Practicing Success

Target Exam

CUET

Subject

Chemistry

Chapter

Inorganic: D and F Block Elements

Question:

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.

Options:

Statement I and statement II are true and statement II is correct explanation of statement I

Statement I and Statement II are true and statement II is not correct explanation of statement I

Statement I is true but statement II is false

Statement I is false but statement II is true

Correct Answer:

Statement I is false but statement II is true

Explanation:

The correct answer is option 4. Statement I is false but statement II is true.

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 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.