Out og the following quantities,which is scalar?

Options

A. Displacement
B. momentum
C. Potential energy
D. Torque

Explanation

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

### Step-by-Step Solution:

1. **Understand the Definitions**:
- **Scalar Quantity**: A quantity that has only magnitude and no direction.
- **Vector Quantity**: A quantity that has both magnitude and direction.

2. **Analyze Each Quantity**:
- **Displacement**: This is a vector quantity because it has both magnitude (the distance) and direction (the direction from the starting point to the endpoint).
- **Momentum**: This is also a vector quantity. Momentum is defined as the product of mass and velocity. While mass is a scalar, velocity is a vector, which gives momentum a direction.
- **Potential Energy**: This is a scalar quantity. Potential energy depends on the position of an object in a field (like gravitational or electric), but it does not have a direction associated with it.
- **Torque**: Torque is a vector quantity because it is defined as the cross product of the radius vector and the force vector (τ = r x F), which means it has both magnitude and direction.

3. **Conclusion**:
- Among the given options, the only quantity that is a scalar is **Potential Energy**.

### Final Answer:
The scalar quantity among the options is **Potential Energy**.

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