For similar orbitals having different values of n:
A
the most probable distance increases with increases in n
B
the most probable distance decrease with increase in n
C
the most probable distance remains constant with increase in n
D
none of these
Text Solution
AI Generated Solution
The correct Answer is:
To solve the question about the relationship between the most probable distance of electrons in similar orbitals with different values of the principal quantum number (n), we can follow these steps:
### Step-by-Step Solution:
1. **Understand the Principal Quantum Number (n)**:
- The principal quantum number (n) indicates the energy level or shell of an electron in an atom. The values of n can be 1, 2, 3, etc., corresponding to the K, L, M shells, and so on.
2. **Identify the Relationship Between n and Most Probable Distance**:
- The most probable distance of an electron from the nucleus increases as n increases. This is because as you move to higher energy levels (higher n), the average distance of the electron from the nucleus also increases.
3. **Visualize the Electron Shells**:
- Imagine the nucleus at the center with concentric circles representing different shells. The K shell (n=1) is closest to the nucleus, followed by the L shell (n=2), and then the M shell (n=3). Each subsequent shell is further away from the nucleus.
4. **Conclusion**:
- Based on the understanding that the most probable distance increases with increasing n, we can conclude that the most probable distance increases with an increase in the principal quantum number.
5. **Final Answer**:
- The correct statement is: "The most probable distance increases with an increase in n."
