'Spin only' magnetic moment is same for which of the following ions? A. Ti3+ B. Cr2+ C. Mn2+ D. Fe2+

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Question

'Spin only' magnetic moment is same for which of the following ions? A. Ti3+ B. Cr2+ C. Mn2+ D. Fe2+ E. Sc3+. Choose the most appropriate answer from the options given below. (1) B and D only (2) A and E only (3) B and C only (4) A and D only

Accepted Answer

Correct Answer: a — B and D onlyStep-by-step Solution:The spin-only magnetic moment (μ) is given by μ = √[n(n+2)] BM, where n is the number of unpaired electrons. We determine the electronic configurations of the ions:Ti³⁺ (Z=22): [Ar] 3d¹ → n=1 → μ = √(1×3)=√3 ≈ 1.73 BM.Cr²⁺ (Z=24): [Ar] 3d⁴. In high-spin (common for aqueous complexes), n=4 → μ = √(4×6)=√24 ≈ 4.90 BM.Mn²⁺ (Z=25): [Ar] 3d⁵ → n=5 → μ = √(5×7)=√35 ≈ 5.92 BM.Fe²⁺ (Z=26): [Ar] 3d⁶. In high-spin, n=4 → μ = √24 ≈ 4.90 BM.Sc³⁺ (Z=21): [Ar] 3d⁰ → n=0 → μ = 0 BM.Thus, Cr²⁺ and Fe²⁺ both have n=4 and the same spin-only magnetic moment (≈4.90 BM). Therefore, the correct answer is B and D only (option a).Key Concepts: Spin-only magnetic moment, number of unpaired electrons, electronic configurations of transition metal ions, high-spin and low-spin complexes, calculation of μ = √(n(n+2)) BM.

'Spin only' magnetic moment is same for which of the following ions? A. Ti3+ B. Cr2+ C. Mn2+ D. Fe2+ E. Sc3+. Choose the most appropriate answer from the options given below. (1) B and D only (2) A and E only (3) B and C only (4) A and D only

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'Spin only' magnetic moment is same for which of the following ions? A. Ti3+ B. Cr2+ C. Mn2+ D. Fe2+ E. Sc3+. Choose the most appropriate answer from the options given below. (1) B and D only (2) A and E only (3) B and C only (4) A and D only

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