Q.No:1 JAM-2015
Miller indices of a plane in cubic structure that contains all the directions [100], [011] and [111] are
(A)
\((011)\)
(B)
\((101)\)
(C)
\((100)\)
(D)
\((110)\)
Check Answer
Option D
Q.No:2 JAM-2015
Seven uniform disks, each of mass \(m\) and radius \(r\) ,are inscribed inside a regular hexagon, as shown. The moment of inertia of this system of seven disks, about an axis passing through the central disk and perpendicular to the plane of the disks, is
(A)
\(\frac{7}{2}mr^2\)
(B)
\(7mr^2\)
(C)
\(\frac{13}{2}mr^2\)
(D)
\(\frac{55}{2}mr^2\)
Check Answer
Option D
Q.No:3 JAM-2015
GaAs has a diamond structure. The number of Ga-As bonds per atom which have to be broken to fracture the crystal in the (001) plane is ____________.
Check Answer
Ans 2
Q.No:4 JAM-2016
The number of second-nearest neighbor ions to a \(Na^+\) ion in \(NaCl\) crystal is ________________ .
Check Answer
Ans 12
Q.No:5 JAM-2016
X-ray diffraction of a cubic crystal gives an intensity maximum for Bragg angle of \(20^\circ \) corresponding to the (110) plane. The lattice parameter of the crystal is _____________ nm.
(Consider wavelength of X-ray = 0.15 nm)
Check Answer
Ans 0.28-0.35
Q.No:6 JAM-2017
A plane in a cubic lattice makes intercepts of \(a,\frac{a}{2}\) and \(\frac{2a}{3}\) with the three crystallographic axes, respectively. The Miller indices for this plane are:
(A)
\((2\hspace{1mm}4\hspace{1mm}3)\)
(B)
\((3\hspace{1mm}4\hspace{1mm}2)\)
(C)
\((6\hspace{1mm}3\hspace{1mm}4)\)
(D)
\((1\hspace{1mm}2\hspace{1mm}3)\)
Check Answer
Option A
Q.No:7 JAM-2017
\(KCl\) has the \(NaCl\) type structure which is fcc with two-atom basis, one at \((0,0,0)\) and the other at \((\frac{1}{2},\frac{1}{2},\frac{1}{2})\). Assume that the atomic form factors of \(K^+\) and \(Cl^-\) are identical. In an x - ray diffraction experiment on KCl , which of the following \((h\hspace{0.5mm}k\hspace{0.5mm} l)\) peaks will be
observed?
(A)
(1 0 0)
(B)
(1 1 0)
(C)
(1 1 1)
(D)
(2 0 0)
Check Answer
Option D
Q.No:8 JAM-2018
Which of the combinations of crystal structure and their coordination number is (are) correct?
(A)
body centered cubic–8
(B)
face centered cubic–6
(C)
diamond–4
(D)
hexagonal closed packed–12
Check Answer
Option A,C,D
Q.No:9 JAM-2018
The lattice constant of unit cell of NaCl crystal is 0.563 nm. X-rays of wavelength 0.141 nm are diffracted by this crystal. The angle at which the first order maximum occurs is _____________ degrees.
(Specify your answer in degrees upto two digits after the decimal point.)
Check Answer
Ans 12-15
Q.No:10 JAM-2019
Which one of the following crystallographic planes represent (101) Miller indices of a cubic unit cell?
Check Answer
Option B
Q.No:11 JAM-2019
The location of \(Cs^+\) and \(Cl^-\) ions inside the unit cell of \(CsCl\) crystal is shown in the figure. The Bravais lattice of \(CsCl\) is
(A)
simple cubic
(B)
body centered orthorhombic
(C)
face centered cubic
(D)
base centered orthorhombic
Check Answer
Option A
Q.No:12 JAM-2019
In the X-ray diffraction pattern recorded for a simple cubic solid (lattice parameter \(a=1\) Angstrom) using X rays of wavelength \(1\)Angstrom, the first order diffraction peak(s) would appear for the
(A)
(100) planes
(B)
(112) planes
(C)
(210) planes
(D)
(220) planes
Check Answer
Option A
Q.No:13 JAM-2019
Sodium \((Na)\) exhibits body-centered-cubic (BCC) crystal structure with atomic radius 0.186 nm. The lattice parameter of \(Na\) unit cell is _____________ nm.
(Round off to 2 decimal places)
Check Answer
Ans 0.42-0.43
Q.No:14 JAM-2019
The flux of the function \(\vec{F}=(y^2)\hat{x}+(3xy-z^2)\hat{y}+(4yz)\hat{z}\) passing through the surface ABCD along \(\hat{n}\) is ______________.
(Round off to 2 decimal places)
Check Answer
Ans 1.16-1.17
Q.No:15 JAM-2020
The figure below shows a cubic unit cell with lattice constant \(a\). The shaded crystallographic plane intersects the x-axis at \(0.5a\). The Miller indices of the shaded plane are
(A)
\((210)\)
(B)
\((\bar{2}10)\)
(C)
\((110)\)
(D)
\((112)\)
Check Answer
Option A
Q.No:16 JAM-2020
Consider the crystal structure shown in the figure, where black and grey spheres represent atoms of two different elements and \(a\) denotes the lattice constant. The Bravais lattice for this structure is
(A)
Simple cubic
(B)
Face-centered cubic
(C)
Body-centered cubic
(D)
Triclinic
Check Answer
Option B
Q.No:17 JAM-2020
A solid with FCC crystal structure is probed using X-rays of wavelength 0.2 nm. For the crystallographic plane given by (2, 0, 0), a first order diffraction peak is observed for a Bragg angle of \(21^\circ\). The unit cell size is _____________ nm. (Round off to 2 decimal places)
Check Answer
Ans 0.55-0.57
Q.No:18 JAM-2021
Metallic lithium has bcc crystal structure. Each unit cell is a cube of side \(a\). The number of atoms per unit volume is
(A)
\(\frac{1}{a^3}\)
(B)
\(\frac{2}{\sqrt{2}a^3}\)
(C)
\(\frac{2}{a^3}\)
(D)
\(\frac{4}{a^3}\)
Check Answer
Option C
Q.No:19 JAM-2021
A crystal has monoclinic structure, with lattice parameters, a = 5.14 Angstrom, b = 5.20 Angstrom, c = 5.30 Angstrom and angle \(\beta\) = \(99^\circ\). It undergoes a phase transition to tetragonal structure with lattice parameters, a = 5.09 Angstrom and c = 5.27 Angstrom. The fractional change in the volume \(|\frac{\Delta V}{V}|\) of
the crystal due to this transition is ___________________ (Round off to two decimal places)
Check Answer
Ans 0.02-0.03
Q.No:20 JAM-2021
In an X-ray diffraction experiment with Cu crystals having lattice parameter 3.61 Angstrom, X-rays of wavelength of 0.090 nm are incident on the family of planes \(\{1 1 0\}\). The highest order present in the diffraction pattern is ______________.
Check Answer
Ans 2
Q.No:21 JAM-2023
For a cubic unit cell, the dashed arrow in which of the following figures represents the direction [220]?
Check Answer
Option C
Q.No:22 JAM-2023
The lattice(in Å) constant of copper, which has FCC structure, is
__________________
(rounded off to two decimal places).
Given: density of copper is 8.91 g c\(m^{-3}\) and its atomic mass is 63.55 g \(mol^{-1}\) ; Avogadro’s number = 6.023 × \(10^{23}\) \(mol^{-1}\)
Check Answer
Ans 3.60-3.65
Q.No:23 JAM-2024
The total number of Na and Cl ions per unit cell of the NaCl crystal is:
A) 2
B) 4
C) 8
D) 16
Check Answer
Option C
Q.No:24 JAM-2024
A crystal plane of a lattice intercepts the principal axes \(\vec{a}_1\), \(\vec{a}_2\), and \(\vec{a}_3\) at \(3a_1\), \(4a_2\), and \(2a_3\), respectively. The Miller indices of the plane are:
A) (436)
B) (342)
C) (634)
D) (243)
Check Answer
Option A
Q.No:25 JAM-2024
The number of atoms in the \(\text{basis}\) of a primitive cell of hexagonal closed packed structure is:
A) 1
B) 2
C) 3
D) 4
Check Answer
Option B
Q.No:26 JAM-2024
For a simple cubic crystal, the smallest inter-planar spacing \( d \) that can be determined from its second order of diffraction using monochromatic X-rays of wavelength \( 1.32 \)Å is _______________ Å. (Round off to two decimal places)
Check Answer
Ans 1.32
Q.No:27 JAM-2025
Which of these cubic lattice plane pairs is(are) perpendicular to each other?
A) (100), (010)
B) (220), (001)
C) (110), (010)
D) (112), (220)
Check Answer
Option A,B
Q.No:28 JAM-2025
For a body centered cubic (bcc) system, the x-ray diffraction peaks are
observed for the following \(h^2 + k^2 + l^2\) value(s).
[\(h, k,\) and \(l\) are Miller indices]
A) 3
B) 4
C) 5
D) 7
Check Answer
Option B
Q.No:29 JAM-2025
The ratio of the density of atoms between the (111) and (110) planes
in a simple cubic (sc) lattice is ______. (up to two decimal places)
Check Answer
ANS 0.80 to 0.84
Q.No:30 JAM-2025
The packing fraction for a two-dimensional hexagonal lattice having
sides 2r with atoms of radii r placed at each vertex and at the center
is ______. (up to two decimal places)
Check Answer
ANS 0.89 to 0.93 or 89 to 93
Q.No:31 JAM-2025
In an orthorhombic crystal, the lattice constants are
3.0 \(A^\circ\), 3.2 \(A^\circ\), and 4.0 \(A^\circ\).
The distance \(d_{101}\) between the successive (101) planes is
______ \(A^\circ\). (up to one decimal place)