Q3 / 155 · WBJEE 2025 · Chemistry

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

  • A
    $\mathrm{AB}_3 \mathrm{C}$
  • B
    $\mathrm{A}_3 \mathrm{BC}$
  • Correct answer
    C
    $\mathrm{ABC}_3$
  • D
    ABC

Solution

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 $\mathrm{ABC}_3$

Hence, the correct answer is option: 'C'.

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