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WBJEE · Chemistry · Solid State

If three elements \(A, B, C\) crystalise in a cubic solid lattice with \(B\) atoms at the cubic centres, \(C\) atoms at the centre of edges and \(A\) atoms at the corners, then formula of the compound is

  1. A \(\mathrm{AB}_3 \mathrm{C}\)
  2. B \(\mathrm{A}_3 \mathrm{BC}\)
  3. C \(\mathrm{ABC}_3\)
  4. D ABC
Verified Solution

Answer & Solution

Correct Answer

(C) \(\mathrm{ABC}_3\)

Step-by-step Solution

Detailed explanation

Number of A atoms \(=\frac{1}{8} \times 8=1\) Number of \(C\) atoms \(=\frac{1}{4} \times 12=3\) Number of B atom = 1 Hence \(\mathrm{ABC}_3\)