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Match cubic (in Column - I) with packing...

Match cubic (in Column - I) with packing fraction (in Column - II)
`{:("COLUMN - I","COLUMN - II"),("A) Simple cubic","p) 0.68"),("B) FCC","q) 0.52"),("C) BCC","r) 0.74"),("D) HCP","s) 0.26"):}`

Text Solution

Verified by Experts

The correct Answer is:
`A-q; B-r; C-p; D-r`

Simple cube `=(pi)/(6)=0.52,"FCC "=(pi)/(3sqrt2)=0.74," BCC "=(sqrt3pi)/(8)=0.68,"HCP = 0.74"`
Simple cube , `2r=a:r=(a)/(2),P.E.=((4)/(3)pi((a)/(2))^(3))/(a^(3))=0.52`
FCC : `4r=sqrt2a,r=(sqrt2a)/(4),P.F=(4xx(4)/(3)pi((sqrt2a)/(4))^(3))/(a^(3))=0.74,"HCP"-"same"`
`"BCC":2r=sqrt3a,r=(sqrt3a)/(4),P.F=(2xx(4)/(3)pi((sqrt3a)/(4))^(3))/(a^(3))0.68`
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