A) \[{{A}_{7}}{{B}_{24}}\]
B) \[{{A}_{2}}{{B}_{3}}\]
C) \[{{A}_{3}}{{B}_{7}}\]
D) \[{{A}_{3}}{{B}_{10}}\]
Correct Answer: A
Solution :
No. of atoms of A at the corners \[=7\times \frac{1}{8}\] (because one A is missing) =7/8 Contribution of atom B towards unit cell\[=6\times \frac{1}{2}=3\] Ratio of \[A:B=\frac{7}{8}:3=7:24\] Formula is \[{{A}_{7}}{{B}_{24}}\]
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