How many of the following metal ions have… - JEE Main 2023 Chemistry PYQ | PrepForBharat

JEE Main 2023 — Chemistry Inorganic Chemistry

2023integermedium

How many of the following metal ions have similar value of spin only magnetic moment in gaseous state? ________

(Given: Atomic number $:V,23;\mathrm{Cr},24;\mathrm{Fe},26;\mathrm{Ni},28)$

${V}^{3+},{\mathrm{Cr}}^{3+},{\mathrm{Fe}}^{2+},{\mathrm{Ni}}^{3+}$

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Held on 25 Jan 2023 · Verified 6 Jul 2026.

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Solution

From magnetic moment formula:

${\mu }_{s}=\sqrt{n(n+2)}\mathrm{BM}(n=$ no. of unpaired electrons )

Ion E.C. n

${V}^{3+}:[\mathrm{Ar}]3{d}^{2}4{s}^{0}2$

${\mathrm{Cr}}^{3+}:[\mathrm{Ar}]3{d}^{3}4{s}^{0}3$

${\mathrm{Fe}}^{2+}:[\mathrm{Ar}]3{d}^{6}4{s}^{0}4$

${\mathrm{Ni}}^{3+}:[\mathrm{Ar}]3{d}^{7}4{s}^{0}3$

Thus, ${\mathrm{Cr}}^{3+}&{\mathrm{Ni}}^{3+}$ have same value of ${\mu }_{s}$

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