Question

The magnetic moment is associated with its spin angular momentum and orbital angular momentum. Spin only magnetic moment value of \(Cr^{3+}\) ion (Atomic number : Cr = 24) is ____.

(A) 2.87 B.M.

(B) 3.87 B.M.

(C) 3.47 B.M.

(D) 3.57 B.M.

Answer 1

Correct option is : (B) 3.87 B.M.

\(\mu ,\) spin angular momentum = \(\sqrt{(n)n+2}.\) B.M. Electronic configuration of \(Cr^{3+} = [Ar]\ 3d^3\)

Number of unpaired electrons = 3

\(\mu = \sqrt{3\times 5} = \sqrt{15} = 3.87\ B.M.\)