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Q. The spin only magnetic moments (in BM) for free $T i^{3+}, V^{2+}$ and $S c^{3+}$ ions respectively are $(At. No. Sc: 21, Ti : 22, V: 23)$

JEE MainJEE Main 2021Structure of Atom

Solution:

$\mu=\sqrt{n(n+2)} B M$
$T 1^{+3}=[A r] 3 d^{1} \,\, n=1 \,\,\mu=1.73\, B M$
$V^{+2}=[A r] 3 d^{3}\,\, n=3\,\, \mu=3.87\, B M$
$S c^{+3}=[A r] 3 d^{0} 4 s^{0}\,\, n=0\,\, \mu=0$