Which of the following orbitals have a dumb bell shape?

Options

A. s
B. p
C. d
D. f

Explanation

To determine which of the following orbitals have a dumbbell shape, we can analyze the shapes of the different types of orbitals: s, p, d, and f.

### Step-by-Step Solution:

1. **Identify the Shape of s Orbitals**:
- The s orbital is spherical in shape. This means it does not have a dumbbell shape.
- **Conclusion**: s orbital does not have a dumbbell shape.

2. **Identify the Shape of p Orbitals**:
- The p orbitals are known to have a dumbbell shape. They consist of two lobes on either side of the nucleus, resembling a dumbbell.
- There are three types of p orbitals: px, py, and pz, which are oriented along the x, y, and z axes respectively.
- **Conclusion**: p orbitals have a dumbbell shape.

3. **Identify the Shape of d Orbitals**:
- The d orbitals generally have a double dumbbell shape, except for the dz² orbital, which has a different configuration. However, the majority of d orbitals can be considered to have a more complex shape than a simple dumbbell.
- **Conclusion**: d orbitals do not have a simple dumbbell shape.

4. **Identify the Shape of f Orbitals**:
- The f orbitals have a more complex structure and do not conform to a simple dumbbell shape.
- **Conclusion**: f orbitals do not have a dumbbell shape.

### Final Answer:
The only orbital that has a dumbbell shape is the **p orbital**.