Which of the following pairs of ions will have same spin only magnetic moment values within the pair?

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Solution

Q.
Which of the following pairs of ions will have same spin only magnetic moment values within the pair

A.    ${Zn}^{2 +}, {Ti}^{2 +}$
B.    ${Cr}^{2 +}, {Fe}^{2 +}$
C.    ${Ti}^{3 +}, {Cu}^{2 +}$
D.    $V^{2 +}, {Cu}^{+}$

Choose the correct answer from the options given below: [2024]

1 C and D only

2 A and D only

3 A and B only

4 B and C only

Ans.
(4)

Spin only magnetic moment

$(μ) = \sqrt{n (n + 2)}$ B.M.

Ions

Electronic configuration No. of unpaired electrons ( $n$ ) Spin only magnetic moment ( $μ$ )

${Zn}^{2 +}$ $[Ar] 3 d^{10}$ 0 0 B.M.

${Ti}^{2 +}$ $[Ar] 3 d^{2}$ 2 2.82 B.M.

${Cr}^{2 +}$ $[Ar] 3 d^{4}$ 4 4.89 B.M.

${Fe}^{2 +}$ $[Ar] 3 d^{6}$ 4 4.89 B.M.

${Ti}^{3 +}$ $[Ar] 3 d^{1}$ 1 1.73 B.M.

${Cu}^{2 +}$ $[Ar] 3 d^{9}$ 1 1.73 B.M.

$V^{2 +}$ $[Ar] 3 d^{3}$ 3 3.87 B.M.

${Cu}^{+}$ $[Ar] 3 d^{10}$ 0 0 B.M.

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