What is the value of effective magnetic moment found in $+3$ oxidation state of Chromium $(\mathrm{Z}=24) ?$

What is the value of effective magnetic moment found in $+3$ oxidation state of Chromium $(\mathrm{Z}=24) ?$
  1. $1.73 \mathrm{BM}$
  2. $3.87 \mathrm{BM}$
  3. $4.90 \mathrm{BM}$
  4. $2.84 \mathrm{BM}$

Solution

$\mathrm{Cr}^{3+} \longrightarrow 3 \mathrm{~d}^{3}$ (3 unpaired electrons) $\therefore \mu=\sqrt{\mathrm{n}(\mathrm{n}+2)}=\sqrt{3(3+2)}=3.87 \mathrm{BM}$

Asked in: MHT CET 2020 (15 Oct Shift 2)

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