1. The eigenvalues of the matrix

1 2
are
4 3

2,1

1,3



4,3

2. The smallest positive integer for which is











3. Let x^3 x then f" is

55/9

1/9

65/32

63/32

4. The area of the region that is bounded by the curve y the line x 1 and the x-axis is (in square units)

3/2

2/3

1/2

1

5. Twenty persons are to sit at a round table. The probability of having a seating arrangement such that four persons can sit in between any two persons A and B is

4/19

1/5

2/19

1/20

6. The surface of the sun is at a temperature of 6000K and the peak of its emission spectrum occurs at 500 11111. If a body has a surface temperature of 300 K then the peak of its emission spectrum appears at

10000 µm

10000 nm

1000 nm

1000 µm

7. If an atom has filled n 1 and 2 levels, then the number of electrons in the atom are









8. A thermodynamic system, initially at absolute temperature T1 contains a mass of water with specific heat capacity If heat is added to the system until the temperature rises to T2, then the change in entropy of the water is (assuming water is incompressible)

mc ln T2/T1

mc T2^2 /T1

mc(T2-T1)

9. A spring of force constant k is stretched by a distance d by doing work, W. If the work required to stretch another spring by a distance d/2 is 2W, then the force constant of the second spring is

4k

0.5k

2k

8k

10. A simple pendulum of length I is suspended from the ceiling of a lift in a tall building. If the lift is accelerating upwards with acceleration then the time period, for small oscillations of the pendulum is

src='./qimages/8050-10.jpg'>

11. Which one of the following is a one dimensional nanomaterial

Nanowire.

Nanoparticle.

Thin film.

Graphene.

12. According to the Madelung energy ordering rule, the electronic configuration of Nickel which is in the first transition series of the periodic table is

4s^1

4s^2

[Ar]3d^1l 4s^1

[Ar]3d^10 4s^1

13. Which of the following is known as Lucas Reagent?

Mixture ofAnhydrous ZnCh and Concentrated HCl.

Mixture of cold Br2 and CCl4 solution.

Concentrated AgN03 solution.

Concentrated KMn04 solution.

14. A solid is composed of spherical particles of diameter less than 10 nm. The technique that can be used to measure the size of these particles is

X-Ray diffraction.

Transmission Electron Microscopy.

Ultraviolet-Visible spectrometry.

Raman Spectroscopy.

15. Na and Na+ differ in all of the following, except

Number of electrons.

Number ofProtons.

Radius.

Net electronic charge.

16. In a p-type semiconductor the majority charge carriers are

holes.

electrons.

neutrons.

protons.

17. Which of the following materials does not have covalent bonds?

Polymer.

Si.

Cu.

Diamond

18. A crystalline solid is polymorphic if it

exists in the same crystal structure under all conditions.

exists in different crystal structures depending on temperature.

has atoms distributed in random patterns.

has different microstructures at different temperatures.

19. Bronze is an alloy of the elements,

CuandZn.

Cu, Sn and Zn.

Cu and Sn.

Sn and Pb.

20. The Miller indices for the octahedral plane in a simple cubic crystal are









21. The number of slip systems for gold are









22. The concentration of CO2 required for culturing animal cells is





11-15%

18-20%

23. The Southern Blotting technique depends on

Sequences of probe DNA and experimental

Similarities between the probe RNA and experimental

Similarities between the probe protein and experimental protein.

The molecular mass of proteins.

24. Formation ofmRNA from DNA is called

Transformation.

Transduction.

Translation.

Transcription.

25. If a DNA nucleotide has a sequence AGCTTCGA then the sequence of other chain would be

TCGAAGCT.

GCTAAGCT.

TAGCATAT.

GATCCTAG. PARTB

26. DNA molecules make a complete turn after every

20A

34A

3.4A

10 base pairs

27. During DNA replication, the reunion or recoiling of separated DNA strands is prevented by

Helix destabilizing protein.

Single strand binding protein.

Both and

Rep protein.

28. The codons which may be present at the end ofmRNA is UAG. e. Anyone of these.

29. The site that binds amino acid in tRNA is

5'end

-CCA end

DHU loop.

Anticodon loop.

30. If the DNA sequence is TAG, then the sequence in anticodon oftRNA is

ATG.

ATC.

UAG.

UAC

31. Monoclonal antibodies are typically made by cell culture that involves fusing

Myeloma cells.

Hybridoma cells.

Monocytes.

Adipocytes .

32. Which one of the following organisms is used for the large scale production of recombinant insulin?

Plasmodium.

Agrobacterium.

Rhizobium.

E.Coli.

33. Glucose is added to tissue culture medium as a

Growth regulator.

Carbon source.

Nitrogen source

Solidifying agent.

34. In genetic engineering, a chimera is

an enzyme that links DNA molecules.

a single organism composed of cells from different zygotes.

a virus that infects bacteria

a fungi.

35. The technique in which charged molecules are separated based on varying rates of migration through a solid matrix when subjected to an electric field is known as

photo-reactivation.

gel electrophoresis.

autoradiography.

electroplating.

36. Using the fermentation process, which of the following can be produced from carbohydrate?

Glucoses.

Amino acids.

Proteins.

Alcohols.

37. Glucose galactose produces

Cellulose.

Lactose.

Sucrose.

Fructose.

38. According to the Lewis definition, which one is correct?

BF3(acid)

F BF3 (base)

BF3 (acid)

BF3 (acid)

39. Which one of the structures below corresponds to that for an unsaturated compound?

CH3CHCHCH3

CH3CH3

CH3CH2CH3

CH4

40. The compound that yields ions as the only positive ions in an aqueous solution is

KOH.

CH30H.

NaOH.

ClhCOOH.

41. Which of the following processes can be classified as "Top-down" processes for the fabrication of nano-devices?

Physical vapor deposition.

Chemical vapor deposition.

Lithography and etching.

Sol-gel. 10

42. In graphene, the type of hybridization of orbitals responsible for bonding in the x-y plane is

sp^2

Sp^3.

sp.

Both Sp^2 and Sp^3.

43. The "Piranha solution" used in the cleaning of semiconductor wafers involves a mixture of

HF and H202

HCl and H202

H2S04 and H202

RN03 and H202

44. The combination of which of the following contributes to the thermal conductivity of a solid?

Protons and electrons.

Electrons and phonons.

Neutrons and electrons.

Plasmons and phonons.

45. If the band gap of a solid is 10 eV, it is most likely to be a

Insulator.

Semiconductor.

Metal.

Semi metal.

46. Acceptor levels are present in which type of the following semiconductors

n-type.

p-type.

Both n and p-type.

Intrinsic

47. A modern electronic appliance in which a MEMS device is not found is

Mobile phone.

Digital light processing display.

Air conditioner.

Electrochromic window.

48. The optical band gap of a semiconductor material can be estimated by a measurement of

absorption coefficient.

photoconductivity.

scattering coefficient.

electronic conductivity.

49. An element that can be used as a dopant to produce p-type silicon is

Phosphorous.

Aluminum.

Carbon.

Hydrogen.

50. The D-band peak in the Raman spectrum of graphene is generally attributed to the presence of

Low electron density.

Sp2 hybridization.

Disorder.

Zero band gap.

51. The material which is currently being considered for room temperature thermoelectric applications is

Bismuth Telluride.

Alumina

Silicon carbide.

Silicon nitride.

52. The wavelength of radiation which can be used to determine crystal structure is of the order of

1000 microns.

0.0001 microns.

10 microns.

0.01 microns.

53. The in-situ growth of carbon nanotubes is not possible by which of the following processes?

Chemical vapor deposition.

Arc discharge.

Spin coating.

Sputtering.

54. A physical method by which n-type doping of a semiconductor material can be carried out is

Annealing with NH3 gas.

Chemical reaction with NH3.

Environmental N2 at room temperature.

Etching with nitrogen containing gas.

55. If the depth of a surface crack, causing fracture in a brittle material, is increased by a factor of then the fracture strength

decreases by a factor of sqrt(2)

decreases by a factor of 2.

increases by a factor of sqrt(2)

does not change.

56. The fraction of pearlite in a 0.55% C steel is

0.55

0.31

0.69

0.02

57. A dislocation in a metal represents

A weakness of the metal.

Point defect in the metal.

Volume defect in the metal.

Line defect in the metal.

58. In the tensile test of steel, necking starts at a point corresponding to the

lower yield stress.

upper yield stress.

ultimate tensile stress.

onset of fracture.

59. If the lattice parameter of a Bee crystal is then its atomic diameter will be

a

a/2





60. Martensitic transformations in steels

are diffusion controlled

are shear processes.

yield products of different compositions.

yield a hard product in carbon steels.

61. The constituent of steel that is softest and has the lowest strength is

austenite.

pearlite.

ferrite.

cementite.

62. The reaction that yields two solid phases on cooling a single solid phase is

eutectoid

peritectoid

eutectic

congruent .

63. Slow plastic deformation of metal under a constant stress at relatively high temperature is known as

creep.

fatigue.

endurance.

non plastic deformation.

64. The angle between and planes in a cubic crystal is close to

45°

30°

55°

90°

65. The most desirable method of increasing the yield strength of mild steel is

Grain refinement.

Cold working.

Solute addition.

Precipitation hardening.

66. A tensile load of 50 N is applied on a fibre-reinforced composite of cross-section area 1mm^2. The stress on the parallel fibers when the load axis is perpendicular to the arrangement of fibres, is

100 N/mm^2

121 N/mm^2

242 N/mm^2

50 N/mm^2

67. If is the volume of any arbitrary shaped solid object, then its linear dimension, L will scale as





V^3



68. An electric field sigma is applied on a metal having electrical conductivity The total energy dissipated per unit volume of the metal is

sigma E2

sigma E

sigma^2 E

sigma^2 E^2

69. According to Gibbs Phase rule, if number of phases, C number of components of chemically independent constituents, then the number of degrees of freedom, F is given by









70. If each lattice point of a simple cubic lattice is occupied by a single atom of radius then the areal density of the plane is proportional to

1/r





r^2

71. If the minimum kinetic energy of photo electrons emitted from a metal surface is 2 eV, then the stopping potential is

1 V

2 V

3 V

4 V

72. Which of the following is not correct about the properties of non-deionized water?

It has a high molar concentration, so it provides an inexhaustible supply ofH+ ions.

It has a large dielectric constant that allows ionic substances to dissolve producing charged species.

It has a low dielectric constant.

It has a very small dissociation constant.

73. The resolving power of an optical microscope can be increased by

Decreasing the numerical aperture.

Increasing the wave length of the source.

Increasing the distance between the objective lens and specimen.

Increasing the refractive index of the medium separating the object and aperture.

74. The mean kinetic energy of conduction electrons in metals at room temperature, T is Boltzmann constant)

E kT

E « kT

E kT

E kT

75. The Maxwell equation that defines Ampere's Law is is the magnetic field, D is the displacement current and J is the current density)

src='./qimages/8050-75.jpg'>