which of the following orbitals has three angular nodes?

Options

A. 2s
B. 4s
C. 3d
D. 6f

Answer

To determine which orbital has three angular nodes, we need to understand the concept of angular nodes and how they relate to the quantum numbers of orbitals.

### Step-by-Step Solution:

1. **Understanding Angular Nodes**:
- Angular nodes are regions in an orbital where the probability of finding an electron is zero. They are also known as nodal planes.
- The number of angular nodes in an orbital is determined by the azimuthal quantum number (l).

2. **Quantum Numbers**:
- The azimuthal quantum number (l) is associated with the shape of the orbital:
- For s-orbitals, l = 0 (0 angular nodes)
- For p-orbitals, l = 1 (1 angular node)
- For d-orbitals, l = 2 (2 angular nodes)
- For f-orbitals, l = 3 (3 angular nodes)

3. **Identifying the Orbital with 3 Angular Nodes**:
- Since we are looking for an orbital with three angular nodes, we need to find the orbital that corresponds to l = 3.
- The only orbital that has l = 3 is the f-orbital.

4. **Conclusion**:
- Therefore, the orbital that has three angular nodes is the f-orbital.

### Final Answer:
The orbital that has three angular nodes is the f-orbital.