Select the correct statement

Options

A. The value of spin only magnetic moment of `Co^(3+)` ion (in BM)=`sqrt(24)`
B. The number of radial nodes in a 3p-orbital =1
C. The number of electrons with (m=0) in `Mn^(2+)` ion =11
D. The orbital angular momentum for the unpaired electron in `V^(4+)=(sqrt6h)/(4pi)`

Answer

A,B,C

Explanation

(a)`Co^(3+):1s^2 2s^2 2p^6 3s^2 3p^6 3d^6 :. 4` unpaired electrons `:. Mu=sqrt(4(4+2))=sqrt24=4.9 BM`
(b)Number of radial nodes=n-l-1
Number of radial nodes in 3p orbital =3-1-1=1
( c)Number of electrons with (m=0) in `Mn^(2+) (1s^2 2s^2 2p^6 3s^2 3p^6 3d^5)` ion=`1s(2)+2s(2)+2p(2)+3s(2)+3p(2)+3d(1)=11`
(d)Orbital angular momentum for the unpaired electron in `V^(4+)` lies in 3d orbital `:. l=2`
`:.` Orbital angular momentum=`sqrt(l(l+1))h/(2pi)=(sqrt6h)/(2pi)`