Of the following the vector quantity is

Options

A. time
B. Electric Current
C. Velocity of light
D. gravitational force

Answer

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

### Step-by-Step Solution:

1. **Identify the Options**: We are given four options:
- Option 1: Time
- Option 2: Electric Current
- Option 3: Velocity of Light
- Option 4: Gravitational Force

2. **Analyze Option 1: Time**:
- Time is a measure of duration. It has only magnitude (e.g., 5 seconds) and no direction.
- **Conclusion**: Time is a scalar quantity. Thus, Option 1 is incorrect.

3. **Analyze Option 2: Electric Current**:
- Electric current is the flow of electric charge and has a defined direction (e.g., from positive to negative).
- However, it does not follow vector addition laws like the triangle law or parallelogram law.
- **Conclusion**: Electric current is not considered a vector quantity. Thus, Option 2 is incorrect.

4. **Analyze Option 3: Velocity of Light**:
- The speed of light is a constant value (approximately 3 x 10^8 m/s) and does have a direction when we talk about light traveling in space.
- However, the term "velocity of light" is often used interchangeably with "speed of light," and it is important to note that it is the speed that is constant, not the velocity in the traditional vector sense.
- **Conclusion**: The term "velocity of light" can be misleading, and it is not strictly a vector quantity in the context given. Thus, Option 3 is incorrect.

5. **Analyze Option 4: Gravitational Force**:
- Gravitational force is the force of attraction between two masses. It has both magnitude (calculated using the formula \( F = \frac{G m_1 m_2}{r^2} \)) and direction (towards each other).
- **Conclusion**: Gravitational force is a vector quantity because it has both magnitude and direction. Thus, Option 4 is correct.

### Final Answer:
The vector quantity among the options given is **Gravitational Force** (Option 4).

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