What is spin only magnetic moment of an element having one unpaired electron?

What is spin only magnetic moment of an element having one unpaired electron?
  1. $0.34 \mathrm{BM}$
  2. $1.0 \mathrm{BM}$
  3. $1.73 \mathrm{BM}$
  4. $3.1 \mathrm{BM}$

Solution

Spin only magnetic moment $\begin{aligned} & \mu=\sqrt{\mathrm{n}(\mathrm{n}+2)} \\ & \mathrm{n}=\text { number of unpaired electrons } \\ & \mathrm{n}=1 \\ & \mu=\sqrt{1+2}=\sqrt{3}=1.73 \mathrm{BM} \end{aligned}$

Asked in: MHT CET 2021 (21 Sep Shift 1)

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