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The Solid State

Question
CBSEENCH12010846

Total volume of atoms present in a face-centre cubic unit cell of a metal is (r is atomic radius)

  • 20πr3/3

  • 24πr3/3

  • 12πr3/3

  • 16πr3/3

Solution

D.

16πr3/3

straight V space equals space straight n space straight x space open parentheses 4 over 3 πr cubed close parentheses
space equals space 4 space straight x space open parentheses 4 over 3 πr cubed close parentheses
space equals space 16 over 3 πr cubed