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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Chemistry
Chapter
Solid State

NTA Abhyas 2020 · Chemistry · Solid State

A body centre cubic lattice is made up of two different types of...

A body centre cubic lattice is made up of two different types of atoms A\text{A} and B.\text{B}\text{.} Atom A\text{A} occupies the body centre and B\text{B} occupying the corner positions. One of the corners is left unoccupied per unit cell. Empirical formula of such a solid is

Options

  1. AAB\text{AB}
  2. BA2B2{A}_{2} {B}_{2}
  3. CA5B7{A}_{5} {B}_{7}
  4. DA8B7{A}_{8} {B}_{7}

Correct answer

D. A8B7{A}_{8} {B}_{7}

Step-by-step solution

There is one A\text{A} per unit cell

Number of B\text{B} per unit cell =18×7=78= \dfrac{1}{8} \times 7 = \dfrac{7}{8}

Empirical formula =A1B78\text{=}{A}_{1} {B}_{\dfrac{7}{8}}

=A8B7\text{=}{A}_{8} {B}_{7}
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