Find the value of spin only magnetic moment for chromium cation in +2 state.

Find the value of spin only magnetic moment for chromium cation in +2 state.
  1. $3.87 \mathrm{BM}$
  2. $4.90 \mathrm{BM}$
  3. $2.84 \mathrm{BM}$
  4. $1.73 \mathrm{BM}$

Solution

$\mathrm{Cr}^{2+}:[\mathrm{Ar}] 3 \mathrm{~d}^4 \Rightarrow \mathrm{n}=4$ $\therefore \quad$ Spin-only magnetic moment, $\begin{aligned} \mu & =\sqrt{\mathrm{n}(\mathrm{n}+2)} \mathrm{BM} \\ & =\sqrt{4(4+2)}=\sqrt{24} \mathrm{BM} \\ & =4.90 \mathrm{BM} \end{aligned}$

Asked in: MHT CET 2023 (09 May Shift 1)

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