Which of the following physical quantities is an axial vector ?

Options

A. displacement
B. force
C. velocity
D. torque

Answer

To determine which of the given physical quantities is an axial vector, we will analyze each option step by step.

### Step 1: Understand the concept of axial vectors
Axial vectors are vectors that represent rotational effects and are associated with an axis of rotation. They are different from polar vectors, which represent linear quantities.

### Step 2: Analyze the options
1. **Displacement**: This is a vector quantity that represents the change in position of an object. It is a polar vector, not an axial vector.

2. **Force**: This is also a polar vector that represents the interaction that causes an object to change its velocity. It does not represent rotational effects directly.

3. **Velocity**: This is a vector quantity that represents the rate of change of displacement. Like displacement and force, it is a polar vector.

4. **Torque**: Torque is defined as the cross product of the position vector and the force vector (τ = r × F). It represents the rotational effect around an axis and is an axial vector because it has both magnitude and direction along the axis of rotation.

### Step 3: Conclusion
Among the given options, the only quantity that is an axial vector is **Torque**.

### Final Answer
**Torque** is the axial vector among the options provided.

---