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A face centred cubic is made up of two t...

A face centred cubic is made up of two types of atoms A and B in which A occupies the corner positions and B occupies the face centres. If atoms along one of the body diagonal are removed, empirical formula of remainning solid will be

A

`AB_(2)`

B

`A_(3)B`

C

`A_(7)B_(3)`

D

`AB_(4)`

Text Solution

Verified by Experts

The correct Answer is:
D
A occupies corner `rArr8xx(1)/(8)`
B = occupies face centres `to6xx(1)/(2)=3` now, atoms along one body diagonal are removed `Ato6xx(1)/(8)=(3)/(4)`
Formula
`A_((3)/(4))B_(3)`
`rArrAB_(4)`
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