The second order Bragg diffraction of X-rays, with $\mathrm{\lambda }=1 \mathrm{\AA }$ from a set of parallel planes in a metal, occurs at an angle of $60°.$ The distance between the scattering planes in the crystal is

1. 2.00 Å

2. 1.00 Å

3. 0.575 Å

4. 1.15 Å

The closest distance between two atoms (in terms of edge length) would be highest for which of unit cell, assuming the edge length of each unit cell be 'a'

1. FCC unit cell

2. BCC unit cell

3. diamond unit cell

4. primitive cubic cell

A X⁺ Y^- has the Y^- ions arranged as below. If the X⁺ ions occupy half of the tetrahedral sites in the structure. The formula of solid is

1. XY

2. X₃Y₄

3. XY₂

4. X₂Y

NaCl is doped with $2\times {10}^{-3} \mathrm{mol}\%{\mathrm{SrCl}}_2$, the concentration of cation vacancies is

1. $12.04\times {10}^{18} {\mathrm{mol}}^{-1}$

2. $10.01\times {10}^{18} {\mathrm{mol}}^{-1}$

3. $12.04\times {10}^{20} {\mathrm{mol}}^{-1}$

4. $4.02\times {10}^{18}{\mathrm{mol}}^{-1}$

A solid XY has NaCl structure. If radius of X⁺ is 100 pm, the radius of Y^- ion is

1. 136.6 to 241.6 pm

2. 341.6 to 134.6 pm

3. 128 pm

4. 136.8 pm

The ionic radii of Rb⁺ and I^- are 1.46 Å and 2.16 Å respecitvely. The most probable type of structure exhibited by it is

1. CaF₂ type

2. ZnS type

3. CsCl type

4. NaCl type

A solid has 3 types of atoms namely X, Y and Z. X forms an FCC lattice with Y atoms occupying all the tetrahedral voids and Z atoms occupying half the octahedral voids. The formula of the solid is

1. XYZ

2. X₂Y₄Z

3. X₄YZ₂

4. X₄Y₂Z

Calculate the $\mathrm{\lambda }$ of X-rays which give a diffraction angle 2$2\mathrm{\theta }=16.80°$ for a crystal. (Given interplanar distance=0.200 nm; diffraction=first order; sin $8.40°$=0.1461)

1. 58.4 pm

2. 5.84 pm

3. 584 pm

4. 648 pm

In a compound XY, the ionic radii X⁺ and Y^- are 88 pm and 200 pm respectively. What is the coordination number of X⁺?

1. 4

2. 6

3. 8

4. 10

The edge length of unit cell of a metal having molecular weight 75 g/mol is 5 Å which crystallizes in cubic lattice. If the density is 2 g/cc then find the radius of metal atom. $(\mathrm{NA}=6\times {10}^{23})$. Give the answer in pm.

1. 116.5 pm

2. 316.5 pm

3. 216.5 pm

4. 416.5 pm