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(C) In a cube of side length $a$,the distance from the corner to the center of the cube is half of the body diagonal.Body diagonal = $\sqrt{3}a$.Dista

Vedclass · Accepted Answer

$x/2$

Vedclass · Answer

(C) In a cube of side length $a$,the distance from the corner to the center of the cube is half of the body diagonal.Body diagonal = $\sqrt{3}a$.Distance from corner to center $(x)$ = $\frac{\sqrt{3}a}{2}$.Tetrahedral voids are located at a distance of $\frac{\sqrt{3}a}{4}$ from the corners.Comparing the two,the distance of the tetrahedral void from the corner is $\frac{1}{2} 	imes (\frac{\sqrt{3}a}{2}) = \frac{x}{2}$.

If the distance between the corner and the center of a cube is $x$,then the tetrahedral void will be at a distance of .... from the corner of the cube.

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