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Q. The calculated spin only magnetic moments of $\left[ Cr \left( NH _{3}\right)_{6}\right]^{3+}$ and $\left[ CuF _{6}\right]^{3-}$ in BM, respectively, are (Atomic number of $Cr$ and $Cu$ are $24$ and $29$ , respectively)

JEE AdvancedJEE Advanced 2021

Solution:

$\left[ Cr \left( NH _{3}\right)_{6}\right]^{3+}$ has $d ^{3}$ configuration, so as per $CFT$,
$N =3$ and $\mu=\sqrt{3(3+2)}=3.87 \,BM$
$\left[ CuF _{6}\right]^{3-}$, has $d ^{8}$ configuration and weak field ligand.
So $N =2$ and $\mu=\sqrt{2(2+2)}=2.84\, BM$