1.

The fraction of total volume occupied by the atom present in a simple cubic isA. `(pi)/(4sqrt(2))`B. `(pi)/(4)`C. `(pi)/(6)`D. `(pi)/(3sqrt(2))`

Answer» Correct Answer - 3
For simple cubic unit cell we have
`r=(a)/(2)`
`Z=1`
Therfore
Packing fraction `=("Volume of one sphere")/("Volume of cubic unit cell")`
`=((4)/(3)pir^(3))/(a^(3))=((4)/(3)pi((a)/(2))^(3))/(a^(3))`
`(pi)/(6)`


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