The spin–only magnetic |d and f Block Elements| JEEMAIN 2022

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JEE MAIN 2022

26-06-2022 S1

Question

The spin–only magnetic moment value of the most basic oxide of vanadium among $\mathrm{V}_2 \mathrm{O}_3, \mathrm{~V}_2 \mathrm{O}_4$ and $\mathrm{V}_2 \mathrm{O}_5$ is ________ B.M. (Nearest Integer)

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Solution

Most basic oxide is $\mathrm{V}_2 \mathrm{O}_3$ $$ \begin{aligned} & \mathrm{V}^{+3} \rightarrow\left[\mathrm{~A}_{\mathrm{r}}\right] 3 \mathrm{~d}^2 \\ & \mu=\sqrt{2(2+2)}=2.84 \mathrm{BM} \approx 3 \end{aligned} $$

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