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Question: Answered & Verified by Expert
85 . The radius of an atom is $300 \mathrm{pm}$. If it crystallises in a face-centered cubic lattice, the length of the edge of the unit cell is
ChemistrySolid StateCOMEDKCOMEDK 2014
Options:
  • A $488.5 \mathrm{pm}$
  • B $848.5 \mathrm{pm}$
  • C $884.5 \mathrm{pm}$
  • D $484.5 \mathrm{pm}$
Solution:
2649 Upvotes Verified Answer
The correct answer is: $848.5 \mathrm{pm}$
For fcc, $a=2 \sqrt{2} r$
$$
=2 \times 1.414 \times 300 \mathrm{pm}=848.5 \mathrm{pm}
$$

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