The farthest shell from the nucleus contains the least energy.(T/F)

Answer

To determine whether the statement "The farthest shell from the nucleus contains the least energy" is true or false, we can analyze the structure of an atom and the energy levels of its electron shells.

### Step-by-Step Solution:

1. **Understanding Atomic Structure**:
- An atom consists of a nucleus at its center, which contains protons and neutrons. Electrons orbit around this nucleus in various energy levels or shells.

2. **Identifying Electron Shells**:
- The shells are designated as K, L, M, N, O, etc. The K shell is the closest to the nucleus, followed by the L shell, M shell, and so on.

3. **Energy Levels of Shells**:
- The energy of the electron shells is inversely related to their distance from the nucleus. This means that the closer a shell is to the nucleus, the lower its energy.

4. **Energy Increase with Distance**:
- As we move away from the nucleus (from K to L to M, etc.), the energy of the shells increases. The K shell has the least energy, while shells further away (like the N or O shells) have higher energy.

5. **Farthest Shell Energy**:
- The shell that is farthest from the nucleus (theoretically at an infinite distance) has the highest energy. In fact, the energy of this shell approaches zero, but it is still considered higher than that of the shells closer to the nucleus.

6. **Conclusion**:
- The statement claims that the farthest shell contains the least energy, which contradicts our findings. Therefore, the statement is **false**.

### Final Answer:
The statement "The farthest shell from the nucleus contains the least energy" is **False**.

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