TS EAMCET · Chemistry · Classification of Elements and Periodicity in Properties

Among the isoelectronic ions $(O^{2 -}, N^{3 -}, {Mg}^{2 +}, {Na}^{+}),$ the ions with the least and the highest ionic radius are, respectively

A ${Mg}^{2 +}, N^{3 -}$
B ${Mg}^{2 +}, O^{2 -}$
C ${Na}^{+}, N^{3 -}$
D ${Na}^{+}, O^{2 -}$

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Answer & Solution

Correct Answer

(A) ${Mg}^{2 +}, N^{3 -}$

Step-by-step Solution

Detailed explanation

For isoelectronic species, N3- O2- Na+ Mg2+ Number of electrons 10 10 10 10 Number of protons 7 8 11 12 With increase in number of protons in the nucleus the electrons are more attracted towards nucleus, thereby causing the decrease in ionic radius. Order of ionic radius:…

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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Among the isoelectronic ionsO2-, N3-, Mg2+, Na+, the ions with the least and the highest ionic radius are, respectively

Step-by-step Solution

Among the isoelectronic ions $(O^{2 -}, N^{3 -}, {Mg}^{2 +}, {Na}^{+}),$ the ions with the least and the highest ionic radius are, respectively