The quantum number which is related to the orbital angular momentum is

Options

A. subsidiary quantum number
B. principal quantum number
C. magnetic quantum number
D. spin quantum number

Answer

To determine which quantum number is related to the orbital angular momentum, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Angular Momentum**:
- Orbital angular momentum in quantum mechanics is a property of electrons in atoms that describes their motion around the nucleus.

2. **Identifying the Relevant Quantum Number**:
- The quantum number that describes the shape of the orbital and is directly related to the orbital angular momentum is the azimuthal quantum number, denoted as \( l \).

3. **Mathematical Representation**:
- The orbital angular momentum \( L \) can be mathematically expressed as:
\[ L = \sqrt{l(l + 1)} \cdot \frac{h}{2\pi} \]
- Here, \( h \) is Planck's constant, and \( l \) is the azimuthal quantum number.

4. **Names of the Quantum Number**:
- The azimuthal quantum number \( l \) is also known by several names:
- Angular momentum quantum number
- Subsidiary quantum number

5. **Conclusion**:
- Since the question asks for the quantum number related to orbital angular momentum, the correct answer is the azimuthal quantum number, also referred to as the subsidiary quantum number.

### Final Answer:
The quantum number which is related to the orbital angular momentum is the **subsidiary quantum number** (or azimuthal quantum number).

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