AIPMT MAIN2008Chemistry-Solid State
AIPMT MAIN 2008 Chemistry Crystal Lattices and Unit Cells MCQ Question
Type: MCQ-conceptual-Hard
If 'a' stands for the edge length of the cubic systems: simple cubic, body centred cubic and face centred cubic, then the ratio of radii of the spheres in these systems will be respectively
A
1a : √3a : √2a
B
½a : √3/4a : 1/2√2a
C
½a : √3a : 1/√2a
D
½a : √3/2a : √2/2a
Correct Answer
Option B
Detailed Explanation
The ratio of radii for simple cubic, body centred cubic, and face centred cubic systems is derived from their geometric arrangements. The correct ratio is ½a : √3/4a : 1/2√2a.
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