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

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

Official previous-year question

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

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

Official previous-year question

Held on 25 Jan 2023 · Verified 6 Jul 2026.

Did you get this right?

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 ${\mu }_{s}$

Your note

JEE Main Inorganic Chemistry in other years

Keep practicing Inorganic Chemistry

Work through every JEE Main Inorganic Chemistry PYQ, year by year.

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JEE Main 2023 — Chemistry Inorganic Chemistry

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Solution

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JEE Main Inorganic Chemistry in other years

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Physical Chemistry

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JEE Main 2023 — Chemistry Inorganic Chemistry

Did you get this right?

Solution

Your note

JEE Main Inorganic Chemistry in other years

More JEE Main Inorganic Chemistry questions

Other Chemistry topics for JEE Main

Physical Chemistry

Organic Chemistry

Keep practicing Inorganic Chemistry