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In a face centered cubic arrangement of ...

In a face centered cubic arrangement of A and B atoms whose A atoms are at the corner of the unit cell and B atoms at the face centers. One of the B atoms missing from one of the face in unit cell. The simplest formula of compounding is:

A

`AB_(3)`

B

`A_(8)B_(5)`

C

`A_(2)B_(5)`

D

`AB_(2//5)`

Text Solution

Verified by Experts

The correct Answer is:
C
`Ato"corners"=8xx(1)/(8)=1`
`Bto"at 5 face centers"=5xx(1)/(2)=(5)/(2)`
`A : B=1:(5)/(2) = 2:5`
` :. A_(2)B_(5)`
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