G0G1 G2 SFT 2 Held on 02 Aug 2015 Question Paper

23
Please read the instructions carefully. You are allotted 5 minutes specifically for this purpose. Date : 2-8-2015 Duration : 3 Hours Max. Marks : 264 PAPER - 1 SPECIAL FULL TEST [SFT-02] TARGET : IIT- JEE 2016 CLASS : XII [G0-G2] CODE 1 INSTRUCTIONS A. General : 1. This Question Paper contains 60 questions. 2. The question paper CODE is printed on the left hand top corner on this sheet of the 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 open the question-paper booklet before instructed to do so by the invigilators. 8. Write your Name and Roll No. in the space provided on the front page of this booklet.. 9. Use of Pencil on ORS is strictly prohited. B. Filling the bottom-half of the ORS : 10. Write your Roll No., Name and Class and sign with pen in appropriate places. Do not write these anywhere else. 11. Darken the appropriate bubbles below your roll number and paper code with Black/Blue ball pen. 12. Erasing the filled bubbles are not allowed in any case. C. Question paper format and Marking scheme : 13. The question paper consists of 3 parts (Physics, Chemistry & Maths). Each part consists of Three sections. 14. For each question in Section I, you will be awarded 4 marks if you darken only the bubble corresponding to the correct answer and zero mark if no bubble is darkened. No negative marks will be awarded for incorrect answer in this section. 15. For each question in Section II you will be awarded 4 marks if you darken the bubble corresponding to the correct answer and zero mark if no bubble is darkened. In all other cases, minus two (–2) mark will be awarded. 16. For each question in Section–III : you will be awarded 2 marks for each row in which you have darkened the bubble(s) corresponding to the correct answer. Zero mark if no bubble is darkened.In all other cases, minus one (–1) mark will be awarded. Thus, each question in this section carries a maximum of 8 marks. STUDENT NAME : _____________________________________ Roll No. : ____________ Address : R-24, Opp. Railway Track, Zone-II, M.P. Nagar, Bhopal (M.P.) Pin : 462011 Phone No. : 0755 - 3197700 / 3196999 url: www.spectrum.ac.in email: [email protected]

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Transcript of G0G1 G2 SFT 2 Held on 02 Aug 2015 Question Paper

Page 1: G0G1 G2 SFT 2 Held on 02 Aug 2015 Question Paper

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

Date : 2-8-2015 Duration : 3 Hours Max. Marks : 264

PAPER - 1

SPECIAL FULL TEST [SFT-02]TARGET : IIT- JEE 2016

CLASS : XII [G0-G2]

CODE

1

INSTRUCTIONSA. General :

1. This Question Paper contains 60 questions.2. The question paper CODE is printed on the left hand top corner on this sheet of the 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 open the question-paper booklet before instructed to do so by the invigilators.8. Write your Name and Roll No. in the space provided on the front page of this booklet..9. Use of Pencil on ORS is strictly prohited.

B. Filling the bottom-half of the ORS :10. Write your Roll No., Name and Class and sign with pen in appropriate places. Do not write these anywhere else.11. Darken the appropriate bubbles below your roll number and paper code with Black/Blue ball pen.12. Erasing the filled bubbles are not allowed in any case.

C. Question paper format and Marking scheme :13. The question paper consists of 3 parts (Physics, Chemistry & Maths). Each part consists of Three sections.14. For each question in Section I, you will be awarded 4 marks if you darken only the bubble corresponding

to the correct answer and zero mark if no bubble is darkened. No negative marks will be awarded forincorrect answer in this section.

15. For each question in Section II you will be awarded 4 marks if you darken the bubble corresponding to thecorrect answer and zero mark if no bubble is darkened. In all other cases, minus two (–2) mark will beawarded.

16. For each question in Section–III : you will be awarded 2 marks for each row in which you have darkenedthe bubble(s) corresponding to the correct answer. Zero mark if no bubble is darkened.In all other cases,minus one (–1) mark will be awarded. Thus, each question in this section carries a maximum of 8 marks.

STUDENT NAME : _____________________________________ Roll No. : ____________

Address : R-24, Opp. Railway Track, Zone-II, M.P. Nagar, Bhopal (M.P.) Pin : 462011Phone No. : 0755 - 3197700 / 3196999

url: www.spectrum.ac.in email: [email protected]

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PART – I (PHYSICS)

SECTION – I(One Integer Value Correct Type)

This section contains 8 questions. Each question, when worked out will result in on integerfrom 0 to 9 (both inclusive).

1. A positively charged particle of charge ‘q’and mass ‘m’ is released from large distance on the

axis of a negatively and uniformly charged fixed disc of radius R and charge –Q. If the speed

of the particle at the centre of the disc is NkQqmR , find the value of N. [Neglect gravity]

2. The electric potential varies in space according to the relation V = 3x + 4y. A particle of mass

10Kg starts from rest from point (2, 3.2) under the influence of this field. Find the velocity of theparticle when it crosses the x-axis. The charge on the particle is +1mC. Assume V and (x, y)

are in S.I. units.3. Three concentric, thin, spherical, metallic shells have radii 1 cm, 2 cm and 4 cm and they are

held at potentials 10 V, 0 V and 40 V respectively. Taking the origin at the common centre,calculate the potential (in V) at r = 1.25 cm.

4. An ammeter and a voltmeter are connected in series to a cell of e.m.f. 12 volts. When a certainresistance is connected in parallel with voltmeter the reading of voltmeter is reduced 3 times

whereas the reading of ammeter increases 3 times. Find the voltmeter reading after the

connection of resistance.5. Three resistors and two batteries are connected as shown in figure. Find the value of R if the

potential of the point a is greater than that of b by 7V.

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6. The figure shows two circuits with a charged capacitor that is to be discharged through a

resistor as shown. The initial charge on capacitors is 2

1

qq

= 2. If both switches are closed at

t = 0, the charges become equal at 10–4 l n2 sec. Find the resistance R (in Ω).

q1

–q1 5µF5Ω

q2

–q2 10/3µFR

7. An elevator at rest which is at 10th floor of a building is having a planemirror fixed to its floor. A particle is projected with a speed 2 m / s andat 45° with the horizontal as shown in the figure. At the very instant ofprojection, the cable of the elevator breaks and the elevator starts fallingfreely. What will be the separation between the particle and its image 0.5second after the instant of projection ?

8. The potential energy function for a two dimensional force is U = +2x3 – 4x2y + 6y2 where U isin joules, x and y are in meters. The force (in N) acting on particle at (3, 2) is . Find A + B.

SECTION – II(One or More Than One Options Correct Type)

This section contains 10 multiple choice questions. Each question has four choices (A), (B),(C) and (D) out of which ONE or MORE THAN ONE are correct.

9. A particle rotating in x-y plane on a circle of radius 2 m as shown. At certain instant particle isat point P and its acceleration is j8i6 − . Then at this moment (all quantities are in S.I.units)(A) Angular acceleration = k3−

y

x

P(B) Velocity = i4−

(C) Angular velocity = k2−

(D) Centripetal acceleration = j8−10. A turn of radius 20m is banked for the vehicles going at speed of 36 km/h. If the coefficient of

static friction between the road and the tyre is 0.4, what are the possible speeds of a vehicleso that it neither slips down nor skids up?(A) 15 km/hr (B) 27 km/hr (C) 38 km/hr (D) 60 km/hr

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11. A particle is given an initial speed u from the lowest point inside a fixed smooth spherical shellof radius R=1 m that it is just able to complete the circle. Acceleration of the particle when itsvelocity is vertical is

(A) g 10(B) g R

u(C) g 2

(D) g 612. In figure, a block of mass m is released from rest when spring was in its natural length. The

pulley also has mass m but it is frictionless. Suppose the value of m is such that finally it is justable to lift the block M up after releasing it.

(A) The weight of m required to just lift M is M g2

(B) The tension in the rod, when m is in has zero acceleration Mg2 m

M

Rod

String

(C) The normal force acting on M when m has zero acceleration M g2

(D) The tension in the string when displacement of m is maximum possible is Mg13. An object far away is moving with a constant velocity along the principal axis of a stationary

concave mirror towards its pole.(A) The image always moves in a direction opposite to the velocity of the object.(B) The image first moves in a direction opposite to the velocity of the object then in the samedirection(C) The size of image increases, then decreases and then increases again.(D) The size of image increases and then decreases.

14. The man, whose height is 1.75 m is standing at a distance I = 6m from a vertical pillar of height

h = 7 m. At what distance from the man should we put a small flat mirror on the ground horizontallyso that he can see the image of the top of the pillar ?(A) 4.8 m (B) 1.2 m (C) 5.2 m (D) 4.2 m

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15. The two plates X and Y of a parallel plate capacitor of capacitance C are given a charge ofamount Q each. X is now joined to the positive terminal and Y to the negative terminal of a cellof emf E = Q/C.(A) Charge of amount Q will flow from the negative terminal to the positive terminal of the cellinside it.(B) The total charge on the plate X will be 2Q.

(C) The total charge on the plate Y will be zero.

(D) The cell will supply CE2 amount of energy.

16. Consider a gaussian spherical surface, covering a dipole of charge q and –q, then

(A) qin = 0 (Net charge enclosed by the spherical surface)

(B) φnet = 0 (Net flux coming out the spherical surface)

(C) E = 0 at all points on the spherical surface

(D) ∫ sd·E rr = 0 (Surface integral of E

rover the spherical surface)

17. Three metallic plates out of which middle is given charge Q as shown in the figure. The area of

each plate is same.

d 3d0 Q 0

(A) The charge appearing on the outer surface of extreme left plate is Q2

(B) The charge appearing on the right surface of middle plate is Q4

(C) Each of the facing surfaces will bet equal and opposite.

(D) The charge on surface with separation 'd' is more than that on other two charge surfaces.

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18. A current 0.1 A flows through the 25 Ω resistor as shown inthe figure. Then :(A) current through the 80Ω resistor is 0.4A.(B) current through the 60Ω resistor is 0.025A. (C) emf of the battery is 28 V.(D) emf of the battery is 24 V.

SECTION – IIIMatrix – Match Type

This section contains 2 questions. Each question contains statements givenin two columns, which have to be matched. The statements in Column-I arelabelled 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 withONE OR MORE statement(s) in Column-II. The appropriate bubblescorresponding to the answers to these questions have to be darkened asillustrated 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 of bubbleswill look like the following

19. Column–I Column–II(A) Plates of an isolated, charged, parallel (p) Electric energy stored inside capaci

tor increases in the process.plate, air core capacitor are slowlypulled apart.

(B) A dielectric is slowly inserted inside (q) Force between the two plates of thecapacitor remain unchanged.

an isolated and charged parallel plateair cored capacitor to completely fill thespace between plates.

(C) Plates of a parallel plate capacitor (r) Electric field in the region betweenconnected across a battery are slowly plates remain unchanged.pulled apart.

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(D) A dielectric slab is slowly inserted inside (s) Total electric energy stored insidecapacitor decreases in the process.

a parallel plate capacitor connectedacross a battery to completely fill thespace between plates.

(t) Electric field in the region decreases.20. Column–II shows some charge distributions and column–I has some statement about electric

field at four points A, B, C, D. Match column-I with column-II.Column–I Column–II

(A) AEr

has x component only (p)

x

y

A

B

CD

Solid non conducting sphere of radius R of volumetric charge density with four symmetrical cavities. All the five sphere's centre lie in same plane.

ρ

(B) BEr

has y component only (q)

θ

B

x

y

C A

D

λ λ θ = sin 0

A very small circular filament lying in xy-plane. Points B, C and D are at large distance compared to radius of circle.

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(C) CEr

has y component only (r)

x

y

A

B

CD

A charged spherical conductor with a cavity in it.

(D) DEr

is zero (s)

x

y

A

B

C

Dq0

A hollow thick spherical charge conductor with a concentric cavity. Charge q placed inside at centre of cavity.

0

(t)

B

x

y

C A

D

pr

A small electric dipole placed at origin. A,B,C and D are four points at large distance from origin.

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PART - II (CHEMISTRY)

SECTION - I(One Integer Value Correct Type)

This section contains 8 questions. Each question, when worked out will result in on integerfrom 0 to 9 (both inclusive).

21. The vapour pressure of water at room temperature is lowered by 5% by dissolving a solute init, Then the approximate molality of solution is

22. How many alkyen are possible if

CH3 CH2 C CH CH2 CH3

CH2 ph

Brheated with NaNH2

23. In a compound XY, and ionic radii X+ and Y– are 88 pm and 200 pm respectively. What is thecoordination number of X+ ?

24. ether

Na → in the reaction how many 2º hydrogens are present in the product

25. How many isomeric aromatic C6H2Br4 are possible which on bromination Br2/FeBr3 gives only1 type of product.

26. When excess of ammonia is treated with Cl2 then what is the oxidation number of nitrogen inthe product formed

27. Ka for butyric acid is 2× 10–5. Calculate pH of 0.2 M aquous solution C3H7COONa28. How many Si-atoms per-tetrahedral unit are shared in cyclic silicate

SECTION - II(One or More Than One Options Correct Type)

This section contains 10 multiple choice questions. Each question has four choices (A), (B),(C) and (D) out of which ONE or MORE THAN ONE are correct.

29. An ideal solution has two components A and B. A is more volatile than B, i.e, A BP P° °> and also

A totalP P° > . If XA and YYA are mole fractions of components A in liquid and vapour phases, then :(A) XA = YA (B) XA > YA (C) XA < YA (D) Data insufficent

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30. A 0.1 M solution of glucose (molecular weight 180 g mol–1) and a 0.1 M solution ofurea(molecular weight = 60 g mol–1) are placed on the two sides of a semi-permeablemembrane to equak heights. in this context, which of the following statements is correct ?(A) glucose will flow across the membrane into the urea solution.(B) Water will flow across the membrane from the urea solution into the glucose solution.(C) Water will flow across the membrane from the glucose solution into the urea solution.(D) There will be no net movement across the membrane.

31. For a non - ideal solution with a negative deviation :(A) ∆ Hmix = –ve (B) ∆ Vmix = –ve (C) ∆ Ssurrounding = –ve(D) ∆ Gmix = –ve

32. For the reaction

C

CH3

I

DH

NH3

Acetone X

Optically pure

(A) X is C

CH3

DH

NH2 (B) X is C

CH3

D H

NH2

(C) Product is optically pure (D) Product is racemic mixture

33. CH C Br3

CH3

CH3

(a)

CH CH Br3

CH3

(b)

CH CH Br3 3

(c)

Correct option regarding above compounds is :(A) rate of 1N

S a > b > c (B) rate of 2NS a < b < c

(C) rate of E2 a < b < c (D) rate of E1 a > b > c

34. Given Ksp CaF2 = 1.2 × 10–10 . When equal volume of the following solutions are mixed precipi-tation of CaF2 will occur with(A) 10–3 M Ca2+ and 10–2 M F–

(B) 10–2 M Ca2+ and 10–3 M F–

(C) 10–4 M Ca2+ and 10–4 M F–

(D) 10–4 M Ca2+ and 10–3 M F–

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35. Which of the following mixtures can act as a buffer ?(A) NaOH + HCOONa (1 : 1 molar ratio) (B) HCOOH + NaOH (2 : 1 molar ratio)(C) NH4Cl + NaOH (2 : 1 molar ration) (D) HCOOH + NaOH (1 : 1 molar ratio)

36. Select the correct statement(s) :(A) the rate of reaction decreases with decrease in temperature(B) The rate of reaction is uniform in zero order reaction(C) The rate of reaction depends upon the surface area of the solid reactants(D) Average and instantaneous rate of reaction defined for micro and macro-scopic timeinterval respectively

37. In fcc structure octahedral sites are present at :(A) edge centers (B) face centers (C) body centers (D) Corners

38. Under hydrolytic conditions, the compounds used for preparation of linear polymer and forchain termination, respectively, are(A) CH3SiCl3 and Si(CH3)4 (B) (CH3)2SiCl2 and (CH3)3SiCl(C) (CH3)2SiCl2 and CH3SiCl3 (D) SiCl4 and (CH3)3SiCl

SECTION - IIIMatrix - Match Type

This section contains 2 questions. Each question contains statements givenin two columns, which have to be matched. The statements in Column-I arelabelled 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 withONE OR MORE statement(s) in Column-II. The appropriate bubblescorresponding to the answers to these questions have to be darkened asillustrated 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 of bubbleswill look like the following

39. Column I Column II(A)HNO2 ∆→ (p) redox reaction(B)Cu + HNO3 (dilute) → (q) One of the products has trigonal planar structure(C) Mn 4 2O NO H− − ++ + → (r) one of the product is paramagnetic(D) N 2

3 2 4O H SO Fe− ++ + → (s) Disproportionation(t) one of the product has central atom in + 5 oxidation number

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40. Match the following (one term in column-I may match with more than one terms in column-II)(E1

CB is elimination via conjugate base that is anion intermediate)

-

-

Colum n I Colum n II(A) CH – CH – CD3 3

Ph – CH – CD and3 Ph – CH – CH 3

|

| |

Br

Br Br

on reaction with C H O2 5

gives CH = CH – CD2 3

(B) PhCH CH Br gives elimination faster than PhCD CH Br. The mechanism is

2 2

2 2

PhCH CH Br in presence of C H OD / C H Ogives good yield of PhCD CH Br along with alkene

2 2 2 5 2 5

2 2

(C)

(D)

on elimination, yield alkene at the same rate

(p) The reaction is E1

(q) The reaction is E2

(r) The reaction is E1cB

(s) The reaction is unimolecular

(t) No intermediate is formed

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

Date : 2-8-2015 Duration : 3 Hours Max. Marks : 240

PAPER - 2

SPECIAL FULL TEST [SFT-02]TARGET : IIT- JEE 2016

CLASS : XII [G0-G2]

CODE

1

INSTRUCTIONSA. General :

1. This Question Paper contains 60 questions.2. The question paper CODE is printed on the left hand top corner on this sheet of the 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 open the question-paper booklet before instructed to do so by the invigilators.8. Write your Name and Roll No. in the space provided on the front page of this booklet..9. Use of Pencil on ORS is strictly prohited.

B. Filling the bottom-half of the ORS :10. Write your Roll No., Name and Class and sign with pen in appropriate places. Do not write these anywhere else.11. Darken the appropriate bubbles below your roll number and paper code with Black/Blue ball pen.12. Erasing the filled bubbles are not allowed in any case.

C. Question paper format and Marking scheme :13. The question paper consists of 3 parts (Physics, Chemistry & Maths). Each part consists of Three sections.14. For each question in Section I, you will be awarded 4 marks if you darken only the bubble corresponding

to the correct answer and zero mark if no bubble is darkened. No negative marks will be awarded forincorrect answer in this section.

15. For each question in Section II you will be awarded 4 marks if you darken the bubble corresponding to thecorrect answer and zero mark if no bubble is darkened. In all other cases, minus two (–2) mark will beawarded.

16. For each question in Section–III : you will be awarded 4 marks if you darken the bubble corresponding tothe correct answer and zero mark if no bubble is darkened. In all other cases, minus two (–2) mark will beawarded.

STUDENT NAME : _____________________________________ Roll No. : ____________

Address : R-24, Opp. Railway Track, Zone-II, M.P. Nagar, Bhopal (M.P.) Pin : 462011Phone No. : 0755 - 3197700 / 3196999

url: www.spectrum.ac.in email: [email protected]

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PART–I (PHYSICS)

SECTION – I(One Integer Value Correct Type)

This section contains 8 questions. Each question, when worked out will result in on integerfrom 0 to 9 (both inclusive).

1. Three infinitely long, straight thin rods each carrying charge density

+λ and mass per unit length m are equally spaced as shown in figure.The middle rod is displaced, through a very small distance x in the

plane of figure while the other two rods held fixed. Then show that

motion of the rod is SHM. If the frequency of oscillation is

20

2N md

λπ ε , find the value of N.

2. An electric dipole consists of charges + 2.0 × 10–7 C separated by a

distance of 2.0 × 10–3m. It is placed near a long line charge of linear

charge density 4.0 × 10–4 C/m as shown in figure, such that the negativecharge is at a distance of 2.0 cm from the line charge. Find the force

(in Newton) acting on the dipole, upto nearest integer. 3. Four identical free point positive charges q (=1µC) each are located at the four corners of

a square of side 1 m. A negative charge is placed at the centre of the square to obtainequilibrium of all the charges. What is the total potential energy (in milli Joules) of thesystem assuming the reference point at infinity ?

4. In the circuit shown in the figure the electromotive force of the batteryis 9 V and its internal resistance is 15 Ω. The two identical voltmeters

can be considered ideal. Let V1 and V1' reading of 1st voltmeter when

switch is open and closed respectively. Similarly, V2 and V2' be thereading of 2nd voltmeter when switch is open and closed respectively.

'2 2

'1 1

V VV V

−− =

20Ω10Ω

15Ω9V

V1 V2

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5. Find the effective resistance between points A and B.

6. The figure shows four identical conducting plates each of area A. The separation betweenthe consecutive plates is equal to L. When both the switches are closed, if charge present

on the upper surface of the lowest plate from the top is written as 0 0xV ALε

,then what is the

value of x ? Treat symbols as having usual meaning.

7. A handheld mirror contains a plane mirror on one of its side and a concave mirror of radiusof curvature of 60 cm on its other side. You hold the plane mirror 15 cm from your face and

notice a spot on the face. By what factor will the image of the spot be enlarged if you turn

the mirror, but still keep it at a distance of 15 cm from your face ?

8. Two beads of mass m and 2m are connected by a massless rod of length R and threaded

onto a smooth circular wire of radius R. When the wire rotates uniformly about a verticaldiameter, the beads do not slide on it and rod remains vertical as shown. What must be the

angular velocity (in rad/s) of the wire ?

Radius R = 35

m.R

m

2m

R

ω

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SECTION – II(One or More Than One Options Correct Type)

This section contains 8 multiple choice questions. Each question has four choices (A), (B),(C) and (D) out of which ONE or MORE THAN ONE are correct.

9. Which of the following statements is TRUE for a system comprising of two bodies in contact

exerting frictional force on each other :

(A) total work done by static friction on whole system is always zero.(B) work done by static friction on a body is always zero

(C) work done by kinetic friction on a body is always negative

(D) total work done by internal kinetic friction on whole system is always negative10. A body of mass 1 kg tied to one end of a spring of force constant 5 N/m is whirled round in

horizontal plane with a constant angular velocity 1 rad s–1. The elongation in the spring is 5

cm. The original length of the spring is(A) 20 cm (B) 40 cm (C) 50 cm (D) 25 cm

11. A particle is moving in a circular path of radius 1m with a constant angular velocity of π rad./

s in anticlockwise direction. The circle is in xy-plane with center at origin. At t = 0, the particleis at (1, 0).

(A) its velocity at t = 13 sec. is

3ˆ ˆi j m / s2 2π π

+

(B) its velocity at t = 13 sec. is

3 ˆ ˆi j m / s2 2

−π π+

(C) its acceleration at t = 13 sec. is

2 21 3ˆ ˆi j m / s2 2

−π +

(D) its acceleration at t = 13 sec. is

2 23 1ˆ ˆi j m / s2 2

−π +

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12. Which of the following is(are) correct.(A) the image & object are never on different sides of focus in a spherical mirror

(B) a virtual image must be erect

(C) an image formed in a plane mirror must have same speed as the object has(D) laws of reflection are same for all wave lengths.

13. For the arrangement of identical capacitors shown, what is the equivalent capacitance ?

(A) 5C2 (B)

5C3

(C) 2C3 (D)

3C5

14. A man is walking under an inclined mirror at a constant velocity V m/s along the X axis. If themirror is inclined at an angle θ with the horizontal then what is the velocity of the image ?

(A) ˆ ˆV sin i V cos jθ + θ

(B) ˆ ˆV cos i V sin jθ + θ

θ

y

x(C) ˆ ˆV sin2 i V cos2 jθ + θ

(D) ˆ ˆV cos2 i V sin2 jθ + θ

15. The diagram includes an ideal source with emf of 100 V, resistance R1 = 1 ohm, R2 = 5ohms, and capacitor C = 1 F. Which of the following can be a possible value of current I inthe circuit after the closure of key K ?(A) 40A

(B) 60A

C

R2R1

I

ε

K(C) 80A

(D) 100A

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16. In the circuit shown R1 = R2 = 10 Ω and resistance per unit length of wire PQ = 1Ω/cm andlength PQ =10 cm. If R2 is made 20 Ω then to get zero deflection in galvanometer. S ismidpoint of wire PQ.

R1 R2

12VP S Q

G

R

(A) The jockey at P can be moved towards right 2 cm.(B) The jockey at Q can be moved towards right 2 cm.(C) The jockey at S can be moved towards left a distance 5/3 cm.(D) The jockey at all positions fixed and R1 should be made 20 Ω.

SECTION – IIIComprehension Type (Only One Option Correct)

This section contains 2 paragraphs, each describing theory, experiments, data etc. 4 ques-tions relate to the two paragraphs with two questions on each paragraph. Each questionhas one or more correct answer among the four given options (A), (B), (C) and (D).

Paragraph for question nos. 17 to 18All bulbs consume same power. The resistance of bulb 1 is 36Ω.

1

3 2

4

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17. What is the resistance of bulb 3 :(A) 4Ω (B) 9Ω (C) 12Ω (D) 18Ω

18. What is the resistance of bulb 4 :

(A) 4Ω (B) 9Ω (C) 12Ω (D) 18Ω

Paragraph for question nos. 19 & 20

A mirror is mounted on a stand as shown. The mirror has negligible mass. On the otherside, massless arrow is mounted. The natural length of the spring is 1m. The whole systemis on frictionless surface. The two bodies are pulled out such that spring is extended by 10cm and released.

k = 30 N/m

2kg 3kg

19. What is the minimum distance between arrow and its image during subsequent motion ?

(A) 1.6 m (B) 1.8 m (C) 2 m (D) 1.85 m

20. What is the maximum velocity of the image of the arrow as seen by a person on the ground ?

(A) 70 cm/s (B) 40 cm/s (C) 35 cm/s (D) 28 cm/s

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PART-II (CHEMISTRY)

SECTION - I(One Integer Value Correct Type)

This section contains 8 questions. Each question, when worked out will result in on integerfrom 0 to 9 (both inclusive).

21. Find the total number of stereo isomer of the compound

DD||

CHCHCHCHCHCH 33 −−=−−

22.. Depression is freezing point is 10.8 K for NaCl solution. If Kf for water is 1.8 K/kg mol,moles of NaCl dissolved in 1 kg water is :

23.Br

KCN

AcetonA

H O3+

B NaOH/CaO

∆C

What is the total number of carbon atom in main chain of the compound C

24. A student was assigned a certain task by his teacher in chemistry lab. During the experiment,student dropped the flask containing 250 ml, 5 molar NaOH solution. Due to this 50 ml ofsolution out of 250 ml, had fallen on the floor. Thinking that teacher may punish him for thismistake, he replenished the left over solution with 50 ml of water. The new molarity ofNaOH solution will be.

25. (i)

CH3

H

Ph

Cl → 32 AgNO/OH (ii) H

Ph

D

OH 2Red 'P' Br+→

The total number of products obtained at the end of reactions (i)and (ii) is :26. A vessel has nitrogen gas and water vapours in equilibrium with liquid water at a total

pressure of 1.2 atm. The partial pressure of water vapours is 0.3 atm. The volume of thisvessel is reduced to one third of the original volume, at the same temperature, then totalpressure(in atm) of the system is :(Neglect volume occupied by liquid water)

27. The solubility product of SrF2 in water is 8×10–10. If the solubility of the SrF2 in 0.1 M NaFaqueous solution is (n × 10–8) then find n.

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28. How many lone pairs are present in the molecule N2O

SECTION - II(One or More Than One Options Correct Type)

This section contains 8 multiple choice questions. Each question has four choices (A), (B),(C) and (D) out of which ONE or MORE THAN ONE are correct.

29. The following carbocation rearranges to

(A) (B)

(C) (D)

30. Vant’t Hoff factors of same concentration aqueous solutions of X, Y, and Z are 2.8,1.8 and3.5, respectively. which of the following statement(s) is/are correct ?(A) BP: X < Y < Z (B) FP : Z < X < Y(C) osmotic pressure : X = Y = Z (D) VP : Y < X < Z

31. Which can give white precipitate with AgNO3

(A) (B) (C) (D)

32. Which of the following is/are acidic oxide(A) N2O (B) NO2 (C) NO (D) P2O3

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33. Which of the following will produce NO2(g) as one of the product(A) Heating of Pb(NO3)2 (B) Reacting Cu with hot concentrated HNO3(C) Reacting I2 with hot conc. HNO3 (D) Heating NaNO3

34. Which of the following is/are true statement(A) In graphite C-atoms are in sp3 hybridisation (B) It is thernodynamically more stable thandiamond(C) it is relatively poor conductor of heat as compared to diamond(D) f C(diamond)( Hº ) 0∆ >

35. Which of the following is/are true for square arrangement in 2-D(A) We require 6 parameters to specific the unit cell(B) Coordination numbrr is 6 (C) packing fraction is 74%(D) it will generate simple cubic arrangement in 3-D

36. For the first order reaction if temperature T1 > T2 than which is/are true

(A) (B)

(C) (D)

SECTION - IIIComprehension Type (Only One Option Correct)

This section contains 2 paragraphs, each describing theory, experiments, data etc. 4 ques-tions relate to the two paragraphs with two questions on each paragraph. Each questionhas one or more correct answer among the four given options (A), (B), (C) and (D).

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Paragraph for Question Nos. 37 to 38

An organic compound (A) C7H15Cl on treatment with alcoholic caustic potash majorlygives a hydrocarbon (B) C7H14. (B) on treatment with ozone and Zn and subsequenthydrolysis gives acetone and butyraldehyde (n-butanal). Compound A is optically inactivethen answer the following questions.

37. Compound A on treatment with KOH (aq) gives

(A) OH

(B) OH

(C) OH

(D) OH

38. Identify true statement about in A(A) It responds to 2

NS reaction with high yield. (B) It is 2º halide

(C) It is 3º halide (D) It will not respond to 1NS reactions.

Paragraph for Questions Nos. 39 and 40Equal volume of 2 × 10–2 M HCl solution and 2 × 10–2 M CH3COOH solution are mixedtogether.[Given Ka (CH3COOH) = 2 × 10–5

, log2 = 0.3]

39. α for CH3COOH is(A) 10–3/2 (B) 2 × 10–3 (C) 10–2 (D) 2 × 10–2

40. The % H+(aq) ions from water(A) 10–8 (B) 1.8 ×10–10 (C) 1.8 × 10–12 (D) 0.9 × 10–10