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The number of electrons that can be acco...

The number of electrons that can be accommodated in `d_(xy)` orbital is

A

10

B

4

C

1

D

2

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The correct Answer is:
To determine the number of electrons that can be accommodated in the `d_(xy)` orbital, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Orbital**: The `d_(xy)` orbital is one of the five d orbitals found in the d subshell. The five d orbitals are: `d_(xy)`, `d_(xz)`, `d_(yz)`, `d_(x²-y²)`, and `d_(z²)`. 2. **Understand Electron Capacity**: Each orbital can hold a maximum of two electrons. This is a fundamental principle in quantum mechanics, governed by the Pauli Exclusion Principle. 3. **Apply Pauli's Exclusion Principle**: According to the Pauli Exclusion Principle, no two electrons in an atom can have the same set of quantum numbers. Therefore, each of the two electrons in an orbital must have opposite spins. 4. **Determine the Capacity of `d_(xy)` Orbital**: Since the `d_(xy)` orbital is a single orbital, it can accommodate a maximum of 2 electrons. 5. **Conclusion**: The maximum number of electrons that can be accommodated in the `d_(xy)` orbital is 2. ### Final Answer: The number of electrons that can be accommodated in the `d_(xy)` orbital is **2**. ---
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