CODE : MAGENTA28538/QB/HYD-KCO-C / IITJEE / 18-1-2011 / IITJEE

NARAYANA I I T ACADEMYINDIA IITJEE MODEL Exam Date : 29-1-2011Time : 3:00GRAND TEST - 10PAPER -I Max Marks : 240ID.NO : INSTRUCTIONS :1) This booklet is your Questions Paper containing 60 questions. Maximum marks: 240. 2) The question paper consists of 3 parts (Chemistry, Mathematics and Physics). Each part has 4 sections. 3) Section-I contains 8 multiple choice questions. Q.No: 1 to 8, 21 to 28 and 41 to 48. Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct. For each questions in Section I, you will be awarded 3 marks if you have darkened only the bubble corresponding to the correct answer and zero mark if no bubble is darkened. In case of bubbling of incorrect answer, minus one (-1) mark will be awarded. 4) Section-II contains 4 multiple correct answer(s) type questions. Q.No: 9 to 12, 29 to 32 and 49 to 52. Each question has 4 choices (A), (B), (C) and (D), out of which ONE OR MORE is/are correct. For each question in Section II, you will be awarded 4 marks if you have darkened all the bubble(s) corresponding to the correct choice(s) for the answer, and zero mark if no bubble is darkened. In all other cases, minus one (-1) mark will be awarded. 5) Section-III contains 2 paragraphs. Based upon each paragraph, 3 multiple choice questions bearing Q.No: 13 to 18, 33 to 38, 53 to 58 have to be answered. Each question has 4 choices (A), (B), (C) and (D) out of which ONLY ONE is correct. For each question in Section III, 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 one (-1) mark will be awarded. 6) Section-IV contains 2 questions. Q.No: 19, 20, 39, 40 and 59, 60. Each question contains statements given in two columns, which have to be matched. The statements in Column I are labeled A, B, C and D, while the statements in Column II are labeled p, q, r, s and t. Any given statement in Column I can have correct matching with ONE OR MORE statement(s) in Column II. For each question in Section IV, you will be awarded 2 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 8 marks. There is no negative marking for incorrect answer(s) for this section.

This Question paper contains 20 PagesGT-10_PAPER_1_29 -01-11 Space for rough work Page 2 of 20 CHEMISTRY SECTION-1 Section-I contains 8 multiple choice questions. Each question has 4 choices (A) , (B) , (C) and (D) , out of which ONLY ONE is correct.For each questions in Section I , you will be awarded 3 marks ifyouhavedarkenedonlythebubblecorrespondingtothecorrectanswerandzeromarkifno bubble is darkened. In case of bubbling of incorrect answer , minus one (-1) mark will be awarded.1)NaODDCHO productsAThe products in the above reaction are A)DCOONa & DCH2OHB)HCOONa & CHD2OH C)DCOONa & CH2DODD)HCOONa & CHD2OD 2) Calcium acetate is 90 % dissociated in an aqueous solution of 0.5 m concentration. Kb of wateris0.56KKgmol-1.Theboilingpointofthesolution(ignoringhydrolysisof CH3COO-) at 1 atm pressure is A) 100.532 CB) 101.5 CC) 100.28 CD) 100.784 C 3) The pressure of real gas is A)always greater than the pressure if it was an ideal gas B)always less than the pressure if it was an ideal gas C)directly proportional to the intermolecular forces of attraction D)governed by Boyles law if temperature is fixed for a particular amount of the gas 4) Anantacidtabletweighing500mgwaspowderedandsuspendedinwater.The suspension was then treated with 50mL of 0.5 M HCl. Thevolume of the solution was madeupto100mL.10mLofthissolutionrequired10mLof0.15MNaOHforthe neutralizationofunusedacid.ItthetabletcontainsMg(OH)2andstarchastheonly components, what is the percentage of starch in the tablet? (Mg = 24 g mol-1) A) 58 %B) 42 %C) 29%D) 71% 5) Agaseousmixturecontainshydrogenatomsinthe4thexcitedstate,He+ ionsin3rd excitedstateandLi2+ in2ndexcitedstate.Thenumberofspectrallinesobtainedinthe emission spectrum of this sample when all these atoms/ions return to the ground state is A) 19B) 20C) 16D) 18 This Question paper contains 20 PagesGT-10_PAPER_1_29 -01-11 Space for rough work Page 3 of 206)OD2O/D+ ? A) ODD DD B) ODDDD C) ODDDDDDDD D) ODD DDDDDD 7) Which of the following is soluble in solvents like CS2? A) C(diamond)B) C(graphite)C) C60D) P4(Red) 8) XeF4 reacts with O2F2 to give A) XeO2F2 + F2B) XeOF4 + F2C) XeF2 + O2 + F2D) XeF6 + O2 SECTION-2 Section-II contains 4 multiple correct answer(s) typequestions. Each question has 4 choices(A) , (B),(C)and(D), outofwhichONEOR MOREis/arecorrect.Foreachquestion inSectionII, youwillbeawarded4marksifyouhavedarkenedallthebubble(s)correspondingtothecorrect choice(s) for the answer , and zero mark if no bubble is darkened. In all other cases , minus one (-1) mark will be awarded.9) Which of the following compounds can form adduct with BF3? A) CO B) (C2H5)2O C) SnCl4 D) R3N 10) Electrolysis of a concentrated aqueous solution of NaCl gives A) NaOH B) Cl2 C) H2 D) Na 11) The intermediates/compounds involved in iodoform reaction of acetone is/are A) CI3COCI3 B) CH3COCI3 C) CH3C(OH)=CH2 D) 3CI 12) Which of the following represent correct order of solubility? A) CuS < ZnS < CaS B) PbCO3 < NiCO3 < CaCO3 < BaCO3 C) Cu(OH)2and goes back to 1 from 2 when / 3CV V < . The voltmeter reads voltage as plotted. What is the period T of the wave form in terms of R and C? A) RC ln 3 B) 2RC ln 2C) RC ln 3D) 2RC ln 3 44) AwirecarryingcurrentIhastheconfigurationshowninfigure.Twosemi-infinite straightsections,bothtangenttothesamecircle,areconnectedbyacirculararc,of centralangle ,alongthecircumferenceofthecircle,withallsectionslyinginsame plane. If magnetic field at centre O of the circle is zero thenis A) 2 radian B) 4 radian C) 2t D) 4t This Question paper contains 20 PagesGT-10_PAPER_1_29 -01-11 Space for rough work Page 13 of 2045) Figure shows the path of an electron in a region of uniform magnetic field. The path consists of two straight sections, each between a pair of uniformly charged plates, and two half-circles. The plates are named 1, 2, 3 & 4. Then A)1 and 3 at higher (positive) potential and 2 and 4 at lower (negative) potentialB)1 and 3 at lower potential and 2 and 4 at higher potential C)1 and 4 at higher potential and 2 and 3 at lower potential D)1 and 4 at lower potentail and 2 and 3 at higher potential 46) Abeamoffastmovingelectronshavingcross-sectionalareaAfallsnormallyonaflat surface.Theelectronsareabsorbedbythesurfaceandtheaveragepressureexertedby the electrons on this surface is found to be P. If the electrons are moving with a speed v, then the effective current through any cross-section of the electron beam is A) ( )APemv B) ( )2APemv C) ( )APvme D) ( )APmev 47) The energy of a K electron in an atom is 20 k eV and of an L-electron is 2 k eV. The wavelength of K X ray photon emitted when a K electron is knocked out is. A) 07.69 AB) 04.69 AC) 02.69 AD) 00.69 A 48) ThediagramshowsauniformlychargedhemisphereofradiusR.Ithasvolumecharge density . If themagnitude of electricfield at a point 2R distanceaboveitscenteris E then what is the magnitude of electric field at the point which is 2R below its center? A) 06RE+c B) 012REc C) 06RE+c D) 024RE+c This Question paper contains 20 PagesGT-10_PAPER_1_29 -01-11 Space for rough work Page 14 of 20SECTION-2 Section-II contains 4 multiple correct answer(s) type questions. Each question has 4 choices (A) , (B) , (C) and (D) , out of which ONE OR MORE is/are correct. For each question in Section II , you will be awarded 4 marks if you have darkened all the bubble(s) corresponding to the correct choice(s) for the answer , and zero mark if no bubble is darkened. In all other cases , minus one (-1) mark will be awarded. 49) Two light bulbs shown in the circuit have ratings A (24 V, 24 W) and B (24 V and 36 W) as shown. When the switch is closed. A)the intensity of light bulb A increases B)the intensity of light bulb A decreases C)the intensity of light bulb B increases D)the intensity of light bulb B decreases 50) A force of 100 N is applied on a stationary block of mass 3 kg as shown in figure. If the coefficient of friction between the surface and the block is 0.25 then: A) the frictional force acting on the block is 20 N downwards B) the friction force acting on the block is 25 32N C) the normal reaction on the block is50 3 D) if coefficient of friction is changed to 0.35 then the friction force acting on the block is again 20 N downwards This Question paper contains 20 PagesGT-10_PAPER_1_29 -01-11 Space for rough work Page 15 of 2051) Mark the correct statement (s) A) If speed of a bodyis varying,its velocitymust be varying anditmust have non-zero acceleration. B) If velocity of a body is varying, its speed must be varying. C) A body moving with varying velocity may have constant speed. D) Abodymovingwithvaryingspeedmayhaveconstantvelocityifitsdirectionof motion remains constant. 52) An inductor is in the form of a solenoid with an air core as shown in the diagram. The iron core of same size as solenoid is suddenly inserted (ignore resistance of solenoid as well as end effects i.e. assume solenoid to be infinite length). Iron corer2 =R EL A) current before inserting the iron core is R B) current just after inserting the iron core is 2R C) current at time t after inserting the iron core is ( )222Rt LeR D) current at time t after inserting the iron core is ( )1 2Rt LeR This Question paper contains 20 PagesGT-10_PAPER_1_29 -01-11 Space for rough work Page 16 of 20SECTION-3 Section-III contains 2 paragraphs. Based upon each paragraph , 3 multiple choice questions have to be answered. Each question has 4 choices (A) , (B) , (C) and (D) out of which ONLY ONE is correct. For each question in Section III , 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 one (-1) mark will be awarded. P)A block with mass 3M connected to a massless rod of length L lies at rest on a fixed frictionless table. A second block of mass M impinges on the system with speed 0Vstrikes the opposite end of the rod at a right angle and sticks (assume both blocks to be point masses) 53) The velocity of the centre of the rod just after collision : A) zeroB) 02V C) 0VD) 04V 54) The angular velocity of the block-rod-block system about its centre of mass is A) 0VL B) ( )02VL C) ( )034VL D) ( )043VL 55) The initial velocity of the more massive block just after the collision is A) 034V B) zeroC) 02V D) 04V P)Imagine that you are in Indian army and you have been given charge of commanding the parade on 26th January. Thesoldiershave done extensive training onmarch past witha band which strikes 120times/min. The soldier should strikeleftfoot or right foot at each drumbeatsothatparademarchesat120steps/min.Onthedayofparade,thereare2 parts.In1stpart,thebandmarchesaheadofthesoldierswithsamespeedasthatof soldiers. In this march, you notice that the soldiers in the first row strike left foot but the soldiersinlastrowstrikerightfootatthesametime.Unfortunately,thegeneralalso notices this. In the 2nd part, you hope & pray that everything goes well. In this part, the band is stationary but the soldiers advance towards the band at same constant speed. Here again,younoticethat thesoldiersintheparadearedoing121steps/min.Asbefore,the generalnoticesthis.Acourtmartialisdueforyou.Youfranticallytrytolookforan This Question paper contains 20 PagesGT-10_PAPER_1_29 -01-11 Space for rough work Page 17 of 20explanation. One of your friends reminds you of your physics teacher. You turn to him for solace. He suggests two things for defence.(a) Sound takes time to reach from one place to another.(b) Dopplers effectAssume that it was chilly winter & speed of sound = 320 m/sec. 56) Select the correct explanation for mistakes in each part. A)part I a, part II b B)part I a, part II a C)part I b, part II a D)part I b, part II b 57) What is the speed of the soldiers. (nearly) A) 1.0 m/s B) 2.0 m/sC) 1.5 m/sD) 2.5 m/s 58) Whatwillbethemarchingspeedofthesoldierswhentheyturnaround&marchaway from the band in part 2? (nearly) A)120 steps/minB)119 steps/min. C)121 steps/min.D)110 steps/min. SECTION-4 Section-IV contains 2 questions. Each question contains statements given in two columns , which have to be matched. The statements in Column I are labeled A , B , C and D , while the statements in Column II are labeled p , q , r , s and t. Any given statement in Column I can have correct matching with ONE OR MORE statement(s) in Column II. For each question in Section IV , you will be awarded 2 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 8 marks. There is no negative marking for incorrect answer(s) for this section. 59) An extended object is moving in front of concave mirror as shown in figure. OnL.H.S various velocity of object and position is given. On R.H.S some propertiesof image and its velocity is given. Column I (Object)Column II (Image) (a)ve + velocity and object is between focus and centre of curvature (p)ve + velocity (b)ve velocity and object is between focus and pole (q)ve velocity (c)ve velocityandobjectisbeyondcentre of curvature (r)sizeofimageis increasing (d)ve velocity and object is virtual (s)sizeofimageis decreasing This Question paper contains 20 PagesGT-10_PAPER_1_29 -01-11 Space for rough work Page 18 of 2060) ShownbelowisacylinderofradiusRfloatinginvesselcontainingliquidsAandB. Neglectingatmosphericpressurematchthequantitiesmentionedincolumn-Iwith corresponding expression in column-II. : Column IColumn II (a)NetforceexertedbyliquidAofdensityonthe cylinder. (p) 29 g Rh (b)NetforceexertedbyliquidBofdensity2onthe cylinder (q) 2g R h t(c)Net force exerted by liquids A and B on the left half of the curved part of cylinder. (r) 24 g R h t(d)Net force exerted by liquid A and B on the cylinder. (s) 23 g R h t IF YOU HAVE GENUINE ACADEMIC PROBLEMS PAPERS SETTERS : HYD-KCO-C MATHS: MR.ALOK KUMAR 9030929949 - : : MR.G.N.V.RAMA KRISHNA-9912343870 PHYSICS : MR.VYOMSHEKAR- 7842094189 : : MR.SRIHARI PATNAIK-9912346089 CHEMISTRY: MR. LAWRENCE 9703804794 : DR.R.V.S.MURTHY-9949187103. This Question paper contains 20 PagesGT-10_PAPER_1_29 -01-11 Space for rough work Page 19 of 20Used space for rough work This Question paper contains 20 PagesGT-10_PAPER_1_29 -01-11 Space for rough work Page 20 of 20Used space for rough work