Which of the following pairs do not have same SI unit?

Options

A. Displacement and distance
B. Force and pressure
C. Work and energy
D. Speed and velocity

Answer

To solve the question "Which of the following pairs do not have the same SI unit?", we will analyze each option provided.

### Step 1: Analyze Option 1 - Displacement and Distance
- **Displacement**: The SI unit of displacement is meter (m).
- **Distance**: The SI unit of distance is also meter (m).
- **Conclusion**: Displacement and distance have the same SI unit.

### Step 2: Analyze Option 2 - Force and Pressure
- **Force**: The SI unit of force is Newton (N).
- **Pressure**: Pressure is defined as force per unit area. The SI unit of pressure is Pascal (Pa), where 1 Pa = 1 N/m².
- **Conclusion**: Force and pressure do not have the same SI unit.

### Step 3: Analyze Option 3 - Work and Energy
- **Work**: The SI unit of work is Joule (J).
- **Energy**: The SI unit of energy is also Joule (J).
- **Conclusion**: Work and energy have the same SI unit.

### Step 4: Analyze Option 4 - Speed and Velocity
- **Speed**: The SI unit of speed is meter per second (m/s).
- **Velocity**: The SI unit of velocity is also meter per second (m/s).
- **Conclusion**: Speed and velocity have the same SI unit.

### Final Conclusion
After analyzing all the options, we find that the pair that does not have the same SI unit is:
- **Option 2: Force and Pressure**