Q8 / 89 · KVPY 2017 (5 Nov SB/SX) · Chemistry

A two-dimensional solid pattern formed by two different atoms $X$ and $Y$ is shown below. The black and white squares represent atoms $\mathrm{X}$ and $\mathrm{Y}$, respectively. The simplest formula for the compound based on the unit cell from the pattern is Figure

  • Correct answer
    A
    $\mathrm{XY}_{8}$
  • B
    $X_{4} Y_{9}$
  • C
    $\mathrm{XY}_{2}$
  • D
    $\mathrm{XY}_{4}$

Solution

The unit cell of the above pattern will consist of 8 white square and 1 black square i.e. it will form centre unit cell. $\therefore$ No. of white square $\mathrm{Y}=8$ No. of black square $X=1$ $\therefore$ Formula $\mathbf{X Y}_{\mathbf{8}}$

Hence, the correct answer is option: 'A'.

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