A man pushes a wall and fails to displace it.He does

Options

A. negative work
B. positive but not maximum work
C. maximum positive work
D. no work at all

Explanation

To solve the problem, we need to understand the concept of work done in physics. The work done by a force is defined by the formula:

\[ \text{Work} = \text{Force} \times \text{Displacement} \times \cos(\theta) \]

Where:
- Work is measured in joules (J)
- Force is the applied force
- Displacement is the distance moved in the direction of the force
- \(\theta\) is the angle between the force and the displacement

### Step-by-Step Solution:

1. **Identify the Situation**: A man is pushing against a wall. The wall does not move, meaning there is no displacement.

2. **Understand Displacement**: Since the wall does not move, the displacement (\(d\)) is zero.

3. **Apply the Work Formula**: Substitute the values into the work formula:
\[ \text{Work} = \text{Force} \times 0 \times \cos(\theta) \]

4. **Calculate Work Done**: Since the displacement is zero, the work done becomes:
\[ \text{Work} = \text{Force} \times 0 = 0 \text{ Joules} \]

5. **Conclusion**: The work done by the man on the wall is zero because there is no displacement, regardless of the force he applies.

### Final Answer:
The correct option is **Option 4: No work at all**.