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2019 · 12 Jan · Shift 2

71 questions · JEE Main
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  4. /2019 · 12 Jan · Shift 2

2019 · 12 Jan · Shift 2

71 questions · JEE Main

Chemistry23 questionsMathematics21 questionsPhysics27 questions
Coordination CompoundsChemistry · 1 questionsAldehydes Ketones and Carboxylic AcidsChemistry · 2 questionsBiomoleculesChemistry · 2 questionsHydrocarbonsChemistry · 3 questionsD and F Block ElementsChemistry · 1 questionsP Block ElementsChemistry · 2 questionsIonic EquilibriumChemistry · 1 questionsChemical Kinetics and Nuclear ChemistryChemistry · 1 questionsCompounds Containing NitrogenChemistry · 2 questionsSome Basic Concepts of ChemistryChemistry · 1 questionsStructure of AtomChemistry · 2 questionsThermodynamicsChemistry · 2 questionsSolutionsChemistry · 1 questionsHaloalkanes and HaloarenesChemistry · 1 questionsElectrochemistryChemistry · 1 questionsDefinite IntegrationMathematics · 1 questionsProbabilityMathematics · 2 questionsDifferential EquationsMathematics · 1 questionsPermutations and CombinationsMathematics · 1 questionsLimits Continuity and DifferentiabilityMathematics · 2 questionsCircleMathematics · 1 questionsSequences and SeriesMathematics · 2 questionsBinomial TheoremMathematics · 1 questionsQuadratic Equation and InequalitiesMathematics · 1 questionsMatrices and DeterminantsMathematics · 2 questionsStatisticsMathematics · 1 questionsStraight Lines and Pair of Straight LinesMathematics · 1 questionsComplex NumbersMathematics · 1 questionsSets and RelationsMathematics · 1 questionsApplication of DerivativesMathematics · 1 questionsIndefinite IntegralsMathematics · 1 questionsEllipseMathematics · 1 questionsProperties of MatterPhysics · 3 questionsCapacitorPhysics · 3 questionsRotational MotionPhysics · 3 questionsElectromagnetic WavesPhysics · 1 questionsElectromagnetic InductionPhysics · 1 questionsCenter of MassPhysics · 1 questionsWavesPhysics · 1 questionsHeat and ThermodynamicsPhysics · 2 questionsDual Nature of RadiationPhysics · 2 questionsMagnetic Properties of MatterPhysics · 1 questionsCurrent ElectricityPhysics · 2 questionsGeometrical OpticsPhysics · 2 questionsLaws of MotionPhysics · 1 questionsUnits and MeasurementsPhysics · 1 questionsSimple Harmonic MotionPhysics · 1 questionsGravitationPhysics · 1 questionsAlternating CurrentPhysics · 1 questions
  1. Q1.The magnetic moment of an octahedral homoleptic Mn(II) complex is 5.9 BM. The suitable ligand for this complex is -
    Chemistry · Coordination Compounds · MCQ
  2. Q2.The major product of the following reaction is – Includes diagram
    Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
  3. Q3.The correct statement (s) among I to III with respect to potassium ions that are abundant within the cell fluid is /are I. They activate many enzymes II. They participate in the oxidation of glucose to produce ATP III. Along with sodium…
    Chemistry · Biomolecules · MCQ
  4. Q4.The major product of the following reaction is – Includes diagram
    Chemistry · Hydrocarbons · MCQ
  5. Q5.The correct order of atomic radii is :
    Chemistry · D and F Block Elements · MCQ
  6. Q6.The major product of the following reaction is : Includes diagram
    Chemistry · Hydrocarbons · MCQ
  7. Q7.The element that shows greater ability to form p π-p π multiple bonds, is :
    Chemistry · P Block Elements · MCQ
  8. Q8.The correct structure of histidine in a strongly acidic solution (pH = 2) is -
    Chemistry · Biomolecules · MCQ
  9. Q9.If Ksp of Ag2​CO3​ is 8 × 10–12, the molar solubility of Ag2​CO3​ in 0.1 M AgNO3​ is -
    Chemistry · Ionic Equilibrium · MCQ
  10. Q10.For a reaction consider the plot of ℓ n k versus 1/T given in the figure. If the rate constant of this reaction at 400 K is 10–5 s–1, then the rate constant at 500 K is – Includes diagram
    Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
  11. Q11.The increasing order of the reactivity of the following with LiAlH4​ is Includes diagram
    Chemistry · Compounds Containing Nitrogen · MCQ
  12. Q12.8 g of NaOH is dissolved in 18g of H2​O. Mole fraction of NaOH in solution and molality (in mol kg–1) of the solution respectively are -
    Chemistry · Some Basic Concepts of Chemistry · MCQ
  13. Q13.The upper stratosphere consisting of the ozone layer protects us from sun's radiation that falls in the wavelength region of -
    Chemistry · Structure of Atom · MCQ
  14. Q14.Given (i) C (graphite) + O2​(g) → CO2​(g); Δ rH Θ = x kJ mol − 1 (ii) C(graphite) + 21​ O2​(g) → CO(g); Δ rH Θ = y kJ mol − 1 (iii) CO(g) + 21​ O2​(g) →…
    Chemistry · Thermodynamics · MCQ
  15. Q15.If the de Broglie wavelength of the electron in nth Bohr orbit in a hydrogenic atom is equal to 1.5 π a0 (a0 is Bohr radius), then the value of n/z is -
    Chemistry · Structure of Atom · MCQ
  16. Q16.The aldehydes which will not form Grignard product with one equivalent Grignard reagents are - Includes diagram
    Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
  17. Q17.The element that does NOT show catenation is :
    Chemistry · P Block Elements · MCQ
  18. Q18.The combination of plots which does not represent isothermal expansion of an ideal gas is – Includes diagram
    Chemistry · Thermodynamics · MCQ
  19. Q19.Molecules of benzoic acid (C6​H5​COOH) dimerise in benzene. 'w' g of the acid dissolved in 30 g of benzene shows a depression in freezing point equal to 2K. If the percentage association of the acid to form dimmer in the solution is 80,…
    Chemistry · Solutions · MCQ
  20. Q20.The major product of the following reaction is – Includes diagram
    Chemistry · Compounds Containing Nitrogen · MCQ
  21. Q21.The major product in the following conversion is – Includes diagram
    Chemistry · Haloalkanes and Haloarenes · MCQ
  22. Q22.The major product of the following reaction is – Includes diagram
    Chemistry · Hydrocarbons · MCQ
  23. Q23.∧m∘​ for NaCl, HCl and NaA are 126.4, 425.9 and 100.5 S cm2 mol–1, respectively. If the conductivity of 0.001 M HA is- 5 × 10–5 S cm–1, degree of dissociation of HA is -
    Chemistry · Electrochemistry · MCQ
  24. Q24.The integral 1∫e​{(ex​)2x−(xe​)x} loge x dx is equal to :
    Mathematics · Definite Integration · MCQ
  25. Q25.In a game, a man wins Rs. 100 if he gets 5 or 6 on a throw of a fair die and loses Rs. 50 for getting any other number on the die. If he decides to throw the die either till he gets a five or a six or to a maximum of three throws, then his…
    Mathematics · Probability · MCQ
  26. Q26.If a curve passes through the point (1, –2) and has slope of the tangent at any point (x, y) on it as xx2−2y​, then the curve also passes through the point :
    Mathematics · Differential Equations · MCQ
  27. Q27.There are m men and two women participating in a chess tournament. Each participant plays two games with every other participant. If the number of games played by the men between themselves exceeds the number of games played between the…
    Mathematics · Permutations and Combinations · MCQ
  28. Q28.x→1−lim​1−x​π​−2sin−1x​​ is equal to :
    Mathematics · Limits Continuity and Differentiability · MCQ
  29. Q29.If a circle of radius R passes through the origin O and intersects the coordinates axes at A and B, then the locus of the foot of perpendicular from O on AB is :
    Mathematics · Circle · MCQ
  30. Q30.If nC4, nC5 and nC6 are in A.P., then n can be :
    Mathematics · Sequences and Series · MCQ
  31. Q31.The total number of irrational terms in the binomial expansion of (71/5 – 31/10)60 is :
    Mathematics · Binomial Theorem · MCQ
  32. Q32.The number of integral values of m for which the quadratic expression, (1 + 2m)x2 – 2(1 + 3m)x + 4(1 + m), x ∈ R, is always positive, is :
    Mathematics · Quadratic Equation and Inequalities · MCQ
  33. Q33.The set of all values of λ for which the system of linear equations x – 2y – 2z =λ x x + 2y + z = λ y – x – y = λ z has a non-trivial solutions :
    Mathematics · Matrices and Determinants · MCQ
  34. Q34.The mean and the variance of five observations are 4 and 5.20, respectively. If three of the observations are 3, 4 and 4 ; then the absolute value of the difference of the other two observations, is :
    Mathematics · Statistics · MCQ
  35. Q35.If a straight line passing through the point P(–3, 4) is such that its intercepted portion between the coordinate axes is bisected at P, then its equation is :
    Mathematics · Straight Lines and Pair of Straight Lines · MCQ
  36. Q36.Let f be a differentiable function such that f(1) = 2 and f '(x) = f(x) for all x ∈ R R. If h(x) = f(f(x)), then h'(1) is equal to :
    Mathematics · Limits Continuity and Differentiability · MCQ
  37. Q37.Let z1 and z2 be two complex numbers satisfying | z1 | = 9 and | z2 – 3 – 4i | = 4. Then the minimum value of | z1 – z2 | is :
    Mathematics · Complex Numbers · MCQ
  38. Q38.If A = ​1−sinθ−1​sinθ1−sinθ​1sinθ1​​; then for all θ∈ (43π​,45π​)…
    Mathematics · Matrices and Determinants · MCQ
  39. Q39.In a class of 60 students, 40 opted for NCC, 30 opted for NSS and 20 opted for both NCC and NSS. If one of these students is selected at random, then the probability that the students selected has opted neither for NCC nor for NSS is :
    Mathematics · Probability · MCQ
  40. Q40.Let Z be the set of integers. If A = {x ∈ Z : 2(x + 2) (x2 − 5x + 6) = 1} and B = {x ∈ Z : − 3 < 2x − 1 < 9}, then the number of subsets of the set A × B, is
    Mathematics · Sets and Relations · MCQ
  41. Q41.If the function f given by f(x) = x3 – 3(a – 2)x2 + 3ax + 7, for some a ∈ R is increasing in (0, 1] and decreasing in [1, 5), then a root of the equation, (x−1)2f(x)−14​=0(xe1)…
    Mathematics · Application of Derivatives · MCQ
  42. Q42.The integral ∫(2x4+3x2+1)43x13+2x11​dx is equal to : (where C is a constant of integration)
    Mathematics · Indefinite Integrals · MCQ
  43. Q43.Let S and S' be the foci of an ellipse and B be any one of the extremities of its minor axis. If Δ S'BS is a right angled triangle with right angle at B and area (Δ S'BS) = 8 sq. units, then the length of a latus rectum of…
    Mathematics · Ellipse · MCQ
  44. Q44.If sin4 α + 4 cos4 β + 2 = 4 2​ sin α cos β; α, β∈[0, π], then cos(α+β) − cos(α−β) is equal to :
    Mathematics · Sequences and Series · MCQ
  45. Q45.A load of mass M kg is suspended from a steel wire of length 2m and radius 1.0 mm in Searle's apparatus experiment. The increase in length produced in the wire is 4.0 mm. Now the load is fully immersed in a liquid of relative density 2.…
    Physics · Properties of Matter · MCQ
  46. Q46.A long cylindrical vessel is half filled with a liquid. When the vessel is rotated about its own vertical axis, the liquid rises up near the wall. If the radius of vessel is 5 cm and its rotational speed is 2 rotations per second, then the…
    Physics · Properties of Matter · MCQ
  47. Q47.The charge on a capacitor plate in a circuit, as a function of time, is shown in the figure : When is the value of current at t = 4 s ? Includes diagram
    Physics · Capacitor · MCQ
  48. Q48.Two particles A, B are moving on two concentric circles of radii R1 and R2 with equal angular speed ω. At t = 0, their positions and direction of motion are shown in the figure. : The relative velocity VA​−VB​… Includes diagram
    Physics · Rotational Motion · MCQ
  49. Q49.The mean intensity of radiation on the surface of the Sun is about 108 W/m2 . The rms value of the corresponding magnetic field is closet to :
    Physics · Electromagnetic Waves · MCQ
  50. Q50.A 10 m long horizontal wire extends from North East to South West. It is falling with a speed of 5.0 ms–1, at right angles to the horizontal component of the earth's magnetic field of 0.3 × 10–4 Wb/m2. The value of the induced emf…
    Physics · Electromagnetic Induction · MCQ
  51. Q51.An alpha-particle of mass m suffers 1-dimensional elastic collision with a nucleus at rest of unknown mass. It is scattered directly backwards losing, 64% of its initial kinetic energy. The mass of the nucleus is
    Physics · Center of Mass · MCQ
  52. Q52.A resonance tube is old and has jagged end. It is still used in the laboratory to determine velocity of sound in air. A tuning fork of frequency 512 Hz produces first resonance when the tube is filled with water to a mark 11 cm below a…
    Physics · Waves · MCQ
  53. Q53.A vertical closed cylinder is separated into two parts by a frictionless piston of mass m and of negligible thickness. The piston is free to move along the length of the cylinder. The length of the cylinder above the piston is ℓ 1,…
    Physics · Heat and Thermodynamics · MCQ
  54. Q54.A parallel plate capacitor with plates of area 1 m2 each, are at a separation of 0.1 m. If the electric field between the plates is 100 N/C, the magnitude of charge on each plate is : (Take ε 0 = 8.85 × 10 − 12 N−m2C2​…
    Physics · Capacitor · MCQ
  55. Q55.When a certain photosensitive surface is illuminated with monochromatic light of frequency v, the stopping potential for the current is –V0/2. When the surface is illuminated by monochromatic light of frequency v/2, the stopping potential…
    Physics · Dual Nature of Radiation · MCQ
  56. Q56.A paramagnetic material has 1028 atoms/m3. Its magnetic susceptibility at temperature 350 K is 2.8 × 10–4. Its susceptibility at 300 K is :
    Physics · Magnetic Properties of Matter · MCQ
  57. Q57.In a Frank-Hertz experiment, an electron of energy 5.6 eV passes through mercury vapour and emerges with an energy 0.7 eV. The minimum wavelength of photons emitted by mercury atoms is close to :
    Physics · Dual Nature of Radiation · MCQ
  58. Q58.The moment of inertia of a solid sphere, about an axis parallel to its diameter and at a distance of x from it, is 'I(x)'. Which one of the graphs represents the variation of I(x) with x correctly ?
    Physics · Rotational Motion · MCQ
  59. Q59.In the given circuit diagram, the currents, I1 = – 0.3 A, I4 = 0.8 A and I5 = 0.4 A, are flowing as shown. The currents I2, I3 and I6, respectively, are : Includes diagram
    Physics · Current Electricity · MCQ
  60. Q60.A plano-convex lens (focal length f2, refractive index μ 2, radius of curvature R) fits exactly into a plano-concave lens (focal length f1, refractive index μ 1, radius of curvature R). Their plane surfaces are parallel to each…
    Physics · Geometrical Optics · MCQ
  61. Q61.A block kept on a rough inclined plane, as shown in the figure, remains at rest upto a maximum force 2 N down the inclined plane. The maximum external force up the inclined plane that does not move the block is 10 N. The coefficient of… Includes diagram
    Physics · Laws of Motion · MCQ
  62. Q62.Let ℓ, r, C and V represent inductance, resistance, capacitance and voltage, respectively. The dimension of rCVℓ​ in SI units will be :
    Physics · Units and Measurements · MCQ
  63. Q63.A simple harmonic motion is represented by : y = 5 (sin 3 π t +3​ cos 3 π t) cm The amplitude and time period of the motion are :
    Physics · Simple Harmonic Motion · MCQ
  64. Q64.Two satellites, A and B, have masses m and 2m respectively. A is in a circular orbit of radius R, and B is in a circular orbit of radius 2R around the earth. The ratio of their kinetic energies, TA/TB, is ;
    Physics · Gravitation · MCQ
  65. Q65.A galvanometer, whose resistance is 50 ohm, has 25 divisions in it. When a current of 4 × 10–4 A passes through it, its needle ( pointer) deflects by one division. To use this galvanometer as a voltmeter of range 2.5 V, it should be…
    Physics · Current Electricity · MCQ
  66. Q66.A particle of mass 20 g is released with an initial velocity 5 m/s along the curve from the point A, as shown in the figure. The point A is at height h from point B. The particle slides along the frictionless surface. when the particle… Includes diagram
    Physics · Rotational Motion · MCQ
  67. Q67.An ideal gas is enclosed in a cylinder at pressure of 2 atm and temperature 300 K. The mean time between two successive collisions is 6 × 10–8 s. If the pressure is doubled and temperature is increased to 500 K, the mean time…
    Physics · Heat and Thermodynamics · MCQ
  68. Q68.In the circuit shown, find C if the effective capacitance of the whole circuit is to be 0.5 μ F. All values in the circuit are in μ F. Includes diagram
    Physics · Capacitor · MCQ
  69. Q69.Formation of real image using a biconvex lens is shown below : If the whole set up is immersed in water without disturbing the object and the screen positions, what will one observe on the screen ? Includes diagram
    Physics · Geometrical Optics · MCQ
  70. Q70.In the above circuit, C = 23​​μ F, R2 = 20 Ω, L = 103​​ H and R1 = 10 Ω. Current in L-R1 path is I1 and in C-R2 path it is I2 . The voltage of A.C. source is given by, V = 200 2​… Includes diagram
    Physics · Alternating Current · MCQ
  71. Q71.A soap bubble, blown by a mechanical pump at the mouth of a tube, increases in volume, with time, at a constant rate. The graph that correctly depicts the time dependence of pressure inside the bubble is given by :
    Physics · Properties of Matter · MCQ