Physical Chemistry

GATE Chemistry (CY) — Solid State Chemistry previous year questions

15 questions · 2005 · all with verified answer · last checked 2026-11-10

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Q1 · 2005-2021 · 2 marks

The incorrect statement for solid sodium chloride is that

(a) both sodium and chloride ions adopt inert gas configuration
(b) the conduction band is full
(c) the condduction band is empty
(d) the valence band is full

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Answer: (b)

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Q2 · 2005-2021 · 2 marks

The atomic radius (in cm) of an element with a body centered cubic unit cell of volume 75.8\,\mathrm{cm^3\,mol^{-1}}, molecular weight 137.3 and density 3.62\,\mathrm{g\,cm^{-3}} is

(a) 1.5 \times 10^{-8}
(b) 1.6 \times 10^{-8}
(c) 2.0 \times 10^{-8}
(d) 2.2 \times 10^{-8}

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Answer: (d)

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Q3 · 2005-2021 · 2 marks

The arrangement of sulphur in zinc blende and wurtzite structures, respectively, are

(a) hexagonal close packing and cubic close packing
(b) cubic close packing and hexagonal close packing
(c) simple cubic packing in both the structures
(d) hexagonal close packing in both the structures

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Answer: (b)

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Q4 · 2005-2021 · 2 marks

When NiO is heated with a small amount of \mathrm{Li}_2\mathrm{O} in air at 1200^{\circ}\mathrm{C}, a non–stoichiometric compound \mathrm{Li}_x\mathrm{Ni}_{(1x)}\mathrm{O} is formed. This compound is

(a) an n–type semiconductor containing only \mathrm{Ni}^{1+}
(b) an n–type semiconductor containing \mathrm{Ni}^{1+} and \mathrm{Ni}^{2+}
(c) a p–type semiconductor containing \mathrm{Ni}^{2+} and \mathrm{Ni}^{3+}
(d) a p–type semiconductor containing only \mathrm{Ni}^{3+}

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Answer: (c)

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Q5 · 2005-2021 · 2 marks

The X-ray powder pattern of NaCl shows an intense cone at \theta=15.87^\circ using X-rays of wave length 1.54\times10^{-8} cm. The spacing between the planes (in \mathrm{\AA}) of NaCl crystal is

(a) 1.41
(b) 2.82
(c) 4.23
(d) 5.63

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Answer: (b)

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Q6 · 2005-2021 · 2 marks

Band theory predicts that magnesium is an insulator. However, in practice it acts as a conductor due to

(a) presence of filled 3s orbital
(b) overlap of filled 2p and filled 3s orbital
(c) overlap of filled 3s and empty 3p orbital
(d) presence of unfilled 3p orbital

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Answer: (c)

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Q7 · 2005-2021 · 2 marks

For a face centered cubic lattice, the Miller indices for the first Bragg's peak (smallest Bragg angle) are

(a) 002
(b) 111
(c) 001
(d) 110

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Answer: (b)

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Q8 · 2005-2021 · 2 marks

A crystal has the lattice parameters a \neq b \neq c and \alpha = \beta = \gamma = 90^\circ. The crystal system is

(a) Tetragonal
(b) Monoclinic
(c) Cubic
(d) Orthorhombic

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Answer: (b)

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Q9 · 2005-2021 · 2 marks

A metal crystallizes in the face – centered cubic lattice parameter of 4.20 Å. The shortest atom to atom contact distance in the lattice is

(a) 4.20 Å
(b) 2.97 Å
(c) 2.42 Å
(d) 2.10 Å

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Answer: (b)

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Q10 · 2005-2021 · 2 marks

Molybdenum crystallizes in a bcc structure with unit cell dimensions of 0.314 nm. considering the atomic mass of molybdenum to be 96, its density (in \mathrm{kg\,m^{-3}}) is ____

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Answer: 10137

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Q11 · 2005-2021 · 2 marks

Which one of the following statements is INCORRECT?

(a) Frenkel defect is a cation vacancy and a cation interstitial
(b) Frenkel defect is an anion vacancy and a cation interstitial
(c) Density of a solid remains unchanged in case of Frenkel defects.
(d) Density of a solid decreses in case of Schottky defects.

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Answer: (b)

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Q12 · 2005-2021 · 2 marks

The distance between two successive (110) planes in a simple cubic lattice with lattice parameter 'a' is

(a) \sqrt{2}\,a
(b) \sqrt{3}\,a
(c) 2\sqrt{2}\,a
(d) \frac{a}{\sqrt{2}}

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Answer: (d)

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Q13 · 2005-2021 · 2 marks

When crystals of sodium chloride are heated in the presence of sodium vapor, they turn yellow. This is due to the formation of

(a) Schottky defects
(b) Frenkel defects
(c) F-centres
(d) H-centres

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Answer: (c)

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Q14 · 2005-2021 · 2 marks

P, F and I represent primitive, face-centered and body-centered lattices, respectively. The lattice types of \mathrm{NaCl} and \mathrm{CsCl}, respectively, are

(a) F and I
(b) F and P
(c) I and P
(d) P and I

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Answer: (b)

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Q15 · 2005-2021 · 2 marks

The INCORRECT statement about the solid-state structure of CsCl and \mathrm{CaF_2} is:

(a) Cations in both solids exhibit coordination number 8.
(b) CsCl has bcc type structure and \mathrm{CaF_2} has cubic close pack structure
(c) Radius ratio for Cs/Cl and Ca/F is 0.93 and 0.73, respectively
(d) Both exhibit close pack structure

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Answer: (b)

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