The possible values of magnetic quantum number for p-orbital are

Options

A. 0
B. `-1,0,+1`
C. `-2,-1,0,+1,+2`
D. `-3,-2,-1,0,+1,+2,+3`

Answer

To determine the possible values of the magnetic quantum number (m_l) for a p-orbital, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Azimuthal Quantum Number (l)**:
- For p-orbitals, the azimuthal quantum number (l) is equal to 1. This is a fundamental property of p-orbitals.

2. **Understand the Range of Magnetic Quantum Number (m_l)**:
- The magnetic quantum number (m_l) can take on values that range from -l to +l, including 0. This means that the possible values of m_l are all integers within this range.

3. **Calculate the Possible Values of m_l**:
- Since l = 1 for p-orbitals, we can substitute this into the range:
- The possible values of m_l are:
- m_l = -1
- m_l = 0
- m_l = +1

4. **List the Possible Values**:
- Therefore, the possible values of the magnetic quantum number for a p-orbital are:
- m_l = -1, 0, +1

5. **Conclusion**:
- The correct answer is that the possible values of the magnetic quantum number for p-orbitals are -1, 0, and +1.