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2020 · 6 Sep · Shift 2

58 questions · JEE Main
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  4. /2020 · 6 Sep · Shift 2

2020 · 6 Sep · Shift 2

58 questions · JEE Main

Chemistry17 questionsMathematics18 questionsPhysics23 questions
Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questionsSome Basic Concepts of ChemistryChemistry · 1 questionsD and F Block ElementsChemistry · 1 questionsCompounds Containing NitrogenChemistry · 1 questionsThermodynamicsChemistry · 1 questionsBasics of Organic ChemistryChemistry · 1 questionsChemical Kinetics and Nuclear ChemistryChemistry · 1 questionsPeriodic Table and PeriodicityChemistry · 1 questionsIonic EquilibriumChemistry · 1 questionsAlcohols Phenols and EthersChemistry · 1 questionsCoordination CompoundsChemistry · 1 questionsHaloalkanes and HaloarenesChemistry · 1 questionsSalt AnalysisChemistry · 1 questionsChemical EquilibriumChemistry · 1 questionsSolutionsChemistry · 1 questionsElectrochemistryChemistry · 1 questionsBiomoleculesChemistry · 1 questionsFunctionsMathematics · 2 questionsStraight Lines and Pair of Straight LinesMathematics · 1 questionsArea Under the CurvesMathematics · 1 questionsComplex NumbersMathematics · 1 questionsDefinite IntegrationMathematics · 1 questionsLimits Continuity and DifferentiabilityMathematics · 2 questionsApplication of DerivativesMathematics · 1 questionsMatrices and DeterminantsMathematics · 2 questionsStatisticsMathematics · 1 questionsVector AlgebraMathematics · 1 questionsPermutations and CombinationsMathematics · 1 questionsSequences and SeriesMathematics · 1 questionsQuadratic Equation and InequalitiesMathematics · 1 questionsProbabilityMathematics · 1 questionsBinomial TheoremMathematics · 1 questionsDual Nature of RadiationPhysics · 1 questionsRotational MotionPhysics · 1 questionsHeat and ThermodynamicsPhysics · 2 questionsProperties of MatterPhysics · 1 questionsSimple Harmonic MotionPhysics · 1 questionsCurrent ElectricityPhysics · 2 questionsMagneticsPhysics · 2 questionsGeometrical OpticsPhysics · 1 questionsMotion in A PlanePhysics · 1 questionsCenter of MassPhysics · 2 questionsLaws of MotionPhysics · 1 questionsAlternating CurrentPhysics · 1 questionsWave OpticsPhysics · 1 questionsElectromagnetic WavesPhysics · 1 questionsAtoms and NucleiPhysics · 1 questionsGravitationPhysics · 1 questionsElectrostaticsPhysics · 2 questionsUnits and MeasurementsPhysics · 1 questions
  1. Q1.The correct match between Item-I (starting material) and Item-II (reagent) for the preparation of benzaldehyde is : Includes table
    Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
  2. Q2.The average molar mass of chlorine is 35.5 g mol–1. The ratio of 35Cl to 37Cl in naturally occuring chlorine is close to :
    Chemistry · Some Basic Concepts of Chemistry · MCQ
  3. Q3.Mischmetal is an alloy consisting mainly of :
    Chemistry · D and F Block Elements · MCQ
  4. Q4.Which of the following compounds can be prepared in good yield by Gabriel phthalimide synthesis?
    Chemistry · Compounds Containing Nitrogen · MCQ
  5. Q5.For a reaction, 4M(s) + nO2​(g) → 2M2​On​(s) the free energy change is plotted as a function of temperature. The temperature below which the oxide is stable could be inferred from the plot as the point at which :
    Chemistry · Thermodynamics · MCQ
  6. Q6.The IUPAC name of the following compound is : Includes diagram
    Chemistry · Basics of Organic Chemistry · MCQ
  7. Q7.The rate of a reaction decreased by 3.555 times when the temperature was changed from 40oC to 30oC. The activation energy (in kJ mol–1) of the reaction is ​. Take; R = 8.314 J mol–1 K–1 ln 3.555 = 1.268
    Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
  8. Q8.The atomic number of Unnilunium is ​.
    Chemistry · Periodic Table and Periodicity · Numerical
  9. Q9.If the solubility product of AB2​ is 3.20 × 10–11 M3, then the solubility of AB2​ in pure water is ​× 10–4 mol L–1. [Assuming that neither kind of ion reacts with water]
    Chemistry · Ionic Equilibrium · Numerical
  10. Q10.A solution of phenol in chloroform when treated with aqueous NaOH gives compound P as a major product. The mass percentage of carbon in P is ​. (to the nearest integer) (Atomic mass : C = 12; H = 1; O = 16)
    Chemistry · Alcohols Phenols and Ethers · Numerical
  11. Q11.For a d4 metal ion in an octahedral field, the correct electronic configuration is :
    Chemistry · Coordination Compounds · MCQ
  12. Q12.The increasing order of the boiling points of the major products A, B and C of the following reactions will be : Includes diagram
    Chemistry · Haloalkanes and Haloarenes · MCQ
  13. Q13.Match the following : Includes table
    Chemistry · Salt Analysis · MCQ
  14. Q14.The value of KC is 64 at 800 K for the reaction N2​(g) + 3H2​(g) ⇌ 2NH3​(g) The value of KC for the following reaction is : NH3​(g) ⇌ 21​ N2​(g) + 23​ H2​(g)
    Chemistry · Chemical Equilibrium · MCQ
  15. Q15.A set of solutions is prepared using 180 g of water as a solvent and 10 g of different nonvolatile solutes A, B and C. The relative lowering of vapour pressure in the presence of these solutes are in the order : [Given, molar mass of A =…
    Chemistry · Solutions · MCQ
  16. Q16.For the given cell : Cu(s) | Cu2+(C1M) || Cu2+(C2M) | Cu(s) change in Gibbs energy (Δ G) is negative, if :
    Chemistry · Electrochemistry · MCQ
  17. Q17.Which one of the following statements is not true?
    Chemistry · Biomolecules · MCQ
  18. Q18.For a suitably chosen real constant a, let a function, f:R−{−a}→R be defined by f(x)=a+xa−x​. Further suppose that for any real number xe−a and f(x)e−a, (fof)(x) = x. Then f(−21​)…
    Mathematics · Functions · MCQ
  19. Q19.Let L denote the line in the xy-plane with x and y intercepts as 3 and 1 respectively. Then the image of the point (–1, –4) in this line is :
    Mathematics · Straight Lines and Pair of Straight Lines · MCQ
  20. Q20.The area (in sq. units) of the region enclosed by the curves y = x2 – 1 and y = 1 – x2 is equal to :
    Mathematics · Area Under the Curves · MCQ
  21. Q21.Let z = x + iy be a non-zero complex number such that z2=i∣z∣2, where i = −1​ , then z lies on the :
    Mathematics · Complex Numbers · MCQ
  22. Q22.The integral 1∫2​ex.xx(2+loge​x)dx equals :
    Mathematics · Definite Integration · MCQ
  23. Q23.For all twice differentiable functions f : R → R, with f(0) = f(1) = f'(0) = 0
    Mathematics · Limits Continuity and Differentiability · MCQ
  24. Q24.Let f : R → R be a function defined by f(x) = max {x, x2}. Let S denote the set of all points in R, where f is not differentiable. Then :
    Mathematics · Limits Continuity and Differentiability · MCQ
  25. Q25.The set of all real values of λ for which the function f(x)=(1−cos2x)(λ+sinx),x∈(−2π​,2π​) has exactly one maxima and exactly one…
    Mathematics · Application of Derivatives · MCQ
  26. Q26.The sum of distinct values of λ for which the system of equations (λ−1)x+(3λ+1)y+2λz=0(λ−1)x+(4λ−2)y+(λ+3)z=02x+(3λ+1)y+3(λ−1)z=0…
    Mathematics · Matrices and Determinants · Numerical
  27. Q27.Consider the data on x taking the values 0, 2, 4, 8,....., 2n with frequencies nC0 , nC1 , nC2 ,...., nCn respectively. If the mean of this data is 2n728​, then n is equal to ​ .
    Mathematics · Statistics · Numerical
  28. Q28.If x and y​ be two non-zero vectors such that ​x+y​​=​x​ and 2x+λy​ is…
    Mathematics · Vector Algebra · Numerical
  29. Q29.Suppose that a function f : R → R satisfies f(x + y) = f(x)f(y) for all x, y ∈ R and f(1) = 3. If i=1∑n​f(i)=363 then n is equal to ​ .
    Mathematics · Functions · Numerical
  30. Q30.The number of words (with or without meaning) that can be formed from all the letters of the word “LETTER” in which vowels never come together is ​ .
    Mathematics · Permutations and Combinations · Numerical
  31. Q31.The common difference of the A.P. b1, b2, … , bm is 2 more than the common difference of A.P. a1, a2, …, an. If a40 = –159, a100 = –399 and b100 = a70, then b1 is equal to :
    Mathematics · Sequences and Series · MCQ
  32. Q32.If α and β are the roots of the equation 2x(2x + 1) = 1, then β is equal to :
    Mathematics · Quadratic Equation and Inequalities · MCQ
  33. Q33.The probabilities of three events A, B and C are given by P(A) = 0.6, P(B) = 0.4 and P(C) = 0.5. If P(A ∪ B) = 0.8, P(A ∩ C) = 0.3, P(A ∩ B ∩ C) = 0.2, P(B ∩ C) = β and P(A ∪ B ∪ C) = α,…
    Mathematics · Probability · MCQ
  34. Q34.If the constant term in the binomial expansion of (x​−x2k​)10 is 405, then |k| equals :
    Mathematics · Binomial Theorem · MCQ
  35. Q35.Let θ=5π​ and A=[cosθ−sinθ​sinθcosθ​]. If B = A + A4 , then det (B) :
    Mathematics · Matrices and Determinants · MCQ
  36. Q36.Assuming the nitrogen molecule is moving with r.m.s. velocity at 400 K, the de-Broglie wavelength of nitrogen molecule is close to : (Given : nitrogen molecule weight : 4.64 × 10–26 kg, Boltzman constant: 1.38 × 10–23 J/K,…
    Physics · Dual Nature of Radiation · MCQ
  37. Q37.The linear mass density of a thin rod AB of length L varies from A to B as λ(x)=λ0​(1+Lx​), where x is the distance from A. If M is the mass of the rod then its moment of inertia…
    Physics · Rotational Motion · MCQ
  38. Q38.Three rods of identical cross-section and lengths are made of three different materials of thermal conductivity K1 , K2 and K3 , respecrtively. They are joined together at their ends to make a long rod (see figure). One end of the long rod… Includes diagram
    Physics · Heat and Thermodynamics · MCQ
  39. Q39.A fluid is flowing through a horizontal pipe of varying cross-section, with speed v ms–1 at a point where the pressure is P pascal. At another point where pressure is 2P​ Pascal its speed is V ms–1. If the density of the fluid is…
    Physics · Properties of Matter · MCQ
  40. Q40.When a particle of mass m is attached to a vertical spring of spring constant k and released, its motion is described by y(t) = y0 sin2 ω t, where 'y' is measured from the lower end of unstretched spring. Then ω is:
    Physics · Simple Harmonic Motion · MCQ
  41. Q41.In a dilute gas at pressure P and temperature T, the mean time between successive collisions of a molecule varies with T as :
    Physics · Heat and Thermodynamics · MCQ
  42. Q42.A circuit to verify Ohm's law uses ammeter and voltmeter in series or parallel connected correctly to the resistor. In the circuit :
    Physics · Current Electricity · MCQ
  43. Q43.A square loop of side 2 a and carrying current I is kept in xz plane with its centre at origin. A long wire carrying the same current I is placed parallel to z-axis and passing through point (0, b, 0), (b >> a). The magnitude of…
    Physics · Magnetics · MCQ
  44. Q44.A charged particle going around in a circle can be considered to be a current loop. A particle of mass m carrying charge q is moving in a plane with speed v under the influence of magnetic field B. The magnetic moment of…
    Physics · Magnetics · MCQ
  45. Q45.A double convex lens has power P and same radii of curvature R of both the surfaces. The radius of curvature of a surface of a plano-convex lens made of the same material with power 1.5 P is :
    Physics · Geometrical Optics · MCQ
  46. Q46.When a car is at rest, its driver sees rain drops falling on it vertically. When driving the car with speed v, he sees that rain drops are coming at an angle 60° from the horizontal. On further increasing the speed of the car to (1 + β…
    Physics · Motion in A Plane · MCQ
  47. Q47.Particle A of mass m1 moving with velocity (3​i+j​)ms−1 collides with another particle B of mass m2 which is at rest initially. Let V1​​ and V2​​ be…
    Physics · Center of Mass · MCQ
  48. Q48.A particle moving in the xy plane experiences a velocity dependent force F=k(vy​i+vx​j​), where vx and vy are the x and y components of its velocity v. If a…
    Physics · Laws of Motion · MCQ
  49. Q49.In a series LR circuit, power of 400W is dissipated from a source of 250 V, 50 Hz. The power factor of the circuit is 0.8. In order to bring the power factor to unity, a capacitor of value C is added in series to the L and R. Taking the…
    Physics · Alternating Current · Numerical
  50. Q50.A Young's double-slit experiment is performed using monochromatic light of wavelength λ. The intensity of light at a point on the screen, where the path difference is λ, is K units. The intensity of light at a point where…
    Physics · Wave Optics · Numerical
  51. Q51.The centre of mass of solid hemisphere of radius 8 cm is x from the centre of the flat surface. Then value of x is ​.
    Physics · Center of Mass · Numerical
  52. Q52.For a plane electromagnetic wave, the magnetic field at a point x and time t is B(x,t)=[1.2×10−7sin(0.5×103x+1.5×1011t)k]…
    Physics · Electromagnetic Waves · MCQ
  53. Q53.Given the masses of various atomic particles mp = 1.0072 u, mn = 1.0087 u, me = 0.000548 u, mv​= 0, md = 2.0141 u, where p ≡ proton, n ≡ neutron, e ≡ electron, v≡ antineutrino and d ≡…
    Physics · Atoms and Nuclei · MCQ
  54. Q54.Two planets have masses M and 16 M and their radii are a and 2 a, respectively. The separation between the centres of the planets is 10 a. A body of mass m is fired from the surface of the larger planet towards the smaller planet…
    Physics · Gravitation · MCQ
  55. Q55.Consider the force F on a charge 'q' due to a uniformly charged spherical shell of radius R carrying charge Q distributed uniformly over it. Which one of the following statements is true for F, if 'q' is placed at distance r from the…
    Physics · Electrostatics · MCQ
  56. Q56.In the figure shown, the current in the 10 V battery is close to : Includes diagram
    Physics · Current Electricity · MCQ
  57. Q57.A student measuring the diameter of a pencil of circular cross-section with the help of a vernier scale records the following four readings 5.50 mm, 5.55 mm, 5.45 mm, 5.65 mm. The average of these four readings is 5.5375 mm and the…
    Physics · Units and Measurements · MCQ
  58. Q58.Two identical electric point dipoles have dipole moments p​1​=pi and p​2​=−pi and are held on the x axis at distance 'a' from each other. When released, they move along the…
    Physics · Electrostatics · MCQ