AIEEE 2011 Sample/Guess Paper-2

8/7/2019 AIEEE 2011 Sample/Guess Paper-2

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Part1 : CHEMISTRYUseful Data :

Atomic Mass : H = 1, C = 12, N = 14, O = 16, Na = 23, S = 32, Cl = 35.5, K = 39, Ca=40,

Mn = 55, Fe = 56, Cu = 63.5, Br=80, I = 127.

SECTIONIStraight Objective Type

This section contains 8 multiple choice questions. Each question has 4 choices (A), (B),

(C) and (D), out of which ONLY ONE is correct.

1. Give the correct order of increasing acidic strength of the following compounds :

(I) OH (II) OH

(III) COOH (IV) CCH

(a) II < I < IV < III (b) IV < II < I < III

(c) I < II < IV < III (d) IV < I < II < III

2. Which of the following compounds does not have a meso isomer ?

(a) 2, 3Dibromobutane (b) 2, 3Butanediol

(c) 2, 4Dibromopentane (d) 2Bromo4chloropentane

3. Which of the following represents the structure of ethyl3oxobutanoate ?

(a)

O

O

O(b)

O

O

O

(c)

O O

O(d)

O O

O

4. Which of the following compounds is isomeric with methyl vinyl ether ?

(a) Propanal (b) Propanol

(c) Ethyl methyl ether (d) EthanolSpace for rough work


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5. Which of the following compounds can exhibit tautomerism ?

(a) C6H5CHO (b) C6H5COC(CH3)3(c) C6H5COCH2CHO (d) C6H5COC6H5

6. Which of the following conformations of nbutane has a cetnre of symmetry ?

(a)CH3

H

H H

H

CH3

(b)

CH3

H H

CH3

H

H

(c) CH3

H

H

H

H

CH3

(d)

CH3

HH H

H3C H

7. 2.84 g methyl iodide was completely converted into methyl magnesium iodide and the

product was decomposed by excess of ethanol. The volume of the gaseous hydrocarbon

produced at NTP will be

(a) 22.4 litre (b) 22400 litre

(c) 0.448 litre (d) 0.224 litre

8. Identify the final product in the given sequence of reactions :

CH2Br

.alcKOH A 62HB B OH/OH 22 C

(a)

CH2OH

(b)

OH

(c)

H3C OH

(d)

CH3

OH

Space for rough work


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SECTIONIIMultiple Correct Answer Type

This section contains 4 multiple correct answer(s) type questions. Each question has 4

choices (A), (B), (C) and (D), out of which ONE OR MORE is/are correct.

9. The empirical formula of a compound is CH2. To which of the hydrocarbon series does it

belong ?

(a) alkanes (b) alkenes

(c) alkynes (d) cycloalkanes

10. Which of the organic compounds will give white precipitate with AgNO3 ?

(a) ClNHHC 356 (b) CH2=CHCl

(c) C6H5Cl (d) 2, 4, 6trinitrochlorobenzene

11. Which of the following statements is/are correct about tautomers ?(a) They posses different electronic and atomic arrangement.

(b) They posses different electronic but same atomic arrangement.

(c) They have different atomic arrangement but same electronic arrangement.

(d) They exist in equilibrium.

12. Which of the following IUPAC name(s) is/are wrong ?

(a) HCCCH2CH=CH2 pent1en4yne

(b) CH3CH= CHCCH pent4en2yne

(c) C2H3COOCOCH3 acetyl propanoate

(d) CH3C(OH)=CHCOOC2H5 ethyl3hydroxybut2enoate



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SECTIONIIILinked Comprehension Type

This section contains 2 paragraphs. Based upon each paragraph, 3 multiple choice

questions have to be answered. Each question has 4 choices (A), (B), (C) and (D) out of

which ONLY ONE is correct.Paragraph1

The organic compound (A) having molecular formula C5H10 does not react with bromine

in the dark but react with bromine slowly in sunlight with the formation of acid vapours.

5.60 g of organic compound (A) reacts with 12.78 g of bromine to give 11.91 g of

bromoderivative of (A) isolated as an oily liquid. The fractional distillation of bromo

derivative of (A) gives three, and only three, different fractions with slightly, but

significantly, different boiling points.

Question:

13. The structural formula of organic compound (A) is

(a)(b) C=C

CH3CH2

H

H

CH3

(c) (d)

H3C CH3 H3C CH3

14. The acid vapours obtained are dissolved in water to give a strongly acidic solution that

required V ml of 0.250 M aqueous sodium hydroxide to neutralize it. The volume of

aqueous sodium hydroxide required for neutralization is

(a) 320 ml (b) 450 ml

(c) 250 ml (d) 150 ml

15. The incorrect statement for organic compound (A) is

(a) It is optically active.

(b) It shows geometrical isomerism.

(c) It undergoes free radical substitution reactions.

(d) It undergoes electrophilic substitution reactions.Space for rough work


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Paragraph2Elimination reactions are often used in the preparation of alkenes. One example of anelimination reaction is dehydrohalogenation, in which HX (where X is some halogen,

e.g., Cl, Br) is eliminated from a haloalkane. For example, heating chloroethane in

alcoholic potassium hydroxide gives ethene as the major organic product.

HCCClHeat

KOHalcoholic C=C + HClH

H H

HH H

H HWhere more than one elimination product is possible, Zaitsevs rule says that the major

product is the alkene with more alkyl constituents on the carbons involved in the double

bond.

The opposite of elimination is addition, which alkenes undergo readily. Hydrogen halides

readily add across alkene double bonds, forming haloalkanes, for example hydrogen

chloride adds to ethane to give chloroethane.

HCl + C=C HCCClH

H H

HH H

H HThe mechanism of this reaction (the sequence of steps that comprise the overall reaction)

is shown below (the arrows represent the movement of a pair of electrons)

C=C HCC+ HCCClH

H H

HH H

H H

H

H

H

H

:Cl

In this case the hydrogen may become attached to either carbon atom, but in general the

more alkyl groups attached to the positively charged carbon atom, the more stable the

carbocation intermediate. As one might expect, the major product is formed from the

more stable carbocation intermediate.

Questions:16. Zaitsevs product is not obtained as major product in which of the following reaction

(a) CH3CHCH3

,EtOH

KOH

F

(b) CH3CHCH2CH3

,EtOH

KOH

F

(c) CH3CHCH2CH3

,EtOH

KOH

Br

(d) CH3CHCHCH2-CH3

,EtOH

KOH

CH3

Cl



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17. The Zaitsevs product as a major product is obtained when elimination pathway is

(a) E1, E2 and E1cB (b) only E1 and E2

(c) only E2 and E1cB (d) only E1 and E1cB

18. The reaction of propene with HOCl proceeds via the addition of(a) H+

in the first step (b) Cl+

in the first step(c) OH

in the first step (d) Cl

+and OH

in a single step

SECTIONIVMatrix Match Type

This section contains 2 questions. Each question contains statements given in two

columns, which have to be matched. The statements in Column I are labeled A, B, C and

D, while the statements in Column II are labelled p, q, r, s and t. Any given statement in

Column I can have correct matching with ONE OR MORE statement(s) in Column II.

The appropriate bubbles corresponding to the answers to these questions have to be

darkened as illustrated in the following example:If the correct matches are Ap, s and t; Bq and r; Cp and q; and Ds and t; then the

correct darkening of bubbles will look like the following:

p q r s

p q r s

p q r s

p q r s

A

B

C

D

p q r s

t

t

t

t

t

19.

Column-I Column-II

(A) C6H5CHO + NH2OH (p) Isomer of ethane nitrile

(B) C6H6 + CH3Cl 3AlCl.hyan (q) Homologue of benzene(C) HCONHCH3

52OP (r) Geometrical isomer

(D) C2H5Cletherdry

Na (s) Isomer of isobutane

20.

Column-I Column-II(A) nbutane, isobutene (p) Ring chain

(B) Ethanol, methoxymethane (q) Position

(C) But1ene, cyclobutane (r) Skeleton

(D) 1propanol, 2propanol (s) FunctionalSpace for rough work


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Part2 : MATHEMATICSSECTIONI

Straight Objective TypeThis section contains 8 multiple choice questions. Each question has 4 choices (A), (B),


21. The differential equation 0yx

yyx

4

5

(a) cannot be solved by any method known at this stage

(b) can be solved by the method of variables separable

(c) cannot be solved by the method for homogeneous equations

(d) can be solved as it is of Bernoullis type which can be transformed to a linear

differential equation.

22. The differential equation 0y4

x9

dx

dy

represents a family of

(a) parallel straight lines whose slope is2

3tan 1

(b) concentric circles with centre at (3, 2)

(c) ellipses with eccentricity3

5

(d) hyperbola with eccentricity2

5

23. The value of dxx1x1cos

1

1

2

21

is

(a) 2log2

1

2

(b) 2log

2

1

2

(c) 2 log 2 (d) + 2 log 2Space for rough work


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24. The area enclosed by the two curves x3y,x4y 2 and the xaxis and lying to theright of yaxis is

(a)4

3

3

(b)

4

35

3

(c)6

3

3

2

(d)

12

35

3

25. xtan1dx

is

(a)

Cxtan

xtan1log

(b) C

2

x|xcosxsin|log

2

1

(c) C|xcosxsin|log (d) none of these

26. The value of dxx2

0

2 is

(a) 1 (b) 23

(c) 13 (d) 235

27. The area bounded by the curves y = x2

and y = 2|x| is

(a)3

4(b)

3

2

(c) 3

8

(d) 3

1

28.

dx

xx

x

2

1

2is equal to

(a) Cxx

x

1(b) C

xx

x

1

2

(c) Cxx

1

1(d) none of these



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29. If CBx|2xsinxcos|lnAdx2xsinxcos

xsinxcos2

. Then the values of A, B, is

(a)2

1(b)

2

3

(c) 3 (d) 1

30. The value of the integral 1

0

x2

e dx is

(a) less than e (b) greater than e

(c) less than 1 (d) greater than 1

31. For which of the following values of m, the area of the region bounded by the curve

y = x x2

and the line y = mx equals 9/2 ?

(a) 4 (b) 2(c) 2 (d) 4

32. If a, b, c are real numbers such that 3a + 5b + 15c = 0, the equation ax4

+ bx2

+ c = 0 has

(a) at least one root in (

1, 0) (b) at least one root in (0, 1)(c) at least two roots in(1, 1) (d) no root in(1, 1)Space for rough work


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which ONLY ONE is correct.Paragraph 1

A differential equation of the form 0yadx

dya

dx

yd212

2

is called a linear differential

equation, where a1 and a2 are functions of x only. In case a1 and a2 are constants, the

solution of the linear differential equation can be easily written by noting following facts

(i) y = 0 is a solution of the differential equation.

(ii) if y = f(x) is a solution, then y = cf(x) is also a solution.

(iii)if y = f1(x) and y = f2(x) are two solutions, then y = f1(x) + f2(x) will also be a solution.

(iv) If the distinct roots of the quadratic equation m2

+ a1m + a2 = 0 are m1 and (real or

imaginary) then the solution of the differential is xm2xm

121 ececy .

In case the roots are complex, (a + ib) the solution can be transformed to the form

eax

(c1 cos bx + c2sin bx) by using Eulers theorem.

(v) In case the roots of the equation m2

+ a1m + a2 = 0 are equal (say m1) the differential

equation can be made linear by putting Vymdx

dy1 .

The linear differential equation xfyadxdya

dxyd 212

2

can also be satisfied by some

other functions which are not of the above type. Such functions are called particular

integrals.

Questions:

33. Which of the following is not a solution of 0ydx

yd2

2

(a) ex

(b) aex

+ bex

(c) e x (d) ex

+ c

34. Which of the following is a solution of the equation 0y9dxdy6

dxyd2

2

(a) c1 + c2x (b) (c1 + c2x)e3x

(c) c1 cos3x + c2 sin3x (d) none of theseSpace for rough work


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35. A particular integral of the equation axsinyadx

yd 22

2

is

(a) axsinCaxcosC 21 (b) 22a2

axcosx

a2

axsinx

(c)22

a2

axcos

a2

axsin (d)

22a2

axcos

a2

axsinx

Paragraph-2

Any function f(x) is said to periodic with period T>0 such that f(x + T) = f(x) exist where

T is least positive value.

Let T is period of f(x). & nI, then definite integral property states.

(i) nT

0

T

0

dx)x(fndx)x(f when nI.

(ii) nT

mT

T

0

dx)x(f)mn(dx)x(f , where n, mI.

(iii)

nTb

nTa

b

a

)x(fdx)x(f , where nI.

Using above property given the answer following questions.

Questions.

36. The value of

3

16

0

dx|xsin| is

(a)2

21 (b)2

23

(c)3

8(d)

3

16

37. The value of

19 9dx

2

x2cos1is

(a) 200 (b) 400

(c)

3

220(d)

3

200



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38. The value of qp

0

dx|xcos| where qN &2

p2

is

(a) 2q3 sin p (b) 2qsin q

(c) 2p + sin q (d) 2q + sin p

SECTIONIVMatrix Match Type

This section contains 2 questions. Each question contains statements given in two





darkened as illustrated in the following example:

If the correct matches are Ap, s and t; Bq and r; Cp and q; and Ds and t; then the


p q r s

p q r s

p q r s

p q r s

A

B

C

D

p q r s

t

t

t

t

t

39.

Column-I Column-II(A) Area enclosed between the curve y=log (x + e),

x = log

y

1and x-axis is

(p) 1

(B) Area enclosed by |x| + |y| = 1 is (q) 2

(C) The area bounded by the curves y = |x|1 and

y =|x| + 1 is

(r) 3

(D) The order of the differential equation whose general

solution is given by y = (C1 + C2)sin(x + C3) 5Cx

4eC

is

(s) 4



13/21

40. If a, b, c be real numbers and cbxaxdx

I2

, then match the various forms of I with

values of a, b, c.

Column-I Column-II

(A) b2 4ac < 0, (a 0) (p)C

Bx

A

(B) b2 4ac > 0, (a 0) (q) A log(x + B) + C

(C) b2 4ac = 0, (a 0) (r) A tan

1(Bx + C) + D

(D) a = 0 (s)D

Cx

BxlogA



14/21

Part3 : PHYSICSSECTIONI

Straight Objective TypeThis section contains 8 multiple choice questions. Each question has 4 choices (A), (B),


41. A transverse wave is described by the equation y = A sin )/xt(2 . The maximumparticle velocity is equal to four times the wave velocity if:

(a) 4/A (b) 2/A (c) A (d) A2

42. A spring of force constant k is cut into two pieces such that one piece is double the length

of the other. Then the longer piece will have a force constant of

(a) k3

2(b) k

2

3

(c) 3 k (d) 6 k

43. A body of mass 1 kg is executing simple harmonic motion. Its displacement x (in cm) at

time t (in second) is given by

4

t100sin6x

The maximum kinetic energy of the body is

(a) 6 J (b) 18 J

(c) 24 J (d) 36 JSpace for rough work


15/21

44. A body connected at the end of a spring executes S.H.M. with a period t1, while the

corresponding period for another spring is t2. If the period of oscillation with the two

springs in series is T, then

(a) T = t1 + t2 (b) T2

= 222

1 tt

(c)21 t

1

t

1

T

1 (d)

2

2

2

1

2 t

1

t

1

T

1

45. The ends of a rod of length l and mass m are attached two identical springs as shown in

Fig.. The rod is free to rotate about its centre O. The rod is depressed slightly at end A and

released. The time period of the resulting oscillation is

(a)k2

m2 (b)

k

m22

(c)k3

m2 (d)

k2

m3

2

2

O BA

k

k



16/21

46. One end of a massless spring of relaxed length

50 cm and spring constant k is fixed on top of a

frictionless inclined plane of inclination

o30 as shown in Fig. When a mass m = 1.5kg is attached at the other end, the spring extends

by 2.5 cm. The mass is displaced slightly and

released. The time period (in seconds) of the

resulting oscillation will be

m

k

o30

(a)7

(b)

7

2

(c)5

(d)

5

2

47. A particle is executing linear simple harmonic motion about the origin x = 0. Which of the

graphs shown in Fig. represents the variation of the potential energy function U(x) versus

x?

(a)

U(x)

x

(b)

U(x)

x

(c)

U(x)

x

(d)

U(x)

x



17/21

48. One end of a light spring of force constant k is fixed to a block A of mass M placed on a

horizontal frictionless table; the other end of the spring is fixed to a wall (fig). A smaller

block B of mass m is placed on block A. The system is displaced by a small amount and

released. What is the maximum amplitude of the resulting simple harmonic motion of the

system so that the upper block does not slip friction between the two blocks is .

M A

m B

(a)k

MgAmax

(b)

k

mgAmax

(c)k

g)mM(Amax

(d) None of these




49. Which of the following expressions represent simple harmonic motion?

(a) )t(sinax (b) )t(cosax (c) tcosbtsinax (d) tcostsinax

50. A simple pendulum is oscillating between extreme position P and Q about the mean

position O. Which of the following statements are correct about the motion of thependulum?

(a) At point O, the acceleration of the bob is different from zero

(b) The acceleration of the bob is constant throughout the oscillation

(c) The tension in the string is constant throughout the oscillation

(d) The tension is the maximum at O and the minimum at A or B.Space for rough work


18/21

51. Two springs A and B have force constants k1 and k2 respectively. The ratio of the work

done on A to that done on B in increasing their lengths by the same amount is and theratio of the work done on A to that done on B when they are stretched with the same force

is . Then

(a)2

1

k

k (b)

1

2

k

k

(c)2

1

k

k (d)

1

2

k

k

52. All the springs shown in Fig. (a), (b) and (c) are identical, each having a force constant k.

If Ta, Tb and Tc are the time periods of oscillations of the three system respectively, then

k

m

k

m

k

k

m

k

(a)

(b)

(c)

(a)2

TT ba (b) cba T2T

2

1T

(c) ca T2T (d)2

TT2T cba



19/21




which ONLY ONE is correct.Paragraph1

One end of a light spring of force constant k is fixed to a block of mass M placed on a

horizontal frictionless surface, the other end of the spring being fixed to a wall. The

springblock system is executing simple harmonic motion of amplitude A and frequency

. When the block is passing through the equilibrium position, an object of a mass m isgently placed on the block. As a result, the frequency of the system becomes ' and theamplitude becomes A.

53. The ratio '/ is

(a)

2/1

mMM

(b)

2/1

mMm

(c)'mA

MA(d)

2/1

mA

'A)mM(

54. If v and 'v are the velocities before and after the object is placed on the block, then the

ration 'v/v is

(a))mM(

M

(b)

m

mM

(c)A

'AmMmM

(d)'A

AmMmM

55. The ration 'A /A is

(a)

2/1

m

mM

(b)

2/1

)mM('A

Am

(c)

2/1

mM

M

(d)

2/1

AM

)mM('A



20/21

Paragraph2

P R

S

T

U

V

WxO

y

The figure represents the instantaneous picture of a transverse harmonic wave traveling

along the negative x direction. choose the correct alternative (s) related to the movement

of the nine points shown in the figure.

56. The points moving upward is/are

(a) P (b) R

(d) U (d) W

57. The points moving downwards is/are

(a) O (b) Q

(c) S (d) W

58. The stationary points is/are

(a) O (b) Q

(c) S (d) W

SECTIONIVThis section contains 2 questions. Each question contains statements given in two





darkened as illustrated in the following example:

If the correct matches are Ap, s and t; Bq and r; Cp and q; and Ds and t; then the


p q r s

p q r s

p q r s

p q r s

A

B

C

D

p q r s

t

t

t

t

t



21/21

59. Match the functions given in column I with the kinds of motion they represent given in

column II. Here k is a positive real constant.

Column-I Column-II

(A) sin (kt) + cos (kt) (p) Non periodic and not simple harmonic

(B) cos (kt) + 2 sin2 (kt) (q) Periodic but not simple harmonic(C) e

kt (r) Periodic and simple harmonic

(D) tan (kt) (s) Periodic with period k/

60. In column 1 some spring block arrangement are shown and in column II correspond time

period of oscillations is given. Find the match the following. (All pullies are frictionless

and massless).

ColumnI ColumnII(A)

M

k

k

(p)

k

M32T

(B)

M

k

k k

(q)

k2

M32T

(C)

Mk

(r)

k8

M42

(D)

kkk k

k

M

k (s)kM62

Pulley has mass M

& radius R

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AIEEE 2011 Sample/Guess Paper-2

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