AIIMS2018Chemistry-Atomic Structure

AIIMS 2018 Chemistry Electronic Configuration MCQ Question

Type: MCQ-numerical-Medium-Class 11

A gas metal in bivalent state have approximately 23e23\text{e}^- what is spin magnetic moment in elemental state

A

2.872.87

B

5.55.5

C

5.95.9

D

4.94.9

Correct Answer

Option C

Detailed Explanation

To determine the spin magnetic moment (μ\mu) of the metal M in the +2 oxidation state, we first identify the number of unpaired electrons in its electronic configuration, which is 3d⁵ 4s². In this configuration, the 3d subshell has 5 electrons, all of which are unpaired, leading to n=5n = 5. Using the formula μ=n(n+2)\mu = \sqrt{n(n+2)}, we calculate μ=5(5+2)=355.9\mu = \sqrt{5(5+2)} = \sqrt{35} \approx 5.9, indicating that option C (3.9) is incorrect. The other options (A, B, D) do not match the calculated value, as they either overestimate or underestimate the magnetic moment based on the number of unpaired electrons.

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