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Question

A binary solid (AB) has NaCl type of structure,if all ions are removed from one of the body diagonal planes, then new formula becomes:

A
A3B4
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B
AB
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C
A4B3
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D
A2B3
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Solution

The correct option is A AB
Removal of all atoms along body diagonal plane means removal of: 4 corners, 1 body centre, 2 edge centres and 2 face centres.
Hence 1 Na+ ions will be removed from body centre and 2 from edge centres.
Cl ions will beremoved from corners and 2 from face centres.
On calculating contribution of all ions 52 ions of Na+ and 52 ions of Cl are found to be there.
Ratio is 1:1
So formula will be AB


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