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

Given below are two statements :
Statement (I): The metallic radius of Al is less than that of Ga.
Statement (II) : The ionic radius of \(\mathrm{Al}^{3+}\) is less than that of \(\mathrm{Ga}^{3+}\).
In the light of the above statements, choose the most appropriate answer from the options given below :

A Both Statement I and Statement II are incorrect
B Statement I is incorrect but Statement II is correct
C Statement I is correct but Statement II is incorrect
D Both Statement I and Statement II are correct

Verified Solution

Answer & Solution

Correct Answer

(B) Statement I is incorrect but Statement II is correct

Step-by-step Solution

Detailed explanation

\(\Rightarrow\) The metallic radius order of \(\mathrm{Al} ~\&~ \mathrm{Ga}\) is \(\mathrm{B} \lt \underbrace{\mathrm{Ga} \lt \mathrm{Al}}_{\downarrow} \lt \mathrm{In} \lt \mathrm{T} \ell\) (due to poor shielding of d-subshell electrons) \(\Rightarrow\) The ionic radius order 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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