Select the correct statement from the following.
I. Positive force means repulsive force.
II. Negative force means attractive force.
III. When rate of change of force with distance is negative, it represents attractive force.

Options

A. I and II are correct
B. II and III are correct
C. I and III are correct
D. All are correct

Answer

To solve the question, we need to evaluate each of the three statements provided and determine which ones are correct.

### Step 1: Analyze Statement I
**Statement I:** Positive force means repulsive force.

- According to Coulomb's Law, when two charges are the same (both positive or both negative), they repel each other. The force between them is positive in this case. Therefore, this statement is **correct**.

### Step 2: Analyze Statement II
**Statement II:** Negative force means attractive force.

- When two charges are opposite (one positive and one negative), they attract each other. In this case, the force can be considered negative because the product of the charges (one positive and one negative) results in a negative value. Therefore, this statement is also **correct**.

### Step 3: Analyze Statement III
**Statement III:** When the rate of change of force with distance is negative, it represents attractive force.

- The rate of change of force with distance being negative indicates that as distance increases, the force decreases. This situation typically represents a scenario of negative work being done, rather than indicating an attractive force. Therefore, this statement is **incorrect**.

### Conclusion
Based on the analysis:
- **Statement I** is correct.
- **Statement II** is correct.
- **Statement III** is incorrect.

Thus, the correct statements are **I and II**.

### Final Answer
The correct statements are I and II.

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