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Question

The distance between any two tetrahedral voids formed on any body diagonal of a closest packed structure is x×a, where a is the edge length of closest packed structure.
The value of x is :

A
13
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B
12
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C
2
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D
32
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Solution

The correct option is B 12
If a is the edge length of the cube, then the length of the body diagonal will be 3a.
On one body diagonal, two tetrahedral holes are present.
The distance between these two tetrahedral holes is 12.

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