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Class : XII (Nucleus) PART TEST- 2 INSTRUCTIONS 1. The question paper contain pages and 3-parts. Part-A contains 18 objective question , Part-B contains 6 questions of "Match the Column" type and Part-C contains 12 subjective type questions. All questions are compulsory. Please ensure that the Question Paper you have received contains all the QUESTIONS and Pages. If you found some mistake like missing questions or pages then contact immediately to the Invigilator. PART-A (i) Q.1 to Q.18 have One or More than one is / are correct alternative(s) and carry 4 marks each. There is NEGATIVE marking. 1 mark will be deducted for each wrong answer. PART-B (iii) Q.1 to Q.6 are "Match the Column" type which may have one or more than one matching options and carry 8 marks for each question. 2 marks will be awarded for each correct match within a question. There is NEGATIVE marking. 0.5 mark will be deducted for each wrong answer. PART-C (iv) Q.1 to Q.12 are "Subjective" questions & carry 5 marks. There is NO NEGATIVE marking. Marks will be awarded only if all the correct bubbles are filled in your OMR sheet. 2. Indicate the correct answer for each question by filling appropriate bubble(s) in your answer sheet. 3. Use only HB pencil for darkening the bubble(s). 4. Use of Calculator, Log Table, Slide Rule and Mobile is not allowed. 5. The answer(s) of the questions must be marked by shading the circles against the question by dark HB pencil only. PART-B For example if Correct match for (A) is P, Q; for (B) is P, R; for (C) is P and for (D) is S then the correct method for filling the bubble is P Q R S (A) (B) (C) (D) PART-C Ensure that all columns (4 before decimal and 2 after decimal) are filled. Answer having blank column will be treated as incorrect. Insert leading zero(s) if required after rounding the result to 2 decimal places. e.g. 86 should be filled as 0086.00 PART - A Select the correct alternative(s) (choose one or more than one) Q.1 A uniformly charged thin non conducting shell of radius R is charged with Q units of charge. The escape velocity of a particle of charge –q and mass m from surface of conductor is (A) (B) (C) (D) Q.2 A test tube of length l is immersed invertically into a vessel containing mercuryof density (m). It is immersed in such a way so that its closed end just touches the mercury level. Mercury was found to rise to a height x in the tube as shown. The pressure at A is (Here Atmospheric pressure is equal to l length of mercury): (A) (l – x) mg (B) xmg (C) (2l – x) mg (D) (l – 2x) mg Q.3 An adiabatic container is divided into two equal parts, with an ideal gas at pressure P and temperature T at one side and vacuum on the other side. On making a hole in the separating wall (A) work done by gas will be nRT (B) change in internal energy of gas will be zero (C) internal energy

- 1. Class : XII (Nucleus) Time : 3 hour Max. Marks : 180 INSTRUCTIONS 1. The question papercontainpages and 3-parts. Part-Acontains 18 objective question , Part-Bcontains 6 questions of"MatchtheColumn" typeand Part-Ccontains12 subjectivetypequestions.Allquestions are compulsory. Please ensure that the Question Paper you have received contains all the QUESTIONS and Pages. If you found some mistake like missing questions or pages then contact immediately to the Invigilator. PART-A (i) Q.1 to Q.18 have One or More than one is / are correct alternative(s) and carry 4 marks each. There is NEGATIVE marking. 1 mark will be deducted for eachwrong answer. PART-B (iii) Q.1 to Q.6 are"Match the Column" typewhich mayhave oneor more than onematching options and carry8 marks foreach question. 2 marks will be awarded for each correct match within a question. There is NEGATIVE marking. 0.5 mark will be deducted for each wrong answer. PART-C (iv) Q.1 to Q.12 are "Subjective" questions & carry5 marks.There is NO NEGATIVE marking.Marks will be awardedonlyif all thecorrect bubbles are filled in your OMR sheet. 2. Indicate the correctanswer for each question byfillingappropriate bubble(s) inyour answer sheet. 3. Use onlyHB pencil fordarkeningthe bubble(s). 4. Use ofCalculator, LogTable, SlideRule and Mobile is not allowed. 5. Theanswer(s)ofthequestionsmustbemarked byshadingthecirclesagainst thequestionbydarkHBpencil only. PART TEST-2 PART-B For example if Correct match for (A) is P, Q; for (B) is P, R; for (C) is P and for (D) is S then the correct method for filling thebubbleis P Q R S (A) (B) (C) (D) PART-C Ensure that all columns (4 before decimal and 2 after decimal) are filled. Answer having blank column willbe treated as incorrect. Insert leading zero(s) if required after rounding the result to 2 decimalplaces. e.g. 86 should befilled as 0086.00 . . . . . . . . . . PART-A For example if only 'B' choice is correct then, the correct method for fillingthebubbleis A B C D Forexampleifonly'B& D' choices are correct then, the correct method forfillingthebubblesis A B C D The answer of the question in any other manner (such as putting , cross , or partial shading etc.) will be treated as wrong.
- 2. PART - A Select the correct alternative(s) (choose one or more than one) Q.1 Auniformlychargedthinnonconductingshellofradius RischargedwithQunitsofcharge.Theescape velocityof aparticle of charge –qand mass m from surfaceof conductor is (A) R 4 Qq 0 (B) mR 2 Qq 0 (C) mR Qq 0 (D) mR 4 Qq 0 Q.2 Atesttubeoflengthlisimmersedinverticallyintoavesselcontainingmercuryof density(m).Itis immersedinsuchawayso thatits closedendjust touches the mercurylevel.Mercurywasfoundtorisetoaheightxinthetubeasshown.The pressureatAis (HereAtmospheric pressure is equal to l length of mercury): (A) (l – x) mg (B)xmg (C) (2l – x) mg (D) (l – 2x) mg Q.3 Anadiabatic containeris dividedintotwoequal parts, withanidealgas atpressurePand temperatureT at oneside and vacuum onthe other side. Onmaking a hole in the separating wall (A) work done bygas will be nRT (B)changeininternal energyofgas will bezero (C) internal energydepends on temperature of gas (D) work done bygas is zero Q.4 Figure shows a network of capacitors and resistances. Potentials ofsomeof thepoints are given. Then (A) potential at M = 2.6 V (B) Potential at N = –1.6 V (C) Charge across 2f capacitor is 8.4 C (D) Charge across 2f capacitor is 4.2 C
- 3. Q.5 As aliquidof densityflows throughthe tubeshownbelow in astreamlines way (A) volume rate of flow reduces from a1 to a2 (B) volume rate of flow increases from a1 to a2 (C) h is a measure of pressure difference atAand B (D) pressure atAhas to be more than that at B byhg Q.6 Twolargeblackplanesurfaces aremaintained at constant temperatureT1 &T2 (T1 >T2) & placed in vacuume. Two thin black plates are placed between the twosurfacesandisparalleltothese.Aftersometimesteadyconditionareobtained. By what factor () is the steady heat flow reduced due to presence of black plates? (A) = 2 1 (B) = 3 1 (C) = 1 (D) = 0
- 4. Q.7 CompoundB has aneutralisation equivalent 112'G'is adichloro alkane. (A) A = , B = , C = , E = ; F = & G = ClCH2CH2CH2CH2Cl (B) A = , B = , C = , E = & G = ClCH2CH2CH2CH2CH2Cl (C) A = , B = , C = , E = , F = & G = ClCH2CH2CH2CH2CH2Cl (D) A = , B = , C = ; E = ; F = & G = ClCH2CH2CH2CH2CH2Cl
- 5. Q.8 IdentifyA,B, C, D, E & F in thefollowing reactions (A)A= , B = , D = , E = , F = & G = (B) A = , B = , D = , E = , F = & G =
- 6. (C) A = , B = , D = , E = , F = & G = (D) Both B & C is possible Q.9 Select the correct statement(s) If S = f (E, V, n1, n2) &A= f (T, V, n1, n2) (A) S is equal to f (E, V, n1, n2) (B) S is equal to f (E, V, n1, n2) (C) Ais equal to f (T, V, n1, n2) (D) Ais equal to f (E, V, n1, n2) Q.10 Whichofthefollowingstatement(s)is/arecorrect (A) GaCl2 is actually 4 III I Cl Ga Ga (B)Metallocenesare inorganicbenzene (C) Cyclo Phosphazene (P3N3Cl6) is inorganic analogueofbenzene (D) B6H6 2– is a closo borane with octahedral structure Q.11 Identifythecorrect statement(s) (A) BF3 is a stronger Lewis acid than BCl3 (B) Ga melts at ~300C andits densitydecreases when it solidifies. (C)Unusuallyhighmeltingpoint ofboronis duetoitsstructure (D) Borazine is more reactive towards HCl than benzene due to weak B = N bond.
- 7. Q.12 In the titration of CH3COOH, with NaOH, the difference in number of NaOH molecules added and CH3COO– presentat equilibrium at pH = 7.5 per litreof titratingmixture is equal to (A) 10 1 ×6.023×1016 (B) 10 9 × 6.023 ×1016(C) zero (D) 10 10 99 × NA Q.13 From the point P(4, 5), two chords PAand PB of length 2 units each are drawn to the circle x2 + y2 = 41. Then equation of chordAB is (A) x + y = 2 (B) 4x + 5y = 39 (C) x – 5y = 37 (D) none Q.14 If n 1 k 2 n n 3 2 n k 3 Lim = b 0 dx ) x ( f then (A) b = 1 (B) f (x) = (9x2 + 2) (C) n 1 k 2 n n 3 2 n k 3 Lim = 15 (D) n 1 k 2 n n 3 2 n k 3 Lim = 5 Q.15 Considerthe following4statements.Whichofthefollowingstatement(s)is/arefalse (A) There exist no plane containing the point (1, 0, 0) ; (0, 1, 0) ; (0, 0, 1) and (1, 1, 1) (B) If a plane with normal vector N is perpendicular to a vector V then V · N = 0 (C) Iftwoplanes areperpendicularthen everylinein oneplaneis perpendiculartoeverylineon the other plane. (D) Let P1 and P2 are two perpendicular planes. If a third plane P3 is perpendicular to P1 then it might be parallel or perpendicular or at an angle of 45° to P2.
- 8. Q.16 Whichofthefollowingstatementsconcerningthefunction f (x) = 3 x if , 4 3 x if , 6 x x 15 x 10 x 5 2 2 are correct (A) f (x) is continuous for all x – 2 (B) f (x)is always decreasing (C) f (x) has no vertical asymptotes (D) f (x) has one horizontal asymptote. Q.17 If C0, C1, C2, ....................Cn are binomial coefficients then n Lt 0 2 2 1 3 2 ) 1 ...( .......... .......... 3 2 3 2 C C c C n n n n n is (A) 0 (B) 1 (C) –1 (D) 2 Q.18 If 4a2 + b2 +2c2 + 4ab – 6ac – 3bc = 0, then the family of lines ax + by + c = 0 is concurrent at one or the other of the two points whose co-ordinates are (A) 2 1 , 1 or (–2, –1) (B) (–1, –1) or 2 1 , 2 (C) (–2, 2) or 1 , 2 1 (D) (1, 2) or 1 , 2 1 ‘
- 9. PART - B MATCH THE COLUMN INSTRUCTIONS: Column-Iand column-IIcontainsfour entries each. Entries ofcolumn-Iareto bematchedwith some entriesofcolumn-II.Oneormorethanoneentriesofcolumn-Imayhavethematchingwiththesameentries ofcolumn-IIandoneentryofcolumn-Imayhaveoneormorethanonematchingwithentriesofcolumn-II. Q.1 In thecircuit shown in figure, thereare threeidentical capacitor C1,C2, C3 each having capacitance 'C'. The switch 'S' is kept closed to point–1 for long time, then at timet = 0 switch'S' is shifted to position–2 from position–1 ColumnI Column II (A) Final charge on capacitor C1 (P) 2 CV 3 2 (B) Work done byBatteryhaving emf V2 = V (Q) 2 CV 3 4 (C) Final charge on capacitor C2 (R) CV 3 2 (D)Amount ofheat produced inthe circuit after (S) 3 CV shifting the switch 'S' from (1) to (2)
- 10. Q.2 Match the following. (Here gas is ideal, P = pressure, V = volume, = ratio of molar specific heat at constant pressure&constant volume) ColumnI ColumnII (A)AdiabaticBulkmodulus ofgas (P) – V P (B)Slope ofP–V graph inisothermal (Q) 1 2 process (C) Degreeof freedom (R) P (D) Molar heat capacityat constant pressure (S) 1 divided by R Q.3 Matchthefollowing ColumnI ColumnII (A) Canaryyellowprecipitate with (NH4)2MoO4 (P) NO3 – (B) Brownringtest (Q) NO2 – (C)Acidradical whichevolves gas with conc. HCl (R) AsO4 3– (D)Acidradical whichgives gas withdil. H2SO4 (S) PO4 3–
- 11. Q.4 Matchthefollowing List I List II (A) CO2is evolved from (P) NaHCO3 bythe reaction of (B)Compoundsgives yellowoily (Q) liquid on reaction with NaNO2 + HCl (C)Compoundswhich on reaction (R) with gives para red dye. (D)Compoundwhichhavemaximum% (S) of enol form
- 12. Q.5 Column–I Column–II (A) If as manymore words as possible be formed (P) 201 out of letters of the word “POTATO” then the no. of words inwhich the relative order of vowels & consonentremainunchangedis (B) Numberofpositiveintegralsolutionssatisfyingthe equation (x1 + x2 + x3) (y1 + y2) = 77, is (Q) 420 (C) LetAbe the set of four digit numbers a1a2a3a4 where a1 > a2 > a3 > a4 then n(A) (R) 8 (D) Theno.ofdissimilartermsintheexapnsion of the 100 2 2 1 1 x x is (S) 210
- 13. Q.6 Column–I Column–II (A) If the line ) k̂ 2 j ˆ î ( k̂ 3 j ˆ î 2 r (P) 3 makes angles , , with xy, yz and zx planes respectivelythen sin2 + sin2 + sin2 is (B) If ! 20 ! 0 1 + ! 18 ! 2 1 + ! 16 ! 4 1 + .................. (Q) 1 ...... ! 2 ! 18 1 + ! 20 1 = ! 2 b a then (b – a) = (C) Theequalsides ofanisoscelestrianglewith fixed (R) 0 base 'b' are decreasing at the rate of 3cm/sec. The rate at which its area is decreasingwhen the two equal sides are equal to the base, is a b where a is (D) The fractional part of 15 2 n 4 is 15 K where K is (S) 2
- 14. PART - C Q.1 Asampleofmonoatomicidealgasoccupies5.00Latatmosphericpressure and temperature 300 K (pointA). It is heated at constant volume to 3.00 atm (point B)then it is allowedto expand isothermallyto 1.00 atm (point C) and at last compressed isobaricallyto its original state. If the gas is monoatomicthencalculatethetotal amountofheat(injoules)giventothe gas during whole cycle. (Here R = 8.30 Joule/mole0K; Patm = 105Pa; 1L = 10–3 m3; ln3 = 1.1)
- 15. Q.2 Inthecircuit shown in figureswitch 'S'is closedforlongtime, then at time t = 0 it is again opened. Find the charge on capacitor (in C) at time t = 6s (here e–1 = 0.37)
- 16. Q.3 ArodoflengthL=1mwiththermallyinsulatedlateralsurfacehasuniformcross-section.Thecoefficient ofthermalconductivityofthematerialoftherod varieswithtemperatureas K T 1 .Theendsoftherod are maintained at temperature T1 = 200C & T2 = 800C. Find the temperature (in0C) at the mid point of rod.
- 17. Q.4 Fiveidentical largeconductingplates each ofareaAareplaced parallel to each other at separation 'd'. Plates 1 & 3 are connected by thin conductingwire&plate2&5areconnectedbyanotherthinconducting wire.Thejunctionof plate1&3and plate-4areconnectedbyabattery having emf'V'(as showninfigure). The system is in steadystate. Now Plate-1ismovedupwardslowlysothatitcomeincontactwithPlate2. Calculatethe amount ofwork done (in J) bybatteryduringmotion of plate-1. (Here d A 0 = 20F, V = 10 volts)
- 18. Q.5 Whenzincis refined byelectrolysis,the desired half-reaction atthe cathode is Zn2+(aq) + 2e– Zn(s) Acompetingreaction,whichlowers theyield,is theformation ofhydrogen gas : 2H+(aq) + 2e– H2(g) If 91.26%of the current flowingresults in zinc beingdeposited, while 8.74% produces hydrogen gas, how manyliters of H2, measuredat STP, form perkilogram of zinc? [Zn = 64]
- 19. Q.6 Agaseous compound'A' reacts bythreeindependentfirst order processes (as shown in figure) with rate constant 2×10–3, 3 × 10–3 and 1.93 × 10–3 sec–1 respectivelyforproducts B, CandD respectively. Ifinitiallypure'A' wastakeninaclosedcontainerwithP=2.079atm,findthepartialpressure of 'B'(inatm) after 100 sec from start of experiment.
- 20. Q.7 Calculatetheemfoffollowingcell Ag(s) |AgBr(s)| KBr (0.002 M) ||Ag2CrO4(saturated solution) |Ag (s) Ksp (Ag2CrO4) = 4 × 10–12 Ksp (AgBr) = 2 × 10–13 059 . 0 F RT 303 . 2 (log 2 = 0.3)
- 21. Q.8 AnNH4 + –NH3 bufferis supposedtokeepthepHofthesolutionconstant duringthefollowingreaction withinthesafelimit. CH3COOCH3(aq) + 2H2O (l) CH3COO–(aq) + H3O+(aq) + CH3OH(aq) Ifthisbuffersolutionhadtheseinitialconditions, [CH3COOCH3]o = 0.020 M, [NH4 +]o = 0.100 M [NH3]o = 0.06 M What wouldbethedifferenceininitial pH&final pHafterthecompletionofreaction. (pKb of NH3 = 4.74; log 2 = 0.3, log3 = 0.48)
- 22. Q.9 If the function f(x) = 2x3 - 9ax2 + 12a2x +1, where a >0, attains its maximum and minimum at p and q respectivelysuch that p2 = q, then a equals
- 23. Q.10 y= f (x) is a parabola, having it's axis parallel to y-axis. If the line y= x touches this parabola at x = 1, then f '' (1) + f ' (0) is
- 24. Q.11 The largestrealvalueforxsuchthat 3 8 ! k x ! k 4 5 4 0 k k k 4 isofthe formof r q p thenthevalueof p2 + q2 + r2 is
- 25. Q.12 If the value of definite integral a 1 ] x [log dx a · x a where a > 1, and [x] denotes the greatest integer, is 2 1 e then the value of [a] equals where [ ] mean GIF