Ai Aieee Modeltest 01

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AIEEEMODELTEST

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TMPAGE

180 QUESTIONSTIME ALLOWED : 180 MINUTES

STUDENT’S NAME :

Read the instructions on theFill in your and

ANSWER SHEET. NAME, TEST CODE

AIEEE Application form Number.

Use the information provided to choose the answer from the four possible options.On your fill in the ovalthat matches your answer.Mark only answer for each question.

BEST

ANSWER SHEET

ONE

Q. 1 to 8, 61 to 68 carries1 marks each,Q. 9 to 52, 69 to 112 carries 3 marks each andQ. 53 to 60,113 to 120 carries 4 marks each.For each incorrect response,one-third of the total marksalloted to the question would be deducted from the total score.

& 121 to 130& 131 to 170

& 171 to 180

You are allowed to use a calculatorNOT

12

12

TEST CODE - FEN


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Questions - 180 PHYSICS Time - 180 Min

1. Dimensional formula for entropy is identical to that ofa) Universal Gas constant b) Specific Heatc) Boltzmann constant d) Gravitational potential

2. A cylindrical bar magnet is kept along the axis of a circular coil. The magnet is rotated about its axissuch that north pole faces the coil. The induced current in the coila) is zero b) is clock - wise from magnet sidec) may be clock-wise or anticlockwise d) is anticlockwise from magnet side

3. A block of mass m is gently placed on a vertical spring of stiffness k. Identify the in-correct statement?a) The kinetic energy of the block remains constantb) The gravitation potential energy of the system decreasesc) The spring potnetial energy of the system increases.d) The rate of decreases in gravitational potential energy is equal to the increase in spring potential

energy

4. A nicol prism is based on the action ofa) refraction b) double refractionc) dichroism d) both (B) and (c)

5. The fig shows a man of mass m standing at the end A of a trolley of mass M placed at rest on a smoothhorizontal surface. The man starts moving towards the end B with a velocity relu with respect to thetrolley. The length of the trolley is L.

AM B

LChoose the correct statementa) As the man starts moving the trolley must move backwardb) The distance moved by the trolley is independent of the speed of the manc) The distance moved by the trolley can never exceed Ld) All the above

6. A rectangular door is supported only by two hinges along the vertical edge. Which of the followingstatement regrading the forces exerted by the two hinger on the door is incorrect ?a) Both forces cannot be verticalb) Both forces cannot be horizontalc) One of the forces must be directed towards its hinge and the other must be directed away from

its hinged) The lines of action of the two forces cannot intersect


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7. The thermal conductivity of copper decreases significantly as the temperature is increased. This isbecause, at higher temperatures.a) Ionic, at higher temperaturesb) Lattice vibrations travel more atoms decreasec) fewer conduction electrons are preasentd) The rate of collision between conduction electrons and copper atoms increases.

8. Which of the following are not electromagnetic waves ?a) cosmic rays b) gammarays c) raysβ − d) X - rays

9. Choose the correct statement by comparing the charging of the capacitors as shown in figure with thesituation when there is no resistor.

R

E

C

a) It gets charged to the same magnitudeb) Current through the battery never becomes zeroc) Extra energy is dissipated in the resistord) All the above.

10. In a P-N junction diodea) Current in the reverse bias condition is generally small.b) Forward bias current is small as compared to revec) Forward current is independent of the bias voltaged) Reverse bias current is independent of the bias voltage

11. A car starts from rest to cover a distance s. The coefficient of friction between the road and tyres isµ. The minimum time in which the car can cover the distance is proportional to

a) µ b) µ c) µ1

d) µ1

12. A projectile of mass m is fired with velocity v pass a point A making an angle 45° with the horizontal.Neglecting air resistance, the magnitude of change in momentum between the starting point A and thearriving point B is

a) mv2 b) 2 mv

c) (1/2) mv d) 1/2(mv)


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13. Find the resultant resistance in this circuit across ‘AB’

Ω10 Ω10

Ω10 Ω10

A B

a) Ω10 b) Ω20 c) Ω30 d) Ω40

14. A particle of mass m is fixed to one end of a light spring of force constant K and unstretched length 1.The system is rotated about the other end of the spring with an angular velocity ω, in gravity freespace. The increase in length of the spring will be

ω

k m

a)K

lmω2b) 2

2

ωm-Klωm

c) 2

2

ωmKlωm

+ d) none of these

15. If the displacement of a particle varies with time as ,3x += t the velocity of the particle is proportionalto

a) t b) t

c) 2t d) 1/t

16. A point mass M is located at x = 0. Which one of the following graphs represents the variation ofgravitation intensity ((A) with distance (x) from the mass

a)

O

I

b)

O

I

c)

O

I

d)

O

I

17. The greatest thickness of a plano convex glass lens appear to be 2 cm when observed normallythrough the plane surface and when observed through the curved face, the greatest thickness is 20/9cm. If the real thickness be 3 cm, the what is the refractive index of the lens ?a) 20/9 b) 2.0 c) 1.5 d) 1.3


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18. A sphere of radius r is placed on a concave surface of radius of curvature 5r, which itself is placed ona horizontal table. See fig. When the sphere is displaced from the equilibrium position it describesSHM of period ?

a)21

grπ2

b)

21

grπ4

c)

21

g5rπ2

d)

21

g6rπ2

19. The insulation property of air breaks down at 6103E ×= volts/metre. The maximum charge that canbe given to a sphere of diameter 5 m is approximately

a) 2102 −× coulomb b) 3102 −× coulomb c) 4102 −× coulomb d) 5102 −× coulomb

20. When a certain metallic surface is illuminated with monochromatic light of wave length λ, the stoppingpotential for photo-electric current is 3 .V0 When the same surface is illuminated with light of wave

length λ,2 the stopping potential is 0V . The threshold wavelength for this surface is

a) λ8 b) λ6 c) λ4 d) λ2

21. Two identical P-N junction may be connected in series with a battery in three ways as shown in theadjoining figure. The potentiak drop across the p - n junction are equal in Circuit - 1

NP N P1-Circuit

NP NP

2-Circuit

N P

3-Circuit

N P

a) circuit 1 and circuit 2 b) circuit 2 and circuit 3

c) circuit 3 and circuit 1 d) no two circuits have equal current

22. N moles of an ideal diatomic gas are in a cylinder at temperature T. Suppose on supplying heat to thegas, its temperature remain constant but n moles get dissociated into atoms. Heat supplied to the gasis :

a) zero b) nRT21

c) nRT23

d) RTnN )(23 −

23. An electron is projected at an angle θ with a uniform magnetic field. If the pitch of the helical path isequal to the its radius, then the angle of projection is

a) πtan-1 b) 2πtan-1 c) πcot-1 d) π2cot-1


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24. If three bulbs of 40 w, 60 W and 100 w are connected in series with a 200 V power supply, then 1) the potential difference will be maximum across the 40 W bulb 2) the current will be maximum through the 100 W bulb 3) the 40 W bulb has the maximum resistancea) 1, 3 b) 2, 3 c) 3, 4 d) 1, 3

25. A particle having a mass of 0.5 g carries a charge of C.102.5 8−× The particle is given an intialhorizontal velocity of .ms106 14 −× To keep the particle moving in a horizontal direction

1) the magnetic field should be perpendicular to the direction of the velocity 2) the magnetic field should be along the direction of the velocity 3) magnetic field should have a minimum value of 3.27 T 4) no magnetic field is required

26. Study the diagram. As soon as the switch S is closed, the current through the cell is .I1 After long time,the current through the cell is found to be ,I2 then

LL

LL

R

0E

S

a)R

EI

RE

I2

02,0

1 == b)R

EII 02,01 ==

c) 02,01 == I

RE

I d) none of these

27. A particle with a specific charge S is fired with a speed v towards a wall at a distance d perpen dicularto the wall . What minimum magnetic field must exist in this region for patticle not to hit the wall

a) Sdv

b) Sdv2

c) Sdv

2 d) Sdv

4

28. The number of particle crossing a unit area in a unit time is given by )x(x)n(nDn

12

12−−−= where 1n and 2n

are number of particles per unit volume for the value of x meant to 1x and 2x . Find dimensions of D,the diffusion constant

a) ]LT[M 20 b) ]T[ML 42 c) ]LT[M -30 d) ]TL[M -120

29. An earth satellite of mass m revolves in a circular orbit at a height h from the surface of the earth. Risthe radius of the earth and g is acceleration due to gravity at the surface of the earth. The velocityof the satellite in the orbit is given by

a) h)/(RRg 2 + b) g R c) h)R/(Rg − d) [ ]h)/(RgR 2 +


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30. A block of mass M slides along the sides of a flat bottomed bowl. The sides of the bowl are frictionlessand the base has a coefficient of friction 0.2. If the block is released from the top of the side which is1.5 m high, where will the block come to rest, given, the length of the base is 15 m :a) 1 m from P b) Mid point of flat part PQc) 2m from P d) at Q

31. A rod of mass M and length l is suspended freely from its end and it can oscillate in the vertical planeabout the point of suspension. It is pulled to one side and then released. It passes through theequilibrium position with angular speed ω . What is the kinetic energy while passing through the menaposition ?

a) 22ωM l b) 4/ωM 22l c) 6/ωM 22l d) 12/ωM 22l

32. Two particle are executing S.H.M. of same amplitude and frequency along the same straight line path.They pass each other when going in opposite directions, each time their displacement is half of theiramplitude. What is the phase difference between them ?

a) π/65 b) π/32 c) π/3 d) π/6

33. In Young’s double slit expt., the sources S and two slits. A and B are lying in a horizontal plane.The slit A is above slit B. the friges are obtained on a vertical screen K. The optical path from Sto B is increased by putting a transparent material of higher refractive index. The path from S to Aremains unchanged. As a result of this the fringe pattern moves some whata) upwards b) downwardsc) towards left horizontally d) towards right horizontally

34. A car, starting from rest, accelerates at a constant rate x for sometime after which it decelrates at aconstant rate y to come to rest. If the total time elapsed is t, the maximum velocity attained by the caris given by:

a) tyx

xy+ b) t

yxxy− c) t

yxyx

22

22

+ d) tyx

yx22

22

−

35. A student determined to test the law of gravity for himself walks off a scraper 320 m high with a stopwatch in hand and starts his free fall (zero initial velocity), 5seconds later, Super man arrives at thesecne and dives off the roof to save the student. What must be the Superman’s initial velocity inoroder that he catches the student just before the ground is reached :)10m/s(g 2=

a) 67.23 m/s b) 91.66 m/s c) 102.91 m/s d) None

36. An ideal gas is condensed adiabatically to 8/27 times of its present volume at 27oC. The increase intemperature of the gas is : ( γ = 5/3)a) 475oC b) 402oC c) 275oC d) 175oC

37. A car battery of e.m.f. 12 V and internal resistance 5 x 10-2 Ω , receives a current of 60 amp fromexternal source, then terminal path of difference of battery is :a) 12 V b) 9 V c) 15 V d) 20 V

38. A step-up transformer operates on a 230V line and supplies a load current of 2A. The ratio of primaryand secondary windings is 1 : 25. The turns in current in the primary is :a) 15 A b) 50 A c) 75 A d) 125 A


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39. A polyatomic gas

=

34γ is compressed to 1/8th of its volume adiabatically. If its initial pressure is P0,

its new pressure will be :a) 8P0 b) 16p0

c) 6P0 d) 2P0

40. Two parallel-plate capacitors with different capacitance but the same plate separation are connectedin series to a battery. Both capacitors are filled with air. The quantity that is the same for bothcapacitors when they are fully charged is :a) potential differenceb) stored energyc) energy densityd) charge on the positive plate

41. A man beats drum at a certain distance from the mountain. He slowly increases the rate of beatingand finds that the echo is not heard distinctly, when the drum beating is at the rate of 40 per minute. Hemoves by 80 m towards the mountain and finds that the echo is again not heard distinctly when the rateof beating of the drum is 1 per second. What is the original distance of the man from the mountain ?a) 120 m b) 240 m c) 270 m d) 340 m

42. A swimmer can swim in still water with speed v and the river flowing with velocity v/2. To cross theriver in shortest distance, he should swim making angle θ with the upstream. What is the ratio of thetime taken to swim across in the shortest time to that in swimming across over shortest distance ?

a) θcos b) θsin c) θtan d) θcot

43. A copper ring is held horizontally and a bar magnet is dropped through the ring along axial line. Theacceleration of magnet while is is passing through the ring isa) Equal to that due to gravityb) Less than that due to gravityc) More than that due to gravityd) Depends on the size of the ring and magnet.

44. Two racing cars of masses 1m and 2m are moving in circles of radii 1r and 2r respectively. Thierspeeds are such that each makes a complete circle in the same length of time t. The ratio of the angulrspeed of the first car to second car is

a) 21 m:m b) 21 r:r

c) 1 : 1 d) 2211 rm:rm


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45. A spring balance, A reads 2 kg with a block m suspended from it. A balance B reads 5 kg when abeaker filled with liquid is put on the pan of the balance. The two balances are not so arranged that thehanging mass is inside the liquid as shown in figure. In the situation

A

B

a) the balance A will read more than 2kgb) the balance B will read more than 5 kgc) the balance A will read less than 2 kg and B will read more than 5 kgd) the balnce A and B will read less than 2 kg and B will read more than 5 kg

46. Two particles are executing SHMs of same amplitude and frequency along the same straight line. Theycrosos each other moving in opposite directions when their displacement is half of the amplitude. Whatis the phase difference between them ?

a) π/6 b) π/3 c) π/4 d) /32π

47. The linear density of a vibrating string is .kgm10 1-4 − A transverse wave is propagating on the string.Which is described by the equation y = 0.02 sin (x + 30 t)where x and y are in meters and time t is inseconds. The tension in the string isa) 0.09 newton b) 0.36 newtonc) 0.9 newton d) 3.6 newton

48. Two weights 21 &WW are attached to the end of string which passes over a frictionless pulley. If the

pulley is placed in a rocket accelerating upwards at 9.8 ,m/s2 what will be the tension in the string ?Take 2m/s8.9=g .

a) )(2/ 2121 WWWW + b) )/(2 2121 WWWW +

c) )/( 2121 WWWW + d) )/(4 2121 WWWW +

49. In the arrangement, shown in figure pulleys are massless and frictionless and threads areinextensible. Block of mass 1m will remain at rest, if :

a) 321 m

1m1

m1 +=

b) 321 m

1m1

m4 +=

c) 321 mmm +=

d) 123

321mmm

+=


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50. An electron accelerated through a potential difference of V volts has a wavelength λ associated withit. Mass of proton is nearly 2000 times that of an electron. In order to havhe the same λ for proton,it must be accelerated through a potential difference of

a) V volt b) 2000 V volts c) V/2000 volt d) 2000 V volt.

51. Half life of radioactive element is 12.5 hour and its quantity is 256 gm. After how much time itsquantity will remain 1 gm :a) 50 hrs b) 100 hrsc) 150 hrs d) 200 hrs

52. The current in the circuit will be :

a) A405 b) A

505 c) A

105 d) A

205

53. A horizontal plank has a rectangular block placed on it. The plank starts oscillating vertically andsimple harmonically with an amplitude of 40 cm. The block just loses contact with the plank when thelatter is monetary at rest. Then

a) the period of oscillation is sec5π/2

b) the block weighs double its weight when the plank is at one of the positions of momentary atrest.

c) the block weight 1.5 times its weight on the plank half way down.d) the block weighs its true weight on the plank, when the latter moves fastest.


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54. Two indentical glass bulbs are interconnected by a thin glass tube. A gas is filled in these bulbs atN.T.P. If one bulb is placed in ice and another bulb is placed in hot bath, then the pressure of the gasbecomes x times. The temperature of the hot bath will be ___

Ke Hot Water

a) Tx2x-2

+b)

x2xT−

c) Tx

x-2d) T

x-2x2 +

55. A block is resting on a piston which is moving vertically with S.H.M. of period 1.0 s. At what amplitudeof motion will the block and piston sepaprate ?a) 0.2 m b) 0.25 mc) 0.3 m d) 0.35m

56. The magnitude of the sum of the two vectors is equal to the difference of their magnitudes. What isthe angle between the vectors ?a) 0° b) 45° c) 90° d) 180°

57. If in a photoelectric cell, the wavelength of incident light is changed from 4000Å to 3000Å then changein stopping potential will bea) 0.66 V b) 1.03 Vc) 0.33 V d) 0.49 V

58. A current carrying coil is bent sharply so as to convert it into a double loop both carrying a current inthe same direction. If B is the initial magnetic field at the centre, then the final concentric magneticfield will bea) zero b) 2 B c) 4 B d) 8 B

59. An oil drop with charge q is held stationary between two plates with an external potential difference of400 V. If the size of the drop is doubled without any charge of charge, the potential difference requiredto keep the drop stationary will bea) 400 V b) 1600 V c) 3200 V d) 4000 V


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60. A thermodynamic process is shown in figure such that Pa108PPa,103P 4B

4A ×=×=

.m105V,m102V 33D

33A

−− ×=×= In process AB, 600 J of heat is added to the system and in processBC, 200 J of heat is added to the system. The change in internal energy of the system in process ACis

y

P

O VX

A

B C

D

a) 560 J b) 800 J c) 600 J d) 640 J

CHEMISTRY

61. If two compounds have the same empirical formula but different molecular formulae, they must havea) different percentage composition b) different molecular weightsc) same viscosity d) same vapour density

62. Two containers P and Q of equal volume ( 1 litre each) contain 6g of 2O and 2SO respectively at300 K and 1 atmosphere. Thena) Number of molecules in P is less than that in Qb) Number of molecules in P and Q are samec) Number of molecules in Q is less than that in Pd) Either (a) or (b)

63. If the nitrogen atom had electronic configuration 71s it would have energy lower than that of the

normal ground state configuration 322 2p2s1s because the electrons would be closer to the nucleus.

Yet 71s is not observed. It violates

a) Heisenberg’s uncertainty principle b) Hund’s rulec) Pauli exclusion principle d) Bohr postulate of stationary orbits

64. At low concentration, the statement that equimolal solutions under a given set of experimental conditionshave equal osmotic pressure is true fora) All solutions b) Solutins of non-electrolytes onlyc) Solutions of electrolytes only d) None of these

65. Compounds with high heat of formation are less stable becausea) it is difficult to synthesize themb) energy rich state leads to instabilityc) high temperature is required to syntheside themd) molecules of such compounds are distorbed


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66. A buffer solution changes its PHa) very rapidly b) very slowlyc) does not changes d) None of the above

67. Which of the following is a poor conducor of electricity ?

a) COONaCH3 b) OHHC 52 c) NaCl d) KOH

68. Boron compounds behaves as Lewis acids because of theira) acidic nature b) Covalent naturec) Electron deficient character Ionization property d) Ionization property

69. Which of the following is an efficient catalytic converter ?

a) A reagent which oxidizes CO and unburnt hydrocarbons to 2CO and OH2 and reduces NO and

2NO to 2N and 2O

b) A reagent which oxidizes CO and NO to 2CO and 2N respectively

c) A reagent which oxidizes CO and unburnt PbO to 2CO and ,PbO2 and reduces 2SO to SH2 .

d) A reagent which reduces unburnt hydrocarbons to CO, 2CO and OH2 and oxidizes 2N to NOand 2NO .

70. The ionization energies of chlorine and hydrogen are 1256 and 1311 kJ/mole respectively. Hydrogenforms H+ (aqueous) ion, but chlorine does not form Cl+ (aqueous) ion, because :a) the enthalpy of hydration of Cl+ is lowb) the enthalpy of hydration of H+ is lowc) the electron affinity of Cl is highd) the electronegativity of Cl is high.

71. The geometry of SH2 and its dipole moment are

a) angular and non-zero b) angular and zeroc) linear and non zero d) linear and zero

72. The nuclear spins of hydgrogn, deuterium and helium - 4 are, respectively,a) 1/2, 0,2 b) 1,1/2. 1/2 c) 1/2, 1. 0 d) 1/2,1,2

73. The oxidation number of S is 642 OSNa is

a) 2.5b) +2 and +3 (two s have +2 and other 2 have +3)c) +2 nd +3 (three S have +2 one S has +30d) +5 and 0 (two S havhe +5 and the other two have S = 0)

74. Identify the correct statement ?a) Gypsum contains a lower percentage of calcium than plaster of pairsb) Gyspum is obtained by heating plaster of pairsc) Plaster of pairs can be obtained by hydration of gypsumd) Plaster of Paris is obtained by partial oxidation of gypsum


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75. A metal which is not affected by conc. 342 HNO,SOH or alkalies forms a compound X. This compoundX can be used to give a complex which finds its application for toning in photography. the metal isa) Au b) Ag c) Hg d) Cu

76. If a reaction A + B → C is exothermic to the extent of 30 kJ/mol and the forward reaction has anactivation energy of 70 kJ/mol, the activation energy for the reverse reaction isa) 30 kJ/mol b) 40 kJ/mol c) 70 kJ/mol d) 100 kJ/mol

77. In solid ]2K[Cu(CN)

a) two -CN groups are bond through C, and the third (bridging) -CN group through C and N

b) three -CN groups are bond through C, and the bridging -CN group through C and N

c) one -CN group is bond through C, and the other through C and N

d) one -CN group is bond through C, and two other -CN group through C and N

78. In ,3]3)4O2(C[Cr − the isomerism shown is

a) Ligand b) Optical c) Geometrical d) Ionization

79. X is converted into N147 by emitting two β -particles. Then the number of neutrons in X will be :

a) 9 b) 7 c) 5 d) 3

80. If 0.2 gram of an organic compound containing carbon, hydrogen and oxygen on combustion, yeilded0.147 gram carbon dioxide and 0.12 gram water. What will be the content of oxygen in the substance?a) 73.29% b) 78.45%c) 83.23% d) 89.50%

81. Intramolecular hydrogen bonding is present ina) Nickel dimethyl glyoximateb) anti-pyridine-2-carboxaldoximec) Maleic acid monoaniond) All the three

82. Cyclopentadiene is unusually acidic for a hydrocarbon. This is becausea) the carbon atoms of cyclopentadiene are sp-hybridizedb) cyclo pentadiene is aromaticc) the removal of a proton from it yields n aromatic aniond) cyclopentadiene yields a highly stable free radical


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83. Which chloro derivative of benzene among the following would undergo hydrolysis most redily withaqueous sodium hydroxide to furnish the corresponding hydroxy derivative ?

a)

2NO

NO2

2NO

Cl b) NO2 Cl

c) ClNMe2 d) Cl5H6C

84. The following reaction

OH

2ZnCl

AnhydHClHCN →++

OH

CHOis know as

a) Perkin reaction b) Gattermann aldehyde synthesisc) Kolbe’s reaction d) Gattermann-Koch reaction

85. The rate of the conversion CNCHHCClCHHC 256KCN

256 → can be increased by carrying out thereactoin.a) in an aqueoussolution by vigrous stirring.b) in the presence of an acid catalystc) bystrringinan aquous medium in the presence of a small amount oftetrabutyl ammonium chlorided) by none of these methods.

86. Monomer of natural rubber is :

a)

3

33

CH|

CHCHCCH −−=−− b) CH3 -- CH = CH -- CH3

c)

3

22

CH|

CHCHCCH =−−= d)

33

22

CHCH||

CHCCCH =−−−−=

87. Which of the following solutions can be titrated with HCl as well as NaOH?a) Glycine b) pyruvic acid c) Triethylamine d) Aniline

88. The IUPAC name of the compound having the molecular formula CHOCHCCl 23 − isa) 3, 3, 3- trichloropropanal b) 1, 1, 1-trichloropropanalc) 2, 2, 2- trichloropropanal d) Chloral


16



89. In the final answer of the expression 37.1

)1079.1()2.202.29( 5×− the number of significant figures is

a) 1 b) 3c) 2 d) 4

90. 400 ml gas at 500 torr and 666.6 ml gas at 600 torr are taken in a container of 3 litre, then the totalpressure of the mixture is :a) 200 torr b) 400 torr c) 600 torr d) 50 torr

91. The line with maximum wavelength in the balmer series of spectrum is :a) 566 nm b) 656 nm c) 546 nm d) 565 nm

92. Correct order of 1st ionisation potential among the following elements Be, B, C, N, O is :a) B < Be < C < N < O b) B < Be < C < O < Nc) Be < B < C < N < O d) Be < B < C < O < N

93. Molarity of liquid HCl if density of solution is 1.17 gm/cc :a) 36.5 b) 18.25c) 32.05 d) 42.10

94. In the following exothermic reaction step I and step II are in favour of : )g(D)g(C3)g(B)g(A 22 ºº+ step I setp II

a) high pressure, low temperature and low pressure, high temperatureb) high pressure, high temperature and low pressure, low temperaturec) low pressure, low temperature and high pressure, low temperatured) low pressure, high temperature and high pressure, high temperature

95. The beans are cooked earlier in pressure cooker, becausea) boiling point increases with increasing pressureb) boiling point decreases with increasing pressurec) extra pressure of pressure cooker softens the beansd) internal energy is not lost while cooking in pressure cooker

96. An element (X) forms compounds of the formula 523 OX,XCl and 2CaX but does not form 5XCl .Which of the following is the element X ?a) B b) Al c) N d) P

97.

NC ≡

3OCHPQMgBrCH OH

33 →→+

+ The product ‘P’ in the above reaction is

a)

CHOH

3CH

b)

3CH-CO

3OCHc)

3OCH

CHO

d)

3OCH

COOH


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98. The reaction 2222 ClSOClSO →+ is exothermic and reversible. A mixture of

(g)Cl(g),SO 22 and (l)ClSO 22 is at equilibrium in a closed container. Now a certain quantity of extra

2SO is introduced into the container, the volume remaining the same. Which of thefollowing is/are true ?a) The pressure inside the container, will not changeb) The temperature will not changec) The temperature will increased) The temperature will decrease

99. The Rubin number which was proposed by Ostwald as an alternative to the Gold number in order tomeasure the protective efficientcy of a lyophillic colloid may be defined as thea) Mass in milligrams of a colloid per 100 c.c of solution which just prevents the colour change of

standard sol of dye Congo - Rubin from red to violet when 0.16 g eq. KCl is added to itb) Mass in grams of a colloid per 100 c.c. of solution which just prevents the colour change of

standard sol of dye Congo - Rubin from red to violet when 0.1 M KCl is added to itc) Mass in grams of a colloid per 100 c.c of solution which just prevents the colour change of stan-

dard sol of dye Congo - Rubin from red to violet when 0.2 M KCl is added to it.d) Mass in grams of colloid per 100 c.c of solution which just prevents the colour change of standard

sol of solid Congo - Rubin from red to violet when 1 M KCl is added to it

100. A mixture of chlorides of copper, cadminum, chromium, iron and aluminum was dissolved in wateracidifed with HCl and hydrogen sulphide gas was passed for sufficient time. It was filtered, boiled anda few drops of nitric acid were added hile boiling. To this solution ammonium chloride and sodiumhydroxide were added and filtered. The filterate shall give test fora) Sodium and ironb) Sodium and aluminiumc) Aluminium and irond) Sodium, iron, cadmium and Al

101. When pieces of human hair are heated strongly with soda - lime, smell of ammonia can be detected.Which one of the following conclusion can be drawn from this observation ?a) Ammonia is present in the human hairb) Ammonium sal is present in hairc) Hair contains amino acidsd) None of these

102. The most unlikely representation of resonance structures of p-nitrophenoxide ion is

a)

+N

−O

OO-

b)

+N

−O

O

O-

c)

+N

−O

OO-

d)

+N

−O

O

O-


18



103. Consider the following statements : A hydrocarbon of molecular formula 105HC is a

I.monosubstitutedalkeneII. disubstituted alkeneIII. trisubstituted alkeneWhich of the following statement(s) is (are) correct ?a) I, II and IIIb) I and IIc) II and IIId) I and III

104. Which one of the following is a free-radical substitution reaction ?

a) →+ 3Anh.AlCl3CiCH

3CHb)

ClCH2→+ 2AgNO

22NOCH

c) CH(OH)CNCHHCNCHOCH 33 →+ d) 3CH

2Cl+ →Boiling ClCH2

105. Which of the following is the most suitable method for removing the traces of water from ethanol ?a) Heating with Na metalb) Passing dry HCl gas through itc) Distilling itd) Reaction with Mg

106. If one strand of DNA has the sequence ATGCTTGA , the sequence in the complimentary strandwould bea) TACGAACT b) TCCGAACT

c) TACGTACT d) TACGTAGE

107. Which of the following compounds exhibits linkage isomerism ?

a) 32 Cl])[Co(en b) ])(Cr][)[Co(NH 363 en c) Cl]BrNO[Co(en) 22 d) 253 Cl]Br)[Co(NH

108. Standard electrode potential data are useful for understanding the suitability of an oxidatnt in aredoxtitration. Some half-cell reactins and their standard potentials are given below :

1.51VE,O4H(aq)Mn5e8HMnO 0(I)2

2(aq)4(aq) =+→++ +−+−

1.38VEO(I),7H(aq)2Cr6e(aq)14H(aq)OCr 02

3272 =+→++ +−+−

0.77VE(aq),Fee(aq)Fe 023 =→+ +−+ V1.40E(aq),2Cl2e(g)Cl 02 =→+ −−

Identify the only incorrect statement regarding the quantitative estimation of aqueous 23)Fe(NO

a) -4MnO can be used in aqueous HCl b) −2

72OCr can be used in aqueous HCl

c) −4MnO can be used in aqueous 42SOH d) −2

72OCr can be used in aqueous 42SOH


19



109. Consider the reaction equilibrium (g)O(g)2SO 22 + kJ.198∆H(g);2SO 03 −= On the basis of Le

Chatelier’s principle, the condition favourable for the forward reaction isa) lower of temperature as well as pressureb) increasing temperature well as pressurec) lowering the temperature and increasing the pressured) any value of temperature and pressure

110. An aqueous solution of 6.3 g oxoalic acid dithydrate is made up to 250 mL. The volume of 0.1 NNaOH required to completely neutralize 10 mL of this solution is :a) 40 mL b) 20 mL c) 10 mL d) 4 mL

111. Which of the following ions has the maximum magnetic moment ?

a) +2Mn b) +2Fe c) +2Ti d) +2Cr

112. The correct order of increasing ionic character is

a) 2222 BaClCaClMgClBeCl <<< b) 2222 CaClBaClMgClBeCl <<<

c) 2222 CaClMgClBaClBeCl <<< d) 2222 BeClMgClCaClBaCl <<<

113. If αe ,E E and pE represents the kinetic energies of an electron alpha particle and a proton repectively,each moving with same de Broglie wavelength then ;

a) pe EEE == α b) pe EEE >> α

c) eEEE >> pα d) αpe EEE >>

114. The number of atoms present in a unit cell of a face centered cubic crystal is :a) 4 b) 6 c) 3 d) 8

115. The heats of solution of anhydrous CuSO4 and hydrated CuSO4. 5H2O are - 66.5 and 11.7 kJ/molerespectively. Calculate the heat of hydration of CuSO4 to CuSO4.5H2Oa) 54.8 kJ b) - 54.8 kJc) - 78.2 kJ d) none of these

116. Boron has two isotopes B105 and B11

5 . If the atomic weight of boron is 10.81, then the ratio of B105 and

B115 in nature is :

a) 19/81 b) 20/53 c) 15/16 d) 10/11


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117. Order of acidic strength of the following compound will be :

(I) (II) (III) (IV)

a) III > IV > II > I b) IV > III > II > Ic) I > III > II > IV d) II > I > III > IV

118. The dipole moment of compound AB is 10.92 D and that of compound CD is 12.45D. The bond lengthof AB is 2.72 Å and that of CD is 2.56Å, then for these compound true statement is :a) more ionic nature in AB b) equal in bothc) more ionic nature in CD d) not predicted

119. Solubility of a M2S salt is 3.5 x 10-6, then find out its solubility product ?a) 1.7 x 10 - 6 b) 1.7 x 10 - 16

c) 1.7 x 10 - 18 d) 1.7 x 10 - 12

120. MgO and NaCl has similar structure, In MgO, magnesium is surrounded by how many oxygen atoms:a) 2 b) 4 c) 6 d) 1

MATHS121. Let z and w be two complex number such that | z | = 1, | w | = 1 and | z - i w | = 2 then z equals :

a) 1 or i b) i or -ic) 1 or -1 d) i or -1

122. If p and q are the roots of x2 + px + q = 0, then :a) p = 1 b) p = 1 or 0 c) p = -2 d) p = -2 or 0

123. If the numerical coefficient of the pth term in the expansion of (2x + 3)6 is 4860, then the value(s) of pis (are) :a) 2 b) 3 c) 4 d) 5

124. The differential equation (x + y) dx + x dy = 0 is :a) homogeneous but not linearb) linear but not homogeneousc) both homogeneous and lineard) neither homogeneous nor linear


21



125. In a triangle ABC, 2ac sin 21

(A - B + C) =

a) a2 + b2 - c2 b) c2 + a2 - b2

c) b2 - c2 - a2 d) c2 - a2 - b2

126. The mean of 100 observations is 40. If one of observation 50 is replaced by 60. The resulting meanwill be :b) 50 b) 30 c) 60 d) 40.10

127. If candb,a are unit coplanar vectors, then the scalar triple product =−−− ]ac2,cb2,ba2[

a) 0 b) 1 c) 3− d) 3

128. Let )xφ( be the inverse of the function f(x) and 511)('x

xf+

= then )φ(xdxd

is

a) 5))φ(+ x(11

b) 5))(+ x(11f c) 5x))(1 φ(+ d) 5))((1 xf+

129. The equation of sphere concentric with the sphere 05222222 =−−−−++ xyxzyx and passingthrough the point (1, 1, 1) is

a) 0322222 =−−−++ yxzyx b) 3222 =−−−++ zyxzyx

c) 03222222 =+−−−++ zyxzyx d) none of the above

130. Let A = x, y, z, B = u, v, w and f: A → B be defined by f(x) = u, f(y) = v, f(z) = v. Then f is :a) surjective but not injective b) injective but not surjectivec) bijective d) none of them

131. If the system of equations x + 2y - 3z = 1, (k + 2) z = 3. (2k + 1) y + z = 2 is inconsistent, then the valueof k isa) 2 b) 0

c)21− d) -2

132. An n-digit number is a positive number with exactly n digits. Nine hundred distinct n-digit numbers areto be formed using only the three digits 2, 5 and 7. The smallest value of n for which this is possible is:a) 6 b) 7 c) 8 d) 9

133. The domain of definition of 2x3x)3x(log)x(F 2

2

+++

= is:

a) R \ -1, -2 b) (-2, ∞ )c) R \ -1, -2, -3 d) (-3, ∞ ) - -1, -2

134. The area bounded by the curves y = | x | - 1 and y = - | x | + 1 is :

a) 1 b) 2 c) 22 d) 4


22



135. The equation of the plane passing through the point (-2, -2, 2) and containing the line joining the points(1, 1, 1) and (1, -1, 2) is :a) x + 2y - 3z + 4 = 0 b) 3x - 4x + 1 = 0c) 5x + 2y - 3z - 17 = 0 d) x - 3y-6z+ 8=0

136. The graph of the equation y2 + z2 = 0 in three dimensional space is :a) x - axis b) y - axis c) z - axis d) yz - plane

137. A man wishes to cross a river to an exactly opposite point on the other bank, if he can swim with twicethe velocity of the current, then the inclination to the current of the direction in which he should swimis :a) 90o b) 120o

c) 150o d) none of them

138. kxadxxx a

+=∫ )log(log.loglog

1 is true for

a) all Rx ∈ b) ex > c) 1>x d) no real x

139. The values of a for which both the roots of the equation 0)12(2 =+−− axax are positive is

a)

∞− ,

232

b)

+−2

32,2

32c)

∞+ ,

232

d) none of these

140. ABC is triangular park with AB = AC = 100 m. A Clock tower is situated at the mid point of BC. Theangle of elevation of the top of the tower at A and B are α and β respectively. The height of the tower is

a) βtanαtan100 22 + b) βtanαtan

10022 +

c) βcotαcot100 22 + d) βcotαcot

10022 +

141. If Nrar ∈> ,0 and naaa 221 ......,,, are in AP then ++

++

++

+++ −−

43

223

32

122

21

21

aaaa

aaaa

aaaa nnn

.......

1

1

+

+

++

+nn

nn

aaaa

is equal to

a) 1−n b)11

21 )(

+++

n

n

aaaan

c)11

1

++−

naan

d) none of these

142. The value of the sum ∑=

++13

1n

1nn )ii( , where i = 1− equals :

a) i b) i - 1 c) -i d) 0


23



143. Equation of the plane perpendicular to the plane x - 2y + 5z + 1 = 0 which passes through the points(2, -3, +1) and (-1, 1, -7) is given by :a) 4x - 4y + z + 7 = 0b) 4x + 7y + 2z + 11 = 0c) 2x + y - z = 0d) none of them

144. The distance between the straight lines 6x +8y = 15 and 3x + 4y = 9 is :a) 1 b) 2 c) 3 d) none

145.

−+

∞→xxxlim

xis equal to

a) 1 b) 0 c) 1 / 2 d) none of these

146. If in a distribution each x is replaced by corresponding value of f ( x ) , then the probability of gettingix

Whose original probability is ip is

a) ip b) )p f( i

c)

ip1f d) none of these

147. In a binomial distributation , the mean is 9 and S.D is 6 . The values of n and p are respectively :

a) 31,27 b) 9

1,81

c) 41,36 d) 2

1,18

148. If ),(282118 zyxzyx ≠≠== then 3, 3 zxyzxy log7,log3,log are in

a) A.P b) G.P c) H.P. d) none of these

149. Lines are drawn through ( - 4 , 5 ) such that the distance from ( 3 , -2 ) is a . The minium value of a is

a) 72 b) 27 c) 63 d) 23

150. The solution of 0dxy1dyx1 22 =−+− is

a) ycosxsinc 11 −− += b) ysinxsinc 11 −− +=

c) ytanxtanc 11 −− += d) none of these

151. The left and derivative of f(x) = [x] sin ( xπ ) at x = k, k an integer and [x] means the greatest integer≤ x is :a) (-1)k (k - 1) π b) (-1)k - 1 (k - 1) π c) (-1)k k π d) (-1)k- 1 k π

152. If the rth term in the expansion of 10

2x2

3x

− contains x4, then r is equal to :

a) 4 b) 3 c) 4 d) none


24



153. A bag contains 2 red and 3 white balls. If two balls are drawn one by one without replacement, thenthe probability of the second ball being white is :

a) 52

b) 53

c)21

d) 252

154. A particle moves from rest at a distance c from a fixed O with an acceleration 2xµ

away from O at a

distance x. Then the velocity of the particle at distance 2c from is :

a) cµ

b) cµ c) cµ

d) none

155. Equation of the curve through the point (1, 0) which satisfy the differential equation(1 + y2) dx -xy dy = 0 is :a) x2 + y2 = 1 b) x2 - y2 = 1c) 2x2 + y2 = 2 d) none

156. Forces of 1 and 2 units act along the lines x = 0, y = 0. The equation of the line of action of the resultantis :a) y - 2x = 0 b) 2y - x = 0c) y + x = 0 d) y - x = 0

157. Let k2ji2a −+=→

and jib +=→

. If →c is a vector such that

→→⋅ ca = |

→c |, |

→→− ac | = 2 2 and the angle

between )ba(→→

× and →c is 30o, then |c)ba(|

→→→××

a) 2/3 b) 3/2 c) 2 d) 3

158. If a, b, c are sides of a triangle and 222

222

222

1)(c1)(b1)(a1)(c1)(b1)(a

cba

−−−+++ = 0, then

a) ∆ABC cannot be equilateral triangle

b) ∆ABC is a right angled isosceles triangle

c) ∆ABC is an isosceles triangle

d) None of these

159. The smallest interval in which the value of dxx

x163

10

+∫ lies is

a)

171,0 b) [0, 1] c)

271,0 d) None of these

160. If °≤≤ 90βα,0 and 3β)αtan( =+ and 2β)αtan( =− then value of sin α2 is

a) 21− b) 2

1c) 2

1d) None of these


25



161. If γβ,α, are the rootos of the equation .03x 23 =+++ mxmx then the general value of

γtanβtanαtan -1-11 ++− is

a) 2π)12( +n b) πn

c) 2πn

d) dependent upon the value of p.

162. Let π/2α0 << be a fixed angle. If )sinθθ,(cosP and θ),-(αsinθ),-α(cosQ then Q is obtained from P bya) clockwise rotation around origin through an angle αb) anticlockwise rotation around origin through an angle αc) reflection in the line through origin with slope tan α

d) reflection in the line through origin with slope 2αtan

163. The direction ratios of the diagonal of the cube joining the origin to the opposite corner are (when the3 concurrent edges of the cube are coordinate axes)

a) 32,

32,

32

b) 1, 1, 1 c) 2, -2, 1 d) 1, 2, 3

164. A point moves in a straight line so that its distance s from a fixed point at any time t is equal to ),1( >nktwhere k is a constant. If v be the velocity and f acceleration at any time t, then

a) fsnnv )1(2 −− b) fsnv −2

c) nfsv −2 d) nfsvn −− 2)1(

165. The unit vector perpendicular to both the vectors kjia ++= and k3ji2b +−= and making an acute

angle with the vector k is

a) )k3ji(4261- −− b) )k3ji(4

261 −−

c) )k3ji(4261 +− d) none of these

166. The sum of squares of deviations for 10 items from the mean (= 50) is 250. The coefficient of variationisa) 25 b) 50 c) 10 d) none of these

167. If twice the square of the diameter of a circle is equal to half the sum of the sides of the squares of thesides of the inscribed triangle ABC, then CB 222 sinsin A sin ++ is equal to :

a) 1 b) 2 c) 4 d) 8

168. If an = ∑=

n

0r rn C1

then ∑=

n

0r rn C

r equals :

a) (n - 1)an b) nan c)21

nan d) none


26



169. If the roots of the equation x2 - 2ax + a2 + a - 3 = 0 are real less than 3, then :a) a < 2 b) 2 ≤ a ≤ 3 c) 3 < a ≤ 4 d) a > 2

170. If ,Nn ∈ then nn ii 22 )1()1( −++ is a

a) purely imaginary numberb) purely real numberc) non-real complex numberd) complex number in which real and imaginary parts are equal

171. The value of ∫π

π

2dx]xsin2[ , where [.] represents the greatest integer function, is :

a) 35π−

b) π− c) 35π

d) -2x

172. The straight lines whose direction cosines are given by al + bm + cn = 0, fmn + gnl + hlm = 0 areperpendicular if :

a) 0ch

bg

af =++ b) 0

hc

gb

af =

+

+

c) )ch()bg()af( == d)

=

=

hc

gb

fa

173. If the line of action of the resultant of two forces P and Q divides the angle between them in the ratio1 : 2, then the magnitude of the resultant is :

a)P

)QP( 22 + b) Q)QP( 22 +

c)P

)QP( 22 − d) Q)QP( 22 −

174. The equation of the common tangent touching the circle (x - 3)2 + y2 = 9 and the parabola y2 = 4xabove the x - axis is :

a) 3 y = 3x +1 b) 3 y = -(x + 3)

c) 3 y = x + 3 d) 3 y = -(3x + 1)

175. The volume of the tetrahedron included between the plane 2x - 3y + 4z - 12 = 0 and the threecoordinate planes is

a) )29(3 b) )29(6

c) 12 d) none of these


27



176. The transverse axis of a hyperbola is of length 2a and a vertex divides the segment of the axis betweenthe centre and the corresponding focus in the ratio 2 : 1. If the transverse axis of the hyperbola liesalong x-axis and the centre is at the origin then the equation of the hyperbola is

a) 222 5a4y5x =−

b) 222 4a4y5x =−

c) 222 5ay54x =−

d) 222 4ay54x =−

177. Two weights W and W’ are connected by a light string passing over a light pulley. If the pulley moveswith an upward acceleration equal to that of the gravity, the tension in the string is :

a) W'W W W'

+ b) W'W W W'2

+ c) W'W W W'3

+ d) W'W W W'4

+

178. Inorder that bigger sphere (with centre ,1C radius R) may fully contain a smaller sphere (centre ,2C

radius r), the correct relationship is

a) RrCC +<21 b) rRCC −<21

c) )(221 rRCC −< d) )(21

21 rRCC +<

179. m distinct animals of a circus have to be placed in m cages, one in each cage. If )( mn < are too smallto accommodate )( mpnp << animals, then the number of ways of putting the animals into cages is

a) pCnm− b) )()(pmPnmpPnm

−−−

c) )()(pmCpm

pCnm−

−− d) None of these

180. If points ),(),,( 2211 yxByxA and ),( 33 yxC are such that 321 ,, xxx and 321 ,, yyy are in G.P with samecommon ratio, then

a) A, B are C are concylic pointsb) A, B and C are colliner pointsc) A, B, and C are vertical of an equilateral triangled) none of these


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