Fraction of total volume occupied by atoms in a simple cube is

(1) $\frac{\pi }{2}$

(2) $\frac{\sqrt{3}\pi }{8}$

(3) $\frac{\sqrt{2}\pi }{6}$

(4) $\frac{\pi }{6}$

A solid AB has the NaCl structure. If radius of cation A⁺ is 120 pm, calculate the maximum possible value of the radius of the anion B^–

(1) 240 pm

(2) 280 pm

(3) 270 pm

(4) 290 pm

CsBr has a (bcc) arrangement and its unit cell edge length is 400 pm. Calculate the interionic distance in CsBr.

(1) 346.4 pm

(2) 643 pm

(3) 66.31 pm

(4) 431.5 pm

The first order reflection (n = 1) from a crystal of the X-ray from a copper anode tube $(\lambda =0.154nm)$ occurs at an angle of 16.3°. What is the distance between the set of planes causing the diffraction.

(1) $0.374nm$

(2) $0.561nm$

(3) $0.274nm$ 

(4) $0.395nm$

The diffraction of barium with X-radiation of wavelength 2.29Å gives a first – order reflection at 30°. What is the distance between the diffracted planes.

(1) 3.29 Å

(2) 4.39 Å

(3) 2.29 Å

(4) 6.29 Å

When an electron in an excited Mo atom falls from L to the K shell, an X-ray is emitted. These X-rays are diffracted at angle of $7{.75}^o$ by planes with a separation of 2.64Å. What is the difference in energy between K-shell and L-shell in Mo assuming a first-order diffraction. $(\sin 7{.75}^o=0.1349)$

(1) 36.88 $\times {10}^{-15}J$

(2) $27.88\times {10}^{-16}J$

(3) 63.88 $\times {10}^{-17}J$

(4) $64.88\times {10}^{-16}J$

Which is the incorrect statement?

(1) _{${\mathrm{Fe}}_{0.95}\mathrm{O}$} has non-stoichiometric metal deficiency defect

(2) Density decreases in case of crystals with Schottky's defect

(3) NaCI(s) is insulator, silicon is semiconductor, silver is conductor, quartz is piezoelectric crystal

(4) Frenkel defect is favoured in those ionic compounds in which sizes of cation and anions are almost equal

In calcium fluoride, having the fluorite structure, the coordination numbers for calcium ion (Ca²⁺) and fluoride ion (F^-) are

(1) 4 and 2                   

(2) 6 and 6

(3) 8 and 4                   

(4) 4 and 8

Lithium has a bcc structure. Its density is 530 kg m^-3 and its atomic mass is 6.94 gmol^-1.

The edge length of a unit cell of lithium metal is -

(N_A=6.02 x10²³ mol^-1)

1. 352 pm

2. 527 pm

3. 264 pm

4. 154 pm

The ionic radii of A⁺ and B^- ions are 0.98 x 10^-10 m and 1.81 x10^-10 m.  The coordination

number of each ion in AB is.

1. 4

2. 8

3. 2

4. 6