The number of degenerate f-orbitals in any quantum level is

Options

A. 7
B. 14
C. 4
D. 10

Answer

To determine the number of degenerate f-orbitals in any quantum level, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Orbitals**:
- Orbitals are regions in an atom where there is a high probability of finding electrons. Each type of orbital (s, p, d, f) has a specific shape and number of orientations.

2. **Identifying f-Orbitals**:
- The f-orbitals are one of the types of orbitals found in an atom. They are more complex in shape compared to s, p, and d orbitals.

3. **Counting f-Orbitals**:
- The f-subshell contains a total of **7 orbitals**. These orbitals are often labeled as f₁, f₂, f₃, f₄, f₅, f₆, and f₇.

4. **Degeneracy of Orbitals**:
- Degenerate orbitals are orbitals that have the same energy level. All 7 f-orbitals are degenerate, meaning they have the same energy.

5. **Quantum Levels**:
- The f-orbitals start to appear from the 4th quantum level (n=4) onwards. This means that in quantum levels 1, 2, and 3, f-orbitals do not exist.

6. **Conclusion**:
- Since there are 7 f-orbitals and they are all degenerate, the number of degenerate f-orbitals in any quantum level where f-orbitals exist is **7**.

### Final Answer:
The number of degenerate f-orbitals in any quantum level is **7**.