AP EAMCET · Chemistry · d and f Block Elements

Which one of the following sets correctly represents the increase in the paramagnetic property of the ions?

A \(\mathrm{Cu}^{2+}>\mathrm{V}^{2+}>\mathrm{Cr}^{2+}>\mathrm{Mn}^{2+}\)
B \(\mathrm{Cu}^{2+} < \mathrm{Cr}^{2+} < \mathrm{V}^{2+} < \mathrm{Mn}^{2+}\)
C \(\mathrm{Cu}^{2+} < \mathrm{V}^{2+} < \mathrm{Cr}^{2+} < \mathrm{Mn}^{2+}\)
D \(\mathrm{V}^{2+} < \mathrm{Cu}^{2+} < \mathrm{Cr}^{2+} < \mathrm{Mn}^{2+}\)

Verified Solution

Answer & Solution

Correct Answer

(C) \(\mathrm{Cu}^{2+} < \mathrm{V}^{2+} < \mathrm{Cr}^{2+} < \mathrm{Mn}^{2+}\)

Step-by-step Solution

Detailed explanation

Paramagnetic property depends upon the number of unpaired electrons. Higher the number of unpaired electrons, higher the paramagnetic property will be. \(\mathrm{Cu}^{2+}=[\mathrm{Ar}] 3 d^9 \text {, no. of unpaired electrons }=1\) \(\mathrm{V}^{2+}=[\mathrm{Ar}] 3 d^3\), no. of…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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