Q1 · June 2021 · 2 marks
Plutonium (atomic mass = 244 \mathrm{g\,mol^{-1}}) crystallizes in monoclinic lattice (a = 620 pm, b = 480 pm, c = 1100 pm; \beta = 102°) with 16 atoms per unit cell. The density in \mathrm{g\,cm^{-3}} will be close to (Use \sin\beta = 0.98; \sin\beta/2 = 0.78)
- (b) 16.12
- (a) 25.38
- (c) 12.69
- (d) 20.26
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Answer: (d)
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Q2 · 2019 · 2 marks
Nearest neighbour distance in a crystal system of side length a is \frac{a}{\sqrt{2}} in
- (a) Face-centered cube
- (b) Body-centered cube
- (c) Trigonal primitive
- (d) Primitive cube
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Answer: (a)
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Q3 · Dec 2019 · 2 marks
The Miller index for the plane as shown in the figure and parallel to the c-axis, is 

- (a) 110
- (b) 120
- (c) 210
- (d) 220
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Answer: (b)
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Q4 · Dec 2019 · 2 marks
X-rays of 173 pm wavelength are reflected by the (111) plane of a cubic primitive crystal at \theta = 30°. The unit cell length (in pm) is closest to
- (a) 173
- (b) 300
- (c) 346
- (d) 600
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Answer: (b)
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Q5 · Dec 2019 · 2 marks
Iron belongs to the BCC lattice. The Miller indices of the second allowed reflection in the powder diffraction pattern of iron would be
- (a) (100)
- (b) (111)
- (c) (200)
- (d) (210)
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Answer: (c)
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Q6 · Dec 2019 · 2 marks
In the ccp packing, the number of lattice points per unit area in the planes is in the order
- (a) (100) > (110) > (111)
- (b) (100) > (111) > (110)
- (c) (111) > (100) > (110)
- (d) (111) > (110) > (100)
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Answer: (c)
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Q7 · Dec 2017 · 2 marks
If all the lattice points of an FCC structure are occupied by uniform hard spheres that touch each other, the fraction of volume occupied is
- (a) \frac{\pi \sqrt{2}}{6}
- (b) \frac{\pi \sqrt{3}}{6}
- (c) \frac{\pi}{6}
- (d) \frac{2 \pi}{6}
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Answer: (a)
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Q8 · Dec 2017 · 2 marks
The (002) plane of an elemental FCC crystal diffracts X-rays ( \lambda=0.154 \mathrm{~nm} ) at Bragg angle 90^{\circ}. the density of the crystal is 4 \times 10^{4} \mathrm{~kg} \mathrm{~m}^{-3}. The atomic weight of the elemental solid is
- (a) 22
- (b) 44
- (c) 88
- (d) 66
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Answer: (a)
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Q9 · Dec 2018 · 2 marks
In a cubic crystal, the (111) and (222) reflections are observed, but not the (001) reflection. The Bravais lattice is
- (a) body centred cubic
- (b) face centred cubic
- (c) simple cubic
- (d) side centred cubic
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Answer: (b)
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Q10 · Dec 2018 · 2 marks
A metal crystallizes with cubic close-packed structure. The \sin^2\theta values of Bragg reflections of Miller Planes (200) and (111) are 0.18 and 0.14, respectively. The unit cell length is
- (a) \lambda/2
- (b) \lambda/0.3
- (c) \lambda/0.4
- (d) 0.4\lambda
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Answer: (a)
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Q11 · June 2017 · 2 marks
Metallic silver crystallizes in face-centred-cubic lattice structure with a unit cell of length 40 nm. The first order diffraction angle of X-ray beam from (2, 1, 0) plane of silver is 30°. The wavelength of X-ray used is close to
- (a) 11 nm
- (b) 18 nm
- (c) 25 nm
- (d) 32 nm
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Answer: (b)
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Q12 · June 2017 · 2 marks
Polonium is the only metal known to exist in a simple cubic lattice form. The density of polonium at 0°C is measured to be 10.00\ \mathrm{g/cm^3}. The atomic radius of polonium would then be (assume the mass of a polonium atom = 2.7 \times 10^{-22} g)
- (a) 1.1 Å
- (b) 1.9 Å
- (c) 1.5 Å
- (d) 2.3 Å
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Answer: (c)
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Q13 · Dec 2017 · 2 marks
The separation of the (123) planes of an orthorhombic unit cell is 3.12 nm . The separation of (246) and (369) planes are, respectively,
- (a) 1.56 nm and 1.04 nm
- (b) 1.04 nm and 1.56 nm
- (c) 3.12 m and 1.50 nm
- (d) 1.04 nm and 3.12 nm
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Answer: (a)
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Q14 · June 2016 · 2 marks
In a cubic crystal, the plane [100] is equally inclined to the planes
- (a) [010] and [011]
- (b) [010] and [110]
- (c) [001] and [101]
- (d) [110] and [011]
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Answer: (a)
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Q15 · Dec 2016 · 2 marks
Each void in a two dimensional hexagonal close-packed layer of circles is surrounded by
- (a) six circles
- (b) three circles
- (c) four circles
- (d) twelve circles
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Answer: (b)
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Q16 · Dec 2016 · 2 marks
The \sin ^{2} \theta values obtained from X -ray powder diffraction pattern of a solid are 2 \mathrm{x}, 4 \mathrm{x}, 6 x, 8 x where x is equal to 0.06 . The wavelength of X-ray used to obtain this pattern is 1.54 \AA. The unit cell and the unit cell length, respectively are
- (a) \mathbf{B C C}, \mathbf{3 . 1 4 6} \AA
- (b) \mathbf{F C C}, \mathbf{3 . 1 4 6} \boldsymbol{\AA}
- (c) SCC, 6.281 Å
- (d) BCC, 1.544 \AA
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Answer: (a)
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Q17 · Dec 2015 · 2 marks
For a simple cubic crystal lattice, the angle between the [2 0 1] plane and the xy plane is
- (a) less than 30°
- (b) between 30° and 45°
- (c) between 45° and 60°
- (d) greater than 60°
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Answer: (d)
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Q18 · Dec 2015 · 2 marks
For a simple cubic crystal, X-ray diffraction shows intense reflections for angles \theta_{1} and \theta_{2} which are assigned to [ 10 1] and [ 11 1] planes, resectively. The ratio \sin \theta_{1} / \sin \theta_{2} is
- (a) 1.5
- (b) 1.22
- (c) 0.82
- (d) 0.67
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Answer: (c)
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Q19 · June 2014 · 2 marks
A compound A_{x} B_{y} has a cubic structure with A atoms occupying all the corners of the cube as well as all the face center positions. The \mathbf{B} atoms occupy four tetrahedral voids. The values of x and y respectively, are
- (a) 4,4
- (b) 4,8
- (c) 8,4
- (d) 4,2
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Answer: (a)
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Q20 · Dec 2014 · 2 marks
X-ray diffraction does not give any structural information for
- (a) metallic solids
- (b) ionic solids
- (c) molecular solids
- (d) amorphous solids X-ray diffraction give any structural information only for crystalline solids
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Answer: (d)
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Q21 · Dec 2014 · 2 marks
A solid consisting of only X-atoms has a close-packed structure with X-X distance of 160 pm. Assuming it to be a closed packed structure of hard spheres with radius equal to half of the X-X bond length, the number of atoms in 1\ \mathrm{cm^3} would be
- (a) 6.023 \times 10^{27}
- (b) 3.45 \times 10^{23}
- (c) 6.02 \times 10^{21}
- (d) 3.8 \times 10^{21}
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Answer: (b)
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Q22 · June 2013 · 2 marks
The coordinates for the atoms in a body centred cubic unit cell are
- (a) (0, 0, 0) and (1/2, 0, 0)
- (b) (0, 0, 0) and (1/2, 1/2, 1/2)
- (c) (0, 0, 0) and (0, 1/2, 0)
- (d) (0,0,0) and (0,0,1 / 2)
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Answer: (c)
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Q23 · June 2013 · 2 marks
The inter planar distance (Å) for a (100) plane in a cubic structure with the lattice parameter of 4 Å is:
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Answer: (c)
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Q24 · June 2013 · 2 marks
A plane of spacing 'd' shows first order Bragg diffraction at angle \theta. A plane of spacing 2d
- (a) shows Bragg diffraction at 2\theta
- (b) shows Bragg diffraction at \theta/2
- (c) shows Bragg diffraction at \sin^{-1}(\sin\theta/2)
- (d) shows Bragg diffraction at \sin^{-1}(\sin 2\theta/2)
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Answer: (c)
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Q25 · Dec 2013 · 2 marks
When Frenkel defects are created in an otherwise perfect ionic crystal, the density of the ionic crystal
- (a) increases
- (b) decreases
- (c) remains same
- (d) oscillates with the number of defects
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Answer: (c)
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Q26 · Dec 2013 · 2 marks
A compound of M and X atoms has a cubic unit cell. M atoms are at the corners and body centre position and X atoms are at face centre positions of the cube. The molecular formula of the compound is
- (a) MX
- (b) \mathbf{M X}_{\mathbf{2}}
- (c) \mathbf{M}_{\mathbf{3}} \mathbf{X}_{\mathbf{2}}
- (d) \mathrm{M}_{2} \mathrm{X}_{3}
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Answer: (d)
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Q27 · Dec 2013 · 2 marks
The angle at which the first order Bragg reflection is observed from (110) plane in a simple cubic unit cell of side 3.238 \AA, when chromium K radiation of wavelength 2.29 \AA is used, is
- (a) 30°
- (b) 45°
- (c) 60°
- (d) 90^{\circ}
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Answer: (a)
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Q28 · Dec 2013 · 2 marks
Metallic gold crystallizes in fcc structure with unit cell dimension of 4.00 Å. The atomic radius of gold is
- (a) 0.866 Å
- (b) 1.414 Å
- (c) 1.732 Å
- (d) 2.000 Å
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Answer: (b)
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Q29 · 2012 · 2 marks
How many atoms are there in an element packed in a fcc structure
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Answer: (c)
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Q30 · 2012 · 2 marks
A metal crystallizes in fcc structure with a unit cell side of 500 pm . If the density of the crystal is \mathbf{1 . 3 3 ~ g} / \mathbf{c c}, the molar mass of the metal is close to
- (a) 23
- (b) 24
- (c) 25
- (d) 26
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Answer: (c)
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Q31 · 2012 · 2 marks
The packing fraction of a simple cubic lattice is close to
- (a) 0.94
- (b) 0.76
- (c) 0.52
- (d) 0.45
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Answer: (c)
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Q32 · 2012 · 2 marks
Crystal A diffracts from (111) and (200) planes but not from (110) plane, while the crystal B diffracts from (110) and (200) planes but not from the (111) plane. From the above, we may conclude that
- (a) A has fcc lattice while B has bcc lattice
- (b) A has bcc lattice while B has fee lattice
- (c) A and B both have fcc lattice
- (d) A and B both have bcc lattice.
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Answer: (a)
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Q33 · 2011 · 2 marks
A one-dimensional crystal of lattice dimension 'a' is metallic. If the structure is distorted in such a way that the lattice dimension is enhanced to '2a'.
- (a) The electronic structure remains unchanged.
- (b) The width of conduction band decreases and a band gap is generated.
- (c) The width of conduction band increases
- (d) The width of the conduction band remains unchanged
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Answer: (b)
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Q34 · 2011 · 2 marks
The value of d_{111} in a cubic crystal is 325.6 pm. The value of d_{333} is
- (a) 325.6 pm
- (b) 976.8 pm
- (c) 108.5 pm
- (d) 625.6 pm
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Answer: (b)
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Q35 · Dec 2011 · 2 marks
Consider a n-type semiconductor whose E_V = 0, E_C = 2.0 eV and E_D = 1.98 eV. The correct statement among the following is
- (a) E_F = 1 eV and is independent of T
- (b) E_F = 1.99 eV and remains independent of T
- (c) E_F = 1.99 eV and increases towards 2.0 eV with increase of T
- (d) E_F = 1.99 eV and decreases with increase of T.
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Answer: (d)
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