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JIPMER2008ChemistrySolid State

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

Options

  1. A( 16 3 r^3 )
  2. B( 20 3 r^3 )
  3. C( 24 3 r^3 )
  4. D( 12 3 r^3 )

Correct answer

A. ( 16 3 r^3 )

Step-by-step solution

In fcc unic cell (z=4 ) ( aligned Hence, occupied volume by sphere & =4 4 3 r^3 & = 16 3 r^3 aligned )

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