1.

The fraction of the total volume occupied by the atoms present in a simple cube isA. `pi/4`B. `pi/6`C. `pi/(3sqrt2)`D. `pi/(4sqrt2)`

Answer» Correct Answer - D
In a simple cube, no. of atoms/unit cell
` = 8 xx 1/8 =1 `
Volume of the atom = ` 4/3 pi r^(3)`
volume of the cube = ` a^(3) = ( 2r)^(3) = 8 r^(3)`
Fraction occupied = `( 4/3 pi r^(3))/( 8 r^(3) ) = pi/6`


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