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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 MmAaBbCc, if:

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

## The correct option is D Line is drawn along an edge,atoms on the line vanish, ratio of c:a is 4Initially, the molecular formula was M1A8×0.125B12×0.25C6×0.5=MAB3C3 When atoms from the highlighted plane are removed, we get M0A0.5B2.5C2=AB5C4 When atoms along the highlighted line are removed, we get M1A0.75B3.75C3=M4A3B11C12

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