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Question: Answered & Verified by Expert
In a close-packed body-centred cubic lattice of potassium, the correct relation between the atomic radius $(r)$ of potassium and the edge-length of the cube is
ChemistrySolid StateWBJEEWBJEE 2017
Options:
  • A $r=\frac{a}{\sqrt{2}}$
  • B $r=\frac{a}{\sqrt{3}}$
  • C $r=\frac{\sqrt{3}}{2} a$
  • D $r=\frac{\sqrt{3}}{4} a$
Solution:
1675 Upvotes Verified Answer
The correct answer is: $r=\frac{\sqrt{3}}{4} a$
$\because$ For be packing, $\sqrt{3} a=4 r \therefore r=\frac{\sqrt{3}}{4} \cdot a$
where $a=$ edge length $r=$ radius of lattice sphere

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