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AIIMS 2014

Exam: AIIMS
Year: 2014
Subject: Chemistry
Chapter: Solid State

AIIMS 2014 · Chemistry · Solid State

A forms h c p lattice and B are occupying 1 / 3^ rd of tetrahedral...

A

forms

h c p

lattice and

B

are occupying 1 / 3^{\text{rd }}

of tetrahedral voids, then the formula of compound is

Options

A $A B$
B $A_3 B_2$
C $A_2 B_3$
D $A B_4$

Correct answer

B. $A_3 B_2$

Step-by-step solution

Let no. of atoms of

A

used in close packing

=n

Number of tetrahedral voids

=2 n

Number of atoms of

B=\frac{1}{3} \times 2 n=\frac{2}{3} n

A: B=n: \frac{2}{3} n=3: 2

Formula of the compound

=A_3 B_2

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