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2019 · 9 Apr · Shift 2

70 questions · JEE Main
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  4. /2019 · 9 Apr · Shift 2

2019 · 9 Apr · Shift 2

70 questions · JEE Main

Chemistry21 questionsMathematics21 questionsPhysics28 questions
Aldehydes Ketones and Carboxylic AcidsChemistry · 3 questionsSolutionsChemistry · 1 questionsD and F Block ElementsChemistry · 1 questionsHydrocarbonsChemistry · 2 questionsChemical Kinetics and Nuclear ChemistryChemistry · 1 questionsElectrochemistryChemistry · 1 questionsCompounds Containing NitrogenChemistry · 2 questionsBiomoleculesChemistry · 1 questionsChemical Bonding and Molecular StructureChemistry · 2 questionsP Block ElementsChemistry · 1 questionsCoordination CompoundsChemistry · 2 questionsStructure of AtomChemistry · 1 questionsThermodynamicsChemistry · 1 questionsSome Basic Concepts of ChemistryChemistry · 1 questionsIonic EquilibriumChemistry · 1 questionsDefinite IntegrationMathematics · 2 questionsTrigonometric Ratio and IdentitesMathematics · 1 questionsComplex NumbersMathematics · 1 questionsDifferential EquationsMathematics · 1 questionsSequences and SeriesMathematics · 1 questionsLimits Continuity and DifferentiabilityMathematics · 2 questionsArea Under the CurvesMathematics · 1 questionsStatisticsMathematics · 1 questionsCircleMathematics · 1 questionsVector AlgebraMathematics · 1 questionsFunctionsMathematics · 1 questionsSets and RelationsMathematics · 1 questionsQuadratic Equation and InequalitiesMathematics · 1 questionsIndefinite IntegralsMathematics · 1 questionsMatrices and DeterminantsMathematics · 2 questions3D GeometryMathematics · 1 questionsStraight Lines and Pair of Straight LinesMathematics · 1 questionsApplication of DerivativesMathematics · 1 questionsRotational MotionPhysics · 2 questionsWavesPhysics · 1 questionsCurrent ElectricityPhysics · 3 questionsCapacitorPhysics · 1 questionsAtoms and NucleiPhysics · 1 questionsHeat and ThermodynamicsPhysics · 3 questionsCenter of MassPhysics · 2 questionsProperties of MatterPhysics · 1 questionsMotion in A Straight LinePhysics · 2 questionsGravitationPhysics · 1 questionsElectrostaticsPhysics · 1 questionsElectromagnetic WavesPhysics · 1 questionsUnits and MeasurementsPhysics · 1 questionsElectronic DevicesPhysics · 1 questionsWave OpticsPhysics · 1 questionsDual Nature of RadiationPhysics · 1 questionsGeometrical OpticsPhysics · 2 questionsElectromagnetic InductionPhysics · 2 questionsMagneticsPhysics · 1 questions
  1. Q1.p-Hydroxybenzophenone upon reaction with bromine in carbon tetrachloride gives:
    Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
  2. Q2.Molal depression constant for a solvent is 4.0 kg mol–1. The depression in the freezing point of the solvent for 0.03 mol kg–1 solution of K2​SO4​ is : (Assume complete dissociation of the electrolyte)
    Chemistry · Solutions · MCQ
  3. Q3.The maximum number of possible oxidation states of actinoides are shown by :
    Chemistry · D and F Block Elements · MCQ
  4. Q4.The major product of the following reaction is: Includes diagram
    Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
  5. Q5.Which of the following potential energy (PE) diagrams represents the SN1 reaction?
    Chemistry · Hydrocarbons · MCQ
  6. Q6.In the following reaction Rate of the reaction is the highest for : Includes diagram
    Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
  7. Q7.Consider the given plot of enthalpy of the following reaction between A and B. A+ B → C + D Identify the incorrect statement. Includes diagram
    Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
  8. Q8.A solution of Ni(NO3​)2​ is electrolysed between platinum electrodes using 0.1 Faraday electricity. How many mole of Ni will be deposited at the cathode?
    Chemistry · Electrochemistry · MCQ
  9. Q9.Hinsberg's reagent is :
    Chemistry · Compounds Containing Nitrogen · MCQ
  10. Q10.The peptide that gives positive ceric ammonium nitrate and carbylamine tests is :
    Chemistry · Biomolecules · MCQ
  11. Q11.Among the following species, the diamagnetic molecule is
    Chemistry · Chemical Bonding and Molecular Structure · MCQ
  12. Q12.The correct statements among I to III regarding group 13 element oxides are, (I) Boron trioxide is acidic. (II) Oxides of aluminium and gallium are amphoteric. (III) Oxides of indium and thalliumare basic.
    Chemistry · P Block Elements · MCQ
  13. Q13.The maximum possible denticities of a ligand given below towards a common transition and inner-transition metal ion, respectively, are : Includes diagram
    Chemistry · Coordination Compounds · MCQ
  14. Q14.Which one of the following about an electron occupying the 1s orbital in a hydrogen atom is incorrect ? (The Bohr radius is represented by a0)
    Chemistry · Structure of Atom · MCQ
  15. Q15.The major products A and B for the following reactions are, respectively: Includes diagram
    Chemistry · Compounds Containing Nitrogen · MCQ
  16. Q16.During compression of a spring the work done is 10kJ and 2kJ escaped to the surroundings as heat. The change in internal energy, Δ U(inkJ) is :
    Chemistry · Thermodynamics · MCQ
  17. Q17.Increasing order of reactivity of the following compounds for SN1 substitution is: Includes diagram
    Chemistry · Hydrocarbons · MCQ
  18. Q18.HF has highest boiling point among hydrogen halides, because it has :
    Chemistry · Chemical Bonding and Molecular Structure · MCQ
  19. Q19.What would be the molality of 20% (mass/ mass) aqueous solution of KI? (molar mass of KI = 166 g mol–1)
    Chemistry · Some Basic Concepts of Chemistry · MCQ
  20. Q20.The correct statements among I to III are : (I) Valence bond theory cannot explain the color exhibited by transition metal complexes. (II) Valence bond theory can predict quantitatively the magnetic properties of transtition metal…
    Chemistry · Coordination Compounds · MCQ
  21. Q21.In an acid-base titration, 0.1 M HCl solution was added to the NaOH solution of unknown strength. Which of the following correctly shows the change of pH of the titraction mixture in this experiment? Includes diagram
    Chemistry · Ionic Equilibrium · MCQ
  22. Q22.The value of the integral 0∫1​xcot−1(1−x2+x4)dx is :-
    Mathematics · Definite Integration · MCQ
  23. Q23.The value of sin 10º sin30º sin50º sin70º is :-
    Mathematics · Trigonometric Ratio and Identites · MCQ
  24. Q24.Let z ∈ C be such that |z| < 1. If ω=5(1−z)5+3z​ z, then :
    Mathematics · Complex Numbers · MCQ
  25. Q25.If cosxdxdy​−ysinx=6x, (0 < x < 2π​) and y(3π​)= 0 then y(6π​) is equal to :-
    Mathematics · Differential Equations · MCQ
  26. Q26.If the sum and product of the first three term in an A.P. are 33 and 1155, respectively, then a value of its 11th term is :-
    Mathematics · Sequences and Series · MCQ
  27. Q27.If the function f(x)={a∣π−x∣+1,x≤5b∣x−π∣+3,x>5​ is continuous at x = 5, then the value of a – b is :-
    Mathematics · Limits Continuity and Differentiability · MCQ
  28. Q28.The area (in sq. units) of the region A = {(x, y) : 2y2​≤ x ≤ y + 4} is :-
    Mathematics · Area Under the Curves · MCQ
  29. Q29.The mean and the median of the following ten numbers in increasing order 10, 22, 26, 29, 34, x, 42, 67, 70, y are 42 and 35 respectively, then xy​ is equal to
    Mathematics · Statistics · MCQ
  30. Q30.A rectangle is inscribed in a circle with a diameter lying along the line 3y = x + 7. If the two adjacent vertices of the rectangle are (–8, 5) and (6, 5), then the area of the rectangle (in sq. units) is :
    Mathematics · Circle · MCQ
  31. Q31.If a unit vector a makes angles π/3 with i, π/ 4 with j​ and θ∈(0, π) with k, then a value of θ is :-
    Mathematics · Vector Algebra · MCQ
  32. Q32.The domain of the definition of the function f(x)=4−x21​+log10​(x3−x) is
    Mathematics · Functions · MCQ
  33. Q33.Two newspapers A and B are published in a city. It is known that 25% of the city populations reads A and 20% reads B while 8% reads both A and B. Further, 30% of those who read A but not B look into advertisements and 40% of those who read…
    Mathematics · Sets and Relations · MCQ
  34. Q34.If m is chosen in the quadratic equation (m2 + 1) x2 – 3x + (m2 + 1)2 = 0 such that the sum of its roots is greatest, then the absolute difference of the cubes of its roots is :-
    Mathematics · Quadratic Equation and Inequalities · MCQ
  35. Q35.∫esecx(secxtanxf(x)+secxtanx+sex2x)dx = esecxf(x) + C then a possible choice of f(x) is :-
    Mathematics · Indefinite Integrals · MCQ
  36. Q36.The total number of matrices A=​02x2x​2yy−y​1−11​​(x, y ∈ R,x e y) for which ATA = 3I3 is :-
    Mathematics · Matrices and Determinants · MCQ
  37. Q37.If f(x)=[x]−[4x​],x ∈ 4 , where [x] denotes the greatest integer function, then
    Mathematics · Limits Continuity and Differentiability · MCQ
  38. Q38.The vertices B and C of a Δ ABC lie on the line, 3x+2​=0y−1​=4z​ such that BC = 5 units. Then the area (in sq. units) of this triangle, given that the point A(1, –1, 2), is :
    Mathematics · 3D Geometry · MCQ
  39. Q39.If the two lines x + (a – 1) y = 1 and 2x + a2y = 1 (a ∈ R – {0, 1}) are perpendicular, then the distance of their point of intersection from the origin is :
    Mathematics · Straight Lines and Pair of Straight Lines · MCQ
  40. Q40.A water tank has the shape of an inverted right circular cone, whose semi-vertical angle is tan−1(21​). Water is poured into it at a constant rate of 5 cubic meter per minute. The the rate (in m/min.),…
    Mathematics · Application of Derivatives · MCQ
  41. Q41.If f : R → R is a differentiable function and f(2) = 6, then x→2lim​(x−2)6∫f(x)​2tdt​ is :-
    Mathematics · Definite Integration · MCQ
  42. Q42.If the system of equations 2x + 3y – z = 0, x + ky – 2z = 0 and 2x – y + z = 0 has a non-trival solution (x, y, z), then yx​+zy​+xz​+k is equal to :-
    Mathematics · Matrices and Determinants · MCQ
  43. Q43.A thin smooth rod of length L and mass M is rotating freely with angular speed ω 0 about an axis perpendicular to the rod and passing through its center. Two beads of mass m and negligible size are at the center of the rod…
    Physics · Rotational Motion · MCQ
  44. Q44.A string 2.0 m long and fixed at its ends is driven by a 240 Hz vibrator. The string vibrates in its third harmonic mode. The speed of the wave and its fundamental frequency is :-
    Physics · Waves · MCQ
  45. Q45.In a conductor, if the number of conduction electrons per unit volume is 8.5 × 1028 m–3 and mean free time is 25ƒs (femto second), it's approximate resistivity is :- (me = 9.1 × 10–31 kg)
    Physics · Current Electricity · MCQ
  46. Q46.The parallel combination of two air filled parallel plate capacitors of capacitance C and nC is connected to a battery of voltage, V. When the capacitors are fully charged, the battery is removed and after that a dielectric material of…
    Physics · Capacitor · MCQ
  47. Q47.A He+ ion is in its first excited state. Its ionization energy is :-
    Physics · Atoms and Nuclei · MCQ
  48. Q48.Two materials having coefficients of thermal conductivity '3K' and 'K' and thickness 'd' and '3d', respectively, are joined to form a slab as shown in the figure. The temperatures of the outer surfaces are 'θ 2' and 'θ 1'… Includes diagram
    Physics · Heat and Thermodynamics · MCQ
  49. Q49.A wedge of mass M = 4m lies on a frictionless plane. A particle of mass m approaches the wedge with speed v. There is no friction between the particle and the plane or between the particle and the wedge. The maximum height climbed by the…
    Physics · Center of Mass · MCQ
  50. Q50.A wooden block floating in a bucket of water has 4/5 of its volume submerged. When certain amount of an oil is poured into the bucket, it is found that the block is just under the oil surface with half of its volume under water and half in…
    Physics · Properties of Matter · MCQ
  51. Q51.A particle of mass 'm' is moving with speed '2v' and collides with a mass '2m' moving with speed 'v' in the same direction. After collision, the first mass is stopped completely while the second one splits into two particles each of mass…
    Physics · Center of Mass · MCQ
  52. Q52.The position vector of a particle changes with time according to the relation r(t)=15t2i+(4−20t2)j​ What is the magnitude of the acceleration at t = 1 ?
    Physics · Motion in A Straight Line · MCQ
  53. Q53.A test particle is moving in a circular orbit in the gravitational field produced by a mass density ρ(r)=r2K​ . Identify the correct relation between the radius R of the particle's orbit and its period T
    Physics · Gravitation · MCQ
  54. Q54.Four point charges –q, +q, +q and –q are placed on y-axis at y = –2d, y = –d, y = +d and y = +2d, respectively. The magnitude of the electric field E at a point on the x-axis at x = D, with D >> d, will behave as :-
    Physics · Electrostatics · MCQ
  55. Q55.The specific heats, CP and CV of a gas of diatomic molecules, A, are given (in units of J mol–1 K–1) by 29 and 22, respectively. Another gas of diatomic molecules, B, has the corresponding values 30 and 21. If they are treated as ideal…
    Physics · Heat and Thermodynamics · MCQ
  56. Q56.50 W/m2 energy density of sunlight is normally incident on the surface of a solar panel. Some part of incident energy (25%) is reflected from the surface and the rest is absorbed. The force exerted on 1m2 surface area will be close to (c =…
    Physics · Electromagnetic Waves · MCQ
  57. Q57.The position of a particle as a function of time t, is given by x(t) = at + bt2 – ct3 where a, b and c are constants. When the particle attains zero acceleration, then its velocity will be :
    Physics · Motion in A Straight Line · MCQ
  58. Q58.The area of a square is 5.29 cm2. The area of 7 such squares taking into account the significant figures is :-
    Physics · Units and Measurements · MCQ
  59. Q59.The logic gate equivalent to the given logic circuit is :- Includes diagram
    Physics · Electronic Devices · MCQ
  60. Q60.Moment of inertia of a body about a given axis is 1.5 kg m2. Initially the body is at rest. In order to produce a rotational kinetic energy of 1200 J, the angular accleration of 20 rad/s2 must be applied about the axis for a duration of :-
    Physics · Rotational Motion · MCQ
  61. Q61.Diameter of the objective lens of a telescope is 250 cm. For light of wavelength 600nm. coming from a distant object, the limit of resolution of the telescope is close to :-
    Physics · Wave Optics · MCQ
  62. Q62.A particle 'P' is formed due to a completely inelastic collision of particles 'x' and 'y' having de-Broglie wavelengths 'λ x' and 'λ y' respectively. If x and y were moving in opposite directions, then the de-Broglie…
    Physics · Dual Nature of Radiation · MCQ
  63. Q63.A convex lens of focal length 20 cm produces images of the same magnification 2 when an object is kept at two distances x1 and x2 (x1 > x2) from the lens. The ratio of x1 and x2 is :-
    Physics · Geometrical Optics · MCQ
  64. Q64.A very long solenoid of radius R is carrying current I(t) = kte–at(k > 0), as a function of time (t ≥ 0). counter clockwise current is taken to be positive. A circular conducting coil of radius 2R is placed in the equatorial plane…
    Physics · Electromagnetic Induction · MCQ
  65. Q65.A massless spring (k = 800 N/m), attached with a mass (500 g) is completely immersed in 1 kg of water. The spring is stretched by 2 cm and released so that it starts vibrating. What would be the order of magnitude of the change in the…
    Physics · Heat and Thermodynamics · MCQ
  66. Q66.A thin convex lens L (refractive index = 1.5) is placed on a plane mirror M. When a pin is placed at A, such that OA = 18 cm, its real inverted image is formed at A itself, as shown in figure. When a liquid of refractive index μ1 is put… Includes diagram
    Physics · Geometrical Optics · MCQ
  67. Q67.A moving coil galvanometer has a coil with 175 turns and area 1 cm2. It uses a torsion band of torsion constant 10–6 N-m/rad. The coil is placed in a maganetic field B parallel to its plane. The coil deflects by 1° for a current of 1 mA.…
    Physics · Magnetics · MCQ
  68. Q68.The resistance of a galvanometer is 50 ohm and the maximum current which can be passed through it is 0.002 A. What resistance must be connected to it in order to convert it into an ammeter of range 0 – 0.5 A ?
    Physics · Current Electricity · MCQ
  69. Q69.A metal wire of resistance 3 Ω is elongated to make a uniform wire of double its previous length. This new wire is now bent and the ends joined to make a circle. If two points on this circle make an angle 60° at the centre, the…
    Physics · Current Electricity · MCQ
  70. Q70.Two coils 'P' and 'Q' are separated by some distance. When a current of 3 A flows through coil 'P', a magnetic flux of 10–3 Wb passes through 'Q'. No current is passed through 'Q'. When no current passes through 'P' and a current of 2 A…
    Physics · Electromagnetic Induction · MCQ