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Question

A compound formed by elements A and B has a cubic structure in which A atoms are at the corners of the cube and B atoms are at the face centres. The formula of the compound will be ___________.


A

A4B3

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B

A2B

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C

AB3

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D

A2B3

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Solution

The correct option is C

AB3


The explanation for the correct answer:-

Option (C) AB3

Step 1: Given data

The compound has a cubic structure in which A atoms are at the corners of the cube and B atoms are at the face centres.

Step 2: Calculating the number of atoms of components

Number of atoms A present per unit cell

= (1/8)x8

=1

Number of atoms B present per unit cell = 6x(1/2)

=3

Step 3: Deriving components formula

So, the ratio of A: B = 1:3

Therefore, the formula is AB3, option (C) is the correct answer.


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