1.

The packing effciencyof the two dimensional cell square unit as shownis

Answer»

0.3927
0.6802
0.7405
0.7854

Solution :Package EFFICIENCY = `("AREA COVERED by particle")/("Total area")`If a is the LENGTH of unit cell,
Area of unit all=`a^(2)`

`"Face diagonal " AC=sqrt2a`
`"But" "" AC = 4r`
`therefore""sqrt2a =4r`
`or""a = 2sqrt2r`
`"No. of""""PARTICLES" = 4times1/4+1=2`
`"Area occupied by particles" = 2timespir^(2)`
`"Packing efficiency" = (2timespir^(2))/((2sqrt2r)^(2))=pi/4=0.7857`
=`78.57%`.


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