Page # 1

JEE Main 2014 (AIEEE)

Answer Key Code

Q. No. Q. No. Q. No. Q. No. Q. No. Q. No.Ans Ans Ans Ans Ans Ans

JEE (ADVANCED) 2014

JEE (ADVANCED) 2014

CRASH COURSE

BANSAL'S FINAL STEP PACKAGE

for

for

Starting from to9th April 20th May 2014

Direct Admission 080030-45222, 080030-46222

Pos ta l

C ou rs e

BANSAL'SFINALSTEPTOWARDS

JEE ADVANCED

10 Mock TestPapers

with solution

Po sta l

Cou rs e

BANSAL'S FINAL STEP TOWARDS

JEE ADVANCED

Question

Bank

PHYSICS

P os ta l

C ou rs e

BANSAL'S FINAL STEP TOWARDS

JEE ADVANCED

Question

Bank

CHEMISTRY

Pos ta l

C ou rs e

BANSAL'SFINALSTEP TOWARDS

JEE ADVANCED

Question

Bank

MATHEMATICS

upto

100%Scholarship

A Package of 10 Mock Tests Based on JEE Advanced Pattern With Solutions & Question Bank for PHYSICS, CHEMISTRY, MATHEMATICS

for more details visit us: www.bansal.ac.in

080037-70333

F

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

4

4

4

1

3

1

4

1

2

2

1

4

3

3

2

4

1

4

1

3

3

1

2

2

4

4

1

4

3

1

1

2

2

1

3

2

3

2

4

2

1

1

3

3

2

1

1

1

4

4

1

1

1

4

4

1

4

2

3

1

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

61

62

63

64

65

66

67

68

69

70

71

72

73

74

75

4

2

1

2

2

1

1

4

2

1

3

4

2

3

4

76

77

78

79

80

81

82

83

84

85

86

87

88

89

90

3

2

2

3

2

1

4

4

3

NA

1

2

2

2

2

Page # 2

PART-A : CHEMISTRYQ.1 Consider separate solutions of 0.500 M

C2H5OH(aq), 0.100 M Mg3(PO4)2(aq),0.250 M KBr(aq) and 0.125 M Na3PO4(aq)at 25°C. Which statement is true about thesesolutions, assuming all salts to be strongelectrolytes?(1) 0.100 M Mg3(PO4)2(aq) has the highestosmotic pressure.(2) 0.125 M Na3PO4(aq) has the highestosmotic pressure.(3) 0.500 M C2H5OH(aq) has the highestosmotic pressure.(4) Theyall have the same osmotic pressure.

Ans. [4]

Q.2 Whichoneof the followingbases isnotpresentin DNA?(1)Adenine (2) Cytosine(3)Thymine (4)Quinoline

Ans. [4]

Q.3 Considering the basic strength of amines inaqueous solution, which one has the smallestpkb value?(1) CH3NH2 (2) (CH3)3N(3) C6H5NH2 (4) (CH3)2NH

Ans. [4]

Q.4 The metal that cannot be obtained byelectrolysis of an aqueous solution of its saltsis:(1) Ca (2) Cu(3) Cr (4)Ag

Ans. [1]

Q.5 On heating an aliphatic primary amine withchloroformandethanolicpotassiumhydroxide,the organic compound formed is :(1) an alkanediol(2) an alkyl cyanide(3) an alkyl isocyanide(4) an alkanol

Ans. [3]

Q.6 For the equation

)g(2)g(2 O2

1SO )'g(3SO

if KP = KC(RT)x where thesymbols have usualmeaning then the value of x is(assumingideality)

(1)2

1(2)

2

1

(3) 1 (4) – 1Ans. [1]

Q.7 Given below are the half - cell reactions:Mn2+ + 2e– Mn; Eo = – 1.18 V2 (Mn3+ + e– Mn2+) ; Eo = +1.51 VThe Eo for 3Mn2+Mn + 2Mn3+ will be(1) – 2.69 V; the reaction will occur(2) – 0.33 V; the reaction will not occur(3) – 0.33 V; the reaction will occur(4) – 2.69 V; the reaction will not occur

Ans. [4]

Q.8 If Z is a compressibility factor, van der Waalsequation at low pressure can be written as

(1) Z = 1 –VRT

a

(2) Z = 1 –RT

Pb

(3) Z = 1 +RT

Pb

(4) Z = 1 +Pb

RT

Ans. [1]

Q.9 In the reaction,

CH3COOH 4LiAlH A 5PCl B

KOHAlc C

the product C is :(1)Acetylene(2) Ethylene(3)Acetyl chloride(4)Acetaldehyde

Ans. [2]

Code-F

Page # 3

Q.10 Among the following oxoacids , the correctdecreasing order of acid strength is :(1) HClO4 > HOCl > HClO2 > HClO3(2) HClO4 > HClO3 > HClO2 > HOCl(3) HClO2 > HClO4 > HClO3 > HOCl(4) HOCl > HClO2 > HClO3 > HOCl4

Ans. [2]

Q.11 The ratio of masses of oxygen and nitrogen ina particular gaseous mixture is 1 : 4. The ratioof number of their molecule is(1) 7 : 32(2) 1 : 8(3) 3 : 16(4) 1 : 4

Ans. [1]

Q.12 Which one of the following properties is notshown by NO?(1) It is a neutral oxide(2) It combines with oxygen to form nitrogendioxide(3) It's bond order is 2.5(4) It is diamagnetic in gaseous state

Ans. [4]

Q.13 Which series of reactions correctly representschemical relations related to iron and itscompound ?

(1) Fe heat,O2 FeO 42SOHdil

FeSO4 heat Fe

(2) Fe heat,Cl2 FeCl3 air,heat FeCl2

Zn Fe

(3) Fe heat,O2 Fe3O4 C600,CO FeO

C700,CO Fe

(4) Fe 42SOHdil FeSO4 242 O,SOH

Fe2(SO4)3 heat Fe

Ans. [3]

Q.14 Forwhichof thefollowingmoleculesignificantµ 0?

(a)

Cl

Cl

(b)

CN

CN

(c)

OH

OH

(d)

SH

SH

(1) (a) an (b)(2) only (c)(3) (c) and (d)(4) only (a)

Ans. [3]

Q.15 CsCl crystallises in bodycentred cubic lattice.If 'a' isitsedgelengththenwhichofthefollowingexpression is correct?

(1)2

a3rrClCs

(2)2

a3rrClCs

(3) a3rrClCs

(4) ClCsrr = 3a

Ans. [2]

Q.16 Which one is classified as a condensationpolymer?(1) Neoprene(2)Teflon(3)Acrylonitrile(4) Dacron

Ans. [4]

Page # 4

Q.17 For the estimation of nitrogen, 1.4g of anorganic compound was digested by Kjeldahlmethod and the evolved ammonia was

absorbed in 60 mL of10

Msulphuric acid. The

unreacted acid required 20 mL of10

Msodium

hydroxide for complete neutralization. Thepercentage of nitrogen in the compound is(1) 10% (2) 3%(3) 5% (4) 6%

Ans. [1]

Q.18 For complete combustion of ethanolC2H5OH(l) + 3O2(g) 2CO2(g) + 3H2O(l),the amount of heat produced as measured inbomb calorimeter, is 1364.47 kJ mol–1 at25°C. Assuming ideality the Enthalpy ofcombustion,CH, for the reaction will be(R = 8.314 kJ mol–1)(1) – 1361.95 kJ mol–1

(2) – 1460.50 kJ mol–1

(3) – 1350.50 kJ mol–1

(4) – 1366.95 kJ mol–1

Ans. [4]

Q.19 The octahedral complex of a metal ion M3+

with four monodentate ligands L1, L2, L3 andL4 absorb wavelengths in the region of red,green, yellow and blue, respectively. Theincreasing order of ligand strength of the fourligands is :(1) L1 < L3 < L2 < L4(2) L3 < L2 < L4 < L1(3) L1 < L2 < L4 < L3(4) L4 < L3 < L2 < L1

Ans. [1]

Q.20 The most suitable reagent for the conversionof R–CH2 – OH R – CHO is :(1) K2Cr2O7(2) CrO3(3) PCC (Pyridinium Chlorochromate)(4) KMnO4

Ans. [3]

Q.21 In which of the following reactions H2O2 actsas a reducing agent?(a) H2O2 + 2H+ + 2e– 2H2O(b) H2O2 – 2e– O2 + 2H+

(c) H2O2 + 2e– 2OH–

(d) H2O2 + 2OH– – 2e– O2 + 2H2O(1) (c), (d) (2) (a) , (c)(3) (b), (d) (4) (a), (b)

Ans. [3]

Q.22 The correct statement for the molecule, CsI3is :(1) it contains Cs+ and I3

– ions.(2) it contains Cs3+ and I– ions.(3) it contains Cs+ , I– and lattice I2 molecule(4) it is a covalent molecule

Ans. [1]

Q.23 The major organic compound formed by thereaction of 1,1,1–trichloroethane with silverpowder is :(1) Ethene(2) 2 – Butyne(3) 2 – Butene(4)Acetylene

Ans. [2]

Q.24 The equivalent conductance of NaCl atconcentration C and at infinite dilution areCand, respectively. The correct relationshipbetween C and is given as(where the constant B is positive)(1) C = – (B) C

(2) C = – (B) C

(3) C = + (B) C

(4) C = + (B) CAns. [2]

Q.25 Resistance of 0.2 M solution of an electrolyteis50.Thespecificconductanceof thesolutionis 1.4 S m–1. The resistance of 0.5 M solutionof the same electrolyte is 280 . The molarconductivityof0.5Msolutionof theelectrolytein S m2 mol–1 is(1) 5 × 10–3 (2) 5 × 103

(3) 5 × 102 (4) 5 × 10–4

Ans. [4]

Page # 5

Q.26 Sodium phenoxide when heated with CO2under pressure at 125°C yields a productwhich on acetylation produces C.

ONa+ CO2

125°5 atm

BH+

Ac O2

C

The major product C would be :

(1)

OH

COCH3

COCH3

(2)

OH

COOCH3

(3)

OCOCH3

COOH

(4)

OCOCH3

COOH

Ans. [4]

Q.27 The equation which is balanced and representsthe correct product(s) is :(1) [CoCl(NH3)5]

+ + 5H+ Co2+ + 5NH4+

+ Cl–

(2) [Mg(H2O6)]2+ + (EDTA)4–

NaOHexcess [Mg(EDTA)]2+ + 6H2O

(3) CuSO4 + 4KCN K2[Cu(CN)4] +K2SO4(4) Li2O + 2KCl 2LiCl + K2O

Ans. [1]

Q.28 The correct set four quantum numbers for thevalence electrons of rubidium atom (Z = 37)is :

(1) 5, 1, 0, +2

1(2) 5, 1, 1, +

2

1

(3) 5, 0, 1, +2

1(4) 5, 0, 0, +

2

1

Ans. [4]

Q.29 For the non-stoichiometre reaction2A + BC + D, the following kinetic datawere obtained in three separate experiments,all at 298 K.

3

3

3

104.2M1.0M2.0

102.1M2.0M1.0

102.1M1.0M1.0

)SLmol(

CofformationofrateInitial

)B(ionConcentrat

Initial

)A(ionConcentrat

Initial

The rate law for the formation of C is

(1)dt

dc= k [A]2 [B]

(2)dt

dc= k [A] [B]2

(3)dt

dc= k[A]

(4)dt

dc= k[A] [B]

Ans. [3]

Q.30 In SN2 reactions, the correct order of reactivityfor the followingcompounds :CH3Cl, CH3CH2Cl, (CH3)2 CHCl and(CH3)3CCl is :(1) CH3Cl > CH3CH2Cl > (CH3)2CHCl >(CH3)3 CCl(2) CH3CH2Cl > CH3Cl > (CH3)2 CHCl >(CH3)3CCl(3) (CH3)2CHCl > CH3CH2Cl > CH3Cl >(CH3)3CCl(4) CH3Cl > (CH3)2 CHCl > CH3CH2Cl >(CH3)3CCl

Ans. [1]

Page # 6

PART-B : MATHEMATICS

Q.31 2

2

0x x

)xcos(sinLim

is equal to

(1) (2)2

(3) 1 (4) – Ans. [1]

Q.32 Let thepopulation of rabbits survivingat a timet be governed by the differential equation

dt

)t(dp=

2

1p(t) – 200.

If p(0) = 100, then p(t) equals

(1) 400 – 300 2

t

e

(2) 400 – 300 2

t

e

(3) 300 – 200 2

t

e

(4) 600 – 500 2

t

e

Ans. [2]

Q.33 The statement ~ (p ~ q) is(1) a fallacy(2) equivalent to p q(3) equivalent to ~ p q(4) a tautology

Ans. [2]

Q.34 Let and be the roots of equationpx2 + qx + r = 0, p 0. If p, q, r are in A.P.

and

11= 4, then the value of | – | is

(1)9

132(2)

9

61

(3)9

172(4)

9

34

Ans. [1]

Q.35 Let PS be the median of the triangle withvertices P(2, 2), Q(6, – 1) and R (7, 3).The equation of the line passing through(1, – 1) and parallel to PS is(1) 2x – 9y – 11 = 0(2) 4x – 7y – 11 = 0(3) 2x + 9y + 7 = 0(4) 4x + 7y + 3 = 0

Ans. [3]

Q.36 The area of the region described byA = {(x, y) : x2 + y2 1 and y2 1 – x} is

(1)3

2

2

(2)

3

4

2

(3)3

4

2

(4)

3

2

2

Ans. [2]

Q.37 IfAis an 3 × 3 non-singular matrix such thatAA' = A'Aand B = A–1A', then BB' equals(1) (B–1)' (2) I + B(3) I (4) B–1

Ans. [3]

Q.38 The imageof the line

5

4z

1

3y

3

1x

in the plane

2x – y + z + 3 = 0 is the line

(1)5

2z

1

5y

3

3x

(2)5

2z

1

5y

3

3x

(3)5

2z

1

5y

3

3x

(4)5

2z

1

5y

3

3x

Ans. [2]

Page # 7

Q.39 If x = – 1 and x = 2 are extreme points off(x) = log | x | + x2 + x, then

(1) = 2, =2

1

(2) = – 6, =2

1

(3) = – 6, =2

1

(4) = 2, =2

1

Ans. [4]

Q.40 If aR and the equation– 3(x – [x])2 + 2 (x – [x]) + a2 = 0(where [x] denotes the greatest integer x)hasnointegral solution, thenallpossiblevaluesof a lie in the interval(1) (– , – 2) (2, )(2) (– 1, 0) (0, 1)(3) (1, 2)(4) (– 2, – 1)

Ans. [2]

Q.41 Let C be the circle with centre at (1, 1) andradius = 1. If T is the circle centred at (0, y)passing through origin and touching the circleC externally, then the radius of T is equal to

(1)4

1(2)

2

3

(3)2

3(4)

2

1

Ans. [1]

Q.42 If thecoefficientsof x3 and x4 in theexpansionof (1 + ax + bx2) (1 – 2x)18 in powers of xare both zero, then (a, b) is equal to

(1)

3

272,16 (2)

3

251,16

(3)

3

251,14 (4)

3

272,14

Ans. [1]

Q.43 If z is complex number such that | z | 2,

then the minimum value of2

1z

(1) is strictly greater than2

3but less than

2

5

(2) is equal to2

5

(3) lies in the interval (1, 2)

(4) is strictlygreater than2

5

Ans. [3]

Q.44 The integral

dxe

x

1x1 x

1x

is equal to

(1) – x

x

1x

e + C

(2) (x – 1)

x

1x

e + C

(3) x

x

1x

e + C

(4) (x + 1)

x

1x

e + C

Ans. [3]

Q.45 The slope of the line touching both theparabolas y2 = 4x and x2 = – 32y is

(1)3

2(2)

2

1

(3)2

3(4)

8

1

Ans. [2]

Q.46 Let fk (x) = )xcosx(sink

1 kk where xR

and k 1. Then f4(x) – f6(x) equals

(1)12

1(2)

6

1

(3)3

1(4)

4

1

Ans. [1]

Page # 8

Q.47 A bird is sitting on the top of a vertical pole20 m high and its elevation from the point Oon the ground is 45°. It flies off horizontallystraight away from the point O. After onesecond, the elevation of the bird from O isreduced to 30°. Then the speed (in m/s) of thebird is

(1) 1320

(2) 1240

(3) 2340

(4) 220

Ans. [1]

Q.48 If 2]cba[accbba

then is

equal to(1) 1(2) 2(3) 3(4) 0

Ans. [1]

Q.49 Let A and B be two events such that

6

1BAP ,

4

1BAP and

4

1)A(P , where A stands for the

complement of the eventA.Then the eventsAand B are(1) independent and equally likely(2) mutuallyexclusive and independent(3) equally likelybut not independent(4) independent but not equally likely

Ans. [4]

Q.50 The locus of the foot of perpendicular drawnfrom the centre of the ellipse x2 + 3y2 = 6 onany tangent to it is(1) (x2 + y2)2 = 6x2 – 2y2

(2) (x2 – y2)2 = 6x2 + 2y2

(3) (x2 – y2)2 = 6x2 – 2y2

(4) (x2 + y2)2 = 6x2 + 2y2

Ans. [4]

Q.51 If f and g are differentiable functions in [0, 1]satisfying f (0) = 2 = g (1), g(0) = 0 andf (1) = 6, then for some c ] 0, 1 [(1) f ' (c) = 2 g ' (c) (2) 2 f ' (c) = g ' (c)(3) 2 f ' (c) = 3 g ' (c) (4) f ' (c) = g ' (c)

Ans. [1]

Q.52 Threepositivenumbers forman increasingG.P.If the middle term in this G.P. is doubled, thenewnumbersare inA.P.Thenthecommonratioof the G.P. is

(1) 32 (2) 32

(3) 23 (4) 32

Ans. [1]

Q.53 If g is the inverse of a function f and

f ' (x) = 5x1

1

, then g ' (x) is equal to

(1) 1 + {g(x)}5 (2) 1 + x5

(3) 5x4 (4) 5)}x(g{1

1

Ans. [1]

Q.54 Let a, b, c and d be non-zero numbers. If thepoint of intersection of the lines4ax + 2ay + c = 0 and 5bx + 2by + d = 0 liesin the fourth quadrant and is equidistant fromthe two axes then(1) 3bc + 2ad = 0 (2) 2bc – 3ad = 0(3) 2bc + 3ad = 0 (4) 3bc – 2ad = 0

Ans. [4]

Q.55 If , 0, and f (n) = n + n and

)4(f1)3(f1)2(f1)3(f1)2(f1)1(f1)2(f1)1(f13

= K(1 – )2 (1 – )2 ( – )2 ,then K is equal to(1) – 1 (2)

(3)

1(4) 1

Ans. [4]

Page # 9

Q.56 The integral

0

2 dx2

xsin4

2

xsin41

equals

(1)3

434

(2) – 4

(3) 3443

2

(4) 434

Ans. [1]

Q.57 If (10)9 + 2(11)1(10)8 + 3(11)2(10)7 +............. + 10(11)9 = k (10)9, then k is equalto

(1) 110 (2)10

121

(3)100

441(4) 100

Ans. [4]

Q.58 The angle between the lines whose directioncosines satisfy the equations l + m + n = 0 andl2 = m2 + n2 is

(1)2

(2)

3

(3)4

(4)

6

Ans. [2]Q.59 The variance of first 50 even natural numbers

is

(1)4

437(2)

4

833

(3) 833 (4) 437Ans. [3]

Q.60 If X = {4n – 3n – 1 : n N}} andY = {9(n – 1) : nN}, where N is the set ofnatural numbers, then XYis equal to(1) Y (2) N(3) Y – X (4) X

Ans. [1]

PART-C : PHYSICSQ.61 The pressure that has to be applied to the ends

ofasteel wire of length10 cmto keep its lengthconstant when its temperature is raised by100°C is :(For steel Young's modulus is 2 × 1011 Nm–2

and coefficient of thermal expansion is 1.1 ×10–5 K–1)(1) 2.2 × 109 Pa (2) 2.2 × 107 Pa(3) 2.2 × 106 Pa (4) 2.2 × 108 Pa

Ans. [4]

Q.62 In the circuit shown here, the point 'C' is keptconnected to point 'A' till the current flowingthrough the circuit becomes constant.Afterward, suddenly, point 'C' is disconnectedfrom point 'A' and connected to point 'B' attime t =0.Ratioof thevoltageacross resistanceand the inductor at t = L/R will be equal to :

B

A RC

L

(1) 1 (2) –1

(3)e

e1(4)

e1

e

Ans. [2]

Q.63 Theradiationcorrespondingto32 transitionof hydrogen atom falls on a metal surface toproduce photoelectrons. These electrons aremade to enter a magnetic field of 3 × 10–4 T. Ifthe radius of the largest circular path followedby these electrons is 10.0 mm, the workfunction of the metal is close to :(1) 1.1 eV (2) 0.8 eV(3) 1.6 eV (4) 1.8 eV

Ans. [1]

Page # 10

Q.64 There is a circular tube in avertical plane.Twoliquids which do not mix and of densities d1andd2 arefilledin thetube.Eachliquidsubtends90°angleatcentre.Radius joiningtheir interface

makes an anglewith vertical. Ratio2

1

d

dis:

d2

d1

(1)

cos1

cos1(2)

tan1

tan1

(3)

cos1

sin1(4)

sin1

sin1

Ans. [2]

Q.65 A bob of mass m attached to an inextensiblestring of length is suspended from a verticalsupport. The bob rotates in a horizontal circlewith an angular speed rad/s about thevertical.About the point of suspension:(1) angular momentum changes in magnitudebut not in direction.(2)angularmomentumchanges indirectionbutnot inmagnitude.(3)angularmomentumchangesbothindirectionand magnitude.(4) angular momentum is conserved.

Ans. [2]

Q.66 A thin convex lens made from crown glass

2

3µ has focal length f. When it is

measured in two different liquids having

refractive indices3

4and

3

5, it has the focal

lengths f1 and f2 respectively. The correctrelation between the focal length is :(1) f1 > f and f2 becomes negative(2) f2 > f and f1 becomes negative(3) f1 and f2 both become negative(4) f1 = f2 < f

Ans. [1]

Q.67 A green light is incident from the water to theair-water interface at the critical angle ().Select the correct statement.(1) The spectrum of visible light whosefrequency is less than that of green light willcome out to the air medium.(2) The spectrum of visible light whosefrequency is more than that of green light willcome out to the air medium.(3)Theentirespectrumofvisiblelightwillcomeoutof thewater at various angles to the normal.(4)Theentirespectrumofvisiblelightwillcomeoutof thewaterat anangleof90° to thenormal.

Ans. [1]Note: The question is wrong because green light

will not give any spectrum.Answeris givenassuming incident light to be white.

Q.68 A block of mass m is placed on a surface with

a vertical cross-section given by y =6

x3

. If

the coefficient of friction is 0.5, the maximumheightabove theground at which the block canbe placedwithout slipping is:

(1)3

2m (2)

3

1m

(3)2

1m (4)

6

1m

Ans. [4]

Q.69 The coercivity of small magnet where theferromagnet gets demagnetized is3 × 103 Am–1. The current required to bepassed in a solenoid of length 10 cm andnumber of turns 100, so that the magnet getsdemagnetized when inside the solenoid, is:(1) 60 mA (2) 3 A(3) 6 A (4) 30 mA

Ans. [2]

Page # 11

Q.70 A conductor lies along the z-axis at –1.5 z <1.5 m and carries a fixed current of 10.0Ain

za direction (see figure). For a field

B

= 3.0 × 10–4 e–0.2xya T, find the power

required to move the conductor at constantspeed to x = 2.0 m, y = 0 m in 5 × 10–3 s.Asuume parallel motion along the x-axis.

x2.0

–1.5

1.5

z

yB

I

(1) 2.97 W (2) 14.85 W(3) 29.7 W (4) 1.57 W

Ans. [1]

Q.71 Two beams,Aand B, of plane polarized lightwith mutually perpendicular planes ofpolarization are seen through a polaroid. Fromthe position when the beamAhas maximumintensity (and beam B has zero intensity), arotation ofpolaroid through 30° makes the twobeams appear equally bright. If the initialintensities of the two beams are IA and IB

respectively, thenB

A

I

Iequals:

(1)2

3(2) 1

(3)3

1(4) 3

Ans. [3]

Q.72 The forward biased diode connection is :

(1) –3V –3V

(2) 2V 4V

(3) –2V +2V

(4) +2V –2V

Ans. [4]

Q.73 Assumethat anelectric field ix30E 2

exists

in space. Then the potential difference VA –VO, is the potential at the origin and VA thepotential at x = 2 m is :(1) –120 J (2) –80 J(3) 80 J (4) 120 J

Ans. [2]Note: The question is wrong because the unit of

potential difference is volt.

Q.74 MatchList-I (Electromagneticwave type) withList-II (Its association/application) and selectthecorrectoption fromthechoicesgivenbelowthe listsList-I List-II(a) Infrared waves (i) To treat muscular

strain(b) Radio waves (ii) For broadcasting(c) X-rays (iii) To detect fracture

of bones(d) Ultraviolet rays (iv)Absorbed by the

ozone layer of theatmosphere

a b c d(1) (i) (ii) (iv) (iii)(2) (iii) (ii) (i) (iv)(3) (i) (ii) (iii) (iv)(4) (iv) (iii) (ii) (i)

Ans. [3]

Q.75 The current voltage relation of diode is givenby I = (e1000/T – 1) mA, where the appliedvoltage V is in volts and the temperature T is indegree kelvin. If a student makes an errormeasuring±0.01Vwhilemeasuringthecurrentof 5mA at 300K, what will be the error in thevalue of current in mA?(1) 0.02 mA (2) 0.5 mA(3) 0.05 mA (4) 0.2 mA

Ans. [4]

Page # 12

Q.76 One mole of diatomic ideal gas undergoes acyclic processABC as shown in figure. Theprocess BC is adiabatic. The temperature atA, B and C are 400K, 800K and 600Krespectively. Choose the correct statements :

800K

600K

400K

P

B

CA

V

(1)Thechange in internal energyin theprocessCA is 700 R(2)Thechange in internal energyin theprocessAB is –350 R(3)Thechange in internal energyin theprocessBC is –500 R(4)Thechangein internalenergyinwholecyclicprocess is 250 R

Ans. [3]

Q.77 A pipe of length 85 cm is closed from one end.Find thenumberofpossiblenaturaloscillationsof aircolumn in the pipe whose frequencies liebelow 1250 Hz. The velocityof sound in air is350 m/s.(1) 8 (2) 6(3) 4 (4) 12

Ans. [2]

Q.78 I a large building, there are 15 bulbs of 40W, 5bulbs of 100W, 5 fans of 80W and 1 heater of1kW.Thevoltageof theelectricmains is 220V.The minimum capacityof the main fuse of thebuildingwillbe(1) 10 A (2) 12 A(3) 14 A (4) 8A

Ans. [2]

Q.79 Four particles, each of mass M and equidistantfrom each other, move along a circle of radiusR under the action of their mutual gravitationattraction. The speed of each particle is

(1)2

GM22

(2) )221(2

GM

(3) )221(2

GM

2

1

(4)R

GM

Ans. [3]

Q.80 From a tower of height H, a particle is thrownvertically upwards with a speed u. The timetaken by the particle, to hit the ground, is ntimes that taken byit to reach the highest pointof its path. The relation between H, u and n is(1) g H = (n – 2)2u2

(2) 2g H = nu2(n – 2)(3) g H = (n – 2)u2

(4) 2 g H = n2u2

Ans. [2]

Q.81 A student measured the length of a rod andwrote it as 3.50 cm. Which instrument did heuse to measure it ?(1)Avernier calliper where the 10 divisions invernier scale matches with 9 division in mainscale and main scale has 10 divisions in 1 cm.(2)Ascrew gauge having 100 divisions in thecircular scale and pitch as 1mm.(3) A screw gauge having 50 division in thecircular scale and pitch as 1mm(4)Ameter scale.

Ans. [1]

Page # 13

Q.82 Aparallelplatecapacityismadeof twocircularplates separatedbya distance of5mmand witha dielectric of dielectric constant 2.2 betweenthem. When the electric field in the dielectric is3 × 104 V/m, the charge densityof the positiveplate will be close to(1) 3 × 10–7 C/m2 (2) 3 × 104 C/m2

(3) 6 × 104 C/m2 (4) 6 × 10–7 C/m2

Ans. [4]

Q.83 An open glass tube is immersed in mercury insuch a waythat a length of 8 cm extends abovethe mercury level. The open end of the tube isthen closed and sealed and the tube is raisedverticallyupbyadditional 46 cm.What will bethe length of the air column above mercury inthe tube now ?(Atmospheric pressure = 76 cm of Hg)(1) 22 cm (2) 38 cm(3) 6 cm (4) 16 cm

Ans. [4]

Q.84 Aparticlemoveswithsimpleharmonicmotionin a straight line. In first s, after starting fromrest it travels a distance a, and in next s ittravels 2a, in same direction, then(1) time period of oscillation is 8(2) amplitude of motion is 4a(3) time period of oscillation is 6(4) amplitude of motion is 3a

Ans. [3]

Q.85 On heatingwater, bubbles being formed at thebottom of the vessel detache and rise. Takethe bubbles to be sphere of radius R andmaking a circular contact of radius r with thebottom of the vessel. If r << R, and the surfacetension of water is T, value of r just beforebubbles detach is :(density of water isw)

R

2r

(1)T6

gR w2

(2)T

gR w2

(3)T

g3R w2

(4)T3

gR w2

Ans. None of these, Ans. isT3

g2R w2

Q.86 A mass 'm' is supported by a massless stringwound around a uniform hollow cylinder ofmass m and radius R. If the stringdoes not slipon the cylinder, with what accelerationwill themass fall on release ?

Rm

m

(1)2

g(2)

6

g5

(3) g (4)3

g2

Ans. [1]

Q.87 During the propagation of electromagneticwaves in a medium :(1) Electric energy density is half of themagnetic energydensity(2) Electric energy density is equal to themagnetic energydensity(3) Both electricand magnetic energydensitiesare zero(4) Electric energy density is double of themagnetic energydensity

Ans. [2]

Page # 14

Q.88 Three rods of Copper, Brass and Steel arewelded together to form aY-shaped structure.Area of cross-section of each rod = 4 cm2.End of copper rod is maintained at 100ºCwhere as ends of brass and steel are kept at0°C. Length of the copper, brass and steelrods are 46, 13 and 12 cms respectively. Therods are thermallyinsulated from surroundingsexcept at ends. Thermal conductivities ofcopper, brass and steel are 0.92, 0.26 and0.12CGS units respectively. Rate of heat flowthrough copper rod is(1) 2.4 cal/s (2) 4.8 cal/s(3) 6.0 cal/s (4) 1.2 cal/s

Ans. [2]Note: The answer is wrong because the answer

is 4.8 erg/s.

Q.89 Hydrogen (1H1), Deuterium (1H

2), singlyionised Helium (2He4)+ and doubly ionisedlithium (3Li6)++ all have one electron aroundthenucleus.Consideranelectrontransitionfromn = 2 to n = 1. If the wave lengths of emittedradiation are 1, 2, 3 and 4 respectivelythen approximatelywhichone of the followingis correct ?(1) 1 = 22 = 23 = 4(2) 1 = 2 = 43 = 94(3) 1 = 22 = 33 = 44(4) 41 = 22 = 23 = 4

Ans. [2]

Q.90 When a rubber-band is stretched bya distancex, it exerts a restoring force of magnitude F =ax + bx2 where a and b are constants. Theworkdone instretching theunstretched rubber-band by L is

(1)2

1(aL2 + bL3) (2)

3

bL

2

aL 32

(3)2

1

3

bL

2

aL 32

(4) aL2 + bL3

Ans. [2]