Question

Consider a cube with atom 'M' occupying the body centre, atom 'A' occupying the corners of the cube, atom 'B' occupying the edges of the cube and atom 'C' occupying the face centres.
Mark the correct options when the formula is $M_m{A}_a{B}_b{C}_c$, if:

• A. Plane is drawn diagonally, atoms in the plane vanish, ratio of $c:a$ is 4
• B. Plane is drawn diagonally, atoms in the plane vanish, $a+b=8$
• C. Line is drawn along an edge,atoms on the line vanish, $a+b=14$
• D. Line is drawn along an edge,atoms on the line vanish, ratio of $c:a$ is 4

Answer 1

Answer: (A), (C), (D)

Line is drawn along an edge,atoms on the line vanish, ratio of $c:a$ is 4

Initially, the molecular formula was $M_1{A}_{8\times 0.125}{B}_{12\times 0.25}{C}_{6\times 0.5}=MA{B}_3{C}_3$

When atoms from the highlighted plane are removed, we get $M_0{A}_{0.5}{B}_{2.5}{C}_2=A{B}_5{C}_4$
When atoms along the highlighted line are removed, we get $M_1{A}_{0.75}{B}_{3.75}{C}_3=M_4{A}_3{B}_{11}{C}_{12}$