Maxwell distribution is true when

Options

A. system contain single object
B. system contains two objects
C. system is empty
D. system contains large number of objects

Answer

### Step-by-Step Solution:

1. **Understanding Maxwell Distribution**: The Maxwell distribution describes the distribution of speeds of particles in a gas. It is characterized by three key velocities: the most probable velocity, the average velocity, and the root mean square (RMS) velocity.

2. **Conditions for Validity**: For the Maxwell distribution to be valid, certain conditions must be met. One of the primary conditions is that there must be a sufficiently large number of particles in the system. This allows for the statistical nature of the distribution to emerge.

3. **Analyzing the Options**:
- **Option A**: The system contains a single object. This cannot yield a Maxwell distribution since there are not enough particles to establish a statistical distribution.
- **Option B**: The system has two objects. Similar to option A, two particles are insufficient to create a meaningful distribution.
- **Option C**: The system is empty. An empty system cannot have any distribution of velocities since there are no particles present.
- **Option D**: The system has a large number of objects. This is the correct condition for the Maxwell distribution to hold true, as it requires a significant number of particles to accurately depict the statistical distribution of their velocities.

4. **Conclusion**: The Maxwell distribution is true when the system has a large number of objects (particles). Therefore, the correct answer is option D.