1.

The unit cell in a body centred cubic lattice is given inthe figure. Each sphere has a radius 'r' and the cube has side 'a'. What fraction of the total cube volume is empty?

Answer»

`1-8/3 (pir^3)/a^3`
`8/3 (pir^3)/a^3`
`r/a`
`2-4/3 (pir^3)/a^3`

Solution :FRACTION of OCCUPIED space
`="Occupied volume"/"TOTAL volume" =8/3 (pir^3)/a^3`
Fraction of EMPTY space = `1-8/3 (pir^3)/a^3`


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