A. `(pi)/(4)`
B. `(pi)/(6)`
C. `(pi)/(3sqrt(2))`
D. `(pi)/(4sqrt(2))`
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Correct Answer – 1
`(1xx(4)/(2)pir^(3))/(a^(3))=((4)/(3)pir^(3))/((2r)^(3))=(pi)/(6)`
Correct Answer – B
Packing factor in `sc = pi//6`.
Correct Answer – d
In simple cubic arrangement no of atoms `= 1`
`a = 2r`
`:.` packing fraction `= (“Volume occupied by one atom”)/( “Volume of unit cell”)`
`((4)/(3) pi r^(3))/(a^(3)) = ((4)/(3) pi r^(3))/((2r)^(3)) = (pi)/(6)`
Correct Answer – 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)`
Correct Answer – 2