The conclusions of Rutherford scattering experiment does not include:

Options

A. `alpha`- Particle can come within a distance of the order of `10^(-14)` m of the nucleus.
B. The radius of the nucleus is less than `1 0^(-14)` m
C. Scattering follows Coulomb's law
D. The ( +) vely charged particles of an atom move with extremely high velocities.

Answer

To solve the question regarding the conclusions of Rutherford's scattering experiment, we will analyze the conclusions drawn from the experiment and identify which one does not belong.

### Step-by-Step Solution:

1. **Understanding Rutherford's Experiment**:
- Rutherford conducted an experiment where alpha particles were directed at a thin gold foil. The purpose was to study the structure of the atom.

2. **Key Observations from the Experiment**:
- Most of the alpha particles passed through the foil without any deflection.
- A small number of alpha particles were deflected at small angles.
- A very few alpha particles were deflected back at angles close to 180 degrees.

3. **Conclusions Drawn by Rutherford**:
- **Conclusion 1**: Most of the atom is empty space (since most alpha particles passed through).
- **Conclusion 2**: The nucleus is small and contains most of the atom's mass (as indicated by the deflections).
- **Conclusion 3**: The nucleus is positively charged, which is responsible for the deflection of the positively charged alpha particles.

4. **Analyzing the Given Options**:
- **Option 1**: "Alpha particles can come within a distance of the order of \(10^{-14}\) m of the nucleus." (This is true based on the calculations of the distance of closest approach.)
- **Option 2**: "The radius of the nucleus is less than \(10^{-14}\) m." (This is also true as the radius of the nucleus is indeed on the order of \(10^{-15}\) m.)
- **Option 3**: "Scattering follows Coulomb's law." (This is true as the deflection of alpha particles is due to electrostatic forces.)
- **Option 4**: "The positively charged particle of an atom moves with extremely high velocity." (This is misleading because while alpha particles have high kinetic energy, the statement implies a generalization about all positively charged particles, which is not a conclusion of the experiment.)

5. **Conclusion**:
- The statement that does not belong to the conclusions of Rutherford's experiment is **Option 4**.

### Final Answer:
The conclusion of Rutherford's scattering experiment that does not include is **Option 4: The positively charged particle of an atom moves with extremely high velocity.**