

- **Average Speed** is defined as the total distance traveled divided by the total time taken.
- **Average Velocity** is defined as the total displacement divided by the total time taken.

In a curved path, the distance traveled is always greater than the displacement because displacement is the straight-line distance from the initial position to the final position.

### Step 2: Analyze the Reason
The reason states that "Average speed is total distance traveled divided by total time. Whereas average velocity is, final velocity plus initial velocity divided by two."

This statement about average velocity is incorrect. The correct formula for average velocity is:
\[ \text{Average Velocity} = \frac{\text{Total Displacement}}{\text{Total Time}} \]

The statement in the reason incorrectly describes average velocity as the average of initial and final velocities, which is only true for uniformly accelerated motion (not in general).

### Step 3: Conclusion
Since the assertion is true (average speed on a curved path is greater than average velocity due to the nature of distance and displacement), but the reason is false (it incorrectly describes average velocity), we conclude:

- **Assertion**: True
- **Reason**: False

Thus, the correct option is that the assertion is true and the reason is false.

### Final Answer
Assertion is true and Reason is false.

---