The principal and azimuthal quantum number of electrons in 4f orbitals are

Options

A. 4,2
B. 4,4
C. 4,3
D. 3,4

Answer

To solve the question regarding the principal and azimuthal quantum numbers of electrons in 4f orbitals, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Principal Quantum Number (n)**:
- The principal quantum number (n) indicates the main energy level or shell of an electron. In the case of the 4f orbital, the number "4" indicates that the principal quantum number is 4.
- Therefore, we have:
\[ n = 4 \]

2. **Identify the Azimuthal Quantum Number (l)**:
- The azimuthal quantum number (l) defines the subshell or shape of the orbital. The values of l are determined based on the type of subshell:
- l = 0 corresponds to s subshell
- l = 1 corresponds to p subshell
- l = 2 corresponds to d subshell
- l = 3 corresponds to f subshell
- Since we are dealing with the f orbital, we can conclude:
\[ l = 3 \]

3. **Combine the Results**:
- The principal quantum number and the azimuthal quantum number for the electrons in the 4f orbital are:
\[ (n, l) = (4, 3) \]

### Final Answer:
The principal and azimuthal quantum numbers of electrons in 4f orbitals are \( (4, 3) \).

---