The magnetic moment is associated with its spin angular momentum … - Vidyadip

MCQ

The magnetic moment is associated with its spin angular momentum and orbital angular momentum. Spin only magnetic moment value of $Cr^{3+}$ ion is $........$

A
$2.87\ B.M.$
✓
$3.87\ B.M.$
C
$3.47\ B.M.$
D
$3.57\ B.M.$

✓

Answer

Correct option: B.

$3.87\ B.M.$

The magnetic moment is associated with its spin angular momentum and orbital angular momentum.
Spin only magnetic moment value of $Cr^{3+}.$ ion is $3d^{3+}$
Hence, magnatic moment
$(\mu)=\sqrt{\text{n(n+2)}}\text{ BM}$
$=\sqrt{3(3+2)}=\sqrt{15}$
$=3.87\text{ BM}$

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