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In a face centred cubic arrangement of A...

In a face centred cubic arrangement of A and B atoms whose A atoms are at the corner of the unit cell and B atoms at the face centres. Once of the A atom is missing from one corner in unit cell. The simplest formula of compound is

A

`A_7B_3`

B

`AB_3`

C

`A_7B_24`

D

`A_8B_21`

Text Solution

Verified by Experts

The correct Answer is:
C

In FCC atoms are present at corners , face centres
atoms of `A = 7 xx 1/8 ( 1 m is sin g) = 7/8`
atoms of `B = 6 xx 1/2 = 3`
atoms of `B = 6 xx 1/2 = 3`
`(A_7)/(8) B_3 = A_7B_24 `
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