If the value of Azimuthal Quantum Numbe l for an electron in a particular subshell is 3, then what will be the maximum value of shell number associated with this electron.

Answer

To solve the problem, we need to determine the maximum value of the principal quantum number (n) associated with the azimuthal quantum number (L) given as 3.

### Step-by-step Solution:

1. **Understanding Quantum Numbers**:
- The principal quantum number (n) indicates the shell or energy level of an electron.
- The azimuthal quantum number (L) indicates the subshell and can take values from 0 to (n-1).

2. **Given Information**:
- We are given that the azimuthal quantum number (L) is 3.

3. **Finding the Relationship**:
- The relationship between n and L is given by the equation:
\[ L = n - 1 \]
- This means that for a given value of L, we can find n by rearranging the equation:
\[ n = L + 1 \]

4. **Substituting the Given Value**:
- Now, substituting the value of L into the equation:
\[ n = 3 + 1 \]
- Therefore:
\[ n = 4 \]

5. **Conclusion**:
- The maximum value of the shell number (n) associated with the electron, when L is 3, is 4.

### Final Answer:
The maximum value of the shell number associated with this electron is **4**.