CODE PART TEST-3 (PT-3) 0 - · PDF fileCODE PART TEST-3 (PT-3) 0 TARGET : IIT-JEE 2011...

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

Duration : 3 Hours Max. Marks : 258

PAPER - 1

CODE

0PART TEST-3 (PT-3)TARGET : IIT-JEE 2011

INSTRUCTIONSA. General :

1. This Question Paper contains 78 questions.

2. The question paper CODE is printed on the right hand top corner on this sheet of this booklet.

3. No additional sheets will be provided for rough work.

4. Blank paper, clipboard, log tables, slide rules, calculators, cellular phones, pagers and electronic gadgets

in any form are not allowed.

5. The answer sheet, a machine-gradable Objective Response Sheet (ORS), is provided separately.

6. Do not Tamper / mutilate the ORS or this booklet.

7. Do not break the seals of the question-paper booklet before instructed to do so by the invigilators.

8. Write your Name, Roll No. and Sign in the space provide on the back page of this booklet.

B. Filling the bottom-half of the ORS :

9. The ORS has CODE printed on its lower and upper Parts.

10. Make sure the CODE on the ORS is the same as that on this booklet. If the Codes do not match, ask for a

change of the Booklet.

11. Write your Roll No., Name and Name of centre and sign with pen in appropriate boxes. Do not write these

anywhere else.

12. Darken the appropriate bubbles below your registration number with HB Pencil.

13. Fill the test cities code in ORS Sheet and for details of cities code see last page this test paper booklet.

C. Question paper format and Marking scheme :

14. The question paper consists of 3 parts (Chemistry, Mathematics & Physics). Each part consists of five Sections.

15. For each question in Section�I , you will be awarded 4 marks if you darken the bubble corresponding to the

correct answer and zero marks if no bubble is darkened. In case of bubbling of incorrect answer, minus

one (�1) mark will be awarded.

16. For each question in Section�II , you will be awarded 4 marks if you darken the bubble(s) corresponding

to the correct choice(s) for the answer and zero mark if no bubbled is darkened. There is no negative

marking for incorrect answer for this this section.

17. For each question in Section�III, you will be awarded 3 marks if you darken the bubble corresponding to

the correct answer, and zero mark if no bubble is darkened. In case of bubbling of incorrect answer, minus

one (�1) mark will be awarded.

18. For each question in Section�IV, you will be awarded 2 marks if you darken only the bubble corresponding

to the correct answer and zero mark if no bubble is darkened. In case of bubbling of incorrect answer,

minus one (�1) mark will be awarded.

19. For each question in Section�V, you will be awarded 3 marks if you darken the bubble corresponding to the

correct answer, and zero mark if no bubble is darkened. In case of bubbling of incorrect answer, minus one

(�1) mark will be awarded.

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

CLASS-XII/XIII COURSE : ALL INDIA TEST SERIES (VIKALP)(A Unit of Resonance Eduventures Pvt. Ltd.)Distance Learning Programmes Division

(SPACE FOR ROUGH WORK)

RESONANCE VIKALP_XII-XIII - 1 _ C� 0 - 1

PART-I

Atomic 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 8 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for its

answer, out of which ONLY ONE is correct.

1. For the reaction, 2 NO(g) + 2 H2 (g) N2 (g) + 2H2O(g) the rate expression can be written in the following

ways :

{d[N2] / dt} = k1 [NO][H2] ; {d[H2O] / dt) = k[NO][H2] ; {� d[NO] / dt} = k 1 [NO] [H2] ;

{�d[H2] / dt} = k1 [NO][H2]

The relationship between k, k1 , k1 and k1. is :

(A) k = k1 = k1 = k1 (B) k = 2k1 = k1 = k1(C) k = 2k1 = k1 = k1 (D) k = k1 = k1 = 2 k1

2. For the reaction, A + B + C Products.

Conc. at t = 0 a b c

Let rate = k CA C

B C

C2 . Let b > > a and c > > a then rate is given by rate = k�C

A. Choose the correct option.

(A) k� = kac2 (B) k� = kab2 (C) k� = kbc2 (D) None of these



3. For a reaction A + B + C Products.

On doubling the concentration of A rate becomes 2 times. On doubling the concentration of A and B both rate

becomes 2 times and on doubling the concentration of B and C both rate becomes 2.82 times. Overall order

of the reaction is :

(A) 27

(B) 2.41 (C) 25

(D) 23

4. For a reaction A B + C, it was found that at the end of 10 minutes from the start the total optical

rotation of the system was 50° and when the reaction is complete, it was 100°. Assuming that only B and C

are optically active and dextrorotatory. calculate the time where optical rotation of first order reaction system

become 87.5.

(A) 20 min (B) 30 min (C) 40 min (D) 37.5 min

5. Which of the following statement is not correct for the molecule Cl2BBCl

2 ?

(A) Molecule is planar at each boron atom.

(B) Molecule is non-polar.

(C) Each boron atom has a complete octet.

(D) The hybridisation of boron is the same as that of nitrogen in CNO molecule.




6. 2NaNHofmoles2 A , the product A will be :

(A) (B)

(C) (D)



7. Write the basicity order of the following :

CH3 � CH

2 � H

2

(I) (II) (III) (IV)

(A) (II) > (I) > (III) > (IV) (B) (I) > (III) > (IV) > (II) (C) (III) > (I) > (II) > (IV) (D) (I) > (II) > (III) > (IV)

8. The correct acidity order of the following is :

(A) (IV) > (I) > (III) > (II) (B) (IV) > (I) > (II) > (III) (C) (IV) > (III) > (II) > (I) (D) (IV) > (III) > (I) > (II)

SECTION - IIMultiple Correct Answer Type

This section contains 4 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for itsanswer, out of which ONE OR MORE is/are correct.

9. For the gas phase reaction

C2H

4 + H

2 C

2H

6 (H = �32.7 kcal)

carried out in a vessel, the equilibrium concentration of C2H

4 can be increased by

(A) Increasing the temperature (B) Decreasing the pressure(C) Removing some H

2(D) Adding some C

2H

6



10. At a certain temperature T1, some hydrazine (N

2H

4) gas is placed in a sealed flask where the following

equilibrium is established :

3N2H

4 (g) 4NH

3 (g) + N

2 (g) ; Hº > 0

If the temperature is increased to T2, some ammonia gas also decomposes as :

2NH3

(g) N2 (g) + 3H

2 (g) ; Hº > 0

What would be observed as temperature is increased from T1 to T

2.

(A) Some more hydrazine would decompose.(B) If K

1 << K

2 at T

2 temperature

,concentration of NH

3 would decrease.

(C) Partial pressure of N2 would increase.

(D) Partial pressure of H2 would decrease.

11. Which of the following is/are correct :(A) Carbon-carbon bond length in CaC

2 will be more than that in CH

2CCH

2

(B) O�O bond length in KO2 will be more than that in Na

2 O

2 .

(C) O�O bond length in O2 [PtF

6] will be less than that in KO

2

(D) N�O bond length in NO gaseous molecule will be smaller than that bond length in NOCl gaseous molecule.

12. Find the correct option/s.

(I) (II) (III) (IV)

(A) II is most basic compound

(B) In II lone pairs of nitrogen are less involved in resonance

(C) The extent of resonance in I, III is same

(D) IV is most basic due to + I effect of two methyl groups.



SECTION - IIIComprehension Type

This section contains 2 paragraphs. Based open each paragraph, there are 3 multiple choice questions.Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct.

Paragraph for Question Nos. 13 to 15Reactions Tending To EquilibriumNot all chemical reactions proceed to a stage at which the concentrations of the reactants become vanishinglysmall. Here we consider the kinetics of such reactions.Let a reaction be represented in general terms by the scheme

A k1

Bk�1

where k1 and k

�1 represent the rate constants for the forwards and reverse reactions, respectively. The

equilibrium constant for this reaction may be written asK = [B] /[A] = k

1/k�1

...(1)

where the subscript refers to a time t, sufficiently long to establish equilibrium at the given temperature.The initial concentration of species A is [A]

0, and that of B is [B]

0 . After a time t, let the concentration of

species A be [A]t and that of B be [B]

t. The total rate of change of [A]

t is given by

d[A]t/dt= � k

1[A]

t + k

�1[B]

t

If, as is usual, [B]0 is initially zero, it follows from a mass balance that at any time t, [B]

t = [A]

0 � [A]

t, whence

d[A]t/dt = � k

1[A]

t + k

�1([A]

0 � [A]

t)

or d[A]t/dt = � (k

1 + k

�1)

0

11

1t ]A[

kkk

]A[ ...(2)

Now, from (1) we have [B] /[A] = ([A]0 � [A] )/[A]

= k

1/k�1

, or [A] = [A]0k�1

/(k1 + k

�1) Introducing this

result into (2), we obtaind[A]

t/dt = � (k

1 + k

�1)([A]

t � [A] )



Integrating In([A]

t � [A] ) = � (k

1 + k

�1)t + f

For t = 0, f = In ([A]0 � [A] ) ; hence,

In

]A[]A[

]A[]A[

0

t= � (k

1 + k

�1)t

13. For the reaction A kf

kb

C (having both 1st order reactions), the

concentration as a function of time are given for a certainexperimental run along with a tangent to the graph at the origin.The ratio of the magnitude of the slopes of the graph of [A] and [C]at the origin would be :

(A) 1 (B) 43

5 10 15 200

0.20.4

0.6

0.81.0

Conc. (M)

Time (min.)

[A]

[C]

(C) 34

(D) None of these

14. At what time is the rate of change of concentration of A equal to rate of change of concentration of C inmagnitude ?

(A) t = 0 only (B) t tequilibrium only (C) t = 10 only (D) at all times

15. What is the KC of the reaction 2C 2A ?

(A) 32

(B) 23

(C) 1 (D) None of these



Paragraph for Question Nos. 16 to 18The lone pair of amines makes them basic. They react with acids to form acid-base salts. Amines are morebasic than alcohols, ethers or water when an amine is dissolved in water, an equilibrium is established wherewater acts as an acid and transfer a proton to the amine. The basic strength of an amine can be measuredby basicity constant K

b.

Arylamines are less basic than alkylamines because the nitrogen lone pair are delocalised by interactionwith the aromatic ring and are less available for donation. Substituted arylamines can be either more basic orless basic than aniline, depending on the substitutent. ERG substituent, such as �CH

3, �NH

2 and �OCH

3

increases the basicity and EWG substituent, such as �Cl, �NO2 and �CN decreases arylamine basicity.

Thus sp2-hybridlzed nitrogen atom in pyridine is less basic than the sp3-hybridized nitrogen in an alkylamine.

16. Select the correct order of Kb.

(A) CH3NH

2 > NaOH (B) >

(C) p-Methyl aniline > p-Chloroaniline > p-Amino acetophenone(D) p-Bromoaniline > p-Nitroaniline > p-Amino benzaldehyde

17. Observe the following sequence of reactions.

+ CH3NH

2

)1( + + CH

3NH

2 +

+



Select the correct option regarding the relative basic strength.

(A) >

NH||

NHCCH 23 ..... (Kb) (B) >

NH||

NHCCH 23 .... (Kb)

(C)

NH||

NHCCH 23 > CH3NH

2 ... (K

b) (D) CH

3NH

2 > .... (K

b)

18. Which of the following statement is incorrect(A) 2,4,6-Trinitro-N,N-dimethyl aniline is 40,000 times stronger base than 2,4,6-Trinitro aniline

(B) > (Kb)

(C) The basic strength of an amine in water is determined only by electron availability on the nitrogen atom

(D) is sufficiently acidic to form salts with alkali metal.

SECTION - IVTrue & False Type

This Section Contains 4 questions. Each statement is either true (T) or false (F).



19. If initial concentration of reactants is in stoichiometric ratio then half life of all reactants is same, irrespectiveof the order of reaction.

20. For gaseous reactions with ng > 0, equilibrium constant increases with the increase in pressure.

21. For a chemical reaction at equilibrium at standard state, standard Gibbs energy of reaction is zero.

22. In following compounds the acidity order is :

&

1 > 2 > 3 > 4

SECTION - V

Integer Answer Type

This section contains 4 questions. The answer to each of the questions isa single digit integer, ranging from 0 to 9. The appropriate bubble below therespective question number in the ORS have to be darkened.



23. A and B are two different chemical species undergoing 1st order decomposition with half lives equal to 5 sec.

and 7.5 sec. respectively. If the initial concentration of A and B are in the ratio 6 : 1. Calculate tB

tA

C

C after three

half lives of A.

24. A non volatile solid P is dissolved in liquid X and progress of first order decomposition

P(in solution phase) X () + 2Q (g)

is monitored by total pressure measurement at 27°C. Date collected is :

Hgmm100Hgmm80Hgmm20pressureTotal

timelongaftert.hr61

t0tTime

Calculate Half life of decomposition in minute.

25. A sample of mixture of A (g), B(g) and C(g) under equilibrium has mean molecular mass equal to 80 g/mole.The equilibrium is :

A(g) B(g) + C(g)

If initially 4 mole of 'A' gas is present then total number of mole at equilibrium is :[M

A = 100, M

B = 60, M

C = 40]

26. Which of the following group is most basic :



PART- II

SECTION - IStraight Objective Type

This section contains 8 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for itsanswer, out of which ONLY ONE is correct.

27. If x = cost and y = nt, then at t = 2

, 2

2

dx

yd+

2

dxdy

equals to

(A) 0 (B) �1 (C) 1 (D) 2

28. If = 0xlim 3x

x�xsin�axsinexists and finite then the values of ' ' and 'a' are respectively equal to

(A) 67

, 2 (B) �34

, 2 (C) � 67

, �2 (D) � 67

, 2

29. Range of g(x) =

2xcos21

2 3xsincos 1

, where [ . ] denotes the greatest integer function, is

(A)

22,

6 (B) (�, ) (C)

62,0 (D) (0, ]





30. If domain of f(x) = )x2(sinlogx + cos�1 ((1 � {x}) {x}) + )x41(log

1ecxcos2

5

, where {.} denotes the fractional part

function, is (a, b), then(A) a + b = 1 (B) 2(a + b) = 1 (C) a � b = 0 (D) a + b = 2

31.x

lim x n

x1

x1

1e is equal to

(A) 21

(B) 1 (C) 23

(D) 41

32. Let fog(x) =

4)x(g3

3)x(g1

1)x(g0

,

,

,

)x(g�5

1�)x(g

)x(g�1

and graph of g(x) is as shown.

The graph of f(g(x)) is

(A) (B)

(C) (D)




33. If the function satisfying the functional equation 4Rx,1x294x5x4

f4xf5

. Then f(7) is

equal to(A) 7 (B) 11 (C) 9 (D) �17

34. With usual notations in ABC, if A = 2

and a + b + c = , then b + c � a is equal to

(A) 1 (B) 2 (C) 3 (D) 4

SECTION - IIMultiple Correct Answer Type

This section contains 4 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for itsanswer, out of which ONE OR MORE is/are correct.

35. The graph of a function y = f(x) is as shown. Then which of the following statements is(are) true?

(A) f(x) has non-removable discontinuity at x = 2.(B) f(x) has missing point discontinuity at x = 0.(C) f(x) has isolated point discontinuity at x = 1.(D) f(x) is continuous at x = 3.




36. The function f(x) = 6xx

6x5x2

2

is

(A) one-one (B) many one (C) into (D) onto

37. Which of the following pair of functions does not have same graph?(A) f(x) = sin (sin�1x) ; g(x) = cos (cos�1x)

(B) f(x) = cot�1x ; g(x) = )x(cotn 1

e

(C) f(x) = x5cos21

x7cosx8cos

, g(x) = cos 3x � cos 2x

(D) f(x) = n

lim 1x

1xn2

n2

; g(x) = sgn (1 � |x|)

38. A period of the function f(x) = sin42x + cos42x is

(A) 6

(B) 3

(C) 2

(D) 4





This section contains 2 paragraphs. Based open each paragraph, there are 3 multiple choice questions.Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct.

Paragraph for Question Nos. 39 to 41

For x

4,0

Let =

n2

1r

1r31 )xsin(sin , m =

n2

1r

2r31 )xcos(cos ,

n2

1r

r31 )xtan(tann , n N, n 3

39. Which of the following is true ?(A) > m > n (B) m > > n (C) < m < n (D) n > > m

40.n

lim ( + m + n) is equal to

(A) does not exist (B) 1x

x

(C) x1

1

(D) x1

x

41. The value of x, satisfying the equation m = + n is

(A) sin 10

(B) cos 5

(C) 2 cos 52

(D) 21

sin 10





Let f(x) = x2 � 2x � 1, x R and f : (�, a] [b, ), where 'a' is the largest real number for which f(x)is bijective.

42. The value of a � b is equal to(A) 3 (B) � 1 (C) � 2 (D) 0

43. Let g(x) : [�1, 7] R, then number of integers in domain of g(f(x)) is(A) 3 (B) 6 (C) 9 (D) infinite

44. If g(x) is the inverse of f(x), then g(�1) is equal to

(A) 21

(B) 31

(C) � 21

(D) not defined


This Section Contains 4 questions. Each statement is either true (T) or false (F).




45. The function f(x) = cos�1 |x| + sec�1|x| is even function as well as odd function.

46. Complete solution set of the inequation sec�1 x 23

is x

23

sec,1� .

47. With usual notation in a ABC, cos2 2A

+ cos2 2B

+ cos2 2C

is equal to 2 + Rr

.

48. The equation log1.5

(cot�1x � sgn (ex)) = 2 has no real solution. (where sgn(.) denotes signum function)

SECTION - VInteger Answer Type

This section contains 4 questions. The answer to each of the questionsis a single digit integer, ranging from 0 to 9. The appropriate bubble belowthe respective question number in the ORS have to be darkened.




49. Total number of points of discontinuity in f(x) = [sinx] +

4

xcos+ x nx (where [.] denotes greatest

integer function) in the interval (0, 4) is

50. If the complete solution set of the inequation cos (cos�1 2x ) sin (sin�1 (x + 1)) is [p, q], then the value

of

12 sin�1 (q � p) is equal to

51. Let f(x) and g(x) be two functions such that f(0) = 1, g(0) = 0 and f(x) = g(x), g (x) = f(x).

Find 4/xlim e

5(f(tanx) + g(cotx)).

52. Let f(x) = 4x

xsinBx�xcosA�5, (x 0) is continuous at x = 0. If f(0) =

24k

, then find the value of k.



PART - IIISECTION - I

Straight Objective TypeThis section contains 8 multiple choice questions. Each question has choices (A), (B), (C) and (D),out of which ONLY ONE is correct.

53. A shell is fired from a canon with a velocity V at an angle with the vertical direction. At the highestpoint in its path, it explodes into two pieces of equal masses. One of the pieces come to rest. Thespeed of the other piece immediately after the explosion is

(A) 3V cos (B) 2V cos (C) 23

V cos (D) 2V sin

54. There are hundred identical sliders equally spaced on a frictionless track with magnitude of velocity ofeach slider numbering from 1 to 100 is (v, v, 2v,2v, 3v, 3v.... so on) as shown in the figure. All the blockscontinue to collide elastically till a constant velocity is acquired by each block then, final velocity ofblock number 2 will be :

(A) v (B) 2v (C) 49v (D) 50v

55. In a vertical plane inside a smooth hollow semicircular thin tube a block ofsame mass as that of tube is released as shown in figure. When it isslightly disturbed it moves towards right. By the time the block reachesthe right end of the tube, velocity of the tube will be (where �R� is mean

radius of tube). Assume that the tube remains in vertical plane.

(A) gR (B) 2

gR(C) Zero (D) None of these



56. A ball is bouncing down a set of stairs. The height of each step is d andthe ball bounces one step at each bounce. After each bounce the ballrebounds to a height as shown in figure. Coefficent of restitution will be :

(A) e = 1 (B) e = 21

(C) 2

1e (D)

43

e

57. Look at the drawing given in the figure which has been drawn with ink of uniform line-thickness. The mass of ink used to draw each of the two inner circles, and a missingline segments is m. The mass of the ink used to draw the outer circle is 6m. Thecoordinates of the centres of the different parts are: outer circle (0, 0), left inner circle(�a, a), right inner circle (a, a). The centre of mass of the whole ink in this drawing is

at origin then the coordinates of centre of mass of the missing line are :

(A) (0, �a) (B) (0, �2a) (C) (0, �2a

) (D) (0, 0)

58. Three parallel forces are acting on a rod (as shown in figure) at distances of 20 cm, 40 cm, 60 cm and80 cm respectively from one end of the rod. Assuming no motion in the rod under the influence of theseforces the rod :

(A) is at rest (B) experiences a torque(C) experiences a linear motion (D) experiences a torque and also a linear motion



59. A uniform rod of mass m is hinged at a smooth, horizontal, fixed axis as shown in the figure and is releasedfrom a horizontal position. The force applied by the hinge on the rod when it becomes vertical is:

(A) 7mg19

(B) 4mg5

(C)7mg13

(D) mg

60. A thin string is wrapped several times around a cylinder kept on a roughhorizontal surface. A boy standing at a distance from the cylinder draws thestring towards him as shown in figure. The cylinder rolls without slipping. Thelength of the string unbound from the cylinder while the cylinder reaches to theboy is :(A) (B) 2 (C) 3 (D) 4

SECTION - IIMultiple Correct Answers 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.

61. A ball moving with a velocity v hits a massive wall moving towards the ball with a velocity u. An elasticimpact lasts for a time t.

(A) The average elastic force acting on the ball is t

)vu(m

(B) The average elastic force acting on the ball is t

)vu(m2

(C) The kinetic energy of the ball increases by 2mu (u + v)

(D) The kinetic energy of the ball remains the same after the collision.




62. Which of the following is correct always?(A) Work done by all forces is equal to change in kinetic energy.(B) Work done by all forces is equal to the sum of the work done by each force individually.(C) Work done by all forces is equal to the work done by the resultant force.(D) conservative force can not change mechanical energy of the system

63. A car is moving along a circle with constant speed on an inclined plane as shown in diagram. Then frictionforce on car will be in horizontal direction at least at one point :

(A) in portion 'AB' including pont A and B (B) in portion 'BC' including pont B and C(C) in portion 'CD' including pont C and D (D) in portion 'DA' including pont D and A

64. A particle collides with a rod which is hinged at one end. Rod is kept on smooth horizontal surface andparticle has velocity in horizontal plane and normal to the rod. Which of the following will be true :

(A) Linear momentum of rod and particle system will not be conserved.(B) Linear momentum of rod and particle system may be conserved.(C) Energy of rod and particle system will decrease.(D) Linear momentum of rod and particle system may increase.





This section contains 2 paragraphs. Based upon each paragraph, 3 multiple choice questions have tobe answered. Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct.


Two friends A and B (each weighing 40 kg) are sitting in a frictionless well having vertical circularsmooth wall. They subtend angle 90° at the centre of well. 'A' rolls a ball of mass 40 kg in clockwise

direction on the platform towards B along the wall of the well which B catches. Then similarly B rollsthe ball towards 'A' anticlockwise and A catches it. The ball has a fixed speed of 5 m/s. (Neglectcatching and throwing time.)

65. Find the total impulse by the wall of well on whole system by the time ball travels from A to B(A) 200 kg-m/s (B) 400 kg-m/s (C) zero (D) None of these

66. Find the angular displacement of A till he meets B :(A) 150° (B) 60° (C) 90° (D) 180°

67. When A meets B they catch each other and now they move together i.e. perfectly inelastic collision.What will be the velocity when they (A + B) throw the ball after catching it :

(A) 2.5 m/s (B) 35

m/s (C) 1150

m/s, 5 m/s (D) None of these




A uniform disc of mass M and radius R initially stands vertically on a horizontal plank of mass M andlength L, as shown.The plank rests on smooth horizontal floor and friction between disc and plank is sufficiently high suchthat disc rolls on plank without slipping. The plank is pulled to right and disc is pulled to left withconstant horizontal force of magnitude F on each.

M

smooth horizontal floorL

R

F

FM

68. The ratio of magnitudes of acceleration of plank and acceleration of highest point of the disc is :(A) 1 : 1 (B) 1 : 2 (C) 1 : 3 (D) 2 : 1

69. The magnitude of frictional force acting between disc and plank is :

(A) F (B) 2F

(C) 3F

(D) 3F2

70. Work done by friction on plank in time in which disc rotates by one revolution on plank is :

(A) R2F (B) FR (C) R

2F (D) R

4F


This Section Contains 4 questions. Each question is either true (T) or false (F).



71. Whenever a stationary object explodes in absence of external force into three parts, all parts will surely movein a plane.

72. In a circular motion centripetal force can never be constant.

73. In variable mass system when some mass adds with non�zero relative velocity and moves together with the

system then in this case mechanical energy conservation cannot be applied for the system including themass which is going to attach this system.

74. Centre of gravity always coincides with centre of mass.

SECTION - V

Integer Answer Type

This section contains 4 questions. The answer to each of the questions isa single digit integer, ranging from 0 to 9. The appropriate bubble below therespective question number in the ORS have to be darkened.

75. Two particles A and B each of mass m are connected by a masslessstring. A is placed on the rough table. The string passes over a

small, smooth peg. B is left from a position making an 60ºwith

the vertical. Find the minimum coefficient of friction between A

and the table so that A does not slip during the motion of mass B.




76. String is wound on a cylinder and one end string is connected to a block as shown in figure. It is given thatthere is no slipping between cylinder and two horizontal fixed planks and string does not slip on the cylinder.Find the distance (in metre) travelled by the axis of the cylinder during the time block moves 8 metredownwards.




77. Two oppositely charged particles of mass 2kg each are kept on a smooth horizontal surface at distance of8m. When they starts moving towards each other at time t = 0 due to electrostatic force, a force of 2N isapplied one of the charge as shown. Find the distance traveled by the positive charge (in metres) before itcollides with negative charge. It is given that the two charges collide at t = 2 seconds.

78. A particle is moving in a circle in vertical plane about a horizontal axis AB with help of two massless stringsof length 10m each as shown in figure. Find the minimum possible speed (in m/s) of particle during thatmotion. (take g = 10 m/s2)


(Space for rough work)

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

Example for Filling Test Cities Code in ORS :If your Test centre is Bhatinda and test code is 06 then fill in ORS :

(a)

(b)

Test Code Test Centre Test Code Test Centre Test Code Test Centre01 Ahamedabad 02 Agra 03 Bengluru04 Bikaner 05 Bhopal 06 Bhatinda07 Bhubneshwar 08 Bokaro 09 Chandigarh10 Dhanbad 11 Dehradun 12 Guwahati13 Hyderabad 14 Indore 15 Jaipur16 Kanpur 17 Kolkata 18 Kota19 Lucknow 20 Mumbai-Andheri 21 Mumbai-Thane22 Mumbai-Nerul 23 Mumbai- Dadar 24 Mangluru25 Muzaffarpur 26 Nagpur 27 New Delhi- East28 New Delhi-West 29 New Dehi- North West 30 New Delhi- South31 Patna 32 Raipur 33 Ranchi34 Sri Ganganagar 35 Shakti Nagar (NTPC) 36 Udaipur37 Udupi 38 Varanasi

Date post:	28-Feb-2018
Category:	Documents
Upload:	voanh
View:	218 times
Download:	0 times

CODE PART TEST-3 (PT-3) 0 - · PDF fileCODE PART TEST-3 (PT-3) 0 TARGET : IIT-JEE 2011...

Documents