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JEE Advanced levelSingle correct optionDifficulty 3 of 3df076

Arrange the following ions in increasing order of spin-only magnetic moment (high-spin where applicable): $Mn X^{3 +}$ , $V X^{3 +}$ , $Cu X^{2 +}$ , $Co X^{2 +}$ .

A $V X^{3 +} < Cu X^{2 +} < Mn X^{3 +} < Co X^{2 +}$
B $Cu X^{2 +} < V X^{3 +} < Co X^{2 +} < Mn X^{3 +}$
C $Cu X^{2 +} < Co X^{2 +} < V X^{3 +} < Mn X^{3 +}$
D $Mn X^{3 +} < Co X^{2 +} < V X^{3 +} < Cu X^{2 +}$

Answer: B

Configurations:

Cu X^{2 +}

d^{9}

(1 unpaired, 1.73 BM);

V X^{3 +}

d^{2}

(2, 2.83 BM);

Co X^{2 +}

d^{7}

high spin (3, 3.87 BM);

Mn X^{3 +}

d^{4}

high spin (4, 4.9 BM). Hence the increasing order is

Cu X^{2 +} < V X^{3 +} < Co X^{2 +} < Mn X^{3 +}

.

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