The shape of orbital for which l = 1 is

Options

A. Spherical
B. Dumb-bell
C. Double dumb-bell
D. Circular

Answer

To determine the shape of the orbital for which the azimuthal quantum number \( l = 1 \), we can follow these steps:

### Step 1: Understand the Quantum Number \( l \)
The azimuthal quantum number \( l \) is associated with the shape of the orbital. It can take on integer values starting from 0 up to \( n-1 \), where \( n \) is the principal quantum number.

### Step 2: Identify the Corresponding Orbital Type
For different values of \( l \):
- \( l = 0 \) corresponds to the **s orbital** (spherical shape).
- \( l = 1 \) corresponds to the **p orbital** (dumbbell shape).
- \( l = 2 \) corresponds to the **d orbital** (double dumbbell shape).
- \( l = 3 \) corresponds to the **f orbital** (complex shapes).

### Step 3: Determine the Shape of the Orbital for \( l = 1 \)
Since we are looking for the shape of the orbital when \( l = 1 \), we conclude that it corresponds to the **p orbital**. The p orbital is characterized by its dumbbell shape.

### Conclusion
The shape of the orbital for which \( l = 1 \) is a **dumbbell shape**.

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