Iitjee p j Xi Ft 1 2013-02-10 Paper II Code A

8/22/2019 Iitjee p j Xi Ft 1 2013-02-10 Paper II Code A

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Class: XI (P & J) Date: 10-02-2013 Time: 3:00 Hours Max. Marks: 240

VERY IMPORTANT

A. The question paper consists of 3 section (Section-1 contains Chemistry, Section-2 contains Mathematics and

Section-3 contains Physics). Please fill the OMR answer Sheet accordingly and carefully.B. Each Section contains (1 3 questions in Part-A, 1 question in Part-B an d 5 questions in Part-D)

and total number of pages are 32.

C. Please ensure that the Question Paper you have received contains ALL THE QUESTIONS in each Section

and PAGES. If you found some mistake like missing questions or pages then contact immediately to theInvigilator.

INSTRUCTIONS

PART-A

1. Q.1 to Q.5 are single correct type questions. Each question has four choices (A), (B), (C) and (D) out of whichONLY ONE is correct. For each question, you will be awarded 3 marks if you have darkened only the bubblecorresponding to the correct answer and zero mark if no bubble are darkened. In all other cases, minus one (1)mark will be awarded.

2. Q.6 & Q.7 are Paragraph type. Based upon the paragraph 2 single correct type questions have to be answered.Each of these questions has four choices (A), (B), (C) and (D) out of which ONLY ONE is correct. For each question,you will be awarded 3 marks if you have darkened only the bubble corresponding to the correct answer and zeromark if no bubble are darkened. In all other cases, minus one (1) mark will be awarded.

3. Q.8 & Q.9 are Reasoning type questions, contains Statement-1 (Assertion) and Statement-2 (Reason). Eachquestion has four choices (A), (B), (C) and (D) out of which ONLY ONE is correct. For each question you will beawarded 3 marks, if you have darkened only the bubble corresponding to the correct answer and zero mark if nobubble are darkened. In all other cases, minus one (1) mark will be awarded.

4. Q.10 to Q.13 are multiple correct type questions.Each question has four choices (A), (B), (C) and (D) out of whichONE OR MORE may be correct. For each question, you will be awarded 4 marks if you have darkened only thebubble corresponding to the correct answer and zero mark if no bubble are darkened. No negative marks will beawarded in this section.

PART-B

5. Q.1 has Three statements (A, B, C)given in Column-I and Four statements (P, Q,R, S) given in Column-II. Any givenstatement in Column-I can have correct matching with one or more statement(s) given in Column-II. For example, iffor a given question, statement B matches with the statement given in Q and R, then for the particular question,against statement B darken the bubbles corresponding to Q and R in the OMR. For each row, you will be awarded3 marks in which you have darkened the bubble(s) corresponding to the correct answer additional 3 Bonus markswill be awarded if all the answers are correct. Thus Q.1 carries a maximum of 12 marks.

PART-D

6. Q.1 to Q.5 are Integer Type questions. The answer to each question is a upto 4 digit ranging from

0 to 9999. The correct digit below the question number in the OMR is to be bubbled.For each question, you will be awarded 5 marks if you darken the bubble corresponding to the correct answer andzero mark if no bubble is darkened.

For example, if for a given question, your answer is 7 or 77 or 777 or 7777, then for the particular question, againstquestion number you must fill as 0007 or 0077, 0777 & 7777 respectively in the OMR. No negative marks will beawarded in this section.

7. Indicate the correct answer for each question by filling appropriate bubble in your answer sheet.

8. Use of Calculator, Log Table, Slide Rule and Mobile is not allowed.

9. The answers ofthequestionsmust bemarked byshadingthecircle against the questionby darkBlack Ball point Pen only.

CODE AFINAL TEST

PAPER-2 (JEEADVANCE)

USEFUL DATA

Atomic weights:Al = 27, Mg = 24, Cu = 63.5, Mn = 55, Cl = 35.5, O = 16, H = 1, P = 31,Ag= 108, N = 14, Li = 7,

I=127,Cr=52,K=39,S=32,Na=23,C=12,Br=80,Fe=56, Ca=40, Zn=65.5,Ti =48,Ba=137,U=238,Co= 59, B =11, F = 19, He = 4, Ne = 20, Ar = 40 , Mo = 96[Take : ln 2 = 0.69, ln 3 = 1.09, e = 1.6 1019, me= 9.1 10

31 kg ]Take 0 = 8.85 10

12 , g = 10 m/s2 unless otherwise stated


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CHEMISTRY

XI (P&J) Final Test [Paper-II] Code AA Page # 2

SPACE FOR ROUGH WORK

PART-A

[SINGLE CORRECT CHOICE TYPE]

Q.1 to Q.5 has four choices (A), (B), (C), (D) out of which ONLYONE is correct.

Q.1 Which ofthe followingoptions regarding bimolecularcollisions (BMC) inanidealgas are correct.(A) For a fixed amount of gas taken in a rigid vessel mean free path increases linearly with root oftemperature.(B)Collisionfrequencyofbimolecularcollisions(BMC) byonemolecule isdirectlydependent onabsolutetemperature.

(C) The average relative speed of approach of colliding molecules is taken asM

RT4

, (where M

represents Molar mass) when sample consists of singletype of molecules.(D)All the molecules will collide suchthat angle betweentheirdirectionofapproachis equal to zero.

Q.2 Decreasingorder ofenol content of thefollowing compounds in liquid phase

O O

(1)

O

(2)

O

(3) )4(OEtCCH

||O

3

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

Q.3 Ata equilibriumpressureof 3.3atm N2O4 undergoes 10%decomposition to NO2.At same temperature

what will be equilibrium pressure required for20%dissociation.(A) 3.3 atm (B) 6.6 atm (C) 4 atm (D) 0.8 atm


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CHEMISTRY



Q.4 What is the correct stereochemical assignment for each of the followingalkenes?

F

(I)

F

(II) (III) (IV)

(A) I = E; II = Z; III = E; IV = Z (B) I = Z; II = E; III = E; IV = E(C) I = E; II = E; III = Z; IV = Z (D) I = E; II = E; III = Z; IV = E

Q.5 Which ofthe following compounds has highest boiling point?

(A)O:

:

(B)S:

:

(C)N

H

: (D)B

[PARAGRAPH TYPE]

Q.6&Q.7 has four choices (A), (B), (C), (D) out of which ONLYONE is correct.

Paragraph for Question no. 6 & 7

Acids containing oxygen are called oxyacids. Prefix 'Pyro' is used when two units of a parent acidcondense together with removal of one watermolecule. When one unit of a parent acid on an averagelosesa watermolecule producing anacid having atleast oneacidichydrogen, theresulting acidis calledmeta - acid.

Q.6 Select correct statement with respect to pyrosulphuric acid and pyrophosphoricacid.(A) Pyrophosphoricacid has p p linkage whereas pyrosulphuric acid has S O S linkage.(B)Both havesame number of acidic hydrogens per unit.(C) Both have same number of p dbonds.(D) Both have two tetrahedra sharing onecorner.

Q.7 Which ofthe followingis/are correct?(A) Meta acid of sulphuric acid does not exist. (B)Pyro acid of nitric acid does not exist(C)Peroxyacid of chloric acid does not exist. (D)All of these are correct.


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CHEMISTRY



[REASONING TYPE]

Q.8 to Q.9 has four choices (A), (B), (C), (D) out of which ONLYONE is correct.

Q.8 Statement-1 : Radial part ofwave function of 4px and 3py are not same.Statement-2 : Radial part of wave functions depends on l& m and angular part ofwave function

depends on n & l.

(A) Statement-1 is true, statement-2 is true and statement-2 is correct explanation forstatement-1.(B)Statement-1is true,statement-2istrue and statement-2isNOT thecorrectexplanationforstatement-1.(C) Statement-1 is true, statement-2 is false.(D)Statement-1 is false, statement-2 is true.

Q.9 Statement 1 : Resonatingstructuresof NH

O

canshow geometricalisomerismatroomtemperature.

Statement 2 : Lonepairofnitrogenwill participateinresonancebut onlyE formisstablein itsresonatingstructure.

(A) Statement-1 is true, statement-2 is true and statement-2 is correct explanation forstatement-1.(B)Statement-1is true,statement-2istrue and statement-2isNOT thecorrectexplanationforstatement-1.(C) Statement-1 is false, statement-2 is true.(D)Statement-1 is true, statement-2 is false.

[MULTIPLE CORRECT CHOICE TYPE]

Q.10 to Q.13 has four choices (A), (B), (C), (D) out of which ONE OR MORE maybe correct.

Q.10 A gaseous organic compound CxH2yOy (M=150) was burnt with four times the amount of O2 gas asrequired for complete combustion. The resulting gases when cooled to 1 atm pressure & 300 K werefound to occupy(4.926) lit along with 0.9gm of water. Identifythe correct option(s).(A) If 10 ml of organic compound is taken then oxygen taken should be200 ml.

(B) Fraction of O bynumber in the compoundis3

2

(C) The compound should be C4H6O3.

(D) Percent of H bymass in the compound will be %15

100.


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CHEMISTRY



Q.11 Inwhich ofthe following reactionCO2 gas will evolve.

(A)

CO H2

3NaHCO (B)

OH

3NaHCO

(C) SOH

O

O

3NaHCO (D)

CH3CH3

CH3

OH

3NaHCO

Q.12 Select the correct statement.

(A)

NH2CH3

is more basic than

NH2

(B)

COOH

CH3is less acidic than

COOH

(C)

NMe2CH3

is more basic than

NMe2

(D)

NO2CH3

has shorterCNbond length than

NO2

Q.13 Which of the followinggas phase reactions wouldproceed spontaneously?(A) Kr + He+ Kr+ + He (B) Si + Cl+ Si+ + Cl(C) Cl+ I I+ Cl (D) O + S S + O


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CHEMISTRY



PART-B

[MATRIX TYPE]

Q.1 has three statements (A, B, C) given in Column-I and four statements (P, Q, R, S) given in Column-II.Anygivenstatement in Column-I can havecorrect matchingwith one ormore statement(s) givenin Column-II.

Q.1 Column I Column II

(A) CH C CH C CH3 2 3

O O

CH C = CH C CH3 3

OH O

(P) kf > kb

(B) H C N: :C N H+

(Q)diad tautomers

(C)

:

P

HO OH OH O OH OH

H

P (R) kf< kb

[ Keq =b

f

k

k] (S) triad tautomers


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CHEMISTRY



PART-D

[INTEGER TYPE]

Q.1 to Q.5 are "Integer Type" questions. (The answer to each of thequestions are upto 4 digits)

Q.1 Calculate minimum uncertainty involved in the locationof a particle whose deBroglie wavelength is

150 with an uncertaintyof 0.01 . Express answerin nm.


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CHEMISTRY



Q.2 A compoundCH 2 CH2

GG G(G=group)hasnet =0.8DandXanti = 0.6 then calculate the of gauche

form.


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CHEMISTRY



Q.3 Findthe total numberofelementswhich havehigherionisationenergythan their bothadjacentelements(either in a period or in a group in the long form of periodic table.)

Be, B, N, P, Ga, S, Mg


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CHEMISTRY



Q.4 Calculatedensity (gm/m3) ofarealgasat2atmpressureand500Kifmolarmass=164.2gm/moleandVander Waal constants a and b are a = 4.105 atm-litre2/mole2 and b = 0.1 litre/mole.[R = 0.0821 atm-litre/mole kelvin]


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CHEMISTRY



Q.5 Bohr's atomic model can be applied to multi electronic species if Zeff is considered instead of Z.Using Slater's rules, estimate the difference in the secondionisation energies (eV) ofNaandMg.[Gi ve your answer in near est whole number]


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MATHEMTICS


SPACE F OR ROUGH WORK

PART-A


Q.1 to Q.5 has fourchoices (A), (B), (C), (D) out of which ONLY ONE is correct.

Q.1 TriangleABC hasAB =AC, withBC = 7.Aline throughA and a point Don the opposite sidesplit the triangleABCas shown.The value ofcos

is

3 4C B

A

D

2

(A)7

4(B)

8

3

(C)7

3(D)

3

2

Q.2 PointAis the vertex of the parabolawhoseequation is y = x2 2. Points B and C are the intersections

of the parabola with the circlewhose equation is x2 + y2 = 8.The number of squareunits in the areaof

ABC, is(A) 8 (B) 4 (C) 12 (D) 16

Q.3 LetCr'sdenote the combinational coefficients in the expansion of the binomial(1 + x)14, thenthe value

of the sum

15

1r

1rCr is

(A) 215 (B) 216 (C) 217 (D) 218

Q.4 SetAconsists of 4 distinct and set-B consists of3 distinctelements. Numberof functions that can be

defined froma setAB whichare not onto is

(A) 35 (B) 45 (C) 63 (D) 9

Q.5 If the circle x2 + y2 = 4x+ 8y+ 5 intersects the line 3x 4y= m at two distinctpoints, then the number

ofintegralvaluesofm is

(A) 47 (B) 48 (C) 49 (D) 50


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MATHEMTICS



[PARAGRAPH TYPE]

Q.6 & Q.7 has fourchoices (A), (B), (C), (D) out of which ONLY ONE is correct.

ParagraphforQuestionnos.6&7

In a triangle ABC the lengths of AB, BC and CA are 13, 14 and 15 units respectively.

The altitudes of the triangleABC are concurrent at the point Hand ADis the altitude on BC.

Q.6 The circum radiusof the triangleABC is

(A)8

65(B)

8

63(C)

4

33(D)

2

17

Q.7 The distance between the point H to the centre of the circle that is circumscribed around theABC

maybe written in simplified radical formasq

pwhere p,qN. The least valueof sum (p + q), is

(A) 265 (B) 273 (C) 285 (D) 188

[REASONING TYPE]n

Q.8 to Q.9 has fourchoices (A), (B), (C), (D) out of which ONLY ONE is correct.

Q.8 Statement-1: f isanevenfunction, g and h are odd functions,all 3 being polynomials.Given f (1) = 0,

f (2) = 1, f (3) = 5, g (1) = 1, g (3) = 2, g (5) = 3, h (1) = 3, h (3) = 5 and h (5) = 1.

The value of )1(gfh)3(fhg)1(hgf is equal to zero.Statement-2: Ifa polynomial function P(x) is odd thenP(0)= 0.

(A)Statement-1 is true, statement-2 is true andstatement-2 is correct explanation forstatement-1.

(B)Statement-1 is true,statement-2 istrueandstatement-2 isNOT thecorrectexplanationforstatement-1.

(C)Statement-1 is true, statement-2 is false.

(D)Statement-1 is false, statement-2 is true.


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MATHEMTICS



Q.9 Let g : R R definedby g(x) = {ex}, where {x} denotes fractionalpart function.

Statement-1 : g(x)isperiodicfunction.

Statement-2 : {x}isperiodic function.

(A)Statement-1 is true, statement-2 is true andstatement-2 is correct explanation forstatement-1.

(B)Statement-1 is true,statement-2 istrueandstatement-2 isNOT thecorrectexplanationforstatement-1.

(C)Statement-1 is true, statement-2 is false.

(D)Statement-1 is false, statement-2 is true


Q.10 to Q.13 has fourchoices (A), (B), (C), (D) out of which ONE OR MORE maybe correct.

Q.10 Let L1bea linepassingthroughtheorigin andL

2be thelinex + y= 1. If theintercept madebythecircle

x2 + y2 x + 3y = 0 on L1

and L2

are equal, then L1

is

(A) x + y = 0 (B) x y = 0 (C) x + 7y = 0 (D) x 7y = 0

Q.11 The possible radius of a circle whose centre is at the origin and which touches the circlex2 + y2 6x 8y + 21 = 0, is

(A) 2 (B) 3 (C) 5 (D) 7

Q.12 Consider the lines L1

: 3x 4y + 2 = 0 and 3y 4x 5 = 0, then whichof the following statements is

correct?

(A) Thelinex + y + 3 = 0 bisects the acute anglebetween L1

and L2

containingthe origin.

(B) The line x y + 1 = 0 bisects the obtuseanglebetween L1

and L2

notcontainingtheorigin.

(C) The line x + y + 3 = 0 bisects the obtuseanglebetweenL1

and L2

containingtheorigin.

(D) Thelinex y + 1 = 0 bisects the acuteanglebetween L1

and L2

notcontainingtheorigin.


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MATHEMTICS



Q.13 Which ofthefollowingfunction(s)wouldrepresenta bijectivemapping.

(A)f :RR f (x) = | x | Sgn x whereSgndenotesSignumfunction

(B) g : RR g (x) = x3/5

(C) h : RR h (x) = x4 + 3x2 + 1

(D) k : R R k (x) =2xx

6x7x32

2

PART-B

[MATRIX TYPE]

Q.1 has three statements (A, B,C) given in Column-I and four statements (P, Q,R, S) given in Column-II.

Anygivenstatement in Column-I canhavecorrect matchingwith one ormore statement(s)givenin Column-II.

Q.1 Column-I Column-II

(A) The function f (x) =4x

2x3

has an inverse that canbewritten (P) even

in the form f1(x)=dcx

bx

. The value of (b + c + d) is (Q) odd

(B) Let f (x)=x1

x

and let g(x)=

x1

xr

. (R) prime

Let S bethe set ofall real numbers r such that f (g(x))= g (f (x))

for infinitelymanyrealnumberx.The numberofelements inset S is (S)compositenor

primeneither

(C) If f (x) = 2x + 1 then the value of x satisfying the equation

116)x(ffff)x(fff)x(ff)x(f , is


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MATHEMTICS



PART-D

[INTEGER TYPE]

Q.1 to Q.5 are"Integer Type" questions. (The answer to each of thequestions are upto 4 digits)

Q.1 Seven different lecturesare to bedelivered in 7 period ofa class ona particular day. Out of 7 lecturers

A,B and C are three of them. Find the numberofways inwhich a routine for the daycanbe made such

that 'A' deliver his lecture before 'B' and 'B' before 'C'.


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MATHEMTICS



Q.2 The terms a1, a

2, a

3form an arithmetic progression whose sum is 18. The terms (a

1+1),a

2, (a

3+ 2 )

in that order, forma geometric sequence. Find the sum ofall positivevaluesofa1.


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MATHEMTICS



Q.3 Find the smallest integral value of 'a' for which the inequation (a 1)x2 (a + 1)x + (a 1) 0

for all x 2.


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MATHEMTICS



Q.4 Let |9a 72 | + |8b+ 96 |+ |23c 69 | = 0. If the circle x2 + y2 + ax + by + c = 0 is orthogonal to the

circle x2 + y2 + 12x + 2ky + 9 = 0, then find the value of k.


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MATHEMTICS



Q.5 If 15

16sin

15

8sin

15

4sin

15

2sin

has the value equal to

b

awhere a and bN and are relatively

prime, then find the value of (a + b).


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PHYSICS



PART-A


Q.1 to Q.5 has four choices (A), (B), (C), (D) out of which ONLY ONE is correct.

Q.1 Two balls are simultaneously thrown vertically downwards and upwards respectively with the samespeed from same point at a height h. The first ball collides with the ground and stops. The separation

between the balls with time can be represented by the graph.

(A)S

t

(B)S

(C)

S

(D)S

Q.2 A particle ofmass m begins toslidedown ona fixed smooth sphere fromthetop, when it breaks off the

sphere,the tangential acceleration willbe

(A) 2g/3 (B) g (C)3

5g (D)

3

g

Q.3 A conveyor belt moves to the right withspeed v = 300 m/min.Apie man puts pies on the belt at a rate

of 20 per minute while walking with speed 30 m/min towards a reveiver at the other end. The frequency

with which they are received by thestationary receiver is

(A) 26.67 /minute (B) 30 /minute (C) 22.22 /minute (D)24/minute

Q.4 What is the temperature at which rms speed of molecules of hydrogen gas becomes 1000 m/s

(A) 80000 K (B) 8000 K (C) 800 K (D) 80 K

Q.5 A 5 liter glass vessel is filled to its brim with water. The coefficient of cubical expansion of water is

1.3 104/C and coefficient of volume expansion of glass is 80 106 /C. The temperature is in-

creased by 20C. How much water would overflow ?

(A) 5 cc (B) 8 cc (C) 10 cc (D) 13 cc


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PHYSICS



[PARAGRAPH TYPE]

Q.6 & Q.7 has four choices (A), (B), (C), (D) out of which ONLY ONE is correct.

ParagraphforQuestionnos.6&7

Two different sound sources produce sinusoidal waves.At given pointAin the medium, the first source

produces a wave whose equation is given by p1

= 1 (Pa) sin (2x 600t). Here x represents the

distance (in m) from the source and t is time in sec.At the same point A, the second source produces awave whose equation is given byp

2= 3 (Pa) sin (2x600t). Here x represents the distance (in m)

from the source. Point A is at a distance of 25 cm from the first source and at a distance of 50 cm from

the second source.

Q.6 What is the pressure amplitude at pointA.

(A) 1 Pa (B) 2 Pa (C) 5 Pa (D) 13 Pa

Q.7 At what time after t = 0 the excess pressureat point A will be zero.

(A)720

1 sec (B)900

1 sec (C)1800

1 sec (D)3600

1 sec

[REASONING TYPE]n

Q.8 to Q.9 has four choices (A), (B), (C), (D) out of which ONLY ONE is correct.

Q.8 Consider two stars having same radius behaving like black bodies.

Statement-1 : The star which is blue in colour emits more heat energythan the star which is red in

colour.

Statement-2 : Blue star is hotter than the red star.

(A) Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.

(B)Statement-1 is true, statement-2 is true andstatement-2 is NOT thecorrect explanation forstatement-1.

(C) Statement-1 is true, statement-2 is false.

(D) Statement-1 is false, statement-2 is true.


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PHYSICS



Q.9 A ball rolling purelyon horizontal groundis projected towards a wallas shown.The ball collides with the

wall, returns and re-enters therough region.

v0

Rough Smooth

Smoothwall

Statement-1 : Just after entering, thefriction on the ball is kinetic and towards right.Statement-2 : Friction opposes relative motion between surfaces in contact.

(A) Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.

(B)Statement-1 is true, statement-2 is true andstatement-2 is NOT thecorrect explanation forstatement-1.

(C) Statement-1 is true, statement-2 is false.

(D) Statement-1 is false, statement-2 is true.


Q.10 to Q.13 has four choices (A), (B), (C), (D) out of which ONE OR MORE may be correct.

Q.10 The first overtone of an open pipe and the fundamental note of a pipe closed at one end give 5 beats/secwhen sounded together. Ifthe length of the pipe closed at one end is 25 cm, what are the possible lengths

of the open pipe ? (Neglect end corrections and take the velocityof sound in air to be 340 m/s).

(A) m69

68(B) m

67

68(C) m

68

67(D) m

68

69

Q.11 Three simpleharmonic motions in the same direction having the same amplitude a and same period are

superposed. If each differs in phase from the next by 45, then

(A) the resultant amplitude (1 + 2 )a

(B) the phase of the resultant motion relative to the first is 90(C) the energyassociated with the resulting motion is 223 times the energyassociated with anysinglemotion.

(D)theresultingmotionis not simpleharmonic


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PHYSICS



Q.12 In which of the following cases, the work done bythe gas during the entire cycle is negative ?

(A)

T

P

(B)

T

V

(C)

T

P

(D)

T

V

Q.13 In the situation shown, the ideal spring has force constant of 100 N/m, m = 4 kg. The block is held with

string just taut and released. Choose the correct statement(s)

m

(A) The maximum descent of block would be 40 cm.

(B) At the mean position, the block has a speed of 2 m/s(C) The maximum tension in springis 80 N

(D) The acceleration of the block when it is instantaneouslyat rest is zero.


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PHYSICS



PART-B

[MATRIX TYPE]

Q.1 has three statements (A, B, C) given in Column-I and four statements (P, Q, R, S) given in Column-II.

Any givenstatement in Column-I canhave correct matchingwith one or more statement(s) given in Column-II.

Q.1 The 3 situations shown in column-I depict certain oscillating systems. Match the situation with the

corresponding description in column-II. In each case, assume amplitude of oscillation to be small andconstant.

Column-I Column-II

(A)

m

(P) Ifmass misincreased,withoutchanging

A ball rollingpurely on a cylindrical , its time period does not change.

trough. Radius of ball = .

(B)

l

m

Asimple pendulum. (Q) If mass misincreased without changing

, energyof oscillation increases.

(R) If is increased without changing m,

the time period decreases.

(C)

m

(S) If is increased without changing m,

energyof oscillation decreases.

A sonometerwireoscillatingin

fundamentalmode.


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PHYSICS



PART-D

[INTEGER TYPE]

Q.1 to Q.5 are "Integer Type" questions. (The answer to each of the questions are upto 4 digits)

Q.1 Auniformrod of mass 4 kgand length 1mis hinged atits end and held horizontal. The rod is released.At

themoment the rod becomesvertical, the hinge breaks and the rod rotates about its centre of mass while

falling freely. What is therotational kinetic energy(in J) of the rod thereafter?


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PHYSICS



Q.2 A 4 kg mass is projected towards 1 kg mass with a velocity10 m/s.All collisions are elastic and all

surfaces are smooth. How many total collisions occur between the two blocks?

4kg 1kg


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PHYSICS



Q.3 In the figure shown whenA is pulled horizontallywith a constant velocitykeeping B fixed, we need a

horizontal force of 10 N to do so. Keeping Afixed (by applying a horizontal force), when B is pulled

horizontally we need 30 N force to move B with a constant velocity. What is friction force between B

and ground (in N)?

B

A


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PHYSICS



Q.4 A cylinder containshot oil (= 2400 kg/m3, S = 2100 J/kgC) at70C. The curved walls of the cylinder

are adiabatic but the flat parts are made of conducting material. The area of each flat parts = 7 cm2,

k = 3W/mK,thickness of each flat part = 1mm and surrounding is at temperature of27C. Estimate the

time (in sec.) in which the temperature of the container drops by 1C. (Round off to nearest integer).

1m


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PHYSICS



Q.5 Sound wave travelling inair (=1.4,T=294K,M=28gm,R=3

25J/mol K) is normally incident on

water surface (B = 2.1025 109 Pa, density = 103 kg/m3). The pressure amplitude of incident wave is

18Pa. What is the pressure amplitude (in Pa) of transmitted wave ?


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PHYSICS



ROUGH WORK


32/32

PHYSICS


ROUGH WORK

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Iitjee p j Xi Ft 1 2013-02-10 Paper II Code A