Given below are sets of quantum numbers for given orbitals. Name these orbitals.
(a) `n=3, l=1` (b) `n=5, l=2` (c) `n=4, l=1` (d) `n=2, l=0` (e) `n=4, l=2`

Answer

To name the orbitals based on the given quantum numbers, we can follow these steps:

### Step-by-Step Solution:

1. **Understand Quantum Numbers**:
- The principal quantum number (n) indicates the energy level of the electron.
- The azimuthal quantum number (l) indicates the shape of the orbital.
- The values of l correspond to specific orbital types:
- l = 0 → s orbital
- l = 1 → p orbital
- l = 2 → d orbital
- l = 3 → f orbital

2. **Identify the Orbitals**:
- For each set of quantum numbers, we will combine n and the corresponding l value to name the orbital.

3. **Evaluate Each Case**:
- **(a)** For `n=3, l=1`:
- n = 3, l = 1 → This corresponds to a **3p orbital**.
- **(b)** For `n=5, l=2`:
- n = 5, l = 2 → This corresponds to a **5d orbital**.
- **(c)** For `n=4, l=1`:
- n = 4, l = 1 → This corresponds to a **4p orbital**.
- **(d)** For `n=2, l=0`:
- n = 2, l = 0 → This corresponds to a **2s orbital**.
- **(e)** For `n=4, l=2`:
- n = 4, l = 2 → This corresponds to a **4d orbital**.

### Final Answers:
- (a) 3p
- (b) 5d
- (c) 4p
- (d) 2s
- (e) 4d