TS EAMCET · Chemistry · Solid State

Assertion (A) White tin is an example of tetragonal system.Reasoning (R) For a tetragonal system \(a=b=c\) and \(\alpha=\beta=\gamma \neq 90^{\circ}\). The correct answer is

A (A) and (R) are true and (R) is the correct explanation of \((\mathrm{A})\).
B Both (A) and (R) are true and (R) is not the correct explanation of (A).
C (A) is true but (R) is not true.
D (A) is not true but (R) is true.

Verified Solution

Answer & Solution

Correct Answer

(C) (A) is true but (R) is not true.

Step-by-step Solution

Detailed explanation

White tin, an allotropic form of tin is an example of tetragonal system and for tetragonal system, one side is not equal to other two while all the angles are equal, ie, \(a=b \neq c\) and \(\alpha=\beta=\gamma=90^{\circ}\). Hence, Assertion (A) is true but Reason (R) is not.

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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