which of the following subshell can accommodate as many as 10 electrons?

Options

A. (a) 2d
B. (b) 3d
C. `(c) 3d_(xy)`
D. (d) `3d_z2`

Answer

To determine which subshell can accommodate as many as 10 electrons, we can follow these steps:

### Step-by-Step Solution:

1. **Understand Subshells and Their Capacity**:
- Subshells are designated by the letters s, p, d, and f. Each subshell has a specific number of orbitals.
- The capacity of a subshell is determined by the number of orbitals it contains and the fact that each orbital can hold a maximum of 2 electrons.

2. **Identify the Given Options**:
- The options provided are:
- A) 2d
- B) 3d
- C) 3dxy
- D) 3dz2

3. **Evaluate Each Option**:
- **Option A: 2d**:
- The 2d subshell does not exist in nature. D orbitals start from the third energy level (n=3). Therefore, this option is incorrect.

- **Option B: 3d**:
- The 3d subshell has 5 orbitals (dxy, dyz, dzx, dz2, dx2y2).
- Each of these 5 orbitals can hold 2 electrons.
- Total capacity = 5 orbitals × 2 electrons/orbital = 10 electrons.
- This option is correct.

- **Option C: 3dxy**:
- The 3dxy is a specific orbital within the 3d subshell.
- It can only hold 2 electrons, not 10. Therefore, this option is incorrect.

- **Option D: 3dz2**:
- Similar to 3dxy, the 3dz2 is also a specific orbital within the 3d subshell.
- It can hold only 2 electrons, making this option incorrect as well.

4. **Conclusion**:
- The only subshell that can accommodate 10 electrons is the **3d subshell**.

### Final Answer:
The subshell that can accommodate as many as 10 electrons is **3d**.