Assertion: The SI unit of force is `kg m^(2) s^(-2)`
Reason: Force = mass x acceleration. The SI unit of mass is kg and that of acceleration is `ms^(-2)`.

Options

A. If both Assertion and Reason are CORRECT and Reason is the CORRECT explanation of the Assertion.
B. If both Assertion and Reason are CORRECT but Reason is not the CORRECT explanation of the Assertion.
C. If Assertion is CORRECT but Reason is INCORRECT
D. If Assertion is INCORRECT but Reason is CORRECT.

Answer

To solve the question, we need to evaluate both the assertion and the reason provided.

### Step 1: Analyze the Assertion
The assertion states that the SI unit of force is \( kg \, m^2 \, s^{-2} \).

### Step 2: Analyze the Reason
The reason states that force is defined as mass multiplied by acceleration (Force = mass × acceleration). The SI unit of mass is kg, and the SI unit of acceleration is \( m/s^2 \).

### Step 3: Calculate the SI Unit of Force
Using the formula for force:
\[ \text{Force} = \text{mass} \times \text{acceleration} \]
Substituting the SI units:
\[ \text{SI unit of force} = \text{kg} \times \left( \frac{m}{s^2} \right) = kg \, m \, s^{-2} \]

### Step 4: Compare the Assertion with the Calculation
The calculated SI unit of force is \( kg \, m \, s^{-2} \), which is equivalent to 1 Newton (N). The assertion claims that the SI unit of force is \( kg \, m^2 \, s^{-2} \), which is incorrect.

### Step 5: Evaluate the Reason
The reason provided is correct as it accurately states that force equals mass times acceleration, and correctly identifies the SI units of mass and acceleration.

### Conclusion
- The assertion is **incorrect**.
- The reason is **correct**.

Thus, the final answer is that the assertion is incorrect, but the reason is correct.

### Final Answer
Assertion: Incorrect
Reason: Correct