PAPER - 1 - WordPress.com · PAPER - 1 PART TEST-2 (PT-2) TARGET : IIT-JEE 2011 INSTRUCTIONS A. General : 1.This Question Paper contains 63 questions. 2.The question paper CODE is

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

Date : 29-08-2010 Duration : 3 Hours Max. Marks : 258

PAPER - 1

PART TEST-2 (PT-2)TARGET : IIT-JEE 2011

INSTRUCTIONSA. General :

1. This Question Paper contains 63 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 sig with pen in appropriate boxes. Do not write these

anywhere else.

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

C. Question paper format and Marking scheme :

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

14. For each question in Section�I , you will be awarded 3 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.

15. 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(s) for this this section.

16. 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, There

is no negative marking for incorrect answer(s) for this this section.

17. For each question in Section�IV, you will be awarded 3 marks for each row in which you have darkened the

bubble(s) corresponding to the correct answer. Thus, each question in this section carries a maximum of

12 marks. There is no negative marking for incorrect answer(s) for this this section.

18. 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

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INV

IGIL

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CODE

0COURSE : VIJAY (R)

RESONANCE P1R290810C0-1

(SPACE FOR ROUGH WORK)

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 - IStraight Objective Type

This section contains 10 multiple choice questions. Each question has choices (A), (B), (C) and (D),out of which ONLY ONE is correct.

1. Among the following compounds the one that is polar and has central atom with sp3 hybridisation is(A) H2CO3 (B) SiF4 (C) NaBF4 (D) HClO2

2. Which is correctly matched ?(1) Basic strength of oxides Cs2O<Rb2O< K2O < Na2O < Li2O(2) Mobility of hydrated ions Be+2 < Li+ < Na+

< K+

(3) Thermal stability of bicarbonates LiHCO3 < NaHCO3 < KHCO3 < RbHCO3 < CsHCO3(4) Melting point NaF < NaCl < NaBr < NaI(A) 1 and 4 (B) 1 and 3 (C) 1 and 2 (D) 2 and 3

3. In which of the following �N� atom is sp2 hybridised

(A) NH3 (B) NH4+ (C) (D) B3N3H6

4. The structural unit present in pyro sillicates is :(A) Si3O9

6� (B) SiO44� (C) Si2O7

6� (D) (Si2O52�)n



5. The ground state electronic configurations of some elements, P, Q, R, S, and T (these symbols represent thesome of the known elements given in the periodic table) are as follows.P : 1s2 2s2 2p6 3s2 3p2

Q : 1s2 2s2 2p6 3s2 3p6 4s1

R : 1s2 2s2 2p6 3s2 3p1

S : 1s2 2s2 2p6 3s2 3p6 3d5 4s1

T : 1s2 2s2 2p6 3s2 3p6 3d10 4s2 4p6.Match the electronic configurations of the elements with the properties given below and select the correctsequence by choosing the correct codes given.(i) Element forms a cation which is isoelectronic with P3�.(ii) Element which in its compounds can show a maximum oxidation state of +6 and that is coloured too.(iii) Element has largest atomic radius and highest first ionisation energy in the respective period.(iv) Element which has intermediate value of electronegativity and its oxide forms salts with strong acids andbases.(A) Q R T P (B) Q S T R (C) Q R S T (D) P Q R S

6. Which of the following does not represent the isostructural pair ?(A) SF5

� and IF5 (B) CIO2F3 and SOF4 (C) SeF3+ and XeO3 (D) SF4 and SiF4

7. Which of the following will decolourise highly diluted KMnO4 solution ?(A) C3H8 (B) CH4 (C) CCl4 (D) C2H4

8. In the Newman projection formula of the most stable conformation of (d)� , one of the

carbon is rotated by 120º in clockwise direction, keeping other carbon fixed, the conformation formed can

be:(A) Partially eclipsed (B) Least stable staggered(C) Most stable meso (D) least stable meso



9. Total number of monochloro products (including stereoisomers) which are obtained by monochlorination ofmethylcyclopropane are :(A) 4 (B) 5 (C) 6 (D) 3

10. The total number of isomers for the alkyne with molecular formula C3HDClBr is :(A) 4 (B) 6 (C) 8 (D) 5

SECTION - IIMultiple Correct Answers Type

This section contains 5 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.

11. Which is not correct order for the properties specified ?(A) I > Br > Cl > F (oxidising character)(B) K > Mg > Al > B (metallic character)(C) Li < B < Be < C < O < N < F < Ne (first ionisation enthalpy)(D) O2 � < O+ < O (Zeff)

12. Identify correct order of bond angles(A) Cl2O > F2O and F2O < H2O (B) AsI3 > AsBr3 > AsCl3(C) NO2

+ > NO2� (D) BF4

� > BF3

13. On moving down the first group (from Li to Cs) which of the following properties increases.(A) Ionisation Energies (B) Hydration Energy(C) Ionic mobility in aqueous solution (D) Metallic character



14.

Which of the following statement(s) is/are correct for the above given reaction.(A) Compound (z) gives yellow precipitate with I2 and NaOH.(B) Compound (y) is n-pentane.(C) Compound (x) and (y) can be distinguished by Br2 solution.(D) Compound (w) and (z) both gives black precipitate of Ag2O with tollens reagent.

15. Which of the following statement (s) is/are correct for conformers of n-butane.(A) Degenerate conformational isomers of n-butane are conformational enantiomers. (consider bond rotationalong C2 and C3)(B) Non degenerate conformational isomers of n-butane are conformational diastereomers. (consider bondrotation along C2 and C3)

(C) is not a conformer of n-butane.

(D) Chiral conformers will always be optically active and isolable(can be separated) at room temperature.



SECTION - IIITrue & False Statement Type

This Section Contains 2 questions. Each questions contains 3 or 4 statements S1, S2, S3 or S4. Eachstatement is either true (T) or false (F). Each questions has 4 choices (A), (B), (C) and (D) each ofwhich contains whether S1, S2, S3 or S4 are true or false. Exactly one choice contains the correctorder of truthness or falseness of S1, S2, S3 or S4 respectively and is the correct choice.

16. S1 : Among K+, Mg2+ and Al3+ gaseous ions Al3+ is the smallest one.S2 : The negative value of electron gain enthalpy of Cl > F because there is weak electron-electronrepulsion in the bigger 3-p sub-shell of Cl as compared to compact 2p-subshell of F.S3 : Formation of S2� and Ar� gaseous ions, both require the absorption of energy.S4 : The correct order of electronegativity values of S > O.(A) F T T F (B) F F T T (C) T T T F (D) T T T T

17. S1 :

COOH�CH|

COOH�CH

2

2 succinic acid gives CO2 gas with excess of NaHCO3 and after that it exist as anti

conformation.

S2 : compound exist as diastereomeric pair at room temperature.

S3 : Isomeric alkynes of C4H6 can be best distinguished by Cu2Cl2 in ammonical solution.S4 : C2H2 and C2H4 can be distinguished by AgNO3 in ammonical solution.

(A) T F T T (B) F T T T (C) T T T T (D) F F T T



SECTION - IVMatrix - Match Type

This section contains 2 questions. Each question contains statements given in twocolumns, which have to be matched. The statements in Column-I are labelledA, B, C and D, while the statements in Column-II are labelled p, q, r, s and t. Anygiven statement in Column-I can have correct matching with ONE OR MOREstatement(s) in Column-II. The appropriate bubbles corresponding to the answersto these questions have to be darkened as illustrated in the following example. 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 ofbubbles will look like the following :

18. Column-I Column-IICompound Hybridisation

(A) PCl5 solid (p) sp3d

(B) Cl3 solid (q) sp3

(C) XeF6 solid (r) sp3d2

(D) K2XeO4 (s) lone pair is present on central atom

(t) shows ionic behaviour



19. Column-I Column-II

(A) (p) Gives precipitate with AgNO3 in NH4OH.

(B) (q) Gives positive FeCl3 test.

(C) (r) Decolourise the bayers reagent.

(D) (s) Gives yellow colour compound with aldehyde.

(t) Gives effervescence of CO2 with NaHCO3.



SECTION - VInteger Answer Type

This section contains 2 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.

20. What volume of 0.05M K2C2O4 in ml must be added to 10 ml of 0.02M KMnO4 acidic solution to reduce 50%KMnO4 to Mn+2.

21. The number of lp-bp repulsions present in ClF3 at nearly 90º angle are.



PART- II


This section contains 10 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for itsanswer, out of which ONLY ONE is correct.

22. Sum of infinite terms of the series 32.1

+ 23

3.2+ 33

4.3+ 43

5.4+ ..... is

(A) 49

(B) 91

(C) 45

(D) 41

23. The value of cos

426

cos�4

2�6cos 1�1� is equal to

(A) 0 (B) 2

1(C)

23

(D) 21

24. If 100 < 101, then the value of sin�1(sin[]) � tan�1(tan[]) + sec�1 (sec[]), (where [.] denotes the greatestinteger function), is

(A) 300 � 99 (B) 32 � 100 (C) 0 (D) 96 � 300





25. If

nr

1r4

24

rr

1rr =

26675

, then n is equal to

(A) 10 (B) 15 (C) 25 (D) 30

26. If , , , are the positive roots of x4 � 12x3 + x2 + mx + 81 = 0 then the area of the quadrilateral formedby x = , x = �, y = and y = � is(A) 25 (B) 27 (C) 36 (D) 30

27. Number of integral values of so that the point (, 1) lies in the major segment formed by the line x + y = 2on the circle x2 + y2 = 17, is(A) 4 (B) 3 (C) 2 (D) 1

28. If the lines 3x2 � 4xy + y2 + 8x � 2y � 3 = 0 and 2x � 3y + = 0 are concurrent, then the value of

sec

1sec 1� is

(A) 4 � 11 (B) � 11 (C) 111

(D) none of these




29. If f(x) = sin�1(tan2x + cot2x) + cosec�1 (sin2x + cosec2x), then domain of f(x) is

(A) R (B) R �

2

n, n

(C) R �

2

)1n2( , n (D)

30. If (, ) is a point of intersection of the lines x cos + y sin = 3 and x sin � y cos = 4 where is

parameter, then maximum value of 22

is(A) 16 (B) 32 (C) 64 (D) 128

31. Equations of the sides of a quadrilateral are 0yx3 , 0xy3 , 1yx3 and 1xy3 . The

quadrilateral(A) is a parallelogram which is neither a rectangle nor a rhombus.(B) is a rectangle which is not a square.(C) is a rhombus which is not a square.

(D) has the area equals to 23

sq.units.

SECTION - IIMultiple Correct Answer Type

This section contains 5 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for itsanswer, out of which ONE OR MORE is/are correct.




32. If the area enclosed between f(x) = min(cos�1(cosx), cot�1(cotx)), x (0, 2) � {} and x-axis is k, thensin8k is(A) an even number (B) a whole number (C) an integer (D) a complex number

33. A variable circle cuts each of the circles x2 + y2 � 2x = 0 and x2 + y2 � 4x � 5 = 0 orthogonally. The variablecircle passes through two fixed points whose coordinates are

(A)

0,

235�

(B)

0,

253�5�

(C)

0,

2355�

(D)

0,

2535�

34. Let =

333231

232221

131211

aaa

aaa

aaa

. Let Mi j and C

i j are the minor and cofactor of the element a

ij respectively. Which

of the following statements is/are TRUE ?(A) a

12C

11 + a

22C

21 + a

32C

31 = 0 (B) a

13C

13 + a

23C

23 + a

33C

33 = 0

(C) a21

M31

+ a22

M32

+ a23

M33

= 0 (D) a11

M21

� a12

M22

+ a13

M23

= 0




35. If the least and the greatest values of 'x' satisfying the inequation [sin�1x] > [cos�1x], (where [.] denotes thegreatest integer function) are p and q respectively, then(A) the point (2, cos1 + 1) lies on the line y = p + q(B) p + q > 1 + sin5(C) log

q � p is negative

(D) cos�1 p < tan�1q

36. If x = 21

1+ 23

1+ 25

1 + ...., y = 21

1+ 22

3+ 23

1+ 24

3+ ..... and z =

21

1�

22

1+ 23

1� 24

1+ ...., then

(A) x, y, z are in A.P. (B) 6y

, 3x

, 1z

are in A.P..

(C) 6y

, 3x

, 2z

are in A.P.. (D) 6y, 3x, 2z are in H.P.


This Section Contains 2 questions. Each questions contains 3 or 4 statements S1, S

2, S

3 or S

4. Each

statement is either true (T) or false (F). Each questions has 4 choices (A), (B), (C) and (D) each ofwhich contains whether S

1, S

2, S

3 or S

4 are true or false. Exactly one choice contains the correct order

of truthness or falseness of S1, S

2, S

3 or S

4 respectively and is the correct choice.



37. Consider the following statements :S1: If the coordinates of vertices of a triangle are integers, then the triangle cannot be equilateral.S2: If a

1x + b

1y + c

1 = 0 and a

2x + b

2y + c

2 = 0 are the equations of two straight lines where

a1 a

2 + b

1b

2 < 0, then origin always lies in the acute angle.

S3: If the points D, E and F divides the sides AB, BC and CA respectively in the same ratio internally,then centroids of triangles ABC and DEF coincide.

State, in order, whether S1, S

2, S

3 are true (T) or false (F)

(A) F T F (B) T F F (C) T T T (D) T F T

38. Consider the following statements :S1 : cot�1x � tan�1x > 0, x < 1S2 : tan�1(/4) = 1

S3 : sin�1

341

logAnti169

State, in order, whether S1, S

2, S

3 are true (T) or false (F)

(A) F T F (B) T F F (C) T T T (D) T F T

SECTION - IVMatrix - Match Type

This section contains 2 questions. Each question contains statements given in twocolumns, which have to be matched. The statements in Column-I are labelledA, B, C and D, while the statements in Column-II are labelled p, q, r, s and t. Anygiven statement in Column-I can have correct matching with ONE OR MOREstatement(s) in Column-II. The appropriate bubbles corresponding to the answersto these questions have to be drakened as illustrated in the following example.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 ofbubbles will look like the following :




39. Column-I Column-II

(A) The length of common chord of two circles of (p) 42radii 3 and 4 units which intersects orthogonally

is 35

k4, then k is equal to

(B) OPQR is a square and M, N are the mid points of the sides (q) 43PQ and QR respectively. If the ratio of the areas of the squareand the triangle OMN is : 6, then is equal to

(C) Two mutually perpendicular straight lines are drawn (r) 48from the point (2, �1) forming an isosceles trianglewith the line 3x + 4y � 5 = 0. If area of triangle is

125k

, then k is equal to

(D) Value of the determinant

268124

143913

216719

is (s) 45

(t) 46




40. Column I Column II

(A) Given a family of lines a(2x + y + 4) + b (x � 2y �3) = 0, (p) 7the number of line(s) belonging to the family at a distance

10 from P(2, �3) is (are)

(B) If equations of diameters of circle x2 + y2 + 2x + 2y � 14 = 0, (q) 6making an angle 450 with its secant 3x + 3y = 7 are x + a = 0,y + b = 0, then a + b is equal to

(C) If the straight line y = a1x + b and y = a

2x + b, b R, a

1,a

2 > 0, a

1 a

2(r) 4

meet the co-ordinate axes in concyclic points then possiblevalue(s) of a

1 + a

2 is (are)

(D) The vertices of a triangle are A(m, n), B(12, 19) and C(23, 20), where m (s) 2and n are integers. if its area is 70 and the slope of the median throughA is � 5, then the last digit of m + n is

(t) 1

SECTION - VInteger Answer Type





41. O(0, 0) is a fixed point and P any point on the straight line x � 2y + 3 = 0. OP is joined and on it is taken a

point Q such that OP. OQ = 2. Locus of the point Q is a circle whose radius is 45

k. Find the value of k.

42. Straight lines 3x � 4y =

4sin�1(a8 + 1) + 2cos�1(a12 + 1) � sec�1(a2 + 1), a R and 6x� 8y = 7 are tangentss

to a circle, find the length of arc of this circle which makes an angle of 3

40at its centre.



RESONANCE P1R290810C0 - 18

PART-III


This section contains 10 multiple choice questions. Each question has choices (A), (B), (C) and (D),

out of which ONLY ONE is correct.

43. A block travels on a fixed wedge with constant velocity 4 m/s and it takes 2 secondsto travel from top to bottom. If height of the wedge is 4m, then the coefficient offriction of the block with the wedge will be nearly: (A) 0.58 (B) 1(C) 0.75 (D) cannot be calculated

44. A block is in equilibrium at rest in a lift. Now lift starts accelerating. The minimum magnitudeof acceleration of lift for which block will touch the floor of lift :

(A) Mkh

(B) Mkh2

(C) M2

kh(D)

Mkh

g

45. A, B, C and D are four students standing at the corners of a square of side '' . Nowat the same instant all starts running with constant and same speed. A runs towardsB, B runs towards C, C runs towards D and D runs towards A then distance travelledby each student before they meet will be : (A) equal to .(B) less than .(C) greater than .(D) all cases in option A,B and C are possible depending on the speeds of students



46. A swimmer can swim with speed 'v' with respect to still water in a river which is flowing with speed u. Thereis a float moving with the river. Now the swimmer overtakes float and gets a lead of and returns back to thefloat. Time taken by swimmer in this process will be :

(A) v2

(B) u2

(C) 22 uv

(D) uv

+ uv

47. Three particles A, B and C move in a circle of radius r =

1m, in anticlockwise

direction with speeds 1 m/s, 2.5 m/s and 2 m/s respectively. The initial positionsof A, B and C are as shown in figure. The ratio of distance travelled by B and Cby the instant A, B and C meet for the first time is : (A) 3 : 2 (B) 5 : 4(C) 3 : 5 (D) 3 : 7

48. Track OABCD (as shown is figure) is smooth and fixed in verticalplane. What minimum speed has to be given to a particle lying atpoint A, so that it can reach point C ? (take g = 10 m/s2)

(A) 60 m/s (B) 100 m/s(C) 70 m/s (D) 80 m/s



49. A cylinder of mass M and radius R is resting on two corner edgesA and B as shown in figure. The normal reaction at the edges Aand B are : (Neglect friction)

(A) NA = BN2 (B) NB =NA

(C) NA = 2

Mg(D) NB =

532 Mg

50. A car travels with constant speed on a circular road on level ground. Inthe figure shown, F

air is the force of air resistance on the car. Which of

the other forces best represent the horizontal force of the road on the

car's tires?

(A) FA

(B) FB

(C) FC

(D) FD

51. A force F equals to 100 N is applied on 30 kg box inside which a 10 kgmass is hanging with the help of a massless string as shown in figure.Initially system is at rest, then at this instant acceleration of box will be

(A) 4 m/s2 (B) 6 m/s2 (C) 2 m/s2 (D) 1.5 m/s2

52. A rod of length L is hinged at one end and it is rotated with a constant angular velocity in a horizontal plane.Let T

1 and T

2 be the tensions at the points L/4 and 3L/4 away from the hinged end.

(A) T1 > T

2

(B) T2 > T

1

(C) T1 = T

2

(D) The relation between T1 and T

2 depends on whether the rod rotates clockwise or anticlockwise



SECTION - IIMultiple Correct Answers Type

This section contains 5 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.

53. A converging lens is used to produce an image on a screen of an object. What change is needed for theimage to be formed nearer to the lens ?(A) decrease the focal length of the lens (lens and position of object is fixed).(B) Insert a diverging lens between the lens and the screen (converging lens and position of object

is fixed).(C) Increase the distance of the object from the lens.

(D) Move the object closer to the lens.

54. Which of the following quantities may remain constant during the motion of an object along a curved path :(A) speed (B) angular velocity(C) acceleration (D) angular acceleration

55. A man is supplying a constant power of 500 J/s to a massless string bypulling it at a constant speed of 10 m/s as shown. It is known that kineticenergy of the block is increasing at a rate of 100 J/s.

(A) Rate of increase of potential energy of block is 400 J/s.(B) Acceleration of block is 2.5 m/s2.(C) Tension in the string is 50 N.(D) Then the mass of the block is 4 kg.

56. One end of a light spring of spring constant k is fixed to a wall and the other end is tied to a block placed on a

smooth horizontal surface. In a displacement , the work done by the spring is �21

kx2. The possible cases are

(A) the spring was initially compressed by a distance x and was finally in its natural length(B) it was initially stretched by a distance x and finally was in its natural length(C) it was initially in its natural length and finally in a compressed position(D) it was initially in its natural length and finally in a stretched position



57. A block is kept on smooth wedge as shown in the figure. x and y are the axis for theblock as shown. Wedge can be pushed or pulled by horizontal force. Then accelerationof block along x axis with respect to ground will be: (A) g sin if the wedge is at rest.(B) g sin if the wedge is moving towards right.(C) g sin if the block is stationary with respect to the wedge.(D) g sin if block moves up with respect to wedge.


This Section Contains 2 questions. Each question contains 3 or 4 statements S1, S

2, S

3 or S

4. Each

statement is either true (T) or false (F). Each question has 4 choices (A), (B), (C) and (D) each of whichcontains whether S

1, S

2, S

3 or S

4 are true or false. Exactly one choice contains the correct order of

truthness or falseness of S1, S

2, S

3 or S

4 respectively and is the correct choice.

58. S1 : The dot product of tangential acceleration and angular velocity in circular motion is always zero.

S2 : Friction force acting on a given particle or object always decreases the kinetic energy of that particle orobject.

S3 : Sum of work done by the action and reaction force is independent of reference frame.

(A) T F T (B) T T F (C) T T T (D) F F F

59. S1 : If speed of a body is varying, its velocity must be varying and it must have non-zero acceleration

S2 : All contact forces are electromagnetic in nature.

S3 : Rate of separation is scalar quantity.

(A) T F T (B) T T F (C) T T T (D) F F F



SECTION - IV

Matrix - Match TypeThis section contains 2 questions. Each question contains statements given in twocolumns, which have to be matched. The statements in Column-I are labelledA, B, C and D, while the statements in Column-II are labelled p, q, r, s and t. Anygiven statement in Column-I can have correct matching with ONE OR MOREstatement(s) in Column-II. The appropriate bubbles corresponding to the answersto these questions have to be darkened as illustrated in the following example.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 ofbubbles will look like the following :

60. In column�I condition on velocity, force & acceleration of particle is given. Resultant motion is described

in column�II. u = initial velocity, F

= resultant force and v

= instantaneous velocity..

Column�I Column�II

(A) 0F.v all the time and |F|

= constant (p) path will be circular

(The particle always remains in one plane)

(B) 0F.u and F

= constant (q) speed may/will increase

(C) 0Fu and F

= constant (r) speed may decrease

(D) j�3i�2u and acceleration is (s) Path will be straight line

)j�9i�6(ka (where K is an integer)

(t) Path will be parabolic



61. Column-I gives certain situations regarding a point object and its image formed by an optical instrument.Consider direction of incident ray as positive x-direction. The possible optical instruments are concave andconvex mirrors or lenses as given in Column-II.

lens or mirror

principal axis

Column I Column II(A) If u × v = negative and y0 × yi = positive (p) Concave mirror then the optical instrument is(B) If u × v = positive and y0 × yi = positive (q) Convex mirror then the optical instrument is(C) If u × v = positive and y0 × yi = negative (r) Concave lens then the optical instrument is(D) If u × v = negative and y0 × yi = negative (s) Convex lens then the optical instrument is

(t) Plane mirrorWhere, u = x-coordinate of object, v = x-coordinate of image, y0 = y-coordinate of object and yi = y-coordinateof image.

SECTION - V

Integer Answer Type




62. The potential energy (in joules) function of a particle in a region of space is given as :U = (2x2 + 3y3 + 2z)

Here x, y and z are in metres. Find the magnitude of x component of force (in newton) acting on the particleat point P(1m, 2m, 3m).

63. A person decided to walk on an escalator which is moving at constant rate (speed). When he moves atthe rate 1 step/sec, then he reaches top in 20 steps. Next day he go 2 steps/sec. and reaches top in32 steps. If speed of escalator is n steps/sec. Then value of n is :

(Space for rough work)

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PAPER - 1 - WordPress.com · PAPER - 1 PART TEST-2 (PT-2) TARGET : IIT-JEE 2011 INSTRUCTIONS A. General : 1.This Question Paper contains 63 questions. 2.The question paper CODE is