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In a face centred cubic of A and B atoms...

In a face centred cubic of A and B atoms in which A atoms are at the corners of the unit cell and B atoms at the face centres, one of the A atoms is missing from one corner in the unit cell. The simplest formula of the compound 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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