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 for p-orbitals, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Quantum Numbers:**
- The quantum numbers describe the properties of atomic orbitals and the electrons in them. There are four quantum numbers: principal quantum number (n), azimuthal quantum number (l), magnetic quantum number (m_l), and spin quantum number (m_s).

2. **Identify the Azimuthal Quantum Number (l) for p-orbitals:**
- For p-orbitals, the azimuthal quantum number (l) is equal to 1. This is because:
- s-orbitals correspond to l = 0
- p-orbitals correspond to l = 1
- d-orbitals correspond to l = 2
- f-orbitals correspond to l = 3

3. **Determine the Range of Magnetic Quantum Number (m_l):**
- The magnetic quantum number (m_l) can take on values ranging from -l to +l. This means:
- m_l = -l, -l + 1, ..., 0, ..., l - 1, l
- For l = 1 (p-orbital), the possible values of m_l are:
- m_l = -1, 0, +1

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

5. **Conclusion:**
- The complete set of possible values for the magnetic quantum number for p-orbitals is -1, 0, and +1.

### Final Answer:
The possible values of the magnetic quantum number for p-orbitals are -1, 0, and +1.

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