Assertion–Reason (solid state basics): Assertion (A) The atomic number of sodium is 11. Reason (R) Sodium crystallizes in a body-centred cubic (BCC) lattice. Evaluate the pair.
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ABoth A and R are true and R is correct explanation of A
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BBoth A and R are true but R is not correct explanation of A
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CA is true but R is false
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DA is false but R is true
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EBoth A and R are false
Answer
Correct Answer: Both A and R are true but R is not correct explanation of A
Explanation
Introduction / Context:Assertion–Reason questions test whether a correct statement (the assertion) is logically explained by the accompanying reason. Here, we compare an elemental property (atomic number) with a crystal structure property (lattice type) for sodium (Na).
Given Data / Assumptions:
- Atomic number Z(Na) = 11, corresponding to electron configuration [Ne] 3s^1.
- At ambient conditions, metallic sodium adopts the BCC crystal structure.
Concept / Approach:
Atomic number is a nuclear property counting protons; it is independent of the solid’s crystal lattice. While valence electron configuration influences bonding and thus often correlates with preferred lattice, the numeric fact “Z = 11” does not follow from, nor is it explained by, “Na is BCC.” Therefore both statements are true, but the reason does not explain the assertion.
Step-by-Step Solution:
Check A: Z(Na) = 11 → True.Check R: Na is BCC at room temperature → True.Does R explain A? No → choose “Both true but R not the explanation.”Verification / Alternative check:
Chemical data tables list Z = 11 and BCC structure for alkali metals (Li, Na, K, etc.) at standard conditions, supporting both independent facts.
Why Other Options Are Wrong:
- A true, R false: incorrect because Na is indeed BCC at room temperature.
- A false, R true or both false: contradict established facts.
- “R explains A” is logically incorrect; lattice does not determine atomic number.
Common Pitfalls:
- Assuming correlation implies causation; lattice type does not determine Z.
Final Answer:
Both A and R are true but R is not correct explanation of A