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JEE Mains · Chemistry · STD 11 - 3. Classification of elements and periodicity in properties

निम्न व्यवस्थाओं में से कौन दिये गये पदार्थों \(O ^{2-}, S ^{2-}, N ^{3-}, P ^{3-}\) की आयनिक त्रिज्याओं के बढ़ते क्रम (न्यूनतम से वृहत्तम) को प्रस्तुत करती है ?

A \({O^{2 - }}\, < \,{N^{3 - }}\, < \,\,{S^{2 - }}\, < \,\,{P^{3 - }}\)
B \({O^{2 - }}\, < \,{P^{3 - }}\, < \,\,{N^{3 - }}\, < \,{S^{2 - }}\)
C \({N^3}\, < \,{O^{2 - }}\, < \,\,{P^{3 - }}\, < \,{S^{2 - }}\)
D \({N^{3 - }}\, < \,{S^{2 - }}\, < \,\,{O^{2 - }}\, < \,{P^{3 - }}\)

Verified Solution

Answer & Solution

Correct Answer

(A) \({O^{2 - }}\, < \,{N^{3 - }}\, < \,\,{S^{2 - }}\, < \,\,{P^{3 - }}\)

Step-by-step Solution

Detailed explanation

For isoelectronic species ionic radii decreases as the charge on ion decreases. Further on moving down in a group ionic radii increases. Hence the correct order is \({O^{2 - }}\, < \,{N^{3 - }}\, < \,\,{S^{2 - }}\, < \,\,{P^{3 - }}\)

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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