The unit of linear momentum is :

Options

A. N s
B. `kg m s^(-2)`
C. `N s^(-1)`
D. `kg^2 m s^(-1)`

Explanation

To determine the unit of linear momentum, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Linear Momentum**:
- Linear momentum (P) is defined as the product of an object's mass (m) and its velocity (v). The formula is:
\[ P = m \cdot v \]

2. **Identifying Units**:
- The unit of mass (m) is kilograms (kg).
- The unit of velocity (v) is meters per second (m/s).

3. **Calculating the Unit of Momentum**:
- Substitute the units of mass and velocity into the momentum formula:
\[ \text{Unit of } P = \text{Unit of mass} \times \text{Unit of velocity} = \text{kg} \times \text{m/s} \]
- Therefore, the unit of linear momentum is:
\[ \text{Unit of } P = \text{kg m/s} \]

4. **Alternative Expression**:
- According to Newton's second law, force (F) is related to momentum (P) as the rate of change of momentum:
\[ F = \frac{dP}{dt} \]
- The unit of force is Newton (N), and since 1 Newton is defined as 1 kg·m/s², we can express momentum in terms of force and time:
\[ \text{Unit of } P = \text{Unit of force} \times \text{Unit of time} = \text{N} \cdot \text{s} = \text{kg m/s} \]

5. **Conclusion**:
- Thus, the unit of linear momentum can be expressed as either:
\[ \text{kg m/s} \quad \text{or} \quad \text{N s} \]

### Final Answer:
The unit of linear momentum is **kg m/s** or **N s**.

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