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The D-And-f-Block Elements

Question
CBSEENCH12007279

Vanadium ion has a magnetic moment of 1.73 BM. What is the symbol of the ion? (Atomic number of V = 23)

Solution

Magnetic moment can be calculated by the using formula 

μ =n(n+2)

As, we have given magnetic moment 1.73B.M so

1.73 = n(n+2)

taking both side saqure

(1.73)2 =( n(n+2))2

2.99 =n(n+2)

2.99 =n2 +2n

n2 +2n-2.99 =0
solving above equation, we get 
 n=1

Thus, Vanadium ion must have one unpaired electron .
electronic configuration is [Ar] 4s2 3d1.