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Magnetic moment 2.83 BM is given by whic...

Magnetic moment 2.83 BM is given by which of the following ions?
`"At. nos. Ti=22, Cr=24, Mn=25,Ni=28"`

A

`Ti^(3+)`

B

`Ni^(2+)`

C

`Cr^(2+)`

D

`Mn^(2+)`

Text Solution

Verified by Experts

The correct Answer is:
B

Magnetic moment is given by `mu=sqrt(n(n+2))B.M`
Hence, n=number of unpaire electrons `implies2.83=sqrt(n(n+2))implies8.00=n^(-)+2n`
`implies n^(2)+2n-8=0`
`implies n^(2)+4n-2n-8=0`
`therefore (n+4)(n-2)=0impliesn=2" " [because n ne-4]`
Among the given ions:

Hence, `Ni^(2+)` possesses a magnetic moment of 2.83 B.M
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