Academic Experts Solutions for Chapter: Solid State, Exercise 2: KVPY PROBLEMS (PREVIOUS YEARS)

An ionic compound is formed between a metal $\mathrm{M}$ and a non-metal $\mathrm{Y}$. If $\mathrm{M}$ occupies half the octahedral voids in the cubic close-packed arrangement formed by $\mathrm{Y}$, the chemical formula of the ionic compound is

In a cubic close packed structure, the fractional contributions of an atom at the corner and at the face in the unit cell are, respectively:

Schottky defect in a crystal arises due to

The packing efficiency of the face centred cubic $\left(\mathrm{fcc}\right)$, body centred cubic $\left(\mathrm{bcc}\right)$ and simple/primitive cubic $\left(\mathrm{pc}\right)$ lattices follows the order

A unit cell of calcium fluoride has four calcium ions. The number of fluoride ions in the unit is

Copper (atomic mass $=63.5$) crystallizes in $\mathrm{FCC}$ lattice and has density $8.93 \mathrm{g}.{\mathrm{cm}}^{-3}$. The radius of copper atom is closest to

A mineral consists of a cubic close-packed structure formed by ${\mathrm{O}}^{2-}$ ions, where half the octahedral voids are occupied by ${\mathrm{Al}}^{3+}$ and one-eighth of the tetrahedral voids are occupied by ${\mathrm{Mn}}^{2+}$. The chemical formula of the

A two-dimensional solid pattern formed by two different atoms $\mathrm{X}$ and $\mathrm{Y}$ 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