Statement I: A body moving in a circular path is acted upon by the centripetal force.
Statement II: Centripetal force acting on the body is doing work to keep it rotating in the circular path.

Options

A. Both the statements are individually true and Statement II is the correct explanation of Statement I.
B. Both the statements are individually true but Statement II is not the correct explanation of Statement I.
C. Statement I is true but Statement II is false
D. Statement I is false but Statement II is true.

Answer

To analyze the statements provided in the question, we will break down each statement and evaluate their validity step by step.

### Step 1: Evaluate Statement I
**Statement I:** A body moving in a circular path is acted upon by the centripetal force.

- **Explanation:** When an object moves in a circular path, it requires a force directed towards the center of the circle to maintain its circular motion. This force is known as centripetal force. It is essential for keeping the object in circular motion.

- **Conclusion:** Statement I is **True**.

### Step 2: Evaluate Statement II
**Statement II:** Centripetal force acting on the body is doing work to keep it rotating in the circular path.

- **Explanation:** Work done by a force is defined as the product of the force and the displacement in the direction of the force. In the case of circular motion, the centripetal force acts perpendicular to the direction of the displacement of the object (which is tangential to the circle). Since the angle between the centripetal force and the displacement is 90 degrees, the work done (W) can be calculated as:

\[ W = F \cdot d \cdot \cos(\theta) \]

where \( \theta = 90^\circ \). Thus, \( \cos(90^\circ) = 0 \), which means:

\[ W = F \cdot d \cdot 0 = 0 \]

- **Conclusion:** Statement II is **False** because the centripetal force does not do any work on the body moving in a circular path.

### Final Conclusion
- Statement I is **True**.
- Statement II is **False**.