The maximum number of sub-level, orbital and electrons in N shell of an atom are respectively

Options

A. 4,12,32
B. 4,16,30
C. 4,16,32
D. 4,32,64

Answer

To determine the maximum number of sub-levels, orbitals, and electrons in the N shell of an atom, we can follow these steps:

### Step-by-Step Solution

1. **Identify the Principal Quantum Number (n)**:
- The N shell corresponds to the principal quantum number \( n = 4 \).

2. **Calculate the Number of Sub-levels**:
- The number of sub-levels (or sub-shells) in a shell is equal to the principal quantum number \( n \).
- Therefore, for \( n = 4 \), the number of sub-levels is:
\[ \text{Number of sub-levels} = n = 4 \]

3. **Calculate the Number of Orbitals**:
- The number of orbitals in a shell is given by the formula \( n^2 \).
- Thus, for \( n = 4 \):
\[ \text{Number of orbitals} = n^2 = 4^2 = 16 \]

4. **Calculate the Maximum Number of Electrons**:
- The maximum number of electrons that can occupy a shell is given by the formula \( 2n^2 \).
- Therefore, for \( n = 4 \):
\[ \text{Maximum number of electrons} = 2n^2 = 2 \times 4^2 = 2 \times 16 = 32 \]

5. **Summarize the Results**:
- The maximum number of sub-levels in the N shell is 4.
- The maximum number of orbitals in the N shell is 16.
- The maximum number of electrons in the N shell is 32.

### Final Answer
The maximum number of sub-levels, orbitals, and electrons in the N shell of an atom are respectively:
- **Sub-levels**: 4
- **Orbitals**: 16
- **Electrons**: 32