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Question

If a solid has BCC structure and if the distance of the closest approach between the two atoms is 1.73 A. The edge length of the cell is

A
200 pm
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B
32 pm
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C
142.2 pm
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D
2 pm
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Solution

The correct option is A 200 pm
The radius of the sphere in the BCC is ratom=34a. (a=edge length of cell)
The closest approach in BCC lattice is half of the body diagonal.
32a=1.73 Aa=2×1.733=2×1.731.7322 A200 pm

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