jmt-2-code-0-08-12-2013-paper

27
IMPORTANT INSTRUCTIONS 1. Immediately fill the particulars on this page of the Test Booklet with Blue / Black Ball Point Pen. Use of pencil is strictly prohibited. 2. The Answer Sheet is kept inside this Test Booklet. When you are directed to open the Test Booklet, take out the Answer Sheet and fill in the particulars carefully. 3. The test is of 3 hours duration. 4. The Test Booklet consists of 90 questions. The maximum marks are 288. 5. There are three parts in the question paper A, B, C consisting of Mathematics, Physics and Chemistry having 30 questions. Each part consists of Two sections. 6. For each question in Section 1, you will be awarded 3 marks if you darken all the bubble(s) corresponding to only the correct answer(s) and zero mark if no bubbles are darkened. No negative marks will be awarded for incorrect answers in this section. For each question in Section 2 , you will be awarded 4 marks if you darken the bubble corresponding to only the correct answer and zero mark if no bubbles are darkened. In all other cases, (1) marks will be awarded. 7. There is only one correct response for each question. Filling up more than one response in any question will be treated as wrong response and marks for wrong response will be deducted accordingly as per instructions 6 above. Filling the Top-half of the ORS : Use only Black ball point pen only for filling the ORS. Do not use Gel / Ink / Felt pen as it might smudge the ORS. 8. Write your Roll no. in the boxes given at the top left corner of your ORS with black ball point pen. Also, darken the corresponding bubbles with Black ball point pen only. Also fill your roll no on the back side of your ORS in the space provided (if the ORS is both side printed). 9. Fill your Paper Code as mentioned on the Test Paper and darken the corresponding bubble with Black ball point pen. 10. If student does not fill his/her roll no. and paper code correctly and properly, then his/her marks will not be displayed and 5 marks will be deducted (paper wise) from the total. 11. Since it is not possible to erase and correct pen filled bubble, you are advised to be extremely careful while darken the bubble corresponding to your answer. 12. Neither try to erase / rub / scratch the option nor make the Cross (X) mark on the option once filled. Do not scribble, smudge, cut, tear, or wrinkle the ORS. Do not put any stray marks or whitener anywhere on the ORS. 13. If there is any discrepancy between the written data and the bubbled data in your ORS, the bubbled data will be taken as final. Date : 08-12-2013 Duration : 3 Hours Max. Marks : 288 JEE MAIN TEST-2 (JMT-2) TARGET : JEE (MAIN+ADVANCED) 2014 0 CODE Please read the instructions carefully. You are allotted 5 minutes specifically for this purpose. DO NOT BREAK THE SEALS WITHOUT BEING INSTRUCTED TO DO SO BY THE INVIGILATOR Name of the Candidate Roll Number I have read all the instructions and shall abide by them. -------------------------------- Signature of the Invigilator I have verified all the information filled in by the Candidate. -------------------------------- Signature of the Candidate COURSE : VIJETA (JP) REVISION TEST

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Page 1: JMT-2-Code-0-08-12-2013-Paper

IMPORTANT INSTRUCTIONS1. Immediately fill the particulars on this page of the Test Booklet with Blue / Black Ball Point Pen.

Use of pencil is strictly prohibited.

2. The Answer Sheet is kept inside this Test Booklet. When you are directed to open the TestBooklet, take out the Answer Sheet and fill in the particulars carefully.

3. The test is of 3 hours duration.

4. The Test Booklet consists of 90 questions. The maximum marks are 288.

5. There are three parts in the question paper A, B, C consisting of Mathematics, Physics and Chemistryhaving 30 questions. Each part consists of Two sections.

6. For each question in Section 1, you will be awarded 3 marks if you darken all the bubble(s)corresponding to only the correct answer(s) and zero mark if no bubbles are darkened. No negativemarks will be awarded for incorrect answers in this section.

For each question in Section 2 , you will be awarded 4 marks if you darken the bubble correspondingto only the correct answer and zero mark if no bubbles are darkened. In all other cases, (�1) markswill be awarded.

7. There is only one correct response for each question. Filling up more than one response in anyquestion will be treated as wrong response and marks for wrong response will be deducted accordinglyas per instructions 6 above.

Filling the Top-half of the ORS :Use only Black ball point pen only for filling the ORS. Do not use Gel / Ink / Felt pen as it might smudge theORS.

8. Write your Roll no. in the boxes given at the top left corner of your ORS with black ball point pen. Also, darkenthe corresponding bubbles with Black ball point pen only. Also fill your roll no on the back side of your ORSin the space provided (if the ORS is both side printed).

9. Fill your Paper Code as mentioned on the Test Paper and darken the corresponding bubble with Black ballpoint pen.

10. If student does not fill his/her roll no. and paper code correctly and properly, then his/her marks will not bedisplayed and 5 marks will be deducted (paper wise) from the total.

11. Since it is not possible to erase and correct pen filled bubble, you are advised to be extremely careful whiledarken the bubble corresponding to your answer.

12. Neither try to erase / rub / scratch the option nor make the Cross (X) mark on the option once filled. Do notscribble, smudge, cut, tear, or wrinkle the ORS. Do not put any stray marks or whitener anywhere on theORS.

13. If there is any discrepancy between the written data and the bubbled data in your ORS, the bubbled data willbe taken as final.

Date : 08-12-2013 Duration : 3 Hours Max. Marks : 288

JEE MAIN TEST-2 (JMT-2)TARGET : JEE (MAIN+ADVANCED) 2014 0

CODE

Please read the instructions carefully. You are allotted 5 minutes specifically for this purpose.

DO

NO

T B

RE

AK

TH

E S

EA

LS

WIT

HO

UT

BE

ING

INS

TR

UC

TE

D T

O D

O S

O B

Y T

HE

INV

IGIL

AT

OR

Name of the Candidate Roll Number

I have read all the instructions andshall abide by them.

-------------------------------- Signature of the Invigilator

I have verified all the informationfilled in by the Candidate.

-------------------------------- Signature of the Candidate

COURSE : VIJETA (JP) REVISION TEST

Page 2: JMT-2-Code-0-08-12-2013-Paper

RESONANCE JPJMT2081213C0 - 1

(SPACE FOR ROUGH WORK)

PART-A

SECTION - I

Straight Objective Type

This section contains 24 questions. Each

question has 4 choices (1), (2), (3) and (4)

for its answer, out of which ONLY ONE is

correct.

1. If A = sin�1

1713

sincot 1 then

(1) A = tan�1 32

(2) A = tan�1

13

2

(3) A = cosec�1 23

(4) A = cot�1 32

2. If 0h

lim

)a(f)ha(f

= c where f(x) is a continuous

function such that f(x) > 0 for all x R and [ . ]

denotes greatest integer function then which

of the following statements is always true ?

(1) If x = a is a point of local minima then c N

(2) If x = a is a point of local maxima then c N

(3) If x = a is a point of local minima then c �

(4) If x = a is a point of local maxima then c �

3. If A and B be positive acute angles satisfying

3 sin2 A + 2 sin2 B = 1 and 3 sin 2A � 2 sin 2B = 0,

then

(1) B = /4 � A/2

(2) A = /4 � 2B

(3) B = /2 � A/4

(4) A = /4 � B/2

4. If 0lim

32

sinb�

cosa1 = 1, then the value

of a + b is � , find the value of .

(1) 4

(2) 1

(3) 2

(4) 0

5. The maximum values of x

xloge is

(1) 1

(2) e2

(3) e

(4) e1

Page 3: JMT-2-Code-0-08-12-2013-Paper

RESONANCE JPJMT2081213C0 - 2

(SPACE FOR ROUGH WORK)

6. If f(x) =)1x(n

)1�e(sin 2x

, x 2 is continuous at

x = 2, then f(2) =

(1) 0

(2) 2

(3) 1

(4) f(2) is not possible

7. Let f(x) = xx ; x (1, ) and g(x) be inverse

function of f(x) then g (x) must be

(1) )xn1(x1

(2) )))x(g(n1(x1

(3) ))x(g(n1(.)x(g1

(4) non existent

8. Rolle's Theorem holds for the function

f(x) = x3 + bx2 + cx, 1 x 2 at x = 34

, then the

value of b + c is

(1) 2

(2) 3

(3) 4

(4) 5

9. A curve passes through the point (2, 0) and

the slope of the tangent at any point (x, y) is

x2 � 2x for all values of x. The point of local

maximum on the curve is

(1)

34

,0

(2)

32

,0

(3)

32

,1

(4)

34

,2

10. If f(x) = ||x|2 � 2|x| � 3| then f(x) is non

differentiable at x equal to

(1) � 1,0,1

(2) 1, 2

(3) �3, �1, 0, 1, 3

(4) �3, 0, 3

11. If in a ABC, acos2

2C

+ ccos2

2A

= 2b3

,

then the sides a, c, b

(1) are in A.P.

(2) are in G.P.

(3) are in H.P.

(4) satisfy a + c = 2b

Page 4: JMT-2-Code-0-08-12-2013-Paper

RESONANCE JPJMT2081213C0 - 3

(SPACE FOR ROUGH WORK)

12. If f() = (sin + cosec )2 + (cos + sec )2 ,

then minimum value of f() is

(1) 7

(2) 8

(3) 9

(4) 4

13. The set (ABC) (ABC) C is

equal to

(1) BC

(2) A C

(3) BC

(4) A (B C)

14. The value of

cos�1

2sec

412

cos4

32sincot 111

is

(1) 0

(2) 4

(3) 6

(4) 2

15. If 2

3 33/4 log x log x 5/4x 3 then x can not

assume

(1) one positive integral value

(2) one irrational value

(3) two positive rational values

(4) two distinct positive integral values

16.x

lim1/2 1/3 1/4 1/n

1/2 1/3 1/n

2.x 3.x 4.x ..... n.x

(3x � 4) (3x � 4) ... (3x � 4)

( h e r e

n N, n 2) is equal to

(1) 3

2

(2) 23

(3) 21

(4) 3

1

17. A solution (x, y) of the system of equation

x � y = 1/3 and cos2 (x) � sin2 (y) = 1/2 is

given by

(1) (2/3, 1/3)

(2) (5/3, 4/3)

(3) (13/6, 11/6)

(4) (5/12, 1/12)

Page 5: JMT-2-Code-0-08-12-2013-Paper

RESONANCE JPJMT2081213C0 - 4

(SPACE FOR ROUGH WORK)

18. Let R = {(3, 3), (6, 6), (9, 9), (12, 12), (6, 12),

(3, 9), (3, 12), (3, 6)} be a relation on the set

A = {3, 6, 9, 12}, the relation is

(1) Reflexive and Transitive only

(2) Reflexive only

(3) an Equivalence relation

(4) Reflexive and Symmetric

19. If f(x) is a differentiable function satisfying

f (x) < 2 for all x R and f(1) = 2, then greatest

possible integral value of f(3) is

(1) 5

(2) 6

(3) 4

(4) Data insufficient

20. Let R be the relation on the set of real

numbers defined by a R b. If |a � b| 1. Then R

is

(1) Reflexive and symmetric

(2) Symmetric only

(3) Transitive only

(4) Anti-symmetric only

21. If f(x) = 2x

2x

2x

,

,

,

a

x3x

x3

2

. Find range of values

of 'a' for which f(x) is strictly monotonically

increasing at x = 2.

(1) [0, 14]

(2) [4, 14]

(3) R

(4) (4, 14)

22. If the thrice repeated roots of equation

x4 + ax3 + bx2 + cx � 1 = 0 is 1, then a + b + 2c

is equal to

(1) 0

(2) 1

(3) �1

(4) 2

23. The curves x3 � 3xy2 = a and 3x2y � y3 = b,

where a and b are constants, cut each other

(1) at an angle 3

(2) at an angle 4

(3) orthogonally

(4) at an angle 6

Page 6: JMT-2-Code-0-08-12-2013-Paper

RESONANCE JPJMT2081213C0 - 5

(SPACE FOR ROUGH WORK)

24. If 0xlim

2x

)x(f = 2, then 0x

lim

[f(x)] equals,

(where [.] denotes the greatest integer

function)

(1) 2

(2) 1

(3) 0

(4) limit does not exist

SECTION - II

Straight Objective Type

This section contains 6 questions. Each

question has 4 choices (1), (2), (3) and (4)

for its answer, out of which ONLY ONE is

correct.

25. If sin A + sin B = 3 (cos B � cos A), then value

of sin3A + sin3B is equal to

(1) 0

(2) 1

(3) 2

(4) � 1

26. Let f : R 1,2,3 R be a function defined by

1 2 3

f x .x 1 x 2 x 3

Then f(x) is

(1) one-one

(2) many one

(3) monotonocally increasing function

(4) monotonocally decreasing function

27. If f(x) = 1 � x � x3 , then all real values of x

satisfying the inequality

1 � f(x) � f 3(x) > f(1 � 5x) are

(1) (�2, 0) (2, )

(2) (�, �2)

(3) (1, 2)

(4) (0, 2)

28. If f(x) =

3x,1qxpx

3x2,6x5x

2x,bax

2

2 is differentiable

every where, then

(1) a = �1, p = � 94

(2) b = 2, q = 35

(3) a = 1, b = 2

(4) a = �1, q = �35

Page 7: JMT-2-Code-0-08-12-2013-Paper

RESONANCE JPJMT2081213C0 - 6

(SPACE FOR ROUGH WORK)

29. If , ,

2,0 then the value of

sinsinsin)sin(

is

(1) less than 1

(2) greater than 1

(3) equal to 2

(4) greater than 2

30. If f(x) is continuous, increasing function

such that domain of g(x) = x)x(f is R

and h (x) = x1

1

, then domain of

(x) = )))x(h(h(h�)))x(f(f(f is

(1) R

(2) {0, 1}

(3) R � {0, 1}

(4) R+ � {1}

Page 8: JMT-2-Code-0-08-12-2013-Paper

RESONANCE JPJMT2081213C0 - 7

(SPACE FOR ROUGH WORK)

PART-B

SECTION - I

Straight Objective Type

This section contains 24 multiple choice

questions. Each question has choices (1),

(2), (3) and (4) out of which ONLY ONE

is correct.

31. The r.m.s. value of current flowing through

the resistor in a series L�C�R a.c. circuit

is I = / R. Now the inductor and

capacitor are connected in parallel and

joined in series with the resistor as shown

in figure. The current in the circuit is now.

(Symbols have their usual meaning)

(1) equal to I

(2) more than I

(3) less than I

(4) zero

32. A conductor o f leng th i s p laced

horizontally perpendicular to a horizontal

uniform magnetic f ield B. Suddenly a

charge Q is passed through it and it is

found to jump to height h. Choose the

correct relation : (Take acceleration due

to gravity g)

(1) gm

QBh

2

222

(2) gm

QB2h

2

222

(3) gm2

QBh

2

222

(4) mgQB2

h222

Page 9: JMT-2-Code-0-08-12-2013-Paper

RESONANCE JPJMT2081213C0 - 8

(SPACE FOR ROUGH WORK)

33. If a charged particle of charge to mass

ratio mq

is entering in a magnetic field

of strength B at a speed v = (2d)(B), then

which of the following is correct :

(1) angle subtended by charged particle

at the centre of circular path is 2.

(2) the charge will move on a circular path

and will come out from magnetic field at a

distance 4d from the point of insertion.

(3) the time for which particle will be in

the magnetic field is B

2

.

(4) the charged particle will subtend an

angle of 900 at the centre of circular path

34. A point charge is moving in clockwise

direction in a circle with constant speed.

Consider the magnetic field produced by

the charge at a point P (not centre of the

circle) on the axis of the circle.

(1) only the magnitude of the magnetic field

remains constant

(2) only the direction of the magnetic field

remains constant

(3) magnetic f ield is constant in both

direction and magnitude

(4) both magni tude and di rect ion of

magnetic field change

35. A small ring of mass m is connected with

a particle of same mass by an ideal string

& the whole system is released as shown

in figure. Coefficient of friction between

ring A and wire is 3/5, ring A will starts

sliding when connecting string will make

an angle with the vertical, then will be

: (particle is free to move and ring can

slide only)

(1) 30º (2) 45º

(3) 60º (4) None of these

Page 10: JMT-2-Code-0-08-12-2013-Paper

RESONANCE JPJMT2081213C0 - 9

(SPACE FOR ROUGH WORK)

36. Rod AB is placed against a block which is

moving towards right with a speed of

1m/s. If at an instant when the rod makes

an angle 600 with the horizontal and end A

is sliding towards left with a speed of

1m/s. Then the speed of the point of

contact 'B' of the rod is :

(1) 1m/s

(2) 3

m / s2

(3) 1

m / s2

(4) 3

7 m/s

37. A particle starts from rest from the top of

an inclined plane and again comes to rest

on reaching the bottom most point of

incline plane. If the coefficient of friction

on some part of inclined plane is 3tanand

rest portion is smooth then the ratio of the

rough length of the inclined plane to

smooth length would be: (' ' is the plane

angle)

(1) 3:1

(2) 2

sin

cos

(3) 1 : 2

(4) 2 :1

38. I f par t ic le move under the ef fect of

superposition of two SHM simultaneously

and it is given x = 10(1 � cost)m and

y = 10 sint m : ( = 22/7) then distance

travelled by a particle in 227

sec.

(1) 10 m

(2) 20 m

(3) 70 m

(4) zero

Page 11: JMT-2-Code-0-08-12-2013-Paper

RESONANCE JPJMT2081213C0 - 10

(SPACE FOR ROUGH WORK)

39. A rocket is projected vertically upwards. It

explodes at the topmost point of i ts

trajectory into three identical fragments.

One of the f ragments comes straight

vertical downward in time t1 while the other

two f ragments land at a t ime t2 after

explosion. Then the height at which the

explosion occured in terms of t1 and t2 .

(1) 2ttg 21

21

21

t2t

tt2

(2) 2

ttg3 21

21

21

t2t

tt2

(3) 2ttg 21

21

21

tt2

t2t

(4) 2ttg 21

21

21

tt2

t2t

40. Three particles each of mass m can slide

on fixed frictionless horizontal circular

tracks in the same horizontal plane as

shown in the figure. The coefficient of

restitution being e = 0.5. Assuming that m2

and m3 are at rest initially and lie along a

radial line before impact and the spring is

in i t ia l ly unst re tched, then maximum

extension in spring in subsequent motion.

(1) km

V43

0

(2) k5m

V43

0

(3) k5m2

V43

0

(4) km

V53

0

Page 12: JMT-2-Code-0-08-12-2013-Paper

RESONANCE JPJMT2081213C0 - 11

(SPACE FOR ROUGH WORK)

41. A frame made of three uniform rod placed

on smooth Horizontal surface. Which is free

to move any where, shape of frame is H

shown in figure A, B and C part are uniform

and point B is mid point of the rod, middle

rod is rigidly attached at the midpoint of rod

A and rod C. Now a horizontal force F

(perpendicualr rod B) is applied such as

whole system move with pure trarslational

motion. Then x0 in the term of 0 is.

(1) 6

� 0

(2) 12

� 0

(3) 12

0

(4) 0127

42. In a binary star system mass 2m and 3m

revolve about their centre of mass, which is at

rest. If radius of star of mass 3m is r0 then the

time period of revolution of binary star system

is:

(1) GM2

rr

25 0

0 (2) GM

rr5 00

(3) GM2

rr5 00 (4) None of these

43. At t = 0 spring is in its natural length and velocity

of two block shown in figure then which of the

following option is incorrect

(1) length of spring is maximum at a time

t = K8m3

7

(2) length of spring is minimum at a time

t = K3m2

2

(3) Acceleration of the two block is zero at a

time t = K3m2

(4) Acceleration of the two block never be equal

to zero, while acceleration of centre of mass

is always zero.

Page 13: JMT-2-Code-0-08-12-2013-Paper

RESONANCE JPJMT2081213C0 - 12

(SPACE FOR ROUGH WORK)

44. Initially A and B (ends of the conducting

rod) are moving with velocity ' V ' and are

connected to two stationary balls A and B

with conducting wires as shown, after

some time (when the rod has reached into

the magnetic field) wires are cut:

(1) A will become positively charged & B

will become negatively charged

(2) A will become negatively charged & B

will become positively charged

(3) If rod is moving in y direction then A

become negat ive ly charged and B

positively charged.

(4) If rod is moving in y direction then A

is positively charged & B is negatively

charged.

45. An e lec t romagnet ic wave t ravels in

vaccum represented by,

)tkzcos()j�Ei�E(E 21

then select incorrect option :

(1) wave travels along positive z-direction

(2) the associated magnet ic f ie ld is

)tkzcos()j�Ei�E(c1

B 21

(3) The associated magnet ic f ie ld is

)tkzcos()j�Ei�E(c1

B 21

(4) The given electromagnetic wave is

plane polarized light

46. In the fraunhaufer diffraction from a single

slit illuminated by polychromatic light, the

first minimum with wavelength 1 is found

to be coincident with the third minimum at

2. Then the relationship between these

two wavelengths is

(1) 31 = 22

(2) 31 = 2

(3) 1 = 32

(4) 21 = 32

Page 14: JMT-2-Code-0-08-12-2013-Paper

RESONANCE JPJMT2081213C0 - 13

(SPACE FOR ROUGH WORK)

47. A polaroid is placed at 45º to an incoming

light of intensity 0. Now the intensity of light

passing through polaroid after polarisation

would be :

(1) 0 (2) 0/2

(3) 0/4 (4) zero

48. In the given figure switch (1) is connected

for long time, then at t = 0, switch '1' is

opened and switch '2' is connected. Then

after time t = 0, when inductor coil and

capacitor both has same energy first time

will be :

(1) LC4

5

(2) LC4

3

(3) LC4

(4) LC6

49. A car of mass 500 kg is accelerating up

an inc l ined p lane 1 in 50 wi th an

acceleration 1 m/s2.The power delivered

by the engine at an instant is 600 Watts.

The speed of the car at this instant is

(neglect air resistance and rolling friction)

(take g = 10 m/s2)

(1) 2 m/s

(2) 1 m/s

(3) 6 m/s

(4) 10 m/s

50. A small block of mass 4 kg is placed inside

a cart of mass 2 kg placed on horizontal

surface. A force 10 N is applied on the cart

as shown.Neglect friction everywhere.The

acceleration of the cart with respect to the

ground is :

(1) 5/3 m/s2

(2) 2.5 m/s2

(3) 5 m/s2

(4) 1m/s2

Page 15: JMT-2-Code-0-08-12-2013-Paper

RESONANCE JPJMT2081213C0 - 14

(SPACE FOR ROUGH WORK)

51. A man carries a weight tied at the end of a

stick 23

m long, which is placed on his

shoulder. He holds the other end of the

stick with his hand. In order that the force

on his shoulder may be three times the

weight hanging at the end, the distance

between his hand and the shoulder should

be (neglect weight of the stick)

(1) 0.25 m

(2) 0.3 m

(3) 0.4 m

(4) 0.5 m

52. A capacitor of capacitance C is ful ly

charged by connecting it across a battery

of emf V, and then disconnected and

reconnected to the same battery but

polar i ty is reversed. Long t ime af ter

changing polarity, the total heat dissipated

in the connecting wires in the process is :

(1) 2CV

(2) 2CV23

(3) 2CV2

(4) 2CV25

53. An electric field given by 2E 4 i� 3(y 2) j

passes Gaussian cube of side 1m placed

with one corner at origin such that its sides

represents x, y and z axes. The magnitude

of net charge enclosed within the cube is

(1) 40 (2) 30

(3) 50 (4) zero

54. Two cells of emf 1 and 2 (2 < 1) are

joined as shown in figure :

W hen a potent iometer is connected

between X and Y it balances for 300 cm

length against 1. On connecting the same

potentiometer between X and Z it balances

for 100 cm length against 1 and 2. Then

the ratio 1

2

is :

(1) 31

(2) 43

(3) 41

(4) 32

Page 16: JMT-2-Code-0-08-12-2013-Paper

RESONANCE JPJMT2081213C0 - 15

(SPACE FOR ROUGH WORK)

SECTION - II

Straight Objective Type

This section contains 6 multiple choice

questions. Each question has choices (1),

(2), (3) and (4) out of which ONLY ONE

is correct.

55. Two inductor coils of self inductance 3H

and 6H respectively are connected with a

resistance 10 and a battery 10 V as

shown in figure. At t = 0 the switch 'S' is

closed then the ratio of the magnetic flux

at steady state in the inductors L1 and L2

is :

(1) 1 : 2

(2) 1 : 1

(3) 2 : 1

(4) 1 : 3

56. A uniform current carrying ring of mass m

and radius R is connected to a massless

string as shown. A uniform magnetic field

B0 exist in the region to keep the ring in

equilibrium in horizontal position. The

current in the ring is: (Take acceleration

due to gravity g)

(1) 0RB

mg

clockwise as seen from above

the ring

(2) 0RB

mg

ant iclockwise as seen f rom

above the ring

(3) 0RB2

mg

clockwise as seen from above

the ring

(4) 0RB2

mg

ant iclociwise as seen f rom

above the ring

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57. In the figure shown a block A moving with

velocity 10m/s on a horizontal surface

collides with another block B (of same

mass) at rest initially. The coefficient of

restitution is 21

. Neglect friction every

where. The distance between the blocks

at 5s after the collision takes place is :

BA10m/s

(1) 20 m

(2) 10 m

(3) 25 m

(4) 30 m

58. A particle is acted upon by a force whose

component 's variat ions with t ime are

shown in diagrams. Then the magnitude

of change in momentum of the particle in

0.1 sec will be

t=0.1 sec

30 N

Fx

0

t=0.1 sec

80 N

Fy

0

t=0.1 sec

� 50 N

Fz

0

(1) 2 kg secm

(2) 10 kg secm

(3) 12 kg secm

(4) 25 kg secm

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59. In the series LCR circuit as shown in

figure, the heat developed in 80 seconds

and amplitude of wattless current is :

(1) 4000 J, 3A

(2) 8000 J, 3A

(3) 4000 J, 4A

(4) 8000 J, 5A

60. Moment of inertia of a uniform solid cone

about an axis passing through its centre

of gravity and paral lel to its base is

(m is mass of cone, its height is h and its

radius R = h)

(1) 3

10MR2

(2) 53

MR2

(3) 103

MR2

(4) 163

MR2

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PART- CAtomic masses : [H = 1, D = 2, Li = 7, C = 12, N = 14, O = 16, F = 19, Na = 23, Mg = 24,Al = 27, Si = 28, P = 31, S = 32, Cl = 35.5, K = 39, Ca = 40, Cr = 52, Mn = 55, Fe = 56, Cu = 63.5,Zn = 65, As = 75, Br = 80, Ag = 108, I = 127, Ba = 137, Hg = 200, Pb = 207]

SECTION - I

Straight Objective Type

This section contains 24 questions. Each question has five choices (1), (2), (3), and (4) for its

answer, out of which ONLY ONE is correct.

61. D-Glucose upon treatment with bromine-

water gives :

(1) (2)

(3) (4)

62.

H OH

CHO

HO H

H OH

H OH

CH OH2

D-Glucose

HO H

CHO

HO H

H OH

H OH

CH OH2

D-Mannose

The above structures are related to each

other as :

(1) identical substance

(2) diastereomers

(3) enantiomers

(4) epimers

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63. RNA forms loop structure because

(1) It always contain uracyl instead of thymine

(2) of presence of nearby complementary

bases

(3) all RNAs have to from loop structure to

function

(4) they are always single stranded

64. A protein attached to carbohydrate moiety

is called as :

(1) Lipoprotein

(2) Nucleoprotein

(3) Apoprotein

(4) Glycoprotein

65.

The correct name of the product obtained

is:

(1) cis-1,2-dibromocyclohexane

(2) cis-1,4-dibromocyclohexane

(3) trans-1,2-dibromocyclohexane

(4) trans-1,4-dibromocyclohexane

66. Which of the following statements is

correct?

(1) �NO2 group activates the benzene ring

for attack of electrophile at ortho and para

position.

(2) �NH2 group activates the benzene ring

for attack of electrophile at ortho and para

position.

(3) Both�NO2 group as well as �NH2 group

activate the benzene ring for attack of

electrophile at ortho and para position.

(4) Neither �NO2 group nor �NH2 group

activate the benzene ring for attack of

electrophile at ortho and para position.

67. The isoelectric point of an amino acid is :

(1) The pH at which it exists in the acidic

form

(2) The pH at which exists in the basic form

(3) The pH at which it exists in the Zwitterion

form

(4) The pH which is equal to its pKa value

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68. Which of the following statements is true for

the reaction given below ?

4KMnOalkaline P

(1) P is a meso compound 2, 3-butanediol

formed by syn addition.

(2) P is a meso compound 2, 3-butanediol

formed by anti addition.

(3) P is a racemic mixture of d- and l- 2, 3-

butanediol formed by anti addition.

(4) P is a racemic mixture of d- and l- 2, 3-

butanediol formed by syn addition.

69. Which one of the following combinations is

found in DNA?

(1) Guanine and guanidine

(2) Guanidine and cytosine

(3) Guanine and cytosine

(4) Adenine and guanidine

70. Compound 'X' on heating with Zn dust gives

compound 'Y' which on treatment with O3

followed by reaction with Zn dust gives

propionaldehyde. The structure of 'X' is :

(1) (2)

(3) (4)

71. 2, 3-Dimethylbut-2-ene when reacted with

bromine forms a compound which upon

heating with alcoholic KOH produce the

following major product :

(1)

(2)

(3)

(4)

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72. The compound which reacts with excess

bromine to produce 2, 4, 6-tribromophenol,

is :

(1) 1, 3-cyclohexadiene

(2) 1, 3-cyclohexanedione

(3) salicylic acid

(4) cyclohexanone

73. Ethyl acetate reacts with NH2NHCONH2 to

form

(1) CH3CONHCONHNH2

(2) CH3CON(NH2)CONH2

(3) CH3CONHNHCONH2

(4) CH3CH2NHNHCONH2

74. The compound X (C7H9N) reacts with

benzensulfonyl chloride to give Y

(C13H13NO2S) which is insoluble in alkali.

The compound X is :

(1)

NH 3CH

(2)

NH2

CH3

(3) CH3

NH2

(4) H C3

NH2

75. The configurations of the carbon atoms

C2 and C3 in the following compound are

respectively

(1) 2R, 3R

(2) 2S, 3S

(3) 2R, 3S

(4) 2S, 3R

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76. Major product of mononitration of the

following compound is :

(1)

(2)

(3)

(4)

77. The product obtained from the following

sequence of reactions is

(1) propanal (2) 2-propanol

(3) 1-propanol (4) propane

78. The product (P) of the following reaction is :

CH3

+ lCl Lewis acid

P

(1)

Cl

(2)

l

H C3

(3)

Cl

H C3

(4)

CH3

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79. The correct order of dipole moment for the

following molecules is :

(I)

OH

NO2

(II)

Cl

Cl

(III)

CH3

CH3

(1) = = (2) < <

(3) > > (4) < <

80. The order of acidities of the H-atoms

underlined in the following compounds is in

the order :

(I) (II)

(III) (IV)

(1) IV>II>I>III

(2) II>IV>III>I

(3) III>IV>I>II

(4) I>III>II>IV

81. The compound that is chiral is :

(1) 3-methyl-3-hexene

(2) 4-chloro-1-methylcyclohexane

(3) 2-phenylpentane

(4) 1,3-diisopropylbenzene

82. The monomer/s of the following polymer is/

are :

( -CH 2-CH(CH 3) -CH 2-CH(CH 3) -CH 2-

CH(CH3)-)n

(1) ethylene

(2) propylene

(3) 2-butene

(4) ethylene + propylene

83. The product (C) of the following sequence

of reactions is :

(1) (2)

(3) (4)

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84. The order of reactivity of ammonia with the

following compound is :

(I) CH2=CHBr

(II) CH3�CH2�COCl

(III) CH3�CH2�CH2�Cl

(IV) C(CH3)3C-Br

(1) IV > II > I > III

(2) II > IV > III > I

(3) III > IV > II > I

(4) I > IV > II > III

SECTION - II

Straight Objective Type

This section contains 6 questions. Each

question has 4 choices (1), (2), (3) and (4)

for its answer, out of which ONLY ONE is

correct.

85. In the following reaction sequence, the

correct structures of E, F and G are :

[E] [F] + [G]

(*implies 13C labelled carbon)

(1) E = F = G = CHI3

(2) E = F = G = CHI3

(3) E = F = G = *CHI3

(4) E = F = G = CH3

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86. A carbonyl compound P, which gives positive

iodoform test, undergoes reaction with

MeMgBr followed by dehydration to give an

olefin Q. Ozonolysis of Q leads to a

dicarbonyl compound R, which undergoes

intramolecular aldol reaction to give

predominantly S.

P

,SOH.3OH,H.2

MeMgBr.1

42

2

Q OH,Zn.2

O.1

2

3

R

.2

OH.1

The structure of the carbonyl compound P

is :

(1) (2)

(3) (4)

87. Reaction of cyclohexanone with

dimethylamine in the presence of catalytic

amount of an acid forms a compound if

water during the reaction is continuously

removed. The compound formed is generally

known as

(1) an amine

(2) an imine

(3) an enamine

(4) a Schiff's base

88. In Cannizzaro reaction given below

2Ph CHO

HO: PhCH2OH + PhCO2

..

the slowest step is :

(1) the transfer of hydride to the carbonyl

group

(2) the abstraction of proton from the

carboxylic group

(3) the deprotonation of PhCH2OH

(4) the attack of : HO

at the carboxyl group

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89. The electrophile, E . attacks the benzene

ring to generate the intermediate -complex.

Of the following, which -complex is of

lowest energy ?

(1) HE+

(2) HE+

NO2

(3) HE

+

NO2

(4)

H E

+

NO2

90. Phenol is heated with a solution of mixture

of KBr and KBrO3. The major product

obtained in the above reaction is :

(1) 2-Bromophenol

(2) 3-Bromophenol

(3) 4-Bromophenol

(4) 2, 4, 6 -Tribromophenol