The spin-only magnetic moment value of the most basic oxide of vanadium among $\mathrm{V}_{2}\mathrm{O}_{3}$, $\mathrm{V}_{2}\mathrm{O}_{4}$ and $\mathrm{V}_{2}\mathrm{O}_{5}$ is ______ B.M. (Nearest Integer)

JEE Main · 2022 · 26 Jun 2022 · Shift 1 · d and f Block Elements

The spin-only magnetic moment value of the most basic oxide of vanadium among

V_{2} O_{3}

V_{2} O_{4}

and

V_{2} O_{5}

is ______ B.M. (Nearest Integer)

Answer: 3

Among the vanadium oxides,

V_{2} O_{3}

is the most basic because vanadium is in its lowest oxidation state (+3). In

V^{3 +}

, the electronic configuration is

[Ar] 3 d^{2}

with 2 unpaired electrons. Using the spin-only formula:

μ = n (n + 2)

where

n = 2

, we get

μ = 2 (2 + 2) = 8 = 2.83

B.M., which rounds to 3 B.M.

JEE Main · 2022 · 26 Jun 2022 · Shift 1 · Integer answer