$\mu_1=\sqrt{3(3+2)}=\sqrt{15}\,BM$
Spin magnetic moment of $\left[ Cr \left( H _2 O \right)_6\right]^{3+}\left( t _{2 g }^3 e _{ g }^0\right)$
$\mu_2=\sqrt{3(3+2)}=\sqrt{15}\,BM$
$\frac{\mu_1}{\mu_2}=\frac{\sqrt{15}}{\sqrt{15}}=1$
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