Question

The value of magnetic moment of $V^{3+}(Z=23)$ is:

• A. $\sqrt{2}BM$
• B. $\sqrt{3}BM$
• C. $2BM$
• D. $\sqrt{8}BM$

Answer 1

The correct option is D $\sqrt{8}BM$

The electronic configuration of $V$ is [Ar] $4s^2{4d}^3$.

E.C. of $[V{]}^{3+}=[Ar]3d^{2}4s^0$

$\therefore n=2$

The magnetic momentum can be calculated by using the following formulae,

$=\sqrt{n(n+2)BM}$

$=\sqrt{2(2+2)BM}$

$=\sqrt{8BM}$