Which of the following statements is not correct?

Options

A. During rolling, the instantaneous speed of the point of contact is zero
B. During rolling, the instantaneous acceleration of the point of contact is zero.
C. For perfect rolling motion, work done against friction is zero.
D. A wheel moving down a perfectly frictionless inclined plane will slip but not roll on the plane.

Explanation

To determine which of the statements is not correct regarding rolling motion, let's analyze each statement one by one.

1. **Statement 1**: "During rolling, the instantaneous speed of the point of contact is zero."
- **Analysis**: In rolling motion, the point of contact with the ground does not move relative to the ground at that instant, which means its instantaneous speed is indeed zero. This statement is **correct**.

2. **Statement 2**: "During rolling, the instantaneous acceleration of the point of contact is zero."
- **Analysis**: When a body is rolling, the point of contact does not have zero acceleration. The body is undergoing rotational motion, and thus the point of contact has an instantaneous acceleration due to the rotation. This statement is **incorrect**.

3. **Statement 3**: "For perfect rolling motion, work done against friction is zero."
- **Analysis**: In perfect rolling motion, the frictional force does not do any work because there is no relative motion at the point of contact. Thus, the work done against friction is indeed zero. This statement is **correct**.

4. **Statement 4**: "A wheel moving down a perfectly frictionless inclined plane will slip but not roll on the plane."
- **Analysis**: On a frictionless surface, there is no frictional force to provide the necessary torque for rolling. Therefore, the wheel will slip down the incline without rolling. This statement is **correct**.

From the analysis, the **incorrect statement** is **Statement 2**: "During rolling, the instantaneous acceleration of the point of contact is zero."

### Summary of the Solution:
- Statement 1: Correct
- Statement 2: **Incorrect**
- Statement 3: Correct
- Statement 4: Correct

### Final Answer:
The statement that is not correct is: "During rolling, the instantaneous acceleration of the point of contact is zero."