If 'a’ stands for the edge length of the cubic systems: simple cubic, body-centered cubic, and face-centered cubic, then the ratio of radii of the spheres in these systems will be respectively: 

1. $\frac{1}{2}\mathrm{a\; :}$ $\frac{\sqrt{3}}{4}\mathrm{a}$ $:$ $\frac{1}{{\displaystyle 2}\sqrt{2}}\mathrm{a}$

2. $\frac{1}{2}\mathrm{a\; :}$ $\sqrt{3}\mathrm{a}$ $:$ $\frac{1}{\sqrt{2}}\mathrm{a}$

3. $\frac{1}{2}\mathrm{a\; :}$ $\frac{\sqrt{3}}{2}\mathrm{a}$ $:$ $\frac{\sqrt{2}}{{\displaystyle 2}}\mathrm{a}$

4. $1\mathrm{a\; :}$ $\sqrt{3}\mathrm{a}$ $:$ $\sqrt{2}\mathrm{a}$

In a cubic unit cell, atom A is present at each corner, atom B at each face centre and atom C at the body centre. The simplest formula of the solid is :

1. ${\mathrm{AB}}_2\mathrm{C}$                                         

2. ${\mathrm{A}}_2\mathrm{BC}$

3. ${\mathrm{AB}}_3\mathrm{C}$                                         

4. ${\mathrm{ABC}}_3$

An ionic compound has a unit cell consisting of A ions at the corners of a cube and B ions on the centers of the faces of the cube. The empirical formula for this compound would be : 

1. AB 

2. A₂B

3. AB₃

4. A₃B

The total number of tetrahedral voids in the face centered unit cell is -

1. 6

2. 8

3. 10

4. 12

The edge lengths of the unit cells in terms of the radius of spheres constituting fcc, bcc, and simple cubic unit cells are respectively -

1. $2\sqrt{2\mathrm{r}}, \frac{4\mathrm{r}}{\sqrt{3}}, 2\mathrm{r}$

2. $\frac{4\mathrm{r}}{\sqrt{3}}, 2\sqrt{2\mathrm{r}}, 2\mathrm{r}$

3. $2\mathrm{r}, 2\sqrt{2\mathrm{r}}, \frac{4\mathrm{r}}{\sqrt{3}}$

4. $2\mathrm{r}, \frac{4\mathrm{r}}{\sqrt{3}}, 2\sqrt{2\mathrm{r}}$

If Xenon crystallizes in face center cubic lattice and the edge of the unit cell is 620 pm, then the radius of the Xenon atom is-

1. 219.20 pm                                   

2. 438.5 pm

3. 265.5 pm                                     

4. 536.94 pm

In a face centred cubic lattice, atom A occupies the corner positions and atom B occupies the face centre positions. If one atom of B is missing from one of the face centred points, the formula of the compound is -

1. AB₂

2. A₂B₃

3. A₂B₅

4. A₂B

Copper crystallizes in a face-centered cubic lattice with a unit cell length of 361 pm. The radius of the copper atom is:

1. 128 pm

2. 157 pm

3. 181 pm

4. 108 pm

Same coordination number for cations and anions is present in:

An element crystallizes in a structure having FCC unit cell of an edge length 200 pm. If 200 g of this element contains 24 x 10²³ atoms, the density of the element is - 

1. 50.3 g/cc 

2. 63.4 g/cc

3. 41.6 g/cc 

4. 34.8 g/cc