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2019 · 10 Jan · Shift 1

69 questions · JEE Main
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  4. /2019 · 10 Jan · Shift 1

2019 · 10 Jan · Shift 1

69 questions · JEE Main

Chemistry23 questionsMathematics21 questionsPhysics25 questions
HydrocarbonsChemistry · 2 questionsCoordination CompoundsChemistry · 1 questionsAldehydes Ketones and Carboxylic AcidsChemistry · 2 questionsBiomoleculesChemistry · 1 questionsAlcohols Phenols and EthersChemistry · 2 questionsChemical Kinetics and Nuclear ChemistryChemistry · 1 questionsStructure of AtomChemistry · 1 questionsHaloalkanes and HaloarenesChemistry · 1 questionsChemical Bonding and Molecular StructureChemistry · 2 questionsElectrochemistryChemistry · 1 questionsCompounds Containing NitrogenChemistry · 1 questionsSolutionsChemistry · 1 questionsD and F Block ElementsChemistry · 2 questionsBasics of Organic ChemistryChemistry · 1 questionsChemical EquilibriumChemistry · 1 questionsPeriodic Table and PeriodicityChemistry · 1 questionsIonic EquilibriumChemistry · 1 questionsThermodynamicsChemistry · 1 questionsMatrices and DeterminantsMathematics · 2 questionsStatisticsMathematics · 1 questionsIndefinite IntegralsMathematics · 1 questionsVector AlgebraMathematics · 1 questionsSets and RelationsMathematics · 1 questionsProbabilityMathematics · 1 questionsLimits Continuity and DifferentiabilityMathematics · 2 questionsBinomial TheoremMathematics · 1 questionsStraight Lines and Pair of Straight LinesMathematics · 3 questionsArea Under the CurvesMathematics · 1 questionsDefinite IntegrationMathematics · 1 questionsComplex NumbersMathematics · 1 questionsSequences and SeriesMathematics · 1 questionsApplication of DerivativesMathematics · 1 questionsQuadratic Equation and InequalitiesMathematics · 1 questionsDifferential EquationsMathematics · 1 questionsDifferentiationMathematics · 1 questionsElectromagnetic InductionPhysics · 1 questionsElectrostaticsPhysics · 2 questionsCurrent ElectricityPhysics · 3 questionsElectromagnetic WavesPhysics · 1 questionsWavesPhysics · 1 questionsRotational MotionPhysics · 2 questionsDual Nature of RadiationPhysics · 1 questionsGeometrical OpticsPhysics · 1 questionsMagneticsPhysics · 1 questionsUnits and MeasurementsPhysics · 1 questionsCenter of MassPhysics · 1 questionsWave OpticsPhysics · 1 questionsProperties of MatterPhysics · 1 questionsMagnetic Properties of MatterPhysics · 1 questionsCapacitorPhysics · 1 questionsVector AlgebraPhysics · 1 questionsGravitationPhysics · 1 questionsHeat and ThermodynamicsPhysics · 1 questionsMotion in A PlanePhysics · 1 questionsElectronic DevicesPhysics · 1 questionsWork Power and EnergyPhysics · 1 questions
  1. Q1.The major product of the following reaction is : Includes diagram
    Chemistry · Hydrocarbons · MCQ
  2. Q2.The total number of isomers for a square planar complex [M(F)(Cl)(SCN)(NO2​)] is
    Chemistry · Coordination Compounds · MCQ
  3. Q3.The decreasing order of ease of alkaline hydrolysis for the following esters in Includes diagram
    Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
  4. Q4.The correct structure of product 'P' in the following reactions is : Includes diagram
    Chemistry · Biomolecules · MCQ
  5. Q5.The major product 'X' formed in the following reaction is : Includes diagram
    Chemistry · Alcohols Phenols and Ethers · MCQ
  6. Q6.The major product of the following reaction is Includes diagram
    Chemistry · Hydrocarbons · MCQ
  7. Q7.Which dicarboxylic acid in presence of a dehydrating agent is least reactive to give an anhydride?
    Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
  8. Q8.Consider the given plots for a reaction obeying Arrhenius equation (0oC < T < 300oC) : (K and Ea are rate constant and activation energy, respectively) Choose the correct option : Includes diagram
    Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
  9. Q9.Which of the graphs shown below does not represent the relationship between incident light and the electron ejected from metal surface ?
    Chemistry · Structure of Atom · MCQ
  10. Q10.The increasing order of the pKa values of the following compounds is : Includes diagram
    Chemistry · Alcohols Phenols and Ethers · MCQ
  11. Q11.Which hydrogen in compound (E) is easily replaceable during bromination reaction in presence of light ? Includes diagram
    Chemistry · Haloalkanes and Haloarenes · MCQ
  12. Q12.The type of hybridisation and number of lone pair (s) of electrons of Xe in XeOF4​, respectively, are:
    Chemistry · Chemical Bonding and Molecular Structure · MCQ
  13. Q13.Consider the following reduction processes : Zn2+ + 2e– → Zn(s) ; Eo = – 0.76 V Ca2+ + 2e– → Ca(s); Eo = –2.87 V Mg2+ + 2e– → Mg(s) ; Eo = – 2.36 V Ni2​ + 2e– → Ni(s) ; Eo = – 0.25 The reducing power of the…
    Chemistry · Electrochemistry · MCQ
  14. Q14.The major product formed in the reaction given below will be : Includes diagram
    Chemistry · Compounds Containing Nitrogen · MCQ
  15. Q15.Liquids A and B form an ideal solution in the entire composition range. At 350 K, the vaapor pressures of pure A and pure B are 7 × 103 Pa and 12 × 103 Pa, respectively . The composition of the vapor in equilibriumwith a…
    Chemistry · Solutions · MCQ
  16. Q16.The effect of lanthanoid contraction in the lanthanoid series of elements by and large means :
    Chemistry · D and F Block Elements · MCQ
  17. Q17.Wilkinson catalyst is : (Et = C2​H5​)
    Chemistry · D and F Block Elements · MCQ
  18. Q18.Two pi and half sigma bonds are present in :
    Chemistry · Chemical Bonding and Molecular Structure · MCQ
  19. Q19.If dichloromethane (DCM) and water (H2​O) are used for differential extraction, which one of the following statements is correct ?
    Chemistry · Basics of Organic Chemistry · MCQ
  20. Q20.The values of Kp/Kc for the following reactions at 300 K are, respectively : (At 300 K, RT = 24.62 dm3 atm mol–1) N2​(g) + O2​(g) ⇌ 2 NO(g) N2​O4​(g) ⇌ 2 NO(g) N2​(g) + 3H2​(g) ⇌…
    Chemistry · Chemical Equilibrium · MCQ
  21. Q21.The electronegativity of aluminium is similar to :
    Chemistry · Periodic Table and Periodicity · MCQ
  22. Q22.A mixture of 100 m mol of Ca(OH)2​ and 2 g of sodium sulphate was dissolved in water and the volume was made up to 100 mL. The mass of calcium sulphate formed and the concentration of OH– in resulting solution, respectively, are : (Molar…
    Chemistry · Ionic Equilibrium · MCQ
  23. Q23.A process has Δ H = 200 J mol–1 and Δ S = 40 JK–1 mol–1. Out of the values given below, choose the minimum temperature above which the process will be spontaneous :
    Chemistry · Thermodynamics · MCQ
  24. Q24.If the system of equations x + y + z = 5 x + 2y + 3z = 9 x + 3y + az = β has infinitely many solutions, then β−α equals -
    Mathematics · Matrices and Determinants · MCQ
  25. Q25.The mean of five observations is 5 and their variance is 9.20. If three of the given five observations are 1, 3 and 8, then a ratio of other two observations is -
    Mathematics · Statistics · MCQ
  26. Q26.Let n ≥ 2 be a natural number and 0<θ<2π​. Then ∫sinn+1θ(sinnθ−sinθ)1/ncosθ​dθ is equal to - (where C is a…
    Mathematics · Indefinite Integrals · MCQ
  27. Q27.Let a=2i+λ1​j​+3k,b=4i+(3−λ2​)j​+6k, and c=3i+6j​+(λ3​−1)k…
    Mathematics · Vector Algebra · MCQ
  28. Q28.In a class of 140 students numbered 1 to 140, all even numbered students opted Mathematics course, those whose number is divisible by 3 opted Physics course and those whose number is divisible by 5 opted Chemistry course. Then the number…
    Mathematics · Sets and Relations · MCQ
  29. Q29.An unbiased coin is tossed. If the outcome is a head then a pair of unbiased dice is rolled and the sum of the numbers obtained on them is noted. If the toss of the coin results in tail then a card from a well-shuffled pack of nine cards…
    Mathematics · Probability · MCQ
  30. Q30.For each t ∈ R , let [t] be the greatest integer less than or equal to t Then x→1+lim​∣1−x∣.[1−x](1−∣x∣+sin∣1−x∣)sin(2π​[1−x])​…
    Mathematics · Limits Continuity and Differentiability · MCQ
  31. Q31.Let f(x)={max{∣x∣,x2}8−2∣x∣​∣x∣≤22<∣x∣≤4​ Let S be the set…
    Mathematics · Limits Continuity and Differentiability · MCQ
  32. Q32.Let d ∈ R, and A=​−215​4+d(sinθ)+2(2sinθ)−d​(sinθ)−2d(−sinθ)+2+2d​​,θ∈[0,2π]…
    Mathematics · Matrices and Determinants · MCQ
  33. Q33.If the third term in the binomial expansion of (1+xlog2​x)5 equals 2560, then a possible value of x is -
    Mathematics · Binomial Theorem · MCQ
  34. Q34.If the line 3x + 4y – 24 = 0 intersects the x-axis at the point A and the y-axis at the point B, then the incentre of the triangle OAB, where O is the origin, is :
    Mathematics · Straight Lines and Pair of Straight Lines · MCQ
  35. Q35.If the area enclosed between the curves y = kx2 and x = ky2, (k > 0), is 1 square unit. Then k is -
    Mathematics · Area Under the Curves · MCQ
  36. Q36.Let I=a∫b​(x4−2x2)dx. If I is minimum then the ordered pair (a, b) is -
    Mathematics · Definite Integration · MCQ
  37. Q37.Let z1 and z2 be any two non-zero complex numbers such that 3∣z1​∣=4∣z2​∣. If z=2z2​3z1​​+3z1​2z2​​ then :
    Mathematics · Complex Numbers · MCQ
  38. Q38.The sum of all two digit positive numbers which when divided by 7 yield 2 or 5 as remainder is -
    Mathematics · Sequences and Series · MCQ
  39. Q39.A point P moves on the line 2x – 3y + 4 = 0. If Q(1, 4) and R (3, – 2) are fixed points, then the locus of the centroid of Δ PQR is a line :
    Mathematics · Straight Lines and Pair of Straight Lines · MCQ
  40. Q40.The shortest distance between the point (23​,0) and the curve y =x​, (x > 0), is -
    Mathematics · Application of Derivatives · MCQ
  41. Q41.Consider the quadratic equation (c – 5)x2 – 2cx + (c – 4) = 0, c e 5. Let S be the set of all integral values of c for which one root of the equation lies in the interval (0, 2) and its other root lies in the interval (2, 3). Then the…
    Mathematics · Quadratic Equation and Inequalities · MCQ
  42. Q42.If dxdy​+cos2x3​y=cos2x1​,x∈(3−π​,3π​) and y(4π​)=34​, then y(−4π​)…
    Mathematics · Differential Equations · MCQ
  43. Q43.Let f : R → R be a function such that f(x) = x3 + x2f'(1) + xf''(2) + f'''(3), x ∈ R. Then f(2) equals -
    Mathematics · Differentiation · MCQ
  44. Q44.If 5, 5r, 5r2 are the lengths of the sides of a triangle, then r cannot be equal to :
    Mathematics · Straight Lines and Pair of Straight Lines · MCQ
  45. Q45.A solid metal cube of edge length 2 cm is moving in a positive y-direction at a constant speed of 6 m/s. There is a uniform magnetic field of 0.1 T in the positive z-direction. The potential difference between the two faces of the cube…
    Physics · Electromagnetic Induction · MCQ
  46. Q46.A charge Q is distributed over three concentric spherical shells of radii a, b, c (a < b < c) such that their surface charge densities are equal to one another. The total potential at a point at distance r from their common centre,…
    Physics · Electrostatics · MCQ
  47. Q47.A 2 W carbon resistor is color coded with green, black, red and brown respectively. The maximum current which can be passed through this resistor is -
    Physics · Current Electricity · MCQ
  48. Q48.If the magnetic field of a plane electromagnetic wave is given by (the speed of light = 3 × 108 B = 100 × 10–6 sin [2π×2×1015(t−cx​)] then the maximum electric field…
    Physics · Electromagnetic Waves · MCQ
  49. Q49.A string of length 1 m and mass 5 g is fixed at both ends. The tension in the string is 8.0 N. The string is set into vibration using an external vibrator of frequency 100 Hz. The separation between successive nodes on the string is close…
    Physics · Waves · MCQ
  50. Q50.A homogeneous solid cylindrical roller of radius R and mass M is pulled on a cricket pitch by a horizontal force. Assuming rolling without slipping, angular acceleration of the cylinder is -
    Physics · Rotational Motion · MCQ
  51. Q51.In an electron microscope, the resolution that can be achieved is of the order of the wavelength of electrons used. To resolve a width of 7.5 × 10–12 m, the minimum electron energy required is close to -
    Physics · Dual Nature of Radiation · MCQ
  52. Q52.A plano convex lens of refractive index μ 1 and focal length ƒ1 is kept in contact with another plano concave lens of refractive index μ 2 and focal length ƒ2. If the radius of curvature of their spherical faces is R each and ƒ1 =…
    Physics · Geometrical Optics · MCQ
  53. Q53.A uniform metallic wire has a resistance of 18 Ω and is bent into an equilateral triangle. Then, the resistance between any two vertices of the triangle is -
    Physics · Current Electricity · MCQ
  54. Q54.An insulating thin rod of length l has a linear charge density ρ(x)=ρ0​lx​ on it. The rod is rotated about an axis passing through the origin (x = 0) and perpendicular to the rod. If the rod makes n…
    Physics · Magnetics · MCQ
  55. Q55.The density of a material in SI units is 128 kg m–3 . In certain units in which the unit of length is 25 cm and the unit of mass is 50 g, the numerical value of density of the material is -
    Physics · Units and Measurements · MCQ
  56. Q56.A piece of wood of mass 0.03 kg is dropped from the top of a 100 m height building. At the same time, a bullet of mass 0.02 kg is fired vertically upward, with a velocity 100 ms–1, from the ground. The bullet gets embedded in the wood.…
    Physics · Center of Mass · MCQ
  57. Q57.In a Young’s double slit experiment with slit separation 0.1 mm, one observes a bright fringe at angle 401​ by using light of wavelength λ 1. When the light of wavelength λ 2 is used a bright fringe is seen at…
    Physics · Wave Optics · MCQ
  58. Q58.Water flows into a large tank with flat bottom at the rate of 10–4m3s–1. Water is also leaking out of a hole ofarea 1 cm2 at its bottom. If the height of the water in the tank remains steady, then this height is -
    Physics · Properties of Matter · MCQ
  59. Q59.A magnet of total magnetic moment 10-2 i A-m2 is placed in a time varying magnetic field, B i(cos ωt) where B = 1 Tesla and ω = 0.125 rad/s. The work done for reversing the direction of the magnetic…
    Physics · Magnetic Properties of Matter · MCQ
  60. Q60.To mop-clean a floor, a cleaning machine presses a circular mop of radius R vertically down with a total force F and rotates it with a constant angular speed about its axis. If the force F is distributed uniformly over the mop and if…
    Physics · Rotational Motion · MCQ
  61. Q61.A parallel plate capacitor is of area 6 cm2 and a separation 3 mm. The gap is filled with three dielectric materials of equal thickness (see figure) with dielectric constants K1 = 10, K2 = 12 and K3 = 14. The dielectric constant of a… Includes diagram
    Physics · Capacitor · MCQ
  62. Q62.In the cube of side ‘a’ shown in the figure, the vector from the central point of the face ABOD to the central point of the face BEFO will be - Includes diagram
    Physics · Vector Algebra · MCQ
  63. Q63.A satellite is moving with a constant speed v in circular orbit around the earth. An object of mass ‘m’ is ejected from the satellite such that it just escapes from the gravitational pull of the earth. At the time of ejection, the kinetic…
    Physics · Gravitation · MCQ
  64. Q64.A heat source at T = 103 K is connected to another heat reservoir at T = 102 K by a copper slab which is 1 mthick. Given that the thermal conductivity of copper is 0.1 WK–1m–1, the energy flux through it in the steady state is -
    Physics · Heat and Thermodynamics · MCQ
  65. Q65.Two guns A and B can fire bullets at speeds 1 km/s and 2 km/s respectively. From a point on a horizontal ground, they are fired in all possible directions. The ratio of maximum areas covered by the bullets fired by the two guns, on the…
    Physics · Motion in A Plane · MCQ
  66. Q66.In the given circuit the cells have zero internal resistance. The currents (in Amperes) passing through resistance R1 and R2 respectively, are - Includes diagram
    Physics · Current Electricity · MCQ
  67. Q67.To get output 1 at R, for the given logic gate circuit the input values must be Includes diagram
    Physics · Electronic Devices · MCQ
  68. Q68.Two electric dipoles, A, B with respective dipole moments dA​=−4qai and dB​=−2qai are placed on the x-axis with a separation R, as shown in the figure. The distance from A at which both of… Includes diagram
    Physics · Electrostatics · MCQ
  69. Q69.A block of mass m is kept on a platform which starts from rest with constant acceleration g/2 upward, as shown in figure. Work done by normal reaction on block in time is - Includes diagram
    Physics · Work Power and Energy · MCQ