A : The work done by friction on an object during pure rolling motion is zero.
R : In pure rolling motion, there is relative motion at the point of contact.

Options

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

Answer

To solve the assertion-reason question, we need to analyze both the assertion (A) and the reason (R) provided.

### Step-by-Step Solution:

1. **Understanding the Assertion (A)**:
- The assertion states: "The work done by friction on an object during pure rolling motion is zero."
- In pure rolling motion, the object rolls without slipping. This means that the point of contact between the object and the surface does not slide; it is momentarily at rest.

2. **Analyzing Work Done by Friction**:
- Work done by a force is calculated using the formula:
\[ \text{Work} = \text{Force} \times \text{Displacement} \times \cos(\theta) \]
- Here, \(\theta\) is the angle between the force and the direction of displacement.
- In pure rolling, the displacement of the point of contact (where friction acts) is zero because it does not move relative to the surface. Therefore, the work done by friction can be expressed as:
\[ \text{Work} = \text{Friction Force} \times 0 = 0 \]
- Thus, the assertion is **true**.

3. **Understanding the Reason (R)**:
- The reason states: "In pure rolling motion, there is relative motion at the point of contact."
- This statement is misleading. In pure rolling motion, the point of contact does not slide; it is stationary relative to the surface. Therefore, there is no relative motion at the point of contact.

4. **Conclusion**:
- Since the assertion is true and the reason is false, the correct conclusion is that the assertion is true but the reason is false.

### Final Answer:
- The correct option is: Assertion (A) is true, Reason (R) is false.