Given the notation for the sub-shell deotected by the following quantum number
a. `n = 5, l = 2 ` b. `n = 6 , l= 3 ` c. `n = 4 ,l = 0 ` d ` n = 5,l = 4`

Explanation

To determine the notation for the subshells based on the given quantum numbers, we will follow these steps:

### Step-by-Step Solution:

1. **Understanding Quantum Numbers**:
- The principal quantum number (n) indicates the main energy level or shell.
- The azimuthal quantum number (l) indicates the subshell and is associated with the shape of the orbital:
- \( l = 0 \) corresponds to the s subshell
- \( l = 1 \) corresponds to the p subshell
- \( l = 2 \) corresponds to the d subshell
- \( l = 3 \) corresponds to the f subshell
- \( l = 4 \) corresponds to the g subshell

2. **Part (a): \( n = 5, l = 2 \)**:
- Here, \( n = 5 \) indicates the fifth energy level.
- \( l = 2 \) indicates the d subshell.
- Therefore, the notation is **5d**.

3. **Part (b): \( n = 6, l = 3 \)**:
- Here, \( n = 6 \) indicates the sixth energy level.
- \( l = 3 \) indicates the f subshell.
- Therefore, the notation is **6f**.

4. **Part (c): \( n = 4, l = 0 \)**:
- Here, \( n = 4 \) indicates the fourth energy level.
- \( l = 0 \) indicates the s subshell.
- Therefore, the notation is **4s**.

5. **Part (d): \( n = 5, l = 4 \)**:
- Here, \( n = 5 \) indicates the fifth energy level.
- \( l = 4 \) indicates the g subshell.
- Therefore, the notation is **5g**.

### Final Answers:
- a. **5d**
- b. **6f**
- c. **4s**
- d. **5g**