Elements `A, B, C, D` and `E` have the following electronic configurations:
A: `1s^(2) 2s^(2) 2p^(1)` B: `1s^(2) 2s^(2) 2p^(6) 3s^(2) 3p^(1)`
C: `1s^(2) 2s^(2) 2p^(6) 3s^(2) 3p^(2)` D: `1s^(2) 2s^(2) 2p^(6) 3s^(2) 3p^(5)`
E: `1s^(2) 2s^(2) 2p^(6) 3s^(2) 3p^(6) 4s^(2)`
Which among these will belong to the same group in the periodic table?

Options

A. A & B
B. B & C
C. C & D
D. D & E

Explanation

To determine which elements among A, B, C, D, and E belong to the same group in the periodic table, we need to analyze their electronic configurations and identify their valence electrons.

### Step-by-Step Solution:

1. **Identify Valence Electrons**:
- The group number in the periodic table is determined by the number of valence electrons in the outermost shell of an element.
- We will examine the electronic configurations of each element to find the number of valence electrons.

2. **Element A**:
- Electronic configuration: `1s² 2s² 2p¹`
- Valence electrons: 2 (from `2s²`) + 1 (from `2p¹`) = **3 valence electrons**.

3. **Element B**:
- Electronic configuration: `1s² 2s² 2p⁶ 3s² 3p¹`
- Valence electrons: 2 (from `3s²`) + 1 (from `3p¹`) = **3 valence electrons**.

4. **Element C**:
- Electronic configuration: `1s² 2s² 2p⁶ 3s² 3p²`
- Valence electrons: 2 (from `3s²`) + 2 (from `3p²`) = **4 valence electrons**.

5. **Element D**:
- Electronic configuration: `1s² 2s² 2p⁶ 3s² 3p⁵`
- Valence electrons: 2 (from `3s²`) + 5 (from `3p⁵`) = **7 valence electrons**.

6. **Element E**:
- Electronic configuration: `1s² 2s² 2p⁶ 3s² 3p⁶ 4s²`
- Valence electrons: 2 (from `4s²`) = **2 valence electrons**.

7. **Compare Valence Electrons**:
- A: 3 valence electrons
- B: 3 valence electrons
- C: 4 valence electrons
- D: 7 valence electrons
- E: 2 valence electrons

8. **Conclusion**:
- Elements A and B both have **3 valence electrons**, which means they belong to the same group (Group 13 of the periodic table).
- Elements C, D, and E have different numbers of valence electrons and thus belong to different groups.

### Final Answer:
Elements A and B belong to the same group in the periodic table.

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