AP EAMCET · Chemistry · Structure of Atom

Among the ions \(\mathrm{O}^{2-}, \mathrm{Na}^{+}, \mathrm{F}^{-}, \mathrm{N}^{3-}, \mathrm{Mg}^{2+}\) the ions with smallest and largest radii are respectively

A \(\mathrm{F}^{-}, \mathrm{N}^{3-}\)
B \(\mathrm{Mg}^{2+}, \mathrm{N}^{3-}\)
C \(\mathrm{Na}^{+}, \mathrm{F}^{-}\)
D \(\mathrm{F}^{-}, \mathrm{Na}^{+}\)

Verified Solution

Answer & Solution

Correct Answer

(B) \(\mathrm{Mg}^{2+}, \mathrm{N}^{3-}\)

Step-by-step Solution

Detailed explanation

The ionic radii of electronic species increases with decrease in magnitude of nuclear charge. Also, the magnitude of nuclear charge decreases with decrease in number of electrons. When a negative ion is formed by adding one or more electrons, the effective charge is reduced due…

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.

Same subject

List-I (Process)	\(\text{List-II (Metal)}\)
A) Hall-Heroult process	I) Ti
B) Mond process	II) In
C) van-Arkel process	III) \(\mathrm{Al}\)
D) Zone refining process	IV) Ni

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