Statement I: The spin only magnetic moment of Sc3+ is 1.73 BM
Statement II: The spin only magnetic moment (in BM) of the ion is equal to\(\sqrt{n(n+2)}\), where n is the number of unpaired electrons present in the ion.
Answer & explanation
Correct answer: option 4
The correct answer is option 4. Statement I is false but statement II is true.
Statement I: The spin only magnetic moment of Sc3+ is 1.73 BM
Statement I is false because Sc3+ has a 3d0 electron configuration, which means that it has no unpaired electrons. The spin only magnetic moment is calculated using the formula
\(\sqrt{n(n+2)}\)
where n is the number of unpaired electrons. Since Sc3+ has no unpaired electrons, its spin only magnetic moment is 0 BM.
Statement II: The spin only magnetic moment (in BM) of the ion is equal to\(\sqrt{n(n+2)}\), where n is the number of unpaired electrons present in the ion.
Statement II is true because the spin only magnetic moment is calculated using the formula
\(\sqrt{n(n+2)}\)
where n is the number of unpaired electrons. If n is 0, then the spin only magnetic moment is 0 BM.
Therefore, statement I is false but statement II is true.