Step 1: Understanding Periodic Trends
1. Electron Gain Enthalpy:
The correct trend follows \( S>Se>O \), as oxygen has a lower electron gain enthalpy due to its small size and electron repulsion.
2. Electronegativity:
Fluorine has the highest electronegativity, followed by oxygen and chlorine, making \( F>O>Cl \) a correct order.
3. Metallic Radius:
Across a period, metallic radius decreases, while down a group, it increases. The given order \( Na>Li>Al \) is incorrect since aluminum is a metalloid and has a much smaller atomic radius than sodium and lithium.
4. Metallic Nature:
Metallic nature increases down the group. The correct order should be \( Ba>K>Na \), not \( Na>K>Ba \).
Thus, the incorrect arrangement is option (4) \( Na>K>Ba \).