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2019 · 12 Apr · Shift 2

66 questions · JEE Main
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  4. /2019 · 12 Apr · Shift 2

2019 · 12 Apr · Shift 2

66 questions · JEE Main

Chemistry22 questionsMathematics18 questionsPhysics26 questions
Chemical EquilibriumChemistry · 2 questionsCompounds Containing NitrogenChemistry · 1 questionsHaloalkanes and HaloarenesChemistry · 3 questionsIonic EquilibriumChemistry · 2 questionsCoordination CompoundsChemistry · 2 questionsPeriodic Table and PeriodicityChemistry · 2 questionsHydrocarbonsChemistry · 2 questionsSolutionsChemistry · 1 questionsBiomoleculesChemistry · 1 questionsChemical Kinetics and Nuclear ChemistryChemistry · 1 questionsD and F Block ElementsChemistry · 1 questionsSome Basic Concepts of ChemistryChemistry · 2 questionsAlcohols Phenols and EthersChemistry · 1 questionsBasics of Organic ChemistryChemistry · 1 questionsSets and RelationsMathematics · 1 questionsArea Under the CurvesMathematics · 1 questionsDifferential EquationsMathematics · 1 questionsIndefinite IntegralsMathematics · 1 questionsQuadratic Equation and InequalitiesMathematics · 1 questionsStraight Lines and Pair of Straight LinesMathematics · 1 questionsBinomial TheoremMathematics · 1 questionsSequences and SeriesMathematics · 1 questionsLimits Continuity and DifferentiabilityMathematics · 2 questionsComplex NumbersMathematics · 1 questionsMatrices and DeterminantsMathematics · 1 questionsDifferentiationMathematics · 1 questionsDefinite IntegrationMathematics · 1 questionsEllipseMathematics · 1 questionsPermutations and CombinationsMathematics · 1 questionsCircleMathematics · 1 questionsProbabilityMathematics · 1 questionsElectromagnetic WavesPhysics · 1 questionsMagneticsPhysics · 2 questionsProperties of MatterPhysics · 3 questionsWavesPhysics · 2 questionsCurrent ElectricityPhysics · 1 questionsLaws of MotionPhysics · 2 questionsHeat and ThermodynamicsPhysics · 2 questionsAtoms and NucleiPhysics · 2 questionsCircular MotionPhysics · 1 questionsWave OpticsPhysics · 1 questionsElectrostaticsPhysics · 1 questionsAlternating CurrentPhysics · 1 questionsGeometrical OpticsPhysics · 1 questionsMotion in A Straight LinePhysics · 1 questionsCapacitorPhysics · 1 questionsMotion in A PlanePhysics · 1 questionsElectronic DevicesPhysics · 1 questionsCenter of MassPhysics · 1 questionsGravitationPhysics · 1 questions
  1. Q1.In which one of the following equilibria, Kp e KC ?
    Chemistry · Chemical Equilibrium · MCQ
  2. Q2.Benzene diazonium chloride on reaction with aniline in the presence of dilute hydrochloric acid gives :
    Chemistry · Compounds Containing Nitrogen · MCQ
  3. Q3.Which one of the following is likely to give a precipitate with AgNO3​ solution ?
    Chemistry · Haloalkanes and Haloarenes · MCQ
  4. Q4.The molar solubility of Cd(OH)2​ is 1.84 × 10–5 M in water. The expected solubility of Cd(OH)2​ in a buffer solution of pH = 12 is :
    Chemistry · Ionic Equilibrium · MCQ
  5. Q5.The compound used in the treatment of lead poisoning is :
    Chemistry · Coordination Compounds · MCQ
  6. Q6.In comparison to boron, berylium has :
    Chemistry · Periodic Table and Periodicity · MCQ
  7. Q7.Consider the following reactions : 'A' is : Includes diagram
    Chemistry · Hydrocarbons · MCQ
  8. Q8.Heating of 2-chloro-1-phenylbutane with EtOK/EtOH gives X as the major product. Reaction of X with Hg(OAc)2​/H2​O followed by NaBH4​ gives Y as the major product. Y is :
    Chemistry · Haloalkanes and Haloarenes · MCQ
  9. Q9.A solution is prepared by dissolving 0.6 g of urea (molar mass = 60 g mol–1) and 1.8 g of glucose (molar mass = 180 g mol–1) in 100 mL of water at 27oC. The osmotic pressure of the solution is : (R = 0.08206 L atm K–1 mol–1)
    Chemistry · Solutions · MCQ
  10. Q10.Which of the given statements is INCORRECT about glycogen?
    Chemistry · Biomolecules · MCQ
  11. Q11.NO2​ required for a reaction is produced by the decomposition of N2​O5​ in CCl4​ as per the equation, 2N2​O5​(g) → 4NO2​(g) + O2​(g). The initial concentration of N2​O5​ is 3.00 mol L–1 and it is 2.75 mol L–1 after 30…
    Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
  12. Q12.The pair that has similar atomic radii is :
    Chemistry · D and F Block Elements · MCQ
  13. Q13.The INCORRECT match in the following is :
    Chemistry · Chemical Equilibrium · MCQ
  14. Q14.Thermal decomposition of a Mn compound (X) at 513 K results in compound Y, MnO2​ and gaseous product. MnO2​ reacts with NaCl and concentrated H2​O4​ to give a pungent gas Z. X, Y and Z, respectively, are :
    Chemistry · Some Basic Concepts of Chemistry · MCQ
  15. Q15.25 g of an unknown hydrocarbon upon burning produces 88 g of CO2​ and 9 g of H2​O. This unknown hydrocarbon contains :
    Chemistry · Some Basic Concepts of Chemistry · MCQ
  16. Q16.The coordination numbers of Co and Al in [Co(Cl)(en)2​]Cl and K3​[Al(C2​O4​)3​], respectively, are : (en = ethane-1, 2-diamine)
    Chemistry · Coordination Compounds · MCQ
  17. Q17.Among the following, the energy of 2s orbital is lowest in :
    Chemistry · Periodic Table and Periodicity · MCQ
  18. Q18.The decreasing order of electrical conductivity of the following aqueous solutions is : 0.1 M Formic acid (A), 0.1 M Acetic acid (B), 0.1 M Benzoic acid (C)
    Chemistry · Ionic Equilibrium · MCQ
  19. Q19.What will be the major product when m-cresol is reacted with propargyl bromide (HC ≡ C–CH2​Br) in presence of K2​CO3​ in acetone?
    Chemistry · Alcohols Phenols and Ethers · MCQ
  20. Q20.The IUPAC name for the following compound is : Includes diagram
    Chemistry · Basics of Organic Chemistry · MCQ
  21. Q21.An 'Assertion' and a 'Reason' are given below. Choose the correct answer from the following options : Assertion (A) : Vinyl halides do not undergo nucleophilic substitution easily. Reason (R) : Even though the intermediate carbocation is…
    Chemistry · Haloalkanes and Haloarenes · MCQ
  22. Q22.In the following skew conformation of ethane, H'–C–C–H'' dihedral angle is : Includes diagram
    Chemistry · Hydrocarbons · MCQ
  23. Q23.Let A, B and C be sets such that ϕe A ∩ B ⊆ C. Then which of the following statements is not true ?
    Mathematics · Sets and Relations · MCQ
  24. Q24.If the area (in sq. units) bounded by the parabola y2 = 4 λ x and the line y = λ x, λ> 0, is 91​, then λ is equal to :
    Mathematics · Area Under the Curves · MCQ
  25. Q25.The general solution of the differential equation (y2 – x3)dx – xydy = 0 (x e 0) is : (where c is a constant of integration)
    Mathematics · Differential Equations · MCQ
  26. Q26.Let a∈(0,2π​) be fixed. If the integral ∫tanx−tanαtanx+tanα​dx = A(x) cos 2 α + B(x) sin 2 α + C, where C is a constant of integration, then the…
    Mathematics · Indefinite Integrals · MCQ
  27. Q27.If α, β and γ are three consecutive terms of a non-constant G.P. such that the equations α x 2 + 2 β x + γ= 0 and x2 + x – 1 = 0 have a common root, then α(β+γ) is equal to :
    Mathematics · Quadratic Equation and Inequalities · MCQ
  28. Q28.A straight line L at a distance of 4 units from the origin makes positive intercepts on the coordinate axes and the perpendicular from the origin to this line makes an angle of 60o with the line x + y = 0. Then an equation of the line L is…
    Mathematics · Straight Lines and Pair of Straight Lines · MCQ
  29. Q29.The term independent of x in the expansion of (601​−81x8​).(2x2−x23​)6 is equal to :
    Mathematics · Binomial Theorem · MCQ
  30. Q30.If a1, a2, a3, ..... are in A.P. such that a1 + a7 + a16 = 40, then the sum of the first 15 terms of this A.P. is :
    Mathematics · Sequences and Series · MCQ
  31. Q31.Let f(x) = 5 – |x – 2| and g(x) = |x + 1|, x ∈ R. If f(x) attains maximum value at α and g(x) attains minimum value at β, then x→−αβlim​x2−6x+8(x−1)(x2−5x+6)​…
    Mathematics · Limits Continuity and Differentiability · MCQ
  32. Q32.Let z ∈ C with Im(z) = 10 and it satisfies 2z+n2z−n​ = 2i - 1 for some natural number n. Then :
    Mathematics · Complex Numbers · MCQ
  33. Q33.A value of θ∈(0,3π​), for which ​1+cos2θcos2θcos2θ​sin2θ1+sin2θsin2θ​4cos6θ4cos6θ1+4cos6θ​​=0…
    Mathematics · Matrices and Determinants · MCQ
  34. Q34.The derivative of tan−1(sinx+cosxsinx−cosx​), with respect to 2x​, where (x∈(0,2π​)) is :
    Mathematics · Differentiation · MCQ
  35. Q35.x→0lim​x2+2sinx+1​−sin2x−x+1​x+2sinx​ is :
    Mathematics · Limits Continuity and Differentiability · MCQ
  36. Q36.A value of α such that α∫α+1​(x+α)(x+α+1)dx​=loge​(89​) is :
    Mathematics · Definite Integration · MCQ
  37. Q37.An ellipse, with foci at (0, 2) and (0, –2) and minor axis of length 4, passes through which of the following points?
    Mathematics · Ellipse · MCQ
  38. Q38.A group of students comprises of 5 boys and n girls. If the number of ways, in which a team of 3 students can randomly be selected from this group such that there is at least one boy and at least one girl in each team, is 1750, then n is…
    Mathematics · Permutations and Combinations · MCQ
  39. Q39.A circle touching the x-axis at (3, 0) and making an intercept of length 8 on the y-axis passes through the point :
    Mathematics · Circle · MCQ
  40. Q40.A person throws two fair dice. He wins Rs. 15 for throwing a doublet (same numbers on the two dice), wins Rs. 12 when the throw results in the sum of 9, and loses Rs. 6 for any other outcome on the throw. Then the expected gain/loss (in…
    Mathematics · Probability · MCQ
  41. Q41.A plane electromagnetic wave having a frequency v = 23.9 GHz propagates along the positive z-direction in free space. The peak value of the Electric Field is 60 V/m. Which among the following is the acceptable magnetic field component in…
    Physics · Electromagnetic Waves · MCQ
  42. Q42.An electron, moving along the x-axis with an initial energy of 100 eV, enters a region of magnetic field B=(1.5×10−3T)k at S (See figure). The field extends between x = 0 and x… Includes diagram
    Physics · Magnetics · MCQ
  43. Q43.The number density of molecules of a gas depends on their distance r from the origin as, n(r)=n0​e−αr4. Then the total number of molecules is proportional to :
    Physics · Properties of Matter · MCQ
  44. Q44.A small speaker delivers 2 W of audio output. At what distance from the speaker will one detect 120 dB intensity sound ? [Given reference intensity of sound as 10–12 W/m2 ]
    Physics · Waves · MCQ
  45. Q45.A tuning fork of frequency 480 Hz is used in an experiment for measuring speed of sound (v) in air by resonance tube method. Resonance is observed to occur at two successive lengths of the air column, l1 = 30 cm and l2 = 70 cm. Then, v is…
    Physics · Waves · MCQ
  46. Q46.A moving coil galvanometer, having a resistance G, produces full scale deflection when a current Ig flows through it. This galvanometer can be converted into (i) an ammeter of range 0 to I0(I0 > Ig) by connecting a shunt resistance RA…
    Physics · Current Electricity · MCQ
  47. Q47.A solid sphere, of radius R acquires a terminal velocity v1 when falling (due to gravity) through a viscous fluid having a coefficient of viscosity . The sphere is broken into 27 identical solid spheres. If each of these spheres acquires a…
    Physics · Properties of Matter · MCQ
  48. Q48.A block of mass 5 kg is (i) pushed in case (A) and (ii) pulled in case (B), by a force F = 20 N, making an angle of 30o with the horizontal, as shown in the figures. The coefficient of friction between the block and floor is μ = 0.2.… Includes diagram
    Physics · Laws of Motion · MCQ
  49. Q49.One kg of water, at 20oC, heated in an electric kettle whose heating element has a mean (temperature averaged) resistance of 20 Ω. The rms voltage in the mains is 200 V. Ignoring heat loss from the kettle, time taken for water to…
    Physics · Heat and Thermodynamics · MCQ
  50. Q50.The electron in a hydrogen atom first jumps from the third excited state to the second excited state and subsequently to the first excited state. The ratio of the respective wavelengths, λ2​λ1​​, of the…
    Physics · Atoms and Nuclei · MCQ
  51. Q51.A uniform cylindrical rod of length L and radius r, is made from a material whose Young’s modulus of Elasticity equals Y. When this rod is heated by temperature T and simultaneously subjected to a net longitudinal compressional force F,…
    Physics · Properties of Matter · MCQ
  52. Q52.A diatomic gas with rigid molecules does 10 J of work when expanded at constant pressure. What would be the heat energy absorbed by the gas, in this process ?
    Physics · Heat and Thermodynamics · MCQ
  53. Q53.A smooth wire of length 2 π r is bent into a circle and kept in a vertical plane. A bead can slide smoothly on the wire. When the circle is rotating with angular speed ω about the vertical diameter AB, as shown in figure, the… Includes diagram
    Physics · Circular Motion · MCQ
  54. Q54.A system of three polarizers P1, P2, P3 is set up such that the pass axis of P3 is crossed with respect to that of P1. The pass axis of P2 is inclined at 60o to the pass axis of P3. When a beam of unpolarized light of intensity I0 is…
    Physics · Wave Optics · MCQ
  55. Q55.Let a total charge 2Q be distributed in a sphere of radius R, with the charge density given by ρ(r) = kr, where r is the distance from the centre. Two charges A and B, of –Q each, are placed on diametrically opposite points, at equal…
    Physics · Electrostatics · MCQ
  56. Q56.Consider the LR circuit shown in the figure. If the switch S is closed at t = 0 then the amount of charge that passes through the battery between t = 0 and t = RL​ is : Includes diagram
    Physics · Alternating Current · MCQ
  57. Q57.Consider an electron in a hydrogen atom revolving in its second excited state (having radius 4.65 Ao​). The de-Broglie wavelength of this electron is :
    Physics · Atoms and Nuclei · MCQ
  58. Q58.A transparent cube of side, made of a material of refractive index μ 2, is immersed in a liquid of refractive index μ 1(μ 1 < μ 2). A ray is incident on the face AB at an angle θ(shown in the figure). Total… Includes diagram
    Physics · Geometrical Optics · MCQ
  59. Q59.A particle is moving with speed v = b x​ along positive x-axis. Calculate the speed of the particle at time t =τ(assume that the particle is at origin t = 0)
    Physics · Motion in A Straight Line · MCQ
  60. Q60.In the given circuit, the charge on 4 μ F capacitor will be : Includes diagram
    Physics · Capacitor · MCQ
  61. Q61.Two particles are projected from the same point with the same speed u such that they have the same range R, but different maximum heights, h1 and h2. Which of the following is correct ?
    Physics · Motion in A Plane · MCQ
  62. Q62.Figure shows a DC voltage regulator circuit, with a Zener diode of breakdown voltage = 6V. If the unregulated input voltage varies between 10 V to 16 V, then what is maximum Zener current? Includes diagram
    Physics · Electronic Devices · MCQ
  63. Q63.Three particles of masses 50 g, 100 g and 150 g are placed at the vertices of an equilateral triangle of side 1 m (as shown in the figure). The (x, y) coordinates of the centre of mass will be : Includes diagram
    Physics · Center of Mass · MCQ
  64. Q64.The ratio of the weights of a body on the Earth’s surface to that on the surface of a planets is 9 : 4. The mass of the planet is 91​ th of that of the Earth. If 'R' is the radius of the Earth, what is the radius of the planet ?…
    Physics · Gravitation · MCQ
  65. Q65.A spring whose unstretched length is l has a force constant k. The spring is cut into two pieces of unstretched lengths l1 and l2 where, l1 = nl2 and n is an integer. The ratio k1/k2 of the corresponding force constant, k1 and k2 will be :
    Physics · Laws of Motion · MCQ
  66. Q66.Find the magnetic field at point P due to a straight line segment AB of length 6 cm carrying a current of 5A. (See figure) (μ 0 = 4 π × 10–7 N-A–2) Includes diagram
    Physics · Magnetics · MCQ