Which of the following is a vector ?

Options

A. Electric charge
B. Work
C. Electric current
D. Momentum

Answer

To determine which of the given options is a vector, we need to analyze each option based on the definitions of scalar and vector quantities.

### Step-by-Step Solution:

1. **Identify the first option: Electric Charge**
- Electric charge is defined as a scalar quantity. It has magnitude but no direction.
- **Conclusion:** Electric charge is not a vector.

2. **Identify the second option: Work**
- Work is defined as the dot product of force and displacement (W = F · d). The dot product results in a scalar quantity.
- **Conclusion:** Work is not a vector.

3. **Identify the third option: Electric Current**
- Electric current (I) is defined as the rate of flow of charge (I = dq/dt). It has magnitude but does not have a specific direction associated with it in the same way that vectors do.
- **Conclusion:** Electric current is not a vector.

4. **Identify the fourth option: Momentum**
- Momentum (p) is defined as the product of mass (m) and velocity (v), expressed as p = mv. Since velocity is a vector quantity, momentum is also a vector quantity.
- **Conclusion:** Momentum is a vector.

### Final Answer:
Among the given options, **momentum** is the only vector quantity.