Ai Aieee Modeltest 06

AIEEEMODELTEST

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ieee

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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 - FXI

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Questions - 180 PHYSICS Time - 180 Min

1. The dimensions of frequency is

a) ][T 1− b) T]L[M 00 c) ]TL[M -200 d) none of these

2. A particle is moving on a straight line path with constant acceleration directed along the direction ofinstantaneous velocity. Which of following statements are flase about the motion of particle ?a) Particle may reverse the direction of motionb) Distance covered is nto equal to magnitued of displacementc) The magnitude of average velocity is less than average speedd) all the above

3. Half life of a radioactive material is 1day. If starting material is 16mg, how much of it will be left after4 days

a) 12 mg b) 8mg c) 4 mg d) 1 mg

4. In the circuit given V (t) is the sinusoidal voltage source, voltage drop (t)VAB across the resistor R is

1) is half wave rectified2) is full wave rectified3) has the same peak value in the positive and negative half cycles4) has different peak values during positive and negative half cyles.

1D 2D

Ω=100R iR

V(t)

ABV2R

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

5. Real image of an object lying at a distance 1d from the focus of a concave mirror is formed at distance

2d from the foucs, then focal length of the mirror will be

a)2

1

dd

b)1

2

dd

c) 21d d d) 21d d

6. Ratio of amplitudes of the waves coming from two slits having width in the ratio 4 : 1 will bea) 1 : 2 b) 2 : 1 c) 1 : 4 d) 4 : 1

7. A closed loop is placed in a non- uniform magnetic fielda) The force experienced by it is always zerob) The force acting on the loop is zero only when the loop is parallel to the fieldc) The torque experienced by the loop is zero only when the loop is perpendicular to the field.d) The loop always experiences a torque




3

8. For an electromagnetic wave the direction of the vector BE× gives :a) the direction of the electric field

b) the direction of magnetic field

c) the direction of wave propagation

d) the direction of the electromagnetic force on a proton

9. What work must be done to rotate an electric dipole through an angle θ with the electric field, if anelectric dipole of moment p is placed in an uniform electric field E with p parallel to E

a) θ) cos-E(1W p= b) θ) cosE(1W += p

c) θ) cos-PE(12W = d) none of these

10. A solid cube is placed on a horizontal surface. The coefficiet of friction between them is µ, where

21µ < . A variable horizontal force is is applied on the cube’s upper face, perpendicular to one edge

and passing through the midpoint of that edge. The maximum acceleration with which it can movewithout topping is

Force

a) gµ b) g2µ c) )2µ-g(1 d) g

+

21µ

11. Two identical rods are made of different materials whose thermal conductivities are 1k and .2k Theyare placed end to end between two heat reservoirs at temperatures 1Q and ,2Q The temperature of thejunction of the rods is

1θ 2θ1k 2k

a)2θθ 21 + b)

21

2211

kkθkθk

++

c)21

1221

kkθkθk

++

d)21

2211

kkθkθk

++




4

12. A circular cylinder of radius R and heigh H is filed with water to a height .32 H It starts rotating about

its axis with constantly increasing angular speed.

H32H

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

13. A long solenoid of self-inductance, L, not carrying any current, is placed in a uniform magnetic filed,with its axis parallel to the direction of the field. The total magnetic flux linked with the solenoid is φ.The energy of the magnetic field contained inside the solenoid is

a) zero b)L

2φ c)2Lφ

d) φ1L

2

14. A milliammeter of range 10 mA and resistance Ω9 is joined in a circuit as shown. The meter givesfullscale deflection for current I when A and B are used as its terminals, i.e., current enters at A andleaves at B (C is left isolated). The value of I is

A B C

Ω0.1 Ω0.9

10mA9Ω

a) 100mA b) 900mA c) 1A d) 1.1A

15. Calculate the work done by a force )N,k3j2i(F ++= to displace a body from position A to position B.

The position vector of A is )kj3i(r1 ++= m and the position of vector of B is )mk3j2i(2r2 ++=

a) 5J b) 3J c) 2J d) 10J

16. Consider the situation in which the horizontal suface accelrates towards right with 0a with respect toground, as shown in fig. Choose the correct statement. If the acceleration 0a starts increasing uniformlyfrom zero

1m 2m

Rough µ 0a

1) At all speeds, shape of the free surface is parabolloid2) The free surface touches first the brium of cylinder and then the

base of the cylinder3) The free surface cannot touch the base without spillig water4) The free surface touches the brim as well as base at the same instant.

a) the block 1m starts moving first.

b) both block 2m starts moving first

c) both the blocks start moving togetherbecausethe blocks are in contact with each other.

d) both the blocks will always move togetherirrespective of the fact whether they are incontact or not.




5

17. An engine whistling at a constant frequency 0n and moving with a constant velocity goes past astationaryobserver, As the engine crosses him, the frequency of the sound heard by him changes by afactor f. The actual differency in the frequencies of the sound heard by him before and after the enginecrosses him is

a) 20 )1(

21 fn − b)

( )2

01

21

ffn −

c)

+−

ffn

11

0 d)

+−

ffn

11

21

0

18. The escape velocity for a planet is ev . A particle starts from rest at a large distance from, the planet,reaches the planet only under gravitation attraction, and passes through a smooth tunnel through itscentre. Its speed at the centre of the planet will be

a) ev b) ev5.1 c) ev5.1 d) ev2

19. Choose the correct statement(s) related to the initial and final conditions of pressure.

a) 21 ppP += b)2

ppP 21 +=

c) 2121

2pp ppp +<<

+d) Insufficient data

20. Choose the correct statement(s) related to the initial and final temperature of the gas

a) 21 TTT += b)2

2

1

1

21

PT

PT

TTT+

+=c)

2

2

1

1

21

TP

TP

PPT+

+=d) Insufficient data

21. The earths magnetic field at a certain point is 0.70 gauss. This field is to be annulled by the magneticfield at the centre of a circulr conducting loop 5.0 cm in radius. the required current is abouta) 0.66 A b) 5.6 A c) 0.28 A d) 2.8 A

22. The motion of a body falling from rest in a resisting medium is described by the equation .bvadtdv −=

Where a and b are constnat. The velocity at any time t is

a) )1( 2tba − b) )1( bteba −− c) tabe− d) )1(2 tab −

23. When a voltage source that is inducing voltage into a large number of coils is disconnected, and aswitch that is in series with the coils of wire is also opened, a spark is observed to jump across theswitch terminals as the switch begins to open up. What is the cause of this spark ?a) Free electrons from the voltage sourceb) Free electrons from the coils of wirec) Collapse of the magnetic field in the coils of wired) Secondary electron flow from the source

24. A ball is allowed to fall freely from a height of h meters on a fixed plate. If the successive reboundheights are ....,h,h,h 321 the distance covered by the ball before coming to rest if e = 0.5 will bea) zero b) 5 h/3c) 3 h/5 d) 3 h/4




6

25. A block A of mass 1m rests on a block B of mass 2m . B rests on fixed surface. The coefficient offriction between any two sufaces is µ. A and B are connected by a massless string passing around africtionless pulley fixed to the wall as shown in fig. With what force should A be dragged so as to keepboth A and B moving with uniform speed.

B

A

T

TF

1f

2f

1f

a) )m(2mµg 21 + b) )m(3mµg 21 + c) )m2(mµg 21 + d) )m3(mµg 21 +

26. Identical point masses each equal to m are placed at x = 0, x = 1, x = 2, x = 4,... The total gravitationalforce on mass m at x = 0 due to all other masses is :

a) infinite b) 2(4/3)Gm c) )Gm(4/3 2 d) zero

27. Water flows through a frictionless tube with a varying cross - section as shown in fig. Pressure P atpoints along the axis is represented by

a) x

P

b) x

P

c)x

P

d) x

P

28. The spring constant from the adjoing combination of spring is

2K

K K

m

a) K b) 2K c) 4K d) 5 K/2




7

29. A particle of mass m is fixed to one end of a light spring of froce constant K and unstreched length l.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

ωK

m

a)k

l2mω b) 2

2

ωmω

mkl

−c) 2

2

ωmω

mkl

+d) None of these

30. An electromagnetic radiation of frequency n, wavelength λ, travelling with velocity v in air, enters aglass slab of refractive index µ. The frequency, wavelength and velocity of light in the glass slab willbe respevtively.

a) µvand

µλ,

µn

b) µvand

µλ,n c) µ

vandλ2,n d) vandµλ,

µ2n

31. A metal ball immersed in alcohol weighs 1W at 0°C and 2W at 59°C. The coefficient of cubicalexpansion of the metals is less than that of alcohol. Assuming that the density of the metal is large

compared to that of alcohol, it can be show that

a) 21 WW > b) 21 WW =

c) 21 WW < d) /2)(WW 21 =

32. The maximum energy in the thermal rediation from a hot source occurs at a wavelength of cm.1011 -5×According to Wien’s law, the temperature of this source (on Kelving scale) will be n times thetemperature of another source (on Kelvin scale) for which the wavelength at maximum energy is

cm.105.5 -5× The value n is

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

33. The four capacitors, each of 25µ Fared connected a shown in Fig. The dc voltmeter reads 200 V. Thecharge on each plate of capacitor is

V

a) C102 -3×± b) C105 -3×±

c) C102 -2×± d) C105 -2×±




8

34. If in the experiment of wheatstone’s bridge , the positions of cells and galvanometer are interchanged,then balance points willa) changeb) remain unchnngedc) depend on the internal resistance of cell and resisof cell and resistance of galvanometerd) none of these

35. You have the following appliance each of 500 watt running on 220 volts a. c (1) electric iron (2) anelectric lamp ( 3 ) an electronic room heater . The electric resistance isa) maximum for the heater b) maximum for the electric lampc) maximum for the electric iron d) same in all the three cases

36. A body starts from rest and moves with a uniform acceleration. The ratio of the distance covered inthe nth sec to the distance covered in n sec is

a) 212

nn− b) nn

112 − c) 22

12nn

− d) 212nn

+

37. If the potential energy of the molecule is given by .12B

rAU 6 −= Then at equilibrium

position its potential energy is equal to

a) /4BA2− b) /4BA2 c) A/B2 d) A/2B

38. A pipe of length 1.5 m closed at one end is filled with a gas and it resonates in its fundamental modewith a tuning fork. Another pipe of the same length but open at both ends is filled with air and itresonates in its fundamental mode with the same turning fork. Calculate the velocity of sound at 0°Cthe gas, given that velocity of sound in air at room temp. (30°C), where expt is carred out is 360 m/s.

a) 683.4 m/s b) 682.4 m/s c) 684.4 m/s d) 684.3 m/s

39. Light takes 1t sec to travel a distance 1cm in vacuum and the same light takes 2t sec to travel 10 cmin a medium. Critical angle for corresponding medium will be

a)

1

21-t

10tsin b)

1

21-10ttsin c)

2

11-t

10tsin d)

2

11-10t

tsin

40. An infinitely long straight conductor is bent into shape as shown below on fig.It carries a current of i ampere and the radius of the circular loop is r, metre.Then the magnetic induction at the centre of the circular part is

ir

a) zero b) Infinite c) 1)(πr2i.

4πµ0 + d) 1)-(π

r2i.

4πµ0




9

41. A fuse wire with a radius of 1mm blows at 1.5A. If the fuse wire of the same material should blow at3.0A, the radius of the wire must be

a) mm41/4 b) mm22 c) mm5 d) mm0.8

42. The ratio of momentum of an electron and an alpha particle which are accelerated from rest by apotential difference of 100 V is

a) 1 b) )/2m(2m αe

c) )/m(m αe d) )/2m(m αe

43. A radioactive material has a mean lives of 16 years and 520 year for α and β emission respectively.The material decays by simultaneous α and β emission. The time in which 1/4th of the materialintact isa) 4675 year b) 720 yearc) 648 year d) 324 year

44. The velocity of light c measured by an observer moving with velocity equal to that of light in thedirection of propagation of light isa) 0 b) c c) 2c d) uncertain

45. In the spring - block system shown, the block of mss m moves over a smooth horizontal surface, andunder goes SHM with time period = T and amplitude = A.A constnat horizontal force F not begins toacts on the block. The motion of the block will now be

Km

F

a) Periodic but not SHM b) SHM with time period = T

c) SHM with time period = 21

mAFT

−

+ d) SHM with time period = 2

1

mAF-T

−

46. When the filament of a light bulb is heated slowly, its colour changes from red to orange to yellow andeventually to white. It never appears green or blue. This is becausea) The maximum temperature attainable gives maximum intensity of emmison in the ultraviolet

part of the spectrumb) The temperature range in which green and blue light predominate is too narrowc) The filament is not black at high temperatures and Wien’s displacement law does not applyd) any green and blue light emitted is always accompained by more intense red and orange

emission.

47. A dip circle lying initially in the magnetic meridian is rotated through angle θ in the horizontal plane.The tangent of angle of dip is increased in the ratio

a) 1:θcos b) 1:θsin

c) θcos:1 d) θsin:1




10

48. The figure shows a transparent sphere of radius R and refractive index µ. An object O is placed at adistance X from the pole of the first surface so that a real image is fromed at the pole of the exactlyopposite surface. If an object is placed at a distance R from the pole of first surface, then the realimage is formed at a distance R from the pole of the second surface. The refractive index µ of thesphere is given by

AirAir

O

XI

2R

a) 1.5 b) 2 c) 2 d) none of these

49. Two resistance thermometers are made, one of the platinum wire and the other of germanium wire.The resistance of both the thermometers are equal at toom temperaturem. The two resistor wires are connected in series to a battery. Now two resistance wires are heated to 100°C. The potential drop inthe two resistance is measured. Which of the following statement is correct

a) The potential drop across the platinum wire is equal to the potential drop across the germaniumwire

b) The potential drop across the platinum wire is greater than that across germaniumc) The potential drop across the platinum wire is lessthan that across germaniumd) The natre of potential drop cannot be ascertained unless the magnitude of current is known.

50. The magnet in figure rotates as shown on a pivot through its center. At the instant shown, what are thedirections of the induced currents

A B C Da) A to B and C to D b) B toA and C to Dc) A to B and D to C d) B to A and D to C

51. A particle moving in a straight line with uniform acceleration is observed to be at a distance ‘a’ froma fixed point initially. It is at distances b, c, d from the same point after n,2n, 3n second. The accelerationof the particle is

a) 2na2bc +−

b) 2nabc

9++

c) 2nabc

42 ++

d) 2nabc +−




11

52. A block of mass m is kept in elevation which starts moving down ward with an acceleration a as

shown in fig. The block is observed by two observers A and B for time interval .0t

B

mA

a

The observer B finds that the work done by pseudoforce is

a) zero b) 02tma−

c) 02tma+ d) 0mgat−

53. A rigid spherical body is spinning around an axis without any external torque. Due to change intemperature, the volume increases by 1%. The angular speed will approximately

a) increase by 1% b) decrease by 1%c) decrease by 0.67% d) decrease by 0.33%

54. The molar heat capacity of an ideal gas at constant pressure is greater than that at constant volumebecausea) work has to be done against intermolecular forces as the gas expandsb) work has to be done against external pressure as the gas expandsc) the molecules gain rotational kinetic energy as the gas expandsd) when the molecules are farther apart, they collide less frequently and the average molecular

energy decreases

55. In the arrangement shown in the figure, the ends P and Q of an unstretchable string move downwardswith uniform speed u. The pulleys A and B are fixed. The mass M moves upwards with a speed.

2aA

P

x B

Qθ

a) 2u cos θ b) u/cos θc) 2u/cos θ d) u cos θ




12

56. Two masses each equal to m are lying on X-axis at (-a, 0) and (+a, 0) respectively as shown in fig.They are connected by a light string. A force F is applied at the origin and along the Y-axis. As result,the masses move towards each other. What is the accelreation of each mass ? Assume the instaneousposition of the masses as (-x, 0) and (x, 0) respectively.

F

-x m0)(-a, 0)(a,

mx

O

57. The curcuit is as shown in the fig. the cell is ideal with e.m.f = 15 V, each resistance is of Ω3 . Thepotential difference across the capacitor is

CF2µ

R

R

RR

R

15V

58. Two bar magnets of the same mass, same length and breadth but having magnetic moments M and2M are joined together pole for pole and suspended by a string. The time period of assembly inmagnetic field of strength H is 3 seconds. If now the polarity of one of teh magnets is reversed andthe combination is again made to oscillate in the same field, the time of oscillation is

a) 3 sec b) sec33 c) sec3/3 d) 6 sec

59. The figure shows the displacement-time graph of a body moving in a stright line Which of the graphshown in the fig., represents the velocity-time graph of the motion of the body ?

Ys

O 1 2 3 4 X

t

a) )(.

mF

22 xax− b) )(

.2mF

22 xa

x

−

c) )(.

m2F

22 xa

x

− d)x

xaF )(2.m2F 22 −

a) zero b) 9 Vc) 12 V d) 15 V

a) 1 2 3 4 X

Y

v

O

t

b)1 2 3 4 X

Y

v

O

t

c)1 2 3 4 X

Y

v

O

t

d) 1 2 3 4 X

Y

v

Ot




13

60. Jack and Jill are skating on a pond so that they are moving with the same speed v in the same straightline. Jack is skating backwards facing Jill. Jack throws a ball to Jill at time t1 and receives it back attime t2.Assuming that the time of flight is negligible and that Jack and Jill weigh the same, which one of thesketches gives the correct speed – time relationship for the two skaters?

Spee

dSp

eed

Spee

dSp

eed

Jack

Jack

Jack

Jack

Jill

Jill

Jill

Jill

Time

Time

Time

Time

t1

t1

t1

t1

t2

t2

t2

t2

(a)

(c)

(b)

(d)




14

Chemistry

61. For a covalent solids, the units which occupy lattice point are :a) atoms b) ions c) molecule d) electron

62. The following quantum numbers are possible for how many orbital n = 3, l = 2a) 4 b) 3 c) 2 d) 1

63. The electronic configuration of an element is 1s2, 2s2 2p6, 3s2 3p3. The atomic number of element justbelow this element in the periodic table is :a) 49 b) 31 c) 33 d) 34

64. If a molecule MX has dipole moment zero then the sigma (s) bonding orbitals used by M(Z< 21) is :a) sp2-hybridized b) pure p-orbitals c) sp3 hybridized d) sp-hybridized

65. Which type of hydrocarbon is present in commercial gasoline :a) Straight chain hydrocarbon b) Aromatic hydrocarbon like toluenec) Branched hydrocarbon d) Linear unsaturated hydrocarbon

66. Which of the following does not give iodoform test :a) 3-Pentanone b) 2-Pentanone c) Ethanol d) Ethanal

67. Nitrous acid on reaction with primary aliphatic amine gives :a) Alkyl nitrite b) Secondary amine c) Alcohol d) Nitro alkane

68. Reactive species in the nitration of benzene is :a) HNO3 b) NO3- c) NO2

- d) NO2+

69. Cyclone collector is used for reducing :a) Water pollution b) Air pollution c) Soil pollution d) All the above

70. Which of the following does not give Claisen condensation reaction :a) C6H5COOC2H5 b) C6H5CH2COOC2H5

c) CH3COOC2H5 d) None of these

71. Element A changes to element C by the following tow step process :(i) A → B + 2He(ii) B → C + 2e- then :a) A and C are isotopes b) A and C are isobarsc) A and B are isobars d) A and B are isotopes

72. The hypothetical reaction 2AB;BA 22 →+ follows the following mechanism A,AA Fast2 +→

B,ABBA Slow2 + →+ AB.BA Fast→+ The order of the overall reactions is

a) 0 b) 1 c) 2 d) 3/2

73. The standard reduction potential of Pb and Zn electrodes are -0.126 and -0.763 volts respectively. Theemf of the cell (1M)/PbPb||(0.1M)Zn/Zn 22 ++ is

a) 0.637 V b) < 0.637 V c) > 0.637 V d) 0.889




15

74. The relationship between the values of osmotic pressure of solutions obtained by dissolving 6.001Lg − of COOHCH3 )(π1 and 7.45 g 1L− of KCl )π( 2 is

a) 21 ππ < b) 21 ππ > c) 21 ππ = d)21

2

21

1

πππ

πππ

+=

+

75. Calculate the temperature at which ,molkJ5.2∆G -1−= -1molkJ6.145∆H = and -1-1 molJK116∆S =for a chemical reactiona) 1300°C b) 1300 K c) 130 K d) 130°C

76. What is ‘A’? → →+O/HH

ether

MglHC 252 BA tert. Pentyl alcohol

a) pentanone b) Acetaldehyde c) Acetone d) Propanal

77. Correct order of -I effect is :a) - NR3

+ > OR- > F b) F > - NR3+ > - OR

c) - NR3+ > F > - OR d) - OR > - NR3

+ > F

78. 2-bromopentane reacts with alcoholic KOH to give :a) Cis - 2 - pentene b) Trans - 2 - pentenec) 1-Pentene d) None of the above

79. Aniline is a reactive system for electrophilic substitution. The compound formed by heating anilinewith acetic anhydride will be :

a) b)

c)NH C 3CH

O

d)

80. Iodine on oxidation with this thiosulphate gives :a) tetrathionate ion b) sulphide ion c) sulphate ion d) sulphite ion

81. Sodium is prepared by the electrolysis of liquid mixture of 40% NaCl and 60% CaCl2 because :a) Ca2+ can reduce NaCl to Nab) CaCl2 helps in electrical conductionc) this mixture has low melting point than NaCld) Ca2+ can displace Na from NaCl




16

82. Cr in [Cr(NH3)6] Br3, has how many unpaired electrons :a) 4 b) 3 c) 2 d) 1

83. The molar freezing point constant for water is 1.86°C/mole. If 342 gm of cane 100 g of water thesolution will freeze at

a) -1.86° b) 2.42°C c) -3.92°C d) 1.86°C

84. Atoms with the same mass number but having different nuclear charge are calleda) Isobars b) isotones c) Isochores d) Isotopes

85. The simplest way to check whether a system is colloidal is bya) Brownian movement b) Electrodialysisc) Tyndall effect d) finding out particle size

86. Which of the following halogens exist in the solid state ?

a) 2F b) 2Cl c) 2I d) 2Br

87. Chroine oxidises 322 OSNa to form

a) 42SONa b) 32SONa c) ONa2 d) 32CONa

88. A substance which decomposes at or below its boiling point can be best purified bya) Fractional distillation b) Simple distillationc) Distillation under reduced pressure d) Steam distillation

89. How many σ and π bonds are there in the molecule of tetracyanoethene ?

a) bondsπnine andσnine b) bondsπeight andσFive

c) bondsseven π andσ Nine d) bonds πnine and πFive

90. Which substance chars when heated with conc. 42SOH

a) Fat b) Protein c) Hydrocarbon d) Carbohydrate

91. The value of molar conductivity of HCl is greater that of NaCl at a particular temperature becausea) molecular mass of HCl is less than that of NaCl

b) velocity of +H ions is more than that of +Na ions

c) HCl is strongly acidicd) ionisation of HCl is larger than that of NaCl

92. Which one of the following substance is used in the labratory for fast drying of neutral gases ?a) Phosphrous pentoxide b) Active charcoal

c) Anhydrous calcium chloride d) 43PONa

93. Concentrated nitric acid passivates iron due to

a) formation of 23 )Fe(NO , which does not reach with iron , on the surface of the ioron b) formation of a protective coating of the oxide of iron which does not react with nitric acid , on the surface of the ironc) formation of a stable complex on the surface of the iron

d) decomposition of nitric acid into 2NO and 2O




17

94. For the square planar complex [M (a) (b) (c) (d)] (where M=central metal and a, b, c and d aremonodenate ligands), the number of possible geometrical isomrs area) 1 b) 2 c) 3 d) 4

95. If 42SOH ionises as

−+ +→+ 243242 SOO2HO2HSOH

then total number of ions produced by 0.1 M 42SOH will be

a) 21109.03× b) 22103.01× c) 22106.02× d) -23101.8×

96. If a dilute solution has 1N mole of the solute and 2N moles of both solute and solvent, then the ratioof the decrease in the vapour pressure with the vapour of a solvent is equal to

a)2

1NN

b)2

21N

NN +c)

21

1NN

N+ d)

1

12N

NN −

97. The colour of 722 OCrK changes from red orange to lemon yellow on treatment with aqueous KOHbecause of

a) reduction of Cr (VI) to Cr (III)b) Formation of chromium hydroxidec) Conversion of dichrromate to ion to chromate iond) Oxidation of potassium hydrozide to potassium peroxide

98. Identify the correct statement with respect to carbon monoxide;a) It combines with water to given carbonic acid b) It reacts with haemoglobin in red blood cellsc) It is a powerful oxidizing agent d) It is used to prepare aerated drinks

99. Pale blue colour of liquid oxgen is due toa) Electronic transitions from triplet ground statement to excited singlet stateb) Electronic transitions from singlet ground state to excited triple state

c) Excitation of X2pπ 1* and Y2pπ 1* electrons to 2pZπ* M.O’s

d) None of these

100. A compound contains 15.05% nitrogen by wiehgt if the molecular of the compound is 93, then thenumber of nitrogen atoms present in one molecule of the compound, is/area) 3 b) 1 c) 2 d) 4

101. Reaction of acetaldehyde with HCN followed by hydrolysis gives compound which showsa) Optical isomers b) Geometrical isomerism c) Metamerism d) Tautomerism

102. Which of the following statements is/are not correct1) A compound with D-configuration will always be dextrorotatory2) A compound with D-configuration may be dextrorotatory or laevorotaiory3) A compound with L-configuration will always be laevorotatory4) A compound with L-configuration may be dextrorotatory or laevorotatorya) 1, 3 b) 2, 1 c) 3, 4 d) 2, 3

103. Which of the following statement is wrong ?a) -α D-Glucose and -β D-Glucose are anomers b) Sucrose contains fructose in the pyranose formc) Glucose and mannose are −2C epimers d) Maltose and lactose form osazones.




18

104. During dialysisa) solvent molecules and ions can diffuseb) solvent molecules, ions and colloidal particle can diffusec) all kinds of particles can diffuse through the semipermeable membraned) only solvent molecules can diffuse

105. Ge (II) compounds are powerful reducing agent, where as Pb (IV) compounds are strong oxidants. Itcan be due toa) lead is more electropositive than germaniumb) the ionizaton potential of lead is less than that of germanium

c) the ionic radii of +2Pb and +4Pb are larger than those of +2Ge and +4Ge

d) more pronounced inert pair effect in lead than in germanium

106. In the reaction e,2HeH4 01

42

11 +→ the energy released is 81026× kJ/mol of He. The value of the

change in mass (mass of products - mass of reactants) in g/mol of He isa) 0.029 b) -0.029 c) -0.058 d) 0.058

107. The hair dyes available in the market generally contain two bottles, one containing due and the otherhydrogen peroxide. Before applying the dye, the two solutions are mixed. The hydrogen peroxide.

a) is added to dilute the solution of the dye b) oxidises the dye to given the desired colourc) reduces the due to given the desireid colour d) acidifies the solutionof the dye

108. For the reaction : 2HBr(g),(g)Br(g)H 22 →+ the experimental data suggests

Rate = 1/222 ]][BrK[H

The molecularity and order of reaction for the reaction is

a) 2 and 2 respectively b) 2 and 211 respectively

c)211 and 2 respectively d)

211and

211 respectively

109. Which of the following does not respond to iodoform test ?

a) 5223 HCOOCCOCHCH b) 52223 HCOOCCHCOCHCH

c) 3223 COCHCHCOCHCH d) 323 CHCOCHCH

110. Bakelite is prepared by the reaction betweena) Urea and formaldehydeb) Tetramethylene glycol and hexamethylene isocynatec) Phenol and formaldehyded) Ethylene glycol and dimethylterephthalate

111. A solution containing one mole per litre each of 232323 )(NOHg,AgNO,)Cu(NO and 23)Mg(NO is beingelectrolysed by using inert electrodes. The value of standard electrodes potentials (reduction potentials)

in volts are : 0.79VHg|2Hg0.80V;Agh|Ag 22 == ++ 2.37VMg|Mg0.34V;Cu|Cu 22 += ++ with increasing

voltage the sequence of deposition of metals on the cathode will be :a) Ag, Hg, Cu, Mg b) Mg,Cu, Hg, Ag c) Ag, Hg, Cu d) Cu, Hg, Ag




19

112. Equivalent weight of 4KMnO at pH = 12 is

a) M/5 b) M/2 c) M d) M/3

113. 50 ml of hydrogen diffuses in 20 minutes from a small hole in a tube then 40 ml of oxygen willdiffuse in :a) 12 minutes b) 8 minutes c) 64 minutes d) 32 minutes

114. What is the molarity of H2SO4 solution which is 98% by weight and the density of solution at 35° C is1.84j gm/cm3:a) 4.18 M b) 8.14 M c) 18.4 M d) 18 M

115. When one mole is heated at constant volume temperature is raised from 298 to 308 K. Heat suppliedto the gas is 500 J. Then which statement is correct :a) q = W = 500 J, ∆U = 0 b) q = ∆U = 500 J, W = 0c) q ≠ W = 500 J , ∆U = 0 d) ∆U = 0, q = W = - 500 J

116. XeF6 + H2O º xeOF4 + 2HF constant = K1

XeO4+ + XeF6 º XeOF4 + XeO3F2 constant = K2 then equilibrium constant for the following reaction

XeO4 + 2HF º XeO3F2 + H2O will be :

a)2

1

KK

b) K1 + K2 c)1

2

KK

d) ( )22

1

K

K

117. Following reaction is :

a) SE1 b) SN1 c) SN° d) SN2

118. From the following the number of atoms is greatest in :a) 4 g hydrogen b) 71 g chlorine c) 48 g magnesium d) 127 g iodine

119. 0.20 g of an organic compound containing carbon, hydrogen and oxygen yields on combustion 0.147g carbon dioxide and 0.12 g water. The percentage composition of the substance respectively isa) 20.04, 66.6 & 73.30 b) 20.04, 6.66 & 73.30c) 21.05, 66 & 23.95 d) 24.59, 25.32 & 50.12

120. Match List-I with List-II and select the correct answer using the options given below the listsList-I List-II(A) Rosenmund’s reaction 1. Rearrangement of oximes to amides.(B) Reimer-Tiemann’s reaction 2. Conversion of an aldohexose into an aldopentose.(C) Kiliani - Fisher’s synthesis 3. Catalytic reduction of an acid halide to an aldehyde.(D) Beckmann’s rearrangement 4. Conversion of an aldopentose into two aldohexoses.

5. Formylation of a phenol with chloroform and strongbase.

a) A–3; B–5; C–2; D–1 b) A–3; B–5; C–4; D–1c) A–3; B–4; C–2; D–5 d) A–5; B–3; C–1; D–4




20

MATHEMATICS

121. Given two finite sets A and B such that n(A) = 2, n(B) = 3. Then total number of relation from A to B is:a) 4 b) 8 c) 64 d) none

122. The next term of the geometric progression x, x2 + 2, x3 + 10 is :

a) 0 b) 54 c)16729

d)72916

123. If

='irrational isx if,-

rationalisif,)(

xxx

xf then

a) f(x) is an odd function b) f(x) is continuous at 21=x

c) f(x) is continuous at x = 0 d) f(x) is a periodic function

124. ∫ +4/3

4/ cos1ππ x

dx is equal to :

a) 2 b) -2 c)21

d)21−

125. Equation of curve passing through (1, 1) and satisfying the differential equation )0y,0x(;xy2

dxdy >>=

is given by :a) x2 = y b) x = y2 c) x = 2y d) y = 2x

126. Let AB be a chord of the circle 222 ryx =+ subtending a right anlge at the centre. Then the locus of thecentroid of the triangle PAB as P moves on the circle isa) a parabola b) a circlec) an ellipse d) a pair of straight lines

127. The coordinates of the foot of the perpendicular from the point (1, 3, 4) upon the plane 2x - y + z + 3= 0 are:a) (1, 1, -4) b) (4, -3, 1)c) (1, -3, -4) d) (-1, 4, 3)

128. If the letter of the word SUCCESS are arranged, then the probability that similar letters occurs togetheris

a) 354

b) 353

c) 351

d) 352

129. The minimum value of the expression sinα+ sinβ + sin γ , where α ,β , γ are real number satisfyingα + β + γ = π is :a) positive b) zero c) negative d) -3

130. Let 3x2,x3x10xx πcos f(x) 32 ≤≤−+++= .The absolute minimum value of f ( x ) isa) 0 b) - 15 c) 3 - 2 π d) none of these

131. The equation (cos p - 1) x2 + (cos p) x + sin p = 0, in the variable x has real roots. Then, p can take anyvalue in the interval :

a) )2,0( π b) )0,( π− c)

ππ−

2,

2 d) ( )π,0




21

132. Sum of the series .....!3

7!2

5!1

31 ++++ is

a) e-1 b) 2e c) 3e d) 5e-7

133. The term independent of a in the expansion of 30

111

−

−

++a

a is

a) 2030 C b) 0 c) 30

15C d) none of these

134. Differential equation for x,sin B x cos αα += Ay where A and B are arbitrary constants is :

a) 0

22

2=− y

xdyd α b) 0

2

2

2=+ y

xdyd α

c) 0 2

2=+ y

xdyd α d) 0

2

2=− y

xdyd α

135. Two masses m1, m2 are connected by a light inextensible string and suspended over a smooth fixedlight pulley. Then :a) pressure on the pully = m1 b) pressure = m2

c) pressure < (m1 + m2) d) pressure > (m1 + m2)

136. If the projection of the vector kji ++ on the vector kjia 2−+ be 31

then a is

a) 7 b) 0 c) 1/2 d) 2137. The equation of a diameter of a circle passing through the origin is x + y = 1 and the greatest distance

of any point of the circle from the diameter is 5 . Then an equation of the circle is

a) 04222 =+−+ yxyx b) 02422 =+−+ yxyx

c) 02422 =−++ yxyx d) 04222 =+++ yxyx

138. ∫=φx

0

3 dx x cos (x) Let . The function (x) φ is

a) monotonic increasing in ] ,0[ π b) monotonic increasing in

2 ,0 π

c) monotonic decreasing in ]2 ,0[ π d) monotonic decreasing in

−

23 ,

2ππ

139. In a right-angled isosceles triangle the ratio of the circumradius and inradius is

a) 1:)12(2 + b) 1:)12( + c) 2 : 1 d) 1:2

140. Let f(x) be a periodic function of the period 1 and 21

21 =

f . Lt ∫ ∈+=

x

0., )( )( Nndxnxfxφ Then

23'φ is equal to

a) 23

b) 21

c) 2 d) 1




22

141. 6

3

- 1

x lim x

xx +

−∞→ is equal to

a) -1 b) 1 c) 0 d) 3

142. If θ sin4,5 θtan = is aa) positive rational number b) negative rational numberc) positive irrational number d) negative irrational number

143. If )( 2f )(2 f and 13xxf(x) 2 αα =+−= , then α is equal to

a) 21

b) 21− c) 2

1 or 2

1− d) none of these

144. If in a triangle ABC, if, a, c and angle A is given and c sin A < a < c, thena) A cos 221 cbb =+ b) A cos 21 cbb =+

c) A cos 321 cbb =+ d) Asin 421 cbb =+

145. [ ]∫ =++++

dx 2)(x log 2)(x1 2

e x

x

a) cxex ++ )2log( b) cxex

++ 2

c) cxex ++ )2( d) cxex +− )2(

146. If two squares are chosen at random on a chess board, the probability that they have a side in commonis

a) 91

b) 72

c) 181

d) none of these

147. =∫ dxx

xcos

a) xcos2 b) xxcos

c) xsin d) xsin2

148. Derivative of

−−

121sec 2

1

x w.r.t 1 3 atx+ 31−=x is

a) 0b) 21

c) 31

d) does not exist

149. If the direction cosines of a straight line are k, k, k, then :

a) k > 0 b) 0 < k < 1 c) k = 1 d) 31

31 −= ork

150. If the coefficient of ,thm )1( +m th and th)2( +m terms in the expansion nx)1( + are in A.P., then

a) 0224)14(42 =−+++ mmn b) 0224)14(2 =++++ mmnn

c) 22)2( +=− nmn d) 22)2( +=+ nmn

151. In a 12-storey house ten people enter a lift cabin. It is known that they will leave the lift in groups of2, 3 and 5 people at different storeys. The number of ways they can do so if the lift does not stop upto the second storey isa) 78 b) 112 c) 720 d) 132




23

152. The domain of the function 22][

1 xxx

−+ is

a) [1, 2] b) [0, 2] c) [0, 1) d) [1, 2)153. The two points on the line x + y = 4 that lie at a unit distance from the line 4x + 3y = 10 are :

a) (-3, 1); (7, 11) b) (3, 1); (-7, 11)c) (3, 1); (7, 11) d) none

154. A man who can swim at the rate of 3 km/hr. in still water wishes to cross the river 1.5 km wide flowingat the rate of 5 km/hr. The direction, to the direction of current, in which he should swim in order toreach the opposite bank as soon as possible is :a) 30o b) 60o c) 90o d) 120o

155. Two students while solving a quadratic equation in x with leading coefficient ‘1’, one copied theconstant term incorectly and got the roots 3 and 2. The other copied the constant term corretly -6. Thecorrect roots area) -2, 3 b) -3, 2 c) -6, -1 d) -1, 6

156. The angle between the asymptotesof 12

2

2

2=−

by

ax is equalt o

a)

−

ab1tan2 b)

−

ab1tan c)

−ba1tan2 d)

−ba1tan

157. The product of the perpendiculars drawn from the two foci of an ellipse to the tangent at any point ofthe ellipse isa) 2a b) 2b c) 24a d) 24b

158. If i = 1− , then 365334

23

i21

323

i21

54

+−+

+−+ is equals to

a) 1 - i 3 b) -1 + i 3 c) i 3 d) -i 3

159. The differential equation of the family of curve y = Ae3x + Be5x, where AB are arbitrary constants is :

a) 0y15dxdy

8dx

yd2

2

=++ b) 0y15dxdy

8dx

yd2

2

=+−

c) 0ydxdy

dx

yd2

2

=+− d) none of these

160. The number of real solutions of 2

)1xx(sin)1x(xtan 211 π=++++ −− is :

a) zero b) one c) two d) infinite161. Two like parallel forces 5N and 15N, act on a light rod at two points A and B respectively, 6m apart.

The resultant forces and the distance of its point of action from the point A are :a) 10N; 4.5 m b) 20 N; 4.5 m c) 20 N; 1.5 m d) 10 N; 1.5 m

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

µ away from O at a

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

a)cµ

b) cµ c)c

µd) none




24

163. The range of

+= − 21

21sin)( xxf is ( ][• denotes greatest integer function)

a)

−

2π,0,

2π

b)π0,2

c)

2π

d) none of these

164. The value of 48πtan2

16πtan ++ is equal to

a) 8πcot b) 16

πcot c) 416πcot − d) none of these

165. If ,1342

A

= 0

45

415

504λAA2 =

−+− then λ is equal to

a) 2 b) 4 c) 8 d) none of these

166. If 01-2sinθ-θsin 2 = is to be satisfied for exactly 4 distinct values of N,nπ],,0[θ ∈∈ n then the leastvalue of n isa) 2 b) 6 c) 4 d) 1

167. The centroid of the triangle whose three sides are given by the combined equation0)1)(27(x 22 =−++ yyxy is

a)

0,

32

b)

32,

37

c)

−

32,

37

d) none of these

168. If the sides of a triangle are given by vectors kjia ˆ2ˆ2ˆ +−= and ,ˆ2ˆˆ2 kjib ++= then the internal bisectoris :

a) kji ˆ4ˆˆ3 +− b) )ˆ4ˆˆ3(31 kji +− c) kji ˆ4ˆˆ3 −+ d) none of these

169. For any three non zero non coplanar vectors b,a and c ))ba2-c()ac2-b()cb2-a( +×++ • is equal to

a) ][3 cba b) ][2 cba c) ][ cba d) none of these

170. India and pakistan play a 5 match test series, the probablity that India is ahead 2-1after 3 matches is

a) 21

b)2

21

c)

3

21

d) none of these

171. An automobile driver travels from plain to a hill station 120 km distant at an aveage speed of 30 kmper hour . He then makes the return trip at an average speed of 25 km per hour .He covers another120 km distance on plane at an average speed of 50 km per hour . His average speed over the entiredistance of 360 km will be

a) km/hr3

502530 ++b) km/hr

2150)25(30 ++

c)km/hr

501

251

301

3

++ d) none of these

172. A particle is moving with a velocity of 30m/sec. The components of the velocity in m/sec at angles30o and 45o in opposite sides to its directions are :

a) 13,13 +− b) 30( 3 1),15( 6 2)− −

c) )13(30),13(30 −+ d) none of them




25

173. A horizontal rod AB is suspended at its ends by two vertical strings. The rod is of length 0.6 meter andweight 3 units. Its centre of gravity G is at a distance 0.4 meter from A. Then the tension of the stringat A, in the same unit is :a) 0.2 b) 1.4 c) 0.8 d) 1.0

174. In a triangle ABC, 3

Bπ=∠ and

4C

π=∠ . Let D divide BC internally in the ratio 1 : 3 then CADsinBADsin

∠∠

equals :

a)6

1b)

31

c)3

1d)

32

175. A sphere is inscribed in a cube of side 2a. If the cube is bounded by the coordinate planes as its threefaces, then the equation of the sphere is

a) 0a2az2ay2axzyx 2222 =+−−−++

b) 0a22az2ay2axzyx 2222 =+−−−++

c) 0aazayaxzyx 2222 =+−−−++

d) 2222 4azyx =++

176. Let ,7π2sin

7π2cosa

+

= i 42 aaaα ++= and ,aβ 653 aa ++= then βα, are the roots of the equation

a) 022 =+− xx b) 022 =−+ xx c) 022 =++ xx d) none of these177. In a third order determinant, each element of the first column consists of sum of two terms, each

element of the second column consists of sumof three terms and each elements of the the third columnconsists of sum of four terms. Then it can be decomposed into n determinants, where n has valuea) 1 b) 9 c) 16 d) 24

178. If c ,b ,a are three non-coplanar unit vectors c is inclined at an angle α to the plane of a and ,b a

and c are equally inclined at an angle β to b . The vector )ac( )cb( )( ×××××ba is equal to :

a) )a-c( cos sin 21 2 βα b) )a-c( cos sin

21 2 αβ

c) )a-c( 2sin sin 21 βα d) )a-c( sin 2sin

21 βα

179. Let AB be a chord of the parabola .4y2 ax= If the pole of AB with respect to the parabola be (2a, 3a)then the length of AB is

a) a 13 b) 4a c) 5a d) a 132

180. The ratio of the areas between the curves y = cos x and y = cos 2 x and x - axis from x = 0 to 3π=x is

a) 1 : 2 b) 2 : 1 c) 1 : 3 d) none of these

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