Question

Magnetic moments of $V(Z=23),Cr(Z=24)$ and $Mn(Z=25)$ are $x,y,z$. Hence

• A. $x=y=z$
• B. $x<y=z$
• C. $x<z<y$
• D. $z<y<x$

Answer 1

The correct option is B $x<y=z$

1) $V(Z=23)$

$\left[Ar\right]4s^{2}3d^3$

(Refer to Image $1$)

$⟶3$ unpaired electrons

Magnetic moment=$u=\sqrt{n(n+2)}=\sqrt{15}$ B.M

2) $Cr(Z=24)

[Ar] 4s^13d^5$

(Refer to Image $2$)

$⟶$ $5$ unpaired electrons

Magnetic moment=$u=\sqrt{5\times 7}=\sqrt{35}$ B.M

3) $Mn(Z=25)

[Ar]4s^23d^5$

(Refer to Image $3$)

$⟶$ $5$ unpaired electrons

Magnetic moment=$u=\sqrt{5\times 7=}\sqrt{35}$

$\Rightarrow x<y=z$