The number of orbitals in d sub-shell is

Options

A. 1
B. 3
C. 5
D. 7

Answer

To determine the number of orbitals in the d sub-shell, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Electron Shells and Sub-shells**:
- Electrons are arranged in shells around the nucleus of an atom. Each shell can contain one or more sub-shells.

2. **Identifying Sub-shell Types**:
- The sub-shells are categorized as s, p, d, and f. Each type of sub-shell has a specific number of orbitals:
- s sub-shell has 1 orbital
- p sub-shell has 3 orbitals
- d sub-shell has 5 orbitals
- f sub-shell has 7 orbitals

3. **Focusing on the d Sub-shell**:
- The d sub-shell is found in the third shell (n=3) and higher. It is important to note that the d sub-shell contains 5 orbitals.

4. **Conclusion**:
- Therefore, the number of orbitals in the d sub-shell is **5**.

### Final Answer:
The number of orbitals in the d sub-shell is **5**.

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