To correctly address the question, we need to analyze both the Assertion (A) and Reason (R) given, and determine their correctness and the relationship between them.
This assertion is based on the periodic trends observed in the periodic table. As we move from left to right across a period, elements gradually change from being metals to non-metals. This is due to the increase in nuclear charge and a corresponding decrease in the size of the atoms, leading to stronger attraction for outer electrons, which is characteristic of non-metals. Therefore, the assertion is true.
We need to understand the relationship between ionization enthalpy, electron gain enthalpy, and the metallic/non-metallic nature of elements:
Based on the definitions, the increase in ionization enthalpy as we move across a period does explain why metallic character decreases and non-metallic character increases. Therefore, the reason provided supports and explains the assertion correctly.
Conclusion: Both Assertion (A) and Reason (R) are correct and (R) is the correct explanation of (A). Therefore, the correct option is:

Why is \( Cr^{2+} \) strongly reducing while \( Mn^{3+} \) is strongly oxidizing?
| List - I(Block/group in periodic table) | List - II(Element) |
|---|---|
| (A) Lanthanoid | (I) Ce |
| (B) d-block element | (II) As |
| (C) p-block element | (III) Cs |
| (D) s-block element | (IV) Mn |