Assertion : The average and instantaneous velocities have same value in a uniform motion.
Reason : In uniform motion, the velocity of an object increases uniformly

Options

A. Both assertion and reason are true and reason is the correct explanation of assertion.
B. Both assertion and reason are true but reason is not the correct explanations of assertion.
C. Assertion is true but reason is false.
D. Both assertion and reason is false

Explanation

To solve the assertion and reason question, we will analyze both statements step by step.

### Step 1: Understand the Assertion
The assertion states that "the average and instantaneous velocities have the same value in a uniform motion."

- **Explanation**: In uniform motion, an object travels equal distances in equal intervals of time, meaning its speed does not change. Therefore, the average velocity (total displacement divided by total time) and instantaneous velocity (velocity at a specific moment) will be the same because the speed is constant throughout the motion.

### Step 2: Understand the Reason
The reason states that "in uniform motion, the velocity of an object increases uniformly."

- **Explanation**: This statement is incorrect. In uniform motion, the velocity does not increase; it remains constant. Therefore, the reason does not support the assertion.

### Step 3: Conclusion
From the analysis:
- The assertion is true because average and instantaneous velocities are equal in uniform motion.
- The reason is false because it incorrectly states that velocity increases in uniform motion.

### Final Answer
The correct option is that the assertion is true, but the reason is false.

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