Which value of l will represent double dumb-bell shape of the orbital?

Options

A. 0
B. 1
C. 2
D. l does not give shape of orbital.

Explanation

To determine which value of \( l \) represents the double dumbbell shape of an orbital, we need to understand the relationship between the azimuthal quantum number \( l \) and the shapes of orbitals.

### Step-by-Step Solution:

1. **Understanding Quantum Numbers**:
- The azimuthal quantum number \( l \) defines the shape of the orbital.
- The values of \( l \) can be 0, 1, 2, 3, etc.

2. **Identifying Orbital Shapes**:
- For \( l = 0 \): The shape is spherical (s orbital).
- For \( l = 1 \): The shape is dumbbell (p orbital).
- For \( l = 2 \): The shape is double dumbbell (d orbital).
- For \( l = 3 \): The shape is more complex (f orbital).

3. **Conclusion**:
- The double dumbbell shape corresponds to the d orbital, which is represented by \( l = 2 \).

Thus, the value of \( l \) that represents the double dumbbell shape of the orbital is **2**.

### Final Answer:
The value of \( l \) that represents the double dumbbell shape of the orbital is **2**.

---