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2020 · 2 Sep · Shift 1

60 questions · JEE Main
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  4. /2020 · 2 Sep · Shift 1

2020 · 2 Sep · Shift 1

60 questions · JEE Main

Chemistry19 questionsMathematics18 questionsPhysics23 questions
ThermodynamicsChemistry · 1 questionsCoordination CompoundsChemistry · 3 questionsBasics of Organic ChemistryChemistry · 2 questionsElectrochemistryChemistry · 1 questionsAldehydes Ketones and Carboxylic AcidsChemistry · 1 questionsAlcohols Phenols and EthersChemistry · 1 questionsPeriodic Table and PeriodicityChemistry · 1 questionsRedox ReactionsChemistry · 1 questionsIonic EquilibriumChemistry · 1 questionsHaloalkanes and HaloarenesChemistry · 1 questionsChemical EquilibriumChemistry · 1 questionsBiomoleculesChemistry · 1 questionsStructure of AtomChemistry · 1 questionsChemical Bonding and Molecular StructureChemistry · 1 questionsHydrocarbonsChemistry · 1 questionsPractical Organic ChemistryChemistry · 1 questionsMatrices and DeterminantsMathematics · 2 questionsArea Under the CurvesMathematics · 1 questionsProbabilityMathematics · 1 questionsLimits Continuity and DifferentiabilityMathematics · 2 questionsBinomial TheoremMathematics · 1 questionsSequences and SeriesMathematics · 1 questionsPermutations and CombinationsMathematics · 1 questionsVector AlgebraMathematics · 1 questionsDefinite IntegrationMathematics · 1 questionsApplication of DerivativesMathematics · 1 questionsComplex NumbersMathematics · 1 questionsInverse Trigonometric FunctionsMathematics · 1 questionsQuadratic Equation and InequalitiesMathematics · 1 questionsSets and RelationsMathematics · 1 questionsStatisticsMathematics · 1 questionsDifferential EquationsMathematics · 1 questionsUnits and MeasurementsPhysics · 2 questionsGeometrical OpticsPhysics · 1 questionsAtoms and NucleiPhysics · 1 questionsCurrent ElectricityPhysics · 1 questionsCenter of MassPhysics · 1 questionsHeat and ThermodynamicsPhysics · 2 questionsGravitationPhysics · 1 questionsMotion in A Straight LinePhysics · 1 questionsWork Power and EnergyPhysics · 1 questionsRotational MotionPhysics · 2 questionsCircular MotionPhysics · 1 questionsWavesPhysics · 1 questionsWave OpticsPhysics · 1 questionsProperties of MatterPhysics · 1 questionsElectrostaticsPhysics · 1 questionsElectromagnetic WavesPhysics · 1 questionsCapacitorPhysics · 1 questionsElectromagnetic InductionPhysics · 1 questionsDual Nature of RadiationPhysics · 1 questionsMagneticsPhysics · 1 questions
  1. Q1.The internal energy change (in J) When 90 g of water undergoes complete evaporation at 100oC is ​. (Given : Δ Hvap for water at 373 K = 41 kJ/mol, R = 8.314 JK–1 mol–1)
    Chemistry · Thermodynamics · Numerical
  2. Q2.The oxidation states of iron atoms in compounds (A), (B) and (C), respectively, are x, y and z. The sum of x, y and z is ​. Na4​[Fe(CN)5​(NOS)] (A) Na4​[FeO4​] (B) [Fe2​(CO)9​] (C)
    Chemistry · Coordination Compounds · Numerical
  3. Q3.The number of chiral carbons present in the molecule given below is ​ . Includes diagram
    Chemistry · Basics of Organic Chemistry · Numerical
  4. Q4.The Gibbs change (in J) for the given reaction at [Cu2+] = [Sn2+] = 1 M and 298K is : Cu(s) + Sn2+(aq.) → Cu2+(aq.) + Sn(s); (ESn2+∣Sn0​=−0.16V, ECu2+∣Cu0​=0.34V) Take F = 96500…
    Chemistry · Electrochemistry · Numerical
  5. Q5.The increasing order of the following compounds towards HCN addition is : Includes diagram
    Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
  6. Q6.The major aromatic product C in the following reaction sequence will be : Includes diagram
    Chemistry · Alcohols Phenols and Ethers · MCQ
  7. Q7.In general the property (magnitudes only) that show an opposite trend in comparison to other properties across a period is
    Chemistry · Periodic Table and Periodicity · MCQ
  8. Q8.While titrating dilute HCl solution with aqueous NaOH, which of the following will not be required?
    Chemistry · Redox Reactions · MCQ
  9. Q9.The IUPAC name for the following compound is Includes diagram
    Chemistry · Basics of Organic Chemistry · MCQ
  10. Q10.For the following Assertion and Reason, the correct option is Assertion (A): When Cu (II) and sulphide ions are mixed, they react together extremely quickly to give a solid. Reason (R): The equilibrium constant of Cu2+(aq) +…
    Chemistry · Ionic Equilibrium · MCQ
  11. Q11.Which of the following compunds will show retention in configuration on nucleophilic substitution by OH– ion?
    Chemistry · Haloalkanes and Haloarenes · MCQ
  12. Q12.Consider that a d6 metal ion (M2+) forms a complex with aqua ligands, and the spin only magnetic moment of the complex is 4.90 BM. The geometry and the crystal field stabilization energy of the complex is
    Chemistry · Coordination Compounds · MCQ
  13. Q13.For octahedral Mn(II) and tetrahedral Ni(II) complexes, consider the following statements: (I) both the complexes can be high spin. (II) Ni(II) complex can very rarely be low spin. (III) with strong field ligands, Mn(II) complexes can be…
    Chemistry · Coordination Compounds · MCQ
  14. Q14.An open beaker of water in equilibrium with water vapour is in a sealed container. When a few grams of glucose are added to the beaker of water, the rate at which water molecules :
    Chemistry · Chemical Equilibrium · MCQ
  15. Q15.Consider the following rections: 'x', 'y' and 'z' in these reactions are respectively. Includes diagram
    Chemistry · Biomolecules · MCQ
  16. Q16.The figure that is not a direct manifestation of the quantum nature of atoms is :
    Chemistry · Structure of Atom · MCQ
  17. Q17.If AB4​ molecule is a polar molecule, a possible geometry of AB4​ is
    Chemistry · Chemical Bonding and Molecular Structure · MCQ
  18. Q18.The major product in the following reaction is : Includes diagram
    Chemistry · Hydrocarbons · MCQ
  19. Q19.In Carius method of estimation of halogen, 0.172 g of an organic compound showed presence of 0.08 g of bromine. Which of these is the correct structure of the compound?
    Chemistry · Practical Organic Chemistry · MCQ
  20. Q20.Let S be the set of all λ∈ R for which the system of linear equations 2x – y + 2z = 2 x – 2y +λ z = –4 x + λ y + z = 4 has no solution. Then the set S :
    Mathematics · Matrices and Determinants · MCQ
  21. Q21.Area (in sq. units) of the region outside 2∣x∣​+3∣y∣​=1 and inside the ellipse 4x2​+9y2​=1 is :
    Mathematics · Area Under the Curves · MCQ
  22. Q22.Box I contains 30 cards numbered 1 to 30 and Box II contains 20 cards numbered 31 to 50. A box is selected at random and a card is drawn from it. The number on the card is found to be a non-prime number. The probability that the card was…
    Mathematics · Probability · MCQ
  23. Q23.If a function f(x) defined by f(x)=⎩⎨⎧​aex+be−x,cx2,ax2+2cx,​−1≤x<11≤x≤33<x≤4​ be…
    Mathematics · Limits Continuity and Differentiability · MCQ
  24. Q24.Let α> 0, β> 0 be such that α 3 + β 2 = 4. If the maximum value of the term independent of x in the binomial expansion of (αx91​+βx−61​)10 is…
    Mathematics · Binomial Theorem · MCQ
  25. Q25.Let A be a 2 × 2 real matrix with entries from {0, 1} and |A| e 0. Consider the following two statements : (P) If A e I2 , then |A| = –1 (Q) If |A| = 1, then tr(A) = 2, where I2 denotes 2 × 2 identity matrix and tr(A)…
    Mathematics · Matrices and Determinants · MCQ
  26. Q26.The sum of the first three terms of a G.P. is S and their product is 27. Then all such S lie in :
    Mathematics · Sequences and Series · MCQ
  27. Q27.If the letters of the word 'MOTHER' be permuted and all the words so formed (with or without meaning) be listed as in a dictionary, then the position of the word 'MOTHER' is ​.
    Mathematics · Permutations and Combinations · Numerical
  28. Q28.If x→1lim​x−1x+x2+x3+...+xn−n​= 820, (n ∈ N) then the value of n is equal to ​.
    Mathematics · Limits Continuity and Differentiability · Numerical
  29. Q29.Let a, b and c be three unit vectors such that ​a−b​2+​a−c​2= 8. Then ​a+2b​2…
    Mathematics · Vector Algebra · Numerical
  30. Q30.The integral 0∫2​∣∣x−1∣−x∣dx is equal to ​.
    Mathematics · Definite Integration · Numerical
  31. Q31.If p(x) be a polynomial of degree three that has a local maximum value 8 at x = 1 and a local minimum value 4 at x = 2; then p(0) is equal to :
    Mathematics · Application of Derivatives · MCQ
  32. Q32.The value of (1+sin92π​−icos92π​1+sin92π​+icos92π​​)3 is :
    Mathematics · Complex Numbers · MCQ
  33. Q33.The domain of the function f(x) = sin−1(x2+1∣x∣+5​) is (–∞, -a]∪[a, ∞). Then a is equal to :
    Mathematics · Inverse Trigonometric Functions · MCQ
  34. Q34.Let α and β be the roots of the equation 5x2 + 6x – 2 = 0. If Sn =α n + β n, n = 1, 2, 3...., then :
    Mathematics · Quadratic Equation and Inequalities · MCQ
  35. Q35.If R = {(x, y) : x, y ∈ Z, x2 + 3y2 ≤ 8} is a relation on the set of integers Z, then the domain of R–1 is :
    Mathematics · Sets and Relations · MCQ
  36. Q36.Let X = {x ∈ N : 1 ≤ x ≤ 17} and Y = {ax + b: x ∈ X and a, b ∈ R, a > 0}. If mean and variance of elements of Y are 17 and 216 respectively then a + b is equal to :
    Mathematics · Statistics · MCQ
  37. Q37.Let y = y(x) be the solution of the differential equation, y+12+sinx​.dxdy​=−cosx, y > 0,y(0) = 1. If y(π) = a and dxdy​ at x =π is b, then the ordered pair (a, b) is equal to…
    Mathematics · Differential Equations · MCQ
  38. Q38.The least count of the main scale of a vernier callipers is 1 mm. Its vernier scale is divided into 10 divisions and coincide with 9 divisions of the main scale. When jaws are touching each other, the 7th division of vernier scale…
    Physics · Units and Measurements · MCQ
  39. Q39.A spherical mirror is obtained as shown in the figure from a hollow glass sphere. If an object is positioned in front of the mirror, what will be the nature and magnification of the image of the object? (Figure drawn as schematic and not… Includes diagram
    Physics · Geometrical Optics · MCQ
  40. Q40.In a reactor, 2 kg of 92U235 fuel is fully used up in 30 days. The energy released per fission is 200 MeV. Given that the Avogadro number, N = 6.023 × 1026 per kilo mole and 1 eV = 1.6 × 10–19 J. The power output of the reactor is…
    Physics · Atoms and Nuclei · MCQ
  41. Q41.Consider four conducting materials copper, tungsten, mercury and aluminium with resistivity ρ C, ρ T, ρ M and ρ A respectively. Then :
    Physics · Current Electricity · MCQ
  42. Q42.A particle of mass m with an initial velocity ui collides perfectly elastically with a mass 3 m at rest. It moves with a velocity vj​ after collision, then, v is given by :
    Physics · Center of Mass · MCQ
  43. Q43.A gas mixture consists of 3 moles of oxygen and 5 moles of argon at temperature T. Assuming the gases to be ideal and the oxygen bond to be rigid, the total internal energy (in units of RT) of the mixture is :
    Physics · Heat and Thermodynamics · MCQ
  44. Q44.The mass density of a spherical galaxy varies as rK​ over a large distance ‘r’ from its centre. In that region, a small star is in a circular orbit of radius R. Then the period of revolution, T depends on R as :
    Physics · Gravitation · MCQ
  45. Q45.Train A and train B are running on parallel tracks in the opposite directions with speeds of 36 km/hour and 72 km/hour, respectively. A person is walking in train A in the direction opposite to its motion with a speed of 1.8 km/ hour.…
    Physics · Motion in A Straight Line · MCQ
  46. Q46.If speed V, area A and force F are chosen as fundamental units, then the dimension of Young’s modulus will be
    Physics · Units and Measurements · MCQ
  47. Q47.A small block starts slipping down from a point B on an inclined plane AB, which is making an angle θ with the horizontal section BC is smooth and the remaining section CA is rough with a coefficient of friction μ. It is found… Includes diagram
    Physics · Work Power and Energy · Numerical
  48. Q48.A uniform cylinder of mass M and radius R is to be pulled over a step of height a (a < R) by applying a force F at its centre ‘O’ perpendicular to the plane through the axes of the cylinder on the edge of the step (see figure). The… Includes diagram
    Physics · Rotational Motion · MCQ
  49. Q49.Shown in the figure is rigid and uniform one meter long rod AB held in horizontal position by two strings tied to its ends and attached to the ceiling. The rod is of mass ‘m’ and has another weight of mass 2 m hung at a distance of 75 cm… Includes diagram
    Physics · Rotational Motion · MCQ
  50. Q50.A bead of mass m stays at point P(a, b) on a wire bent in the shape of a parabola y = 4Cx2 and rotating with angular speed ω(see figure). The value of ω is (neglect friction) : Includes diagram
    Physics · Circular Motion · MCQ
  51. Q51.Two identical strings X and Z made of same material have tension TX and TZ in them. If their fundamental frequencies are 450 Hz and 300 Hz, respectively, then the ratio TX/TZ is
    Physics · Waves · MCQ
  52. Q52.Interference fringes are observed on a screen by illuminating two thin slits 1 mm apart with a light source (λ = 632.8 nm). The distance between the screen and the slits is 100 cm. If a bright fringe is observed on a screen at a…
    Physics · Wave Optics · MCQ
  53. Q53.A cylindrical vessel containing a liquid is rotated about its axis so that the liquid rises at its sides as shown in the figure. The radius of vessel is 5 cm and the angular speed of rotation is ω rad s–1. The difference in the… Includes diagram
    Physics · Properties of Matter · MCQ
  54. Q54.A charged particle (mass m and charge q) moves along X-axis with velocity V0. When it passes through the origin it enters a region having uniform electric field E=−Ej​ which extends upto x = d. Equation of path… Includes diagram
    Physics · Electrostatics · MCQ
  55. Q55.A plane electromagnetic wave, has frequency of 2.0 × 1010 Hz and its energy density is 1.02 × 10–8 J/m3 in vacuum. The amplitude of the magnetic field of the wave is close to ( 4πε0​1​=9×109C2Nm2​…
    Physics · Electromagnetic Waves · MCQ
  56. Q56.A 5 μ F capacitor is charged fully by a 220 V supply. It is then disconnected from the supply and is connected in series to another uncharged 2.5 μ F capacitor. If the energy change during the charge redistribution is 100X​J…
    Physics · Capacitor · Numerical
  57. Q57.A circular coil of radius 10 cm is placed in a uniform magnetic field of 3.0 × 10–5 T with its plane perpendicular to the field initially. It is rotated at constant angular speed about an axis along the diameter of coil and…
    Physics · Electromagnetic Induction · Numerical
  58. Q58.When radiation of wavelength λ is used to illuminate a metallic surface, the stopping potential is V. When the same surface is illuminated with radiation of wavelength 3 λ, the stopping potential is 4V​. If the…
    Physics · Dual Nature of Radiation · Numerical
  59. Q59.A beam of protons with speed 4 × 105 ms–1 enters a uniform magnetic field of 0.3 T at an angle of 60° to the magnetic field. The pitch of the resulting helical path of protons is close to : (Mass of the proton = 1.67 × 10–27 kg,…
    Physics · Magnetics · MCQ
  60. Q60.An engine takes in 5 moles of air at 20oC and 1 atm, and compresses it adiabatically to 1/10th of the original volume. Assuming air to be a diatomic ideal gas made up of rigid molecules, the change in its internal energy during this…
    Physics · Heat and Thermodynamics · Numerical