PU CET PG 2018 Question Paper M.Tech._Material Science _ Technology_

M.Tech.(Material Science & Technology)
1. Transmission coefficient at the junction of two media of impedances Z1 and Z2 is unity if
A) Z1> Z2 B) Z1< Z2
C) Z1 =Z2 D) Z1 and Z2 can have any value.

2. Which one of the following phenomenon does not illustrate the particle aspect of wave
particle duality?
A) Photoelectric Effect B) Compton Effect
C) Bragg’s law D) Black Body Radiation

3. Electron behaves like a wave as it
A) Can be deflected by an electric field
B) Can be deflected by a magnetic field
C) They ionize a gas
D) Can be diffracted by a crystal

4. Bose Einstein Distribution approaches to Maxwell Boltzmann distribution at
A) Low temperature or high density
B) High temperature or low density
C) Low temperature or low density
D) High temperature or high density

5. A moving particle is associated with a wave packet. The group velocity is equal to:
A) Velocity of light B) Velocity of sound
C) Velocity of particle D) (Particle velocity)2

6. Each part of the hologram contains the information about
A) Particular part of the object B) Entire object
C) Some important part of the object D) Front side of the object

7. Two coherent sources having intensity ratio 81:1 produce interference fringes. The
ratio of maximum to minimum intensity will be
A) 25:16 B) 9:1
C) 81:1 D) 5:4

8. According to Maxwell’s law of distribution of velocities of molecules, the most
probable velocity is
A) Greater than the mean velocity
B) Equal to the mean velocity
C) Equal to the root mean square velocity
D) Less than the root mean square velocity

9. The duration of a radar pulse is 10 -6 s. The uncertainty in its energy will be:
A) 1.05 X 10-14 J B) 1.05 x 10-21 J
C) 1.05 X 10-28 J D) 1.05 X 10-35 J

10. Out of the following moving with the same velocity, the one which has largest
wavelength is
A) An electron B) A proton
C) A neutron D) An alpha particle

11. When a vibrating system is subjected to an external periodic force, it is said to be in a
state of
A) Forced vibration B) Batural vibration
C) Damped vibration D) Free undamped vibration

12. A beam of light is incident on a glass plate at an angle of incidence 60 o. The reflected
ray is polarized. What is the angle of refraction when angle of incidence is 45 o?
A) 30o B) 60o
C) sin-1(1/6) D) sin-1(1/3)

13. An X-ray photon is found to have its wavelength doubled on being scattered through
90o. The wavelength is
A) 0.024 Å B) 0.24 Å
C) 0. 24 nm D) 0.024 m
14. Metastable state in a laser medium has a mean lifetime of about
A) 10-3 sec B) 10-8 sec
C) 10-9 sec D) 10-5 sec

15. In an optical fiber, at maximum acceptance angle
A) The critical angle is minimum
B) The critical angle is maximum
C) The critical angle is zero
D) The critical angle is negative

16. The entire information of a system quantum mechanically can be obtained with the
help of its
A) Position B) Wave function
C) Eigen value D) Momentum

17. A diffraction pattern is obtained using a beam of red light. If the red light is replaced
by blue light then
A) There is no change in the diffraction pattern
B) Diffraction bands become narrower and crowded together
C) Diffraction bands become broader and farther apart
D) Diffraction bands disappear

18. A lift is ascending at an acceleration of 3 m/s2. The period of oscillation of simple
pendulum of length one meter suspended in the lift is
A) 2.41 sec B) 1.99 sec

C) 1.76 sec D) 0.38 sec

19. Dimensions of modulus of elasticity are:
A) ML-1T-2 B) ML1T2
C) ML2T-2 D) ML2T-2

20. Which type of microscope is used to determine particle diameter between 10 to 100nm?
A) Optical microscope
B) Electron microscope
C) Both optical and electron microscope
D) Atomic force microscope

21. Miller indices of a plane that makes an intercept of 1 on a-axis, 2 on b-axis and is parallel
to c-axis:
A) (110) B) (210)
C) (1 ½ 0) D) (120)

22. Crystal structure of materials can be investigated using
A) X- Rays B) UV rays
C) Micro waves D) Radio waves

23. Graphite is a common allotrope of Carbon. Its crystal structure is:
A) Cubic B) Monoclinic
C) Orthorhombic D) Hexagonal

24. Burger vectors are relevant to which of the following crystalline defects?
A) Point defects B) Line defects
C) Interfacial defects D) Bulk defects

25. 25 Gibbs phase rule for general system is:
A) P+F=C-1 B) P+F=C+1
C) P+F=C-2 D) P+F=C+2

26. The radius of anion is rA and of cation is rC, the bond length is
A) ( rA + rC) B) √ ( rA + rC)
C) √ ( rA - rC) D) ( rA - rC)

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

28. Eutectoid product in Fe-C system is called
A) Pearlite B) Bainite
C) Ledeburite D) Spheroidite

29. The crystal structure of gamma iron is
A) Body centered cubic B) Face centered cubic
C) Simple cubic D) Hexagonal close packed

30. Relative amounts of phases in a region can be deduced using
A) Phase rule
B) Lever rule
C) Both phase rule as well as Lever rule can be used
D) Law of chemical kinetics
31. The units of diffusion coefficient are
A) cm/s B) cm2/s
C) cm/s2 D) cm/s3

32. Silicon is having 1.1.eV band gap. It can absorb following regions of the electromagnetic
spectrum.
A) Both ultraviolet and visible light B) Visible light
C) Ultraviolet light D) Only infrared light

33. Fracture toughness, KIC, decreases with
A) Increasing strain rate B) Increasing temperature
C) Increasing yield strength D) Increasing grain size

34. Slip plane for a metal crystal having FCC structure is
A){ } B) { }
C) { } D) { }

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

36. Hall-Petch equation is related to
A) Grain size B) Impurity addition
C) Phased transformation D) Crack initiation

37. In ZnS unit cell, coordination number of each ion is
A) 6 B) 5
C) 8 D) 4

38. A Zn rod dipped partially in an electrolyte is reactive to corrosion due to
A) Galvanic corrosion B) Pitting corrosion
C) Stress corrosion D) Differential aeration corrosion

39. In acidic solution which of the following is not used to control corrosion
A) Amine B) Na2SO3
C) Marcaptans D) Antimony oxide

40. Out of the given complexes which one will show highest crystal field splitting
A) [Co(H20)6]2+ B) [Rh(H20)6]3+
C) [Co(H20)6]3+ D) [Fe(H20)6]2+

41. The number of peaks observed in IR spectra of CO2 is
A) 3 B) 4
C) 2 D) 5

42. Which one of the following is most reactive towards dry corrosion
A) Cu B) Fe
C) Mo D) Pt

43. The value of CFSE for the complex [CoCl4]2- is
A) -5.34 Dq B) 2 Dq
C) -12 Dq D) 8.90 Dq

44. Select the one absorbing IR radiation at highest frequency
A) O-H B) C-H
C) F-H D) N-H

45. Which of the following are the monomers for the polymers kevlar
A) Bisphenol&Epichlorohydrin
B) Terephthalic acid dichloride & 1, 4-diaminobenzene
C) Phenol & Formaldehyde
D) Terephthalic acid & Methanol

46. In a bomb calorimeter, CH4 was subjected to combustion at 25 oC& heat evolved was
found to be 742.7kJ. The value of qp for the process will be
A) -742.7kJ B) 791.95 kJ
C) -791.95 kJ D) 742.7kJ

47. Select the one showing highest ƛmax in electronic spectrum
A) Ethylene B) 1,3,5hexatriene
C) but-2-ene D) 1,3 butadiene

48. From the given choices select the one which will have highest Tm
A) High density polyethylene B) Nylon 6,6
C) Polyethyleneterphthalate D) Polyacrylonitrile

49. Which of the following is the catalyst for hydroformylation reaction of alkenes
A) K2PdCl4 B) RhHCO(PPh3)3
C) Zn-Cu Oxide D) RhCl(PPh3)3

50. Identify the method not used in determining number average molecular weight of any
polymer
A) Osmotic pressure measurement

B) Depression in freezing point
C) Sedimentation equilibrium
D) Functional group analysis

51. Which of the following is not related to electronic spectroscopy
A) Hypochromic shift B) Overtones
C) Bathochromic shift D) Charge transfer transitions

52. Entropy change in an isothermal process is given by
A) nCvlnT2/T1 B) -nRlnP2/P1
C) nRlnV2/V1 D) Both B & C

53. What will be the amount of work when two moles of an ideal gas held by a piston under
10 atm & at 273 K undergo sudden isothermal expansion to 2 atm
A) 3631.5 J B) 7307.5J
C) No work done D) 36315.5 J

54. In which of the given solvents the value of λ of acetone for n to Π* transition will be
maximum
A) Water B) Chloroform
C) Ethyl alcohol D) Hxane

55. Which of the following is not the property of a catalyst
A) Remains unchanged in amount & chemical composition
B) Does not alter the position of equilibrium
C) Does not initiate the reaction
D) Does not alter the nature of products

56. The entropy change in evaporation of one mole of water if it absorbs 540 cal/g of heat is
A) 6.05 J/K mol B) 109.03 J/K mol
C) 406.68 J/K mol D) There is no change in entropy

57. The general solution of the ordinary differential equation − = is
A) = + B) = +
C) = − D) =

58. The general solution of the differential equation ( − + − ) = where
= , is given by
A) = + +
B) =( + + ) +
C) = +
D) =( + + ) +

/ < <
59. Using the concept of fourier integral for the function ( ) = , the
>
∞
value of integral∫ is given by
A) 2 B) /2
C) D) 3 /4

60. Let ( ) = | |, (− < < ) e a periodic function with period , then the fourier
series of f(x) is given by
A) − ( + 3 + 5 + ⋯……..)
B) + ( + 3 + 5 + ⋯……..)
C) + + 3 + 5 +⋯
D) +( + + 2 + 2 + ⋯.)

61. Let = − , then the value of is given by
A) −
B) −
C) +
D) +

62. Using Cauchy’s integral formula, find the value of integral (counterclockwise).
∮ , :| − | = .
A) 3 B) 3
C) 9 D) 8

63. If A and B are events in a sample space with P(A)=1/3, P(B)=1/2, P(A|B)=1/2,
P(B|A)=3/4, the find P(A∩B).
A) ½ B) 3/4
C) 1/6 D) 1/4

64. Find the sum of the series ∑∞ (− ) if it converges.
A) 1 B) -1
C) 0 D) Divergent series
∞
65. The sum of the series ∑ is given by
( )
A) 1 B) -1
C) 2 D) -2
( )
66. The value of is
→∞ !
A) 1 B) 2
C) -2 D) 0

67. Which one of the following statements hold for the series ∑∞ ?
A) Convergent for all values of p
B) Convergent for p>0 and divergent otherwise
C) Convergent for p>1 and divergent for ≤
D) Divergent for all real values of p

68. If = , then the value of = is given by
A) ∫
B) ∫
C) ∫
D) ∫
69. Find the Laplace transform of ( ) = .
A) ( ) B) ( )
C) D) ( )
70. Find the inverse Laplace transform of ( ).
A) B)
C) D) +

71. Find the length of the one turn of the helix ( )⃗ = ̂+ ̂+ .
A) B) 2√2
C) 3 D) √2
72. Find the curvature of the curve ( )⃗ = ̂ + ̂, t > 0.
A) B)
√
√
C) D)

73. Find the value of .
( , )→( , )
A) 0 B) 1
C) 3 D) Limit does not exist.

74. The plane x=1 intersects the paraboloid = + in a parabola. Find the slope of the
tangent to the parabola at the point (1,2,5).
A) 2 B) -3
C) 4 D) -4

75. The plane + + = cuts the cylinder + = in an ellipse. Find the points on
the ellipse that lie closest and farthest from the origin.
A) , , 1 , − , 1,1 B) (1,1, −1), (1,3,0)
C) (1,0,0), (0, −1,0) D) , , 1 − √2 , (− ,− , 1 + √2)
√ √ √ √