1.

The fraction of total volume occupies by the atoms present in a simple cube is

Answer»

`( pi )/(3 sqrt( 2))`
`( pi )/( 4 sqrt( 2))`
`( pi )/( 4)`
` ( pi )/( 6)`

Solution :Packing fraction of a simple cube
`= ( " Volume of one sphere ")/( "Volume of cubic unit cell")`
Edge LENGTH `a=2r` or `r = a//2 `
`:.` Packing fraction `= (((4)/(3) pi (a)/(2))^(3))/(a^(3)) = ( pi )/( 6)`


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