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JEE Advanced levelOne or more correct optionsDifficulty 3 of 3ss073

Atoms of the same radius are packed in simple cubic (sc), bcc and fcc arrangements. Which statements about the cell volume per atom are correct?

  1. AIn bcc it is .
  2. BIn sc it is .
  3. CIt is larger in fcc than in bcc.
  4. DIn fcc it is .

Answer: A, B

sc: , one atom, so . bcc: shared by 2 atoms gives . fcc: shared by 4 atoms gives , not . The fcc value (5.66) is smaller than the bcc value (6.16), so the last statement is false.
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