Discuss the possibility of the atom for existing in the following electronic configurations :
(i) `1s^(2)2s^(2)2p_(x)^(1)` (ii) `1s^(2)2s^(1)2p_(x)^(1)2p_(y)^(1) 2p_(z)^(1)` (iii) `1s^(2)2s^(1)2p_(x)^(2) 2p_(y)^(1)` (iv) `1s^(2)2s^(2) 3s^(2)`

Explanation

To determine the possibility of the atom existing in the given electronic configurations, we will analyze each configuration based on the principles of electron filling, specifically the Aufbau principle, Pauli exclusion principle, and Hund's rule.

### Step-by-step Analysis:

**(i) Configuration: `1s^(2)2s^(2)2p_(x)^(1)`**

1. **Identify the Shells and Orbitals**:
- 1s: 2 electrons (filled)
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