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PHYSICSSECTION – IStraight Objective TypeThis section contains 8 multiple choice questions. Eachquestion has 4 choices (A), (B), (C) and (D), out ofwhich ONLY ONE is correct.1. ABCD is a smooth horizontal fixed plane on whichmass m 1 = 0.1 kg is moving in a circular path ofradius r = 1 m. It is connected by an ideal stringwhich is passing through a smooth hole and connectsof mass m 2 = 1/ 2 kg at the other end as shown. m 2also moves in a horizontal circle of same radius of 1m with a speed of 10 m/s. If g = 10 m/s 2 then thespeed of m 1 is-ABDm 1Cm 2(A) 10 m/s (B) 10 m/s(C)1 m/s (D) None of these102. A L shaped rod whose one rod is horizontal and otheris vertical is rotating about a vertical axis as shownwith angular speed ω. The sleeve shown in figure hasmass m and friction coefficient between rod andsleeve is µ. The minimum angular speed ω for whichsleeve cannot sleep on rod is –(A) ω =(C) ω =gµllµgωlm(B)sleeveω =µgl(D) None of these3. Two solid spherical balls of radius r 1 & r 2(r 2 < r 1 ), of density σ are tied up with a string andreleased in a viscous liquid of lesser density ρ andcoefficient of viscosity η, with the string just taut asshown. The terminal velocity of spheres is -2 r2 2 g(A) ( σ − ρ)9 η(C)293r 1r 2(r1 + r2) ( σ − ρ)g(D)r + r η123r1 g(B) ( σ − ρ)9 η2 2293(r1− r2) ( σ − ρ)gr − r η4. A block of mass m is attached to an ideal spring andsystem lies in vertical plane as shown. Initially thesupporting plane is placed so that spring remains inits natural length then the plane is moved very slowlydownwards. The graph showing variation of normalreaction applied by mass on supporting plane withdistance travelled by block is –N(A) mg(C)NmgM1Supporting planexxN(B) mg(D) None of these5. A massless container is filled with liquid of densityρ. It contains two holes as shown in figure. Containerrests on ground. Area of the two holes are A each.Container is filled with liquid upto height H. Then –H3H/4H/4(A)Torque produced by normal force betweencontainer & ground about center of gravity isρAgH 2into the plane of paper2(B) Torque produced by friction about center ofgravity is ρAgH 2 out of the plane of paper(C) Net torque produce by thrust force & frictionρAgH 2force about center of gravity is into the4plane of paper(D) Torque produced by normal force betweencontainer and ground about centre of gravity iszero32xXtraEdge for IIT-JEE 58APRIL 2010
6. A BTwo containers A & B contain ideal gases heliumand oxygen respectively. Volume of both containersare equal and pressure is also equal. Container A hastwice the number of molecules than container B thenif v A & v B represent the rms speed of gases incontainers A & B respectively, then -(A)(C)vvvvABAB= 2 (B)= 2 (D)vvvvABAB= 4= 87. A capacitor is composed of three parallel conductingplates. All three plates are of same area A. The first pairof plates are kept a distance d 1 apart and the spacebetween them is filled with a medium of a dielectric ε 1 .The corresponding data for the second pair are d 2 & ε 2respectively. What is the surface charge density on themiddle plate ?d 1 d 2(A) ε0ε 1 ε 2V 0V ⎡ ε1ε2⎤⎢ + ⎥⎣d1d(B) ⎡ ε1ε2− ε ⎢ + ⎥ ⎤0V2 ⎦ ⎣d1d2⎦⎡ ε1ε2⎤⎡ ε1ε2⎤(C) 2 ε0V⎢+ ⎥ (D) − 2 ε0V⎢+ ⎥⎣d1d2⎦ ⎣d1d2⎦8. The mirror of length 2l makes 10 revolutions perminute about the axis crossing its mid point O andperpendicular to the plane of the figure There is alight source in point A and an observer at point B ofthe circle of radius R drawn around centreO (∠AOB = 90º)(A) 2 (B)l12OψAlRB(C) 2 2 (D)SECTION – IIMultiple Correct Answers TypeThis section contains 4 multiple correct answer(s) typequestions. Each question has 4 choices (A), (B), (C) and(D), out of which ONE OR MORE is/are correct.9. A body moves in a circular path of radius R withdeceleration so that at any moment of time itstangential and normal acceleration are equal inmagnitude. At the initial moment t = 0, the velocityof body is v 0 then the velocity of body at any timewill be –v0(A) v = at time t⎛ v t ⎞⎜1+0⎟⎝ R ⎠SR(B) v = v0e− after it has moved S meter(C) v = v 0 e –SR after it has moved S meter(D) None of these10. A cylinder block of length L = 1m is in twoimmiscible liquids. Part of block inside liquid(1) is1 1 m and in liquid (2) is m. Area of cross-section44of block is A. Densities of liquid (1) & (2) are ρ and2ρ respectively –ρ.Liquid (1)212What is the proportion lR if the observer B first seesthe light source when the angle of mirrorψ = 15º ?2ρ.Liquid (2)XtraEdge for IIT-JEE 59APRIL 2010
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Volume - 5 Issue - 10April, 2010 (M
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Volume-5 Issue-10April, 2010 (Month
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Hospital in Parel and ApolloHospita
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Page 16 and 17: Physics Challenging ProblemsSet #12
Page 18 and 19: 8 QuestionsSolutionSet # 11Physics
Page 20 and 21: 8 QuestionsSolutionSet # 12Physics
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Page 24 and 25: If the body loses this heat in time
Page 26 and 27: Perfect gas equation :From the kine
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Page 34 and 35: KEY CONCEPTPhysicalChemistryFundame
Page 36 and 37: UNDERSTANDINGOrganic Chemistry1. An
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Page 55 and 56: 4. Consider the following reactions
Page 57 and 58: 15. What would be the structure of
Page 59: 14. If line lies inside the region
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Page 66 and 67: SECTION - IVInteger answer typeThis
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Page 76 and 77: 60. Point out the incorrect stateme
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Page 80 and 81: 22. The displacement of interfering
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CAREER POINTIn associationwithLaunc
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