PU CET PG 2017 Question Paper M.Tech._Material Science _ Technology_

M.Tech.(Material Science & Technology)

1. Superconductors are
A) Diamagnetic B) Ferromagnetic
C) Paramagnetic D) Super paramagnetic

2. Two photons are approaching each other, their relative velocity is
A) c2 B) c/2 C) 2c D) c

3. Two wave function ᴪ and ᴪ are said to be orthogonal to each other is
A) ᴪ ᴪ dv=0 B) ᴪ ᴪ dv=1
C) ᴪ / ᴪ dv= 1 D) (ᴪ / ᴪ ) dv=0

4. Among these, which one has largest wave length?
A) X- Rays B) UV rays
C) Micro waves D) Radio waves

5. A phonon is a quantum of
A) Electromagnetic wave B) Gravitational wave
C) Elastic wave D) Microwave

6. Cooper pair of electron is a
A) Boson B) Fermion
C) Classical particle D) Nucleon

7. Stress amplitude (S) Vs number of cycles to the fatigue failure (N) plot provides the
information about the following property
A) Roughness B) Hardness
C) Creep D) Fatigue

8. Match the phrases in the group I and II and identify the correct option.
Group I Group II
P. Electron spin resonance i) Radio frequency
Q. Nuclear magnetic resonance ii) Visible range frequency
R. Transition between vibrational states of molecules iii) Microwave frequency
S. Electronic transition iv) Far infrared range
A) P-(i),Q-(ii),R-(iii),S-(iv) B) P-(ii), Q-(i),R-(iv), S-(iii)
C) P-(iii), Q-(iv),R- (i),S-(ii) D) P-(iii),Q-(i),R-(iv),S-(ii)

9. Zero point energy of harmonic oscillator is
<
A) ħP B) 0 C) ħP D) ħP

10. In Newton’s rings experiment, the diameter of rings is proportional to
R
A) Q B) Q C) Q. D) Q

11. In HCP unit cell the value of c/a is equal to
T H
A) S B) S
< <
0 <
C) S D) S
< T

12. The Poynting vector S of an electromagnetic wave is:
A) S= E X H B) S=E X B C) S= E/B D) S=E/H
13. Two heat capacities of an ideal gas are related as
A) Cp-Cv=R B) Cp+Cv=R
C) Cp/Cv=R D) Cv/Cp=R

14. Which of the following is not a thermoelectric effect?
A) Seebeck Effect B) Peltier effect
C) Peltier Effect D) Meissner Effect

15. The degree of freedom when ice, water and water vapors co-exist in equilibrium is
A) 1 B)0 C) 2 D) 3

16. Hydrogen bonds are stronger than
A) Van der Waals bonds B) Ionic bonds
C) Metallic bonds D) Covalent bonds

17. A 1mm particle is converted into a number of nanometer size particles, the effective
surface area of the
A) Increases B) Decreases
C) Remain unchanged D) Cannot predict

18. Number of tetrahedral voids in HCP unit cell is
A) 4 B) 6 C) 12 D) 10

19. The SI units of current density are
A) Am-2 B) Am C) Am3 D) Am-3

20. The resistivity of pure silicon at room temperature is 3000 ohm m. The intrinsic carrier
density is
A) 2 X 106 m-3 B) 1.09 X 1016 m-3
C) 1 X 108 m-3 D) None of these

21. Band gap of Si is
A) 1.1 eV B) 0.66eV C) 6eV D) 2.2 eV

UV X .[
22. WX = XZ [ is
Y Z

A) Einstein relation B) Clausius-Mossoti relation

C) Maxwell-Boltzmann Relation D) Clausius-Clapeyron

23. The wave function for the motion of a particle in a one dimensional potential box of
\`a
length L is given by ᴪ\ = ] ^_\ ( ) where A is the normalization constant. The value
b
of A is
[ [ c W
A) b B) Sb C) Sb D) Sb

24. Uncertainty relation holds for
A) Macroscopic particles B) Microscopic particles
C) Macro as well as micro particles D) None of these

25. The dimensions of Planks constant are
A) M L2 T-1 B) M L1 T-1 C) M L3 T-1 D) M L2 T-2

26. Temperature of the system increases in an
A) Adiabatic expansion B) Isothermal expansion
C) Adiabatic compression D) Isothermal compression

27. The variation of enthalpy of a reaction with temperature is given by
A) Clausius-Clapeyron equation B) Kirchoff's equation
C) Van't Hoff equation D) Gibbs Duhem equation.

28. The internal energy of an ideal gas is dependent on
A) Only V B) Only T C) T and V D) T and P.

29. At the triple point of water, the degree of freedom of the system is
A) 3 B) 2 C) 1 D) 0

30. Bond energy of a substance is
A) Always positive B) Always negative
C) Can be positive or negative D) Zero

31. The colour of [Ti(H2O)6] 3+ ion is due to
A) Presence of water molecule B) Intramolecular vibrations
C) Charge transfer transition D) d-d transition.

32. Tetrahedral complexes are generally high spin complexes due to
A) High crystal field stabilization energy
B) Low crystal field stablization energy
C) Absence of inversion center
D) Low pairing energy
33. Which of the following property is not shown by transition metals?
A) Variable co-ordination number B) Colour
C) Variable oxidation state D) Natural radioactivity.

34. Which of the factors does not effect the reaction rate?
A) Molecular weight of reactants B) Pressure
C) Temperature D) Catalyst

35. The rate of a reaction is same as the rate constant if order of the reaction is
A) 0 B) 1 C) 2 D) fraction.

36. Which of the following is formed by condensation polymerization?
A) Polyethylene terphthalate B) Polystyrene
C) Polymethyl methacrylate D) Polyvinyl chloride.

37. Nylon-6:10 is a
A) Polyester fiber B) Polyamide fiber
C) Phenolic resin D) Epoxy resin

38. High density highly stereospecific polymers can be obtained by
A) Zigler-Natta polymerization B) Ionic polymerization
C) Condensation polymerization D) Free radical polymerization.

39. The minimum value of P.D.I. (poly dispersity index) for a polymer sample can be
A) -1 B) 0 C) 1 D) 2

40. At high hydrogen overvoltage the rate of corrosion
A) Increases B) Decreases
C) May increase or decrease D) Remains uneffected.

41. Sacrificial anodic protection method is an example of
A) Anodic protection B) Cathodic protection
C) Organic coating D) Metallic coating.

42. Which of the following metals is protected due to formation of a protective layer of its oxide?
A) Pt B) Au C) Fe D) Al

43. Which of the following process is endothermic?
A) Neutralization B) Photosynthesis
C) Polymerization D) Adsorption.

44. The mode of excitation in IR spectroscopy is
A) Electronic B) Vibrational
C) Rotational D) Magnetic
45. Woodward-Fieser rule is for estimation of position of peak in
A) UV-visible spectroscopy B) IR spectroscopy
C) Microwave spectroscopy D) NMR Spectroscopy.

46. Iodometry is used for estimation of
A) Oxidizing agent B) Reducing agent

C) Acid D) Base

47. Estimation of hardness of water by using EBT as indicator is an example of
A) Precipitation titration B) Redox titration
C) Complexometric titration D) Neutralization titration.

48. The number of gram equivalents per litre of the solution is called
A) Molarity B) Molality C) Normality D) Strength

49. The most important indoor air pollutant is
A) SO2 B) CO2 C) O3 D) Radon

50. The maximum number of isomers for an alkene C4H8 is
A) 3 B) 4 C) 5 D) 6

51. The possible set of eigen values of a 4 × 4 skew-symmetric orthogonal real matrix is
A) {±d} B) {±d, ±1} C) {±1} D) {0, ±d}

52. Let P be a 2 × 2 complex matrix such that trace(e) = 1 and det(e) = −6. Then, trace (e4
− e3) is
A) 78 B) 81 C) 16 D) 64

53. Let f be the contour |g| = 2 oriented in the anti-clockwise direction and |g| = 1 in the
hi
clockwise direction. The value of the integral ∮l j
ki is
A) 2 πd B) 3πd C) πd D) 0

[ c Y
54. The matrix = =[ W [@can be decomposed uniquely into the product = nU, where
Y [ W
[ Y Y q[[ q[c q[W
n = =oc[ [ Y@ and p = = Y qcc qcW @. The solution of the system nX =
oW[ oWc [ Y Y qWW
r[ c cs is
t

A) r[ [ [st
B) r[ [ Yst
C) rY [ [st
D) r[ Y [st

55. Two distinguishable fair coins are tossed simultaneously. Given that one of them lands up
head, the probability of the other to land up tail is equal to
A) 1/3 B) ½ C) 2/3 D) 3/4

56. Which one of the following statements holds?
A) The series ∑v
\wY a converges for each a ∈ r−[, [s.
\

B) The series ∑v
\wY a converges uniformly in a ∈ (−[, [).
\

a\
C) The series ∑v
\wY converges for each a ∈ r−[, [s.
\
a\
D) The series ∑v
\wY \c converges uniformly in a ∈ (−[, [).

k [
57. If then the value of (az (a.[ ) is
ka [)

{|} a {|} a {|} a
A) {|} a B) C) D)
a ac aW

v v [ .~/c
58. The value of the integral Y a ~
h k~ ka is
[ [
A) − B) [ C) -1 D)
c c

59. M has a son Q and a daughter R. He has no other children. E is the mother of P and
daughter-in-law of M. How is P related to M?
A) P is the son-in-law of M B) P is the grandchild of M
C) P is the daughter-in law of M D) P is the grandfather of M

€•‚ i
60. For •(i) = ic , the residue of the pole at z = 0 is

A) 1 B) 0 C) -1 D) 2

61. The particular solution of the initial value problem given below is
kc ~ k~
+ [c + Wƒ~ = Y
kac ka
with ~(Y) = W, ~„ (Y) = −Wƒ
A) (W − […a)h.ƒa
B) (W + c†a)h.ƒa
C) (W + cYa)h.ƒa
D) (W − [ca)h.ƒa

62. A triangle in the a~-plane is bounded by the straight lines ca = W~, ~ = Y and a = W.
The volume above the triangle and under the plane ‡ + ˆ + ‰ = ƒ is
A) 11 B) 9 C) 10 D) 12

63. M and N start from the same location. M travels 10 km East and then 10 km North-East.
N travels 5 km South and then 4 km South-East. What is the shortest distance (in km)
between M and N at the end of their travel?
A) 18.60 B) 22.50 C)20.61 D) 25.00

64. How many distinct values of x satisfy the equation sin(x) = x/2, where x is in radians?
A) 1 B) 2 C) 3 D) 4 or more

65. P, Q, R and S are working on a project. Q can finish the task in 25 days, working alone
for 12 hours a day. R can finish the task in 50 days, working alone for 12 hours per day.
Q worked 12 hours a day but took sick leave in the beginning for two days. R worked 18

hours a day on all days. What is the ratio of work done by Q and R after 7 days from the
start of the project?

A) 10:11 B) 11:10 C) 21:20 D) 20:21
[ [ Y
66. The distinct eigen values of the matrix =[ [ Y@ are
Y Y Y
A) 0 and 1 B) 1 and -1 C) 1 and 2 D) 0 and 2

Šc
67. The inverse Laplace transform of (Šc .‹)(Šc .Œ) is
W €•‚ Wt.c €•‚ ct
A)
†
W €•‚ Wt c €•‚ ct
B)
†
c €•‚ Wt.W €•‚ ct
C)
†
c €•‚ Wt W €•‚ ct
D) †

68. If x; y and z are positive real numbers, then the minimum value of ac + …ˆ c + c•ic
[ [ [
where a + + = [ is
~ i

A) 1048 B) 216 C) 405 D) 108

69. The number that least fits this set: (324, 441, 97 and 64) is ________.
A) 324 B) 441 C) 97 D) 64

70. It takes 10 s and 15 s, respectively, for two trains travelling at different constant speeds to
completely pass a telegraph post. The length of the first train is 120 m and that of the
second train is 150 m. The magnitude of the difference in the speeds of the two trains (in
m/s) is ____________.

A) 2.0 B) 10.0 C) 12.0 D) 22.0

71. Which of the following is the imaginary part of the {|} √_ ?
` ` `
A) c B) ‹ C) … D) Π

72. If ˆ = †‡ c + W, then the tangent at ‡ = Y, ˆ = W
A) Passes through a = Y, ~ = Y
B) Has a slope of +1
C) Is parallel to the a-axis
D) Has a slope of −1

[ Y Y
73. If = =[ Y [@, then ]†Y is
Y [ Y
[ Y Y
A) =†Y [ Y@
†Y Y [

[ Y Y
B) =‹… [ Y@
‹… Y [
[ Y Y
C) =c† [ Y@
c† Y [
[ Y Y
D) =c‹ [ Y@
c‹ Y [

74. The root of the equation aha = [ between 0 and 1, obtained by using two iterations of
bisection method, is
A) 0.25 B) 0.50 C) 0.75 D) 0.65

75. The flux of the vector field q = a Ž• + ~ •• + i ‘’ flowing out through the surface of the
ac ~c ic
ellipsoid “c + ”c + •c = [, Y < ” < “, is
A) π“”•
B) cπ“”•
C) Wπ“”•
D) ‹π“”•
x-x-x