Any p orbital can accommodate up to

Options

A. Four electrons
B. Two electrons with parallel spin
C. Six electrons
D. Two electrons with opposite spin

Explanation

To solve the question "Any p orbital can accommodate up to," we need to understand the characteristics of p orbitals and how many electrons they can hold.

### Step-by-Step Solution:

1. **Understanding p Orbitals**:
- P orbitals are one of the types of atomic orbitals. Each p subshell contains three p orbitals: \( p_x \), \( p_y \), and \( p_z \).
- Each of these orbitals has a characteristic dumbbell shape.

2. **Electron Capacity of Orbitals**:
- According to quantum mechanics, each orbital can hold a maximum of two electrons.
- These electrons must have opposite spins to comply with the Pauli Exclusion Principle.

3. **Applying the Pauli Exclusion Principle**:
- The Pauli Exclusion Principle states that no two electrons in an atom can have the same set of four quantum numbers.
- For electrons in the same orbital, three quantum numbers will be the same (principal quantum number \( n \), azimuthal quantum number \( l \), and magnetic quantum number \( m \)), and the only differing quantum number will be the spin quantum number \( s \).
- Thus, one electron will have a spin of \( +\frac{1}{2} \) and the other will have a spin of \( -\frac{1}{2} \).

4. **Conclusion**:
- Therefore, any p orbital can accommodate a maximum of **2 electrons with opposite spins**.

### Final Answer:
Any p orbital can accommodate up to **2 electrons with opposite spin**.

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