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 find the principal and azimuthal quantum numbers for 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 of an electron and is represented by a positive integer.
- In the notation "4f", the number "4" corresponds to the principal quantum number.
- Therefore, \( n = 4 \).

2. **Identify the Azimuthal Quantum Number (l)**:
- The azimuthal quantum number (l) defines the shape of the orbital and is associated with the subshells.
- The values of l for different subshells are as follows:
- s subshell: \( l = 0 \)
- p subshell: \( l = 1 \)
- d subshell: \( l = 2 \)
- f subshell: \( l = 3 \)
- Since we are dealing with the "f" subshell in "4f", we have \( l = 3 \).

3. **Final Answer**:
- The principal quantum number (n) is 4 and the azimuthal quantum number (l) is 3.
- Therefore, the answer is \( n = 4 \) and \( l = 3 \).