The values of l are governed by the value of.............

Answer

To answer the question, "The values of l are governed by the value of...", we need to understand the relationship between the azimuthal quantum number (l) and the principal quantum number (n).

### Step-by-Step Solution:

1. **Understanding Quantum Numbers**:
- Quantum numbers describe the properties of atomic orbitals and the electrons in those orbitals.
- There are four quantum numbers: principal quantum number (n), azimuthal quantum number (l), magnetic quantum number (m_l), and spin quantum number (m_s).

2. **Principal Quantum Number (n)**:
- The principal quantum number (n) indicates the main energy level or shell of an electron.
- It can take positive integer values: n = 1, 2, 3, 4, etc.

3. **Azimuthal Quantum Number (l)**:
- The azimuthal quantum number (l) is associated with the shape of the orbital and can take values from 0 to (n-1).
- For example, if n = 4, then l can be 0, 1, 2, or 3.

4. **Determining Values of l**:
- The values of l correspond to different types of orbitals:
- l = 0 corresponds to s orbitals
- l = 1 corresponds to p orbitals
- l = 2 corresponds to d orbitals
- l = 3 corresponds to f orbitals

5. **Conclusion**:
- Therefore, the values of l are governed by the value of the principal quantum number (n).

### Final Answer:
The values of l are governed by the value of **n** (principal quantum number).