AIEEE 2011 Sample/Guess Paper-1

8/7/2019 AIEEE 2011 Sample/Guess Paper-1

http://slidepdf.com/reader/full/aieee-2011-sampleguess-paper-1 1/20

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, I = 127.

SECTIONI

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

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

1. Three solutions of HCl having normality 12 N, 6 N and 2 N are mixed to obtain a solution

of normality 3 N. The following volume ratio of the above three solutions (in the given

order) must be mixed :

(a) 1 : 2 : 3 (b) 1 : 2 : 6

(c) 1 : 2 : 4 (d) 1 : 1 : 5

2. One mole of A undergoes decay as, He2BA 4

2

8m

4z

m

z . If the volume of helium

collected in 20 days is 33.6 L at STP, the half life period of A will be :

(a) 5 days (b) 8 days

(c) 10 days (d) 12 days

3. In an oxidation process, N2O is oxidized to HNO3. The number of moles of electrons

transferred per mole of N2O is :

(a) 8 (b) 6

(c) 4 (d) 2

4. At temperature T, a compound AB2 dissociates as 2AB2(g) 2AB(g) + B2(g) with adegree of dissociation ‘x’ which is negligible compared to unity. The expression for ‘x’ in

terms of the equilibrium constant Kp and the total pressure P will be :

(a) x =

2 / 1

p

P

K

(b) x =

3 / 1

p

P

K3

(c) x =

3 / 1

p

P2

K

(d) x =

3 / 1

p

P

K2

Space for rough work



5. Identify the incorrect plot for an ideal gas. (When other parameters are kept constant) :

(a)

V

1/P

(b)

V

T

(c)

PV

T

(d)

V

P

6. Select the incorrect statement :

(a) If the partial orders differ from the coefficients in the balanced reaction, the reaction

must be complex.

(b) If the partial orders are equal to corresponding coefficients in the balanced reaction,

the reaction may be elementary.

(c) Every species that appears in the rate law must be a reactant in that reaction.

(d) Half life of nth

order reaction (n 1) decreases with increasing the temperature.

7. Caeffine has molecular weight of 194. If it contains 28.9% by mass of nitrogen, the

number of atoms in one molecule of caeffine is :

(a) 2 (b) 3

(c) 4 (d) 6

8. A scientist calculated the formula of camphor by means of elemental chemical analysis

and measuring density of its vapour. He found the density to be 3.84 g/L at 210oC and 1

atm pressure. Which of the following represents the correct formula of camphor on the

basis of above data :

(a) C10H14O (b) C10H16O2

(c) C10H18O2 (d) C10H16OSpace for rough work



SECTIONII

Multiple Correct Answer TypeThis 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. For the reaction, PCl5(g) PCl3(g) + Cl2(g) the forward reaction at constant temperature

is favoured by :

(a) introducing an inert gas at constant volume.

(b) introducing an inert gas at constant pressure.

(c) increasing the volume of the container.

(d) introducing PCl5 at constant volume.

10. Which of the following do not change the value of equilibrium constant for a reaction ?

(a) addition of catalyst (b) increase in temperature

(c) increase in pressure (d) removal of one of the products

11. Which of the following statement(s) is/are correct for the oxidation state of sulphur in the

compound Na2S4O6 :

(a) the average oxidation state of sulphur is +2.5.

(b) two sulphur have +2 and other two have +3 oxidation state.

(c) three sulphur have +3 and other one has +2 oxidation state.

(d) two sulphur have +5 and other two have zero oxidation state.

12. Which of the following statement(s) is/are correct :

(a) Hydrolysis of ethyl acetate in acid medium is a first order reaction.

(b) The unit of rate constant of 3

rd

order reaction is litre

2

mol

1

sec

1

.(c) The rate of a chemical change is directly proportional to concentration.

(d) The rate constant of a chemical reaction is altered by a catalyst.Space for rough work



SECTIONIII

Linked Comprehension TypeThis 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

When all the coefficients in a balanced chemical equation are multiplied by a constant

factor J, the equilibrium constant (originally K) becomes KJ. Similarly, when balanced

equations are added together, the equilibrium constant for the combined process is equal to

the product of the equilibrium constants for each step.

Equilibrium constant of the reversed reaction is numerically equal to the reciprocal of the

equilibrium constant of the original equation

Unit of KP = (atm)n

; Unit of KC [mol L1

]n

13. Consider the reactions :

(i) CO(g) + H2O(g) CO2(g) + H2(g); K1

(ii) CH4(g) + H2O(g) CO(g) + 3H2(g); K2

(iii)CH4(g) + 2H2O(g) CO2(g) + 4H2(g); K3

Which of the following is correct ?

(a) K3 = K1 /K2 (b) K3 = 3

2

2

1 K / K

(c) 213 KKK (d) K3 = K1 2K

14. Which of the following equilibrium may have KP = 2.38 103

atm ?

(a) H2(g) + I2(g) 2HI(g) (b) PCl5(g) PCl3(g) + Cl2(g)

(c) N2(g) + 3H2(g) 2NH3(g) (d) 2SO2(g) + O2(g) 2SO3(g)

15. For the reaction

2A + B 3C at 298 K, KC = 49

A 3 L vessel contains 2, 1 and 3 moles of A, B and C respectively. The reaction at the

same temperature :

(a) must proceed in forward direction (b) must proceed in backward direction

(c) must be in equilibrium (d) cannot be predictedSpace for rough work



Paragraph2

Empirical formula is the simplest formula of the compound which gives the atomic ratio

of various elements present in one molecule of the compound. However, the molecular

formula of the compound gives the number of atoms of various elements present in one

molecule of the compound.Molecular formula = (Empirical formula) n

n =massformulaEmpirical

massMolecular

A compound may have same empirical and molecular formula. Both these formulae are

calculated using percentage composition of constituent elements.

16. Which of the following compounds have same empirical formula ?

(a) Formaldehyde and benzaldehyde (b) Glucose and formaldehyde

(c) Sucrose and fructose (d) Acetic acid and benzaldehyde

17. An oxide of iodine contains 25.4 g of iodine and 8 g of oxygen. Its formula could be :

(a) I2O3 (b) I2O

(c) I2O5 (d) I2O7

18. 0.553 g of a boronhydrogen compound created a pressure of 0.658 atm in a bulb of

407 mL at 373 K. If the compound has 85.7% boron (atomic mass = 10.8) what will be the

molecular formula of the compound ?

(a) B2H6 (b) B3H8

(c) B5H9 (d) B6H14




SECTIONIV

Matrix Match TypeThis 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, Cand 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:

pq

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

If the correct matches are A – p, s and t; B – q and r; C – p and q; and D – s and t; then the

correct darkening of bubbles will look like the following:

19.

Column –

I Column - II

(A)2V

1vs P for ideal gas at constant T and n.

(p)

(B)V vs

T

1for ideal gas at constant P and n.

(q)

(C) PT vs T2

for ideal gas at constant V and n. (r)

(D)V vs

2P

1for ideal gas constant T and n.

(s)




20.

Column – I Column - II

(A) Rate constant has the same unit as the rate of

reaction.

(p) One

(B) Reactions having apparent molecularity more thenthree.

(q) Zero order reaction

(C) Reactions having molecularity two but order of

reaction is one.

(r) Complex reaction

(D) For a reaction, A B, the rate of reaction

doubles as the concentration of A doubled.

(s) Pseudo unimolecular

reaction.




Part2 : MATHEMATICSSECTIONI



21. The equation 015y13x26y2xy8x8 22 represents a pair of straight lines. The

distance between them is

(a)5

7(b)

52

7

(c)5

2(d) none of these

22. Two circles of equal radius r cut of orthogonally. If their centres are (2, 3) and (5, 6), thenr is equal to

(a) 1 (b) 2

(c) 3 (d) 4

23. A ray of light is sent along the line which passes through the point (2, 3) the ray is

reflected from the point P on xaxis. If the reflected ray passes through the point (6, 4)

then the coordinates of P are

(a)

0,

7

26(b)

7

26,0

(c) 0,

726 (d) none of these

24. If the points

1a

3a,

1a

aP

i

2

i

i

3

ii , i = 1, 2, 3 are collinear and a1, a2 and a3 are distinct real

numbers, then

(a) a1a2a3 a1a2 3a1 = 0 (b) a1a2a3 + a1a2 3a1 = 0

(c) a1a2a3 a1a2 + 3a1 = 0 (d) a1a2a3 + a1a2 2a1 = 0Space for rough work



25. Given the system of straight line a(2x + y 3) + b(3x + 2y 5) = 0, the line of the system

farthest form the point (4, 3) has the equation

(a) 3x 4y + 1 = 0 (b) 4x + 3y 5 = 0

(c) 7x y + 4 = 0 (d) none of these

26. The circle S1 with centre C 1(a1, b1) and radius r 1 touches externally the circle S2 with

centre C 2(a2, b2) and radius r 2. If the tangent at their common point passes through the

origin then

(a) (a12

+ a22) + (b1

2+ b2

2) = (r 1

2+ r 2

2) (b) (a1

2 a2

2) + (b1

2 b2

2) = (r 1

2 r 2

2)

(c) (a12 b1

2) + (a2

2 b2

2) = r 1

2+ r 2

2(d) (a1

2 b1

2) + (a2

2 b2

2) = (r 1

2 r 2

2)

27. The circle x2

+ y2 6 x 10 y + c = 0 does not intersect or touch any axis of coordinates

and the point (1, 4) lies inside the circle. Then the range of possible values of c is given by

(a) 25 < c < 29 (b) c > 9

(c) c > 25 (d) c < 29

28. No. of integral points lying inside the parabola y2

= 8 x and circle x2

+ y2

= 16 are

(a) 15 (b) 17

(c) 19 (d) 12

SECTIONII



29. P is a point which moves in the xy plane that the point P is nearer to the centre of a

square than any of the sides. The four vertices of the square are (a, a). The region in

which P will move is bounded by parts of parabolas of which one has the equation

(a) y2

= a2

+ 2ax (b) x2

= a2

+ 2ay

(c) y2

+ 2ax = a2

(d) none of theseSpace for rough work



30. A line passes through (2, 0). The slope of the line, for which its intercept between y = x – 1

and y = – x + 1 subtends a right angle at the origin is

(a) 3 (b) 3

(c) 3

1

(d) 3

1

31. From a point P(h, k ), three real and distinct normals are drawn to the parabola y2

= 8 x. Let

A, B and C be feet of normals. The normals at A, B and C cut the x – axis at Q, R and S

respectively. The value of OQ + OR + OS may be (O is vertex)

(a) 9 (b) 12

(c) 15 (d) 18

32. For the parabola y2

= 4 x, let P be the point of concurrency of three normals and S be the

focus. If 1 be the sum of the angles made by three normals from the positive direction of

xaxis and 2 be the angle made by PS with the positive direction of xaxis then 21

can be equal to

(a) 1 (b) 2

(c)2

1(d)

2

3

SECTIONIII


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

Paragraph1

If SY and SY be the perpendicular from the foci upon the tangent at any point P of the

ellipse, the Y and Y lie on the auxiliary circle and SY.SY = (length of semiminor

axes)2.

33. If SS subtend right angle at any point Q on the tangent of the ellipse 1b

y

a

x2

2

2

2

, a > b,

then minimum value of SQ.SQ will be

(a) 2a2

(b) 2b2

(c)2a2

(d)2b2




34. From S and S feet of perpendicular on any tangent having slope m to the ellipse

1b

y

a

x2

2

2

2

, a > b is Y and Y . YY subtends right angle at the centre of the ellipse, then

value of m2

is

(a) 1 e2 (b) 2e2 + 1

(c) e2

+ 1 (d) 2e2 1

35. Locus of centre of the circle passing through Y.Y and centre of the ellipse 1b

y

a

x2

2

2

2

,

a > b, then

(a) 4(a2x

2+ b

2y

2) = a

4(b) 4(b

2x

2+ a

2y

2) = a

4

(c) 4(a2x

2+ b

2y

2)= b

4(d) 4(b

2x

2+ a

2y

2) = b

4

Paragraph2

Consider equation of a variable straight line 1b

y

a

x intersect on x and y axes at A and

B respectively.

36. Locus of middle point of AB if area of triangle OAB equal to 2 sq. unit, where (‘O’ is the

origin)

(a) xy = 2 (b) xy = 1

(c)2

1xy (d) none of these

37. Locus of circumcentre of the triangle APB if AB subtend right angle at P(b, a) is(a) x

2+ y

2+ ax + by = 0 (b) x

2+ y

2 ax + by = 0

(c) x2

+ y2 ax by = 0 (d) none of these

38. Locus of middle point of AB if perpendicular distance from (a, b) to the line is equal to 2

unit is

(a) x2

+ y2 x

2y

2= 0 (b) x

2 y

2+ x

2y

2= 0

(c) x2

+ y2 xy = 0 (d) x

2+ y

2+ xy = 0Space for rough work



SECTIONIV






Column II.



following example:

pq

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. 0c,b,a,Rc,b,a,cbxcab2xbaxf 22222 .


(A) If f(x) = 0 have real roots, then b2x

2+ acy

2= 1

represent

(p) Circle

(B) If f(x) = 0 have real roots, then b2x

2 acy

2= 1

represent

(q) Ellipse

(C) If f(x) = 0 have non real roots, then b2x

2+ acy

2= 1

represent

(r) Hyperbola

(D) If f(x) = 0 have real roots and b = 5, then locus of point

P(a, c)

(s) Rectangular

hyperbola

40.


(A)A tangent drawn to hyperbola 1

b

y

a

x2

2

2

2

at

6p forms a

triangle of area 3a2

square units, with coordinate axes, then the

square of its eccentricity is equal to

(p) 17

(B)A tangent to the ellipse 1

48

y

27

x22

having slope 3

4cuts the x

and yaxis at the points A and B respectively. If O is the origin

then area of triangle OAB is equal to

(q) 36

(C) Normals AO, AA1, AA2 are drawn to parabola y2

= 8x from the

point A(h, 0). If triangle OA1A2 is equilateral, then possible

value of ‘h’ is

(r) 28

(D) A circle is drawn to pass through the extremities of the latus

rectum of the parabola y2

= 8x and it also touches its directrix,

then radius of the circle is

(s) 4




Part3 : PHYSICSSECTIONI



41. A bird flies for 4 s with a velocity of |t 2| m/s in a straight line, where t = time in

seconds. It covers a distance of :

(a) 2 m (b) 4 m

(c) 6 m (d) 8 m

42. Two identical cylindrical vessels with their bases at the same level, each contains a liquid

of density . The height of the liquid in one vessel is H1 and that in the other is H2. The

area of either base is A. The work done by gravity in equalizing the levels when the

vessels are interconnected is :

(a)

2

HHgA 21 (b)

2

21

2

HHgA

(c)

4

HHgA 21 (d)

2

21

4

HHgA

43. The upper half of an inclined plane with inclination is perfectly smooth while the lower

half is rough. A body starting from rest at the top will again come to rest at the bottom if

the coefficient of friction for the lower half is given by :

(a) 2 tan (b) tan (c) 2 sin (d) 2 cos

44. A block of mass 3 kg is placed on a rough horizontal

surface

32

1. A force is applied as shown in the

figure. Minimum force required just to slide the block is :

(a)3

20N (b) 20 N

(c) 5 N (d) 10 N

60o

F




45. A particle falls from rest under gravity. Its potential energy (U) with respect to ground

and its kinetic energy (K) are plotted against time (t). Choose the correct graph :

(a)

t

KUEnergy

(b)

t

K

UEnergy

(c)

t

K

U

Energy

(d)

t

K

U

Energy

46. A particle of mass m attached to the end of string is

released from the horizontal position. The particle

rotates in a circle about O as shown by the dotted

curve. When it is vertically below O, the string

makes contact with the nail N placed directly below

O at a distance h and rotates around it. The

minimum value of h so that the particle may swing

completely around it in a circle is :

O

N

l = 15 cm

h

(a) 4 cm (b) 6 cm(c) 8 cm (d) 9 cm

47. A vertical spring of force constant 100 N/m is attached with a

hanging mass of 10 kg. Now an external force is applied on the

mass so that the spring is stretched by additional 2 m. The work

done by the force F is (g = 10 m/s2) :

(a) 200 J

(b) 400 J

(c) 450 J

(d) 600 J F Space for rough work



48. A particle moves in the x, yplane with velocity jˆbtiˆav

. At the instantb

3at the

magnitude of tangential, normal and total accelerations are :

(a)2b,b

23 and b respectively (b)

2b,

2b and b respectively

(c) b2,b2 and b respectively (d)2

b,b

2

3and b respectively

SECTIONII



49. In the adjoining figure if acceleration of M with respect

to ground is a. Then :

(a) acceleration of m with respect to M is a.

(b) acceleration of m with respect to ground is

a sin ( /2).

(c) acceleration of m with respect to ground is a.

(d) acceleration of m with respect to ground is a tan .

m

M

a

50. In the system shown in the figure the

mass m moves in a circular arc of angular

amplitude 60o

and mass 4 m is stationary.

Then choose the correct statement.

(a) The minimum value of coefficient of friction between the mass 4 m and the

surface of the table is 0.50.

4m

m A

B

60o

(b) The work done by gravitational force on the block m is positive when it moves from A

to B.

(c) The power delivered by the tension when m moves from A to B is zero.

(d) The kinetic energy of m in position B equals the work done by gravitational force on

the block when it moves from position A to position B.Space for rough work



51. A particle moving with a speed v changes direction by an angle , without change in

speed:

(a) The change in the magnitude of its velocity is zero.

(b) The change in the magnitude of its velocity is 2vsin

2 .

(c) The magnitude of the change in its velocity is 2vsin

2.

(d) The magnitude of the change in its velocity is v(1 cos).

52. A particle P of mass m is attached to a vertical axis by

two strings AP and BP of length l each. The separation

AB = l. P rotates around the axis with an angular velocity

. The tension in the two strings are T1 and T2:

l

l

m

A

B

l

(a) T1 = T2 (b) T1 + T2 = m2l

(c) T1 T2 = 2mg (d) BP will remain tight only if l

g2.




SECTIONIII


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

which ONLY ONE is correct.Paragraph1

A body starts to move when external force along the plane greater than equal to limiting

force of friction. Work done by all forces acting on the body in any frame of reference is

equal to change in kinetic energy.

Wnet = K.

A chain of mass M and length L rests on a rough

table so that one of its ends hangs over the edge.

The chain slides off the table all by itself when

1/3 of its length hangs.

Questions:53. The velocity of the chain when it completely slides off the table :

(a) gL23

1(b) gL2

2

3

(c) gL23

2(d) gL2

54. The work done by gravity when chain completely slides off the table :

(a) MgL9

2(b) MgL4

9

(c) MgL2

9(d) MgL

9

4

55. The work done by force of friction when chain completely sides off table :

(a)9

MgL(b)

3

MgL

(c)9

MgL (d)

3

MgL




Paragraph2

Two blocks A and B of equal masses are released

from an inclined plane of inclination 45o

at t = 0.

Both the blocks are initially at rest. The coefficient

of kinetic friction between the block A and theinclined plane is 0.2 while it is 0.3 for block B.

Initially, the block A is 2 m behind the block B.

(Take g = 10 m/s2)

2 m

A

B

A

B

45o

56. The accelerations of the blocks A and B are respectively :

(a) 2

8

m/s

2

and 2

7

m/s

2

(b) 2

7

m/s

2

and 2

5

m/s

2

(c)2

5m/s

2 and

2

8m/s

2(d)

2

7m/s

2 and

2

7m/s

2

57. When their front faces will come in a line :

(a) 1 s (b) 3 s

(c) 5 s (d) 2 s

58. Where their front faces will come in a line :

(a) 28 m from B (b) 8 m from A

(c) 28 m from A (d) 8 m from BSpace for rough work



SECTIONIV






Column II.



following example:

pq

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



59. A particle of mass m is pulled along an arbitrary

curved surface without acceleration as shown.

Coefficient of friction between the surface and the

particle is . H

B

A

m

L

Column – I Column – II

(A) Work done by frictional force. (p) mgH(B) Work done by gravitational force. (q) mgL

(C) Work done by the external force. (r) mgL + mgH

(D) Change in kinetic energy of the particle. (s) ZeroSpace for rough work



60. A particle is suspended from a string of length R. It is given a

velocity u = 3 gR at the bottom.

A

B

C

D

u

ColumnI ColumnII

(A) Velocity at B. (p) 7 mg

(B) Velocity at C. (q) gR5

(C) Tension in string at B. (r) gR7

(D) Tension in string at C. (s) 4 mg


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AIEEE 2011 Sample/Guess Paper-1