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The fraction of the total volume occupie...

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

A

`(pi)/(6)`

B

`(pi)/(3sqrt2)`

C

`(pi)/(4sqrt2)`

D

`(pi)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
For simple cube,
`"Radius (r)"=(a)/(2)" [a = edge length]"`
`"Volume of the atom"=(4)/(3)pi((a)/(2))^(3)`
`therefore" Packing fraction"=((4)/(4)pi((a)/(2))^(3))/(a^(3))=(pi)/(6)`
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