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← JEE Main 2022 · 26 Jun · Shift 2
ChemistryInteger+4 / -1Question 82 of 90

JEE Main 2022 · 26 Jun · Shift 2, Chemistry question 82

In a solid AB, A atoms are in ccp arrangement and B atoms occupy all the octahedral sites. If two atoms from the opposite faces are removed, then the resultant stoichiometry of the compound is AxBy\mathrm{A_xB_y}. The value of xx is ______. [nearest integer]

Answer and worked solution

Official answer: 3

ccp cell. 4 A atoms and 4 B atoms (octahedral sites).

Remove two face atoms (each counts 12\frac12): A becomes 4−1=34-1=3, so A3B4\mathrm{A_3B_4} and x=3x=3.

Answer: 3