To correctly associate elements in List-I with descriptions in List-II, an understanding of their properties and relationships is necessary. The following provides a detailed breakdown and justification:
- (A) Mn2+ - Highest oxidation states: While Mn2+ is a stable oxidation state for manganese (Mn), it is not its highest possible state. However, in the context of matching with List-II, the phrase "highest oxidation states" likely refers to manganese's potential to achieve states up to +7 (e.g., in KMnO4). Therefore, Mn2+ is considered in relation to the overall manganese oxidation state spectrum.
- (B) Spin only Magnetic Moment (III) μs = √n(n + 2) BM: This formula quantifies the spin-only magnetic moment, applicable to transition metal ions such as Mn2+. The presence of unpaired electrons in these ions gives rise to a magnetic moment. This directly corresponds to description III, which presents the formula for calculating the spin-only magnetic moment based on unpaired d-electrons.
- (C) MnO2 - Pyrolusite ore (I): MnO2 is identified as Pyrolusite, a primary ore from which manganese is extracted. Thus, MnO2 matches with Pyrolusite ore.
- (D) Misch metal - An alloy of 4f metal, iron and traces of S, C, Al and Ca (II): Misch metal is an alloy commonly employed in lighter flints and various metallurgical applications. Its composition typically includes rare earth elements (4f metals) such as lanthanum (La) and cerium (Ce), alongside iron and minute quantities of other elements.
Conclusion: The analysis leads to the following correct pairings: (A)- (IV), (B)- (III), (C)- (I), (D)- (II)