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2020 · 4 Sep · Shift 2

64 questions · JEE Main
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  4. /2020 · 4 Sep · Shift 2

2020 · 4 Sep · Shift 2

64 questions · JEE Main

Chemistry21 questionsMathematics19 questionsPhysics24 questions
Coordination CompoundsChemistry · 3 questionsThermodynamicsChemistry · 2 questionsD and F Block ElementsChemistry · 1 questionsHaloalkanes and HaloarenesChemistry · 2 questionsCompounds Containing NitrogenChemistry · 1 questionsBiomoleculesChemistry · 1 questionsRedox ReactionsChemistry · 1 questionsChemical Kinetics and Nuclear ChemistryChemistry · 1 questionsSome Basic Concepts of ChemistryChemistry · 1 questionsSolutionsChemistry · 1 questionsAlcohols Phenols and EthersChemistry · 2 questionsAldehydes Ketones and Carboxylic AcidsChemistry · 1 questionsElectrochemistryChemistry · 1 questionsStructure of AtomChemistry · 1 questionsChemical EquilibriumChemistry · 1 questionsChemical Bonding and Molecular StructureChemistry · 1 questionsPermutations and CombinationsMathematics · 1 questionsStatisticsMathematics · 1 questionsMatrices and DeterminantsMathematics · 2 questionsDefinite IntegrationMathematics · 2 questionsProbabilityMathematics · 1 questionsApplication of DerivativesMathematics · 1 questionsSequences and SeriesMathematics · 2 questionsLimits Continuity and DifferentiabilityMathematics · 2 questionsStraight Lines and Pair of Straight LinesMathematics · 1 questionsComplex NumbersMathematics · 1 questionsVector AlgebraMathematics · 1 questionsCircleMathematics · 1 questionsSets and RelationsMathematics · 1 questionsQuadratic Equation and InequalitiesMathematics · 1 questionsDifferential EquationsMathematics · 1 questionsGeometrical OpticsPhysics · 1 questionsHeat and ThermodynamicsPhysics · 2 questionsWave OpticsPhysics · 1 questionsProperties of MatterPhysics · 2 questionsCurrent ElectricityPhysics · 2 questionsDual Nature of RadiationPhysics · 1 questionsRotational MotionPhysics · 2 questionsUnits and MeasurementsPhysics · 1 questionsMotion in A Straight LinePhysics · 1 questionsElectronic DevicesPhysics · 1 questionsWork Power and EnergyPhysics · 1 questionsElectromagnetic WavesPhysics · 1 questionsAlternating CurrentPhysics · 1 questionsLaws of MotionPhysics · 1 questionsMagneticsPhysics · 1 questionsElectrostaticsPhysics · 1 questionsAtoms and NucleiPhysics · 1 questionsCapacitorPhysics · 1 questionsGravitationPhysics · 1 questionsMagnetic Properties of MatterPhysics · 1 questions
  1. Q1.The one that can exhibit highest paramagnetic behaviour among the following is : gly = glycinato; bpy = 2, 2'-bipyridine
    Chemistry · Coordination Compounds · MCQ
  2. Q2.The Crystal Field Stabilization Energy (CFSE) of [CoF3​(H2​O)3​] (Δ 0 < P) is :
    Chemistry · Coordination Compounds · MCQ
  3. Q3.The process that is NOT endothermic in nature is :
    Chemistry · Thermodynamics · MCQ
  4. Q4.The incorrect statement(s) among (a) - (c) is (are) (a) W(VI) is more stable than Cr(VI). (b) In the presence of HCl, permanganate titrations provide satisfactory results. (c) Some lanthanoid oxides can be used as phosphors.
    Chemistry · D and F Block Elements · MCQ
  5. Q5.Among the following compounds, which one has the shortest C – Cl bond?
    Chemistry · Haloalkanes and Haloarenes · MCQ
  6. Q6.In the following reaction sequence, [C] is : Includes diagram
    Chemistry · Compounds Containing Nitrogen · MCQ
  7. Q7.The number of chiral centres present in threonine is ​.
    Chemistry · Biomolecules · Numerical
  8. Q8.A 100 mL solution was made by adding 1.43 g of Na2​CO3​.xH2​O. The normality of the solution is 0.1 N. The value of x is ​. (The atomic mass of Na is 23 g/mol)
    Chemistry · Redox Reactions · Numerical
  9. Q9.The number of molecules with energy greater than the threshold energy for a reaction increases five fold by a rise of temperature from 27oC to 42oC. Its energy of activation in J/mol is ​. (Take ln 5 = 1.6094; R =…
    Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
  10. Q10.Consider the following equations : 2Fe2+ + H2​O2​ → xA + yB (in basic medium) 2MnO4−​ + 6H+ + 5H2​O2​ → x'C + y'D + z'E (in acidic medium) The sum of the stoichiometric coefficients x, y, x', y', and z' for products…
    Chemistry · Some Basic Concepts of Chemistry · Numerical
  11. Q11.The osmotic pressure of a solution of NaCl is 0.10 atm and that of a glucose solution is 0.20 atm. The osmotic pressure of a solution formed by mixing 1 L of the sodium chloride solution with 2 L of the glucose solution is x × 10–3…
    Chemistry · Solutions · Numerical
  12. Q12.Which of the following compounds will form the precipitate with aq. AgNO3​ solution most readily?
    Chemistry · Haloalkanes and Haloarenes · MCQ
  13. Q13.The major product [R] in the following sequence of reactions as : Includes diagram
    Chemistry · Alcohols Phenols and Ethers · MCQ
  14. Q14.The molecule in which hybrid MOs involve only one d-orbital of the central atom is :
    Chemistry · Coordination Compounds · MCQ
  15. Q15.The major product [C] of the following reaction sequence will be : Includes diagram
    Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
  16. Q16.The major product [B] in the following reactions is : Includes diagram
    Chemistry · Alcohols Phenols and Ethers · MCQ
  17. Q17.250 mL of a waste solution obtained from the workshop of a goldsmith contains 0.1 M AgNO3​ and 0.1 M AuCl. The solution was electrolyzed at 2V by passing a current of 1A for 15 minutes. The metal/metals electrodeposited will be [ EAg+/Ag0​…
    Chemistry · Electrochemistry · MCQ
  18. Q18.Five moles of an ideal gas at 1 bar and 298 K is expanded into vacuum to double the volume. The work done is :
    Chemistry · Thermodynamics · MCQ
  19. Q19.The shortest wavelength of H atom in the Lyman series is λ 1. The longest wavelength in the Balmar series of He+ is :
    Chemistry · Structure of Atom · MCQ
  20. Q20.If the equilibrium constant for A ⇌ B + C is Keq(1)​ and that of B + C ⇌ P is Keq(2)​, the equilibrium constant for A ⇌ P is :
    Chemistry · Chemical Equilibrium · MCQ
  21. Q21.The reaction in which the hybridisation of the underlined atom is affected is :
    Chemistry · Chemical Bonding and Molecular Structure · MCQ
  22. Q22.A test consists of 6 multiple choice questions, each having 4 alternative answers of which only one is correct. The number of ways, in which a candidate answers all six questions such that exactly four of the answers are correct, is ​…
    Mathematics · Permutations and Combinations · Numerical
  23. Q23.If the variance of the following frequency distribution : Class : 10–20 20–30 30–40 Frequency : 2 x 2 is 50, then x is equal to ​
    Mathematics · Statistics · Numerical
  24. Q24.If the system of equations x+y+z=2 2x+4y–z=6 3x+2y+λ z=μ has infinitely many solutions, then
    Mathematics · Matrices and Determinants · MCQ
  25. Q25.The integral 6π​∫3π​​tan3x.sin23x(2sec2x.sin23x+3tanx.sin6x)dx is equal to:
    Mathematics · Definite Integration · MCQ
  26. Q26.In a game two players A and B take turns in throwing a pair of fair dice starting with player A and total of scores on the two dice, in each throw is noted. A wins the game if he throws total a of 6 before B throws a total of 7 and B wins…
    Mathematics · Probability · MCQ
  27. Q27.The area (in sq. units) of the largest rectangle ABCD whose vertices A and B lie on the x-axis and vertices C and D lie on the parabola, y = x2–1 below the x-axis, is :
    Mathematics · Application of Derivatives · MCQ
  28. Q28.The minimum value of 2sinx + 2cosx is :
    Mathematics · Sequences and Series · MCQ
  29. Q29.Let f:(0,∞)→(0,∞) be a differentiable function such that f(1) = e and t→xlim​t−xt2f2(x)−x2f2(t)​=0. If f(x) = 1, then x is equal…
    Mathematics · Limits Continuity and Differentiability · MCQ
  30. Q30.If the perpendicular bisector of the line segment joining the points P(1 ,4) and Q(k, 3) has y-intercept equal to –4, then a value of k is :
    Mathematics · Straight Lines and Pair of Straight Lines · MCQ
  31. Q31.If a and b are real numbers such that (2+α)4=a+bα where α=2−1+i3​​ then a + b is equal to :
    Mathematics · Complex Numbers · MCQ
  32. Q32.Suppose the vectors x1, x2 and x3 are the solutions of the system of linear equations, Ax = b when the vector b on the right side is equal to b1, b2 and b3 respectively. if x1​=​111​​…
    Mathematics · Matrices and Determinants · MCQ
  33. Q33.If a=2i+j​+2k, then the value of ​i×(a×i)​2+​j​×(a×j​)​2+​k×(a×k)​2…
    Mathematics · Vector Algebra · Numerical
  34. Q34.Let PQ be a diameter of the circle x2 + y2 = 9. If α and β are the lengths of the perpendiculars from P and Q on the straight line, x + y = 2 respectively, then the maximum value of αβ is ​.
    Mathematics · Circle · Numerical
  35. Q35.Let {x} and [x] denote the fractional part of x and the greatest integer ≤ x respectively of a real number x. If ∫0n​{x}dx,∫0n​[x]dx and 10(n2 – n), (n∈N,n>1)…
    Mathematics · Definite Integration · Numerical
  36. Q36.Let a1, a2, ..., an be a given A.P. whose common difference is an integer and Sn = a1 + a2 + .... + an. If a1 = 1, an = 300 and 15 ≤ n ≤ 50, then the ordered pair (Sn-4, an–4) is equal to:
    Mathematics · Sequences and Series · MCQ
  37. Q37.Let i=1∪50​Xi​=i=1∪n​Yi​=T where each Xi contains 10 elements and each Yi contains 5 elements. If each element of the set T is an element of exactly 20 of sets Xi’s and…
    Mathematics · Sets and Relations · MCQ
  38. Q38.Let λe0 be in R. If α and β are the roots of the equation, x2 - x + 2 λ= 0 and α and γ are the roots of the equation, 3x2−10x+27λ=0, then λβγ​ is…
    Mathematics · Quadratic Equation and Inequalities · MCQ
  39. Q39.The solution of the differential equation dxdy​−loge​(y+3x)y+3x​+3=0 is: (where c is a constant of integration)
    Mathematics · Differential Equations · MCQ
  40. Q40.The function f(x)={4π​+tan−1x,21​(∣x∣−1),​∣x∣≤1∣x∣>1​ is :
    Mathematics · Limits Continuity and Differentiability · MCQ
  41. Q41.The distance between an object and a screen is 100 cm. A lens can produce real image of the object on the screen for two different positions between the screen and the object. The distance between these two positions is 40 cm. If the power…
    Physics · Geometrical Optics · Numerical
  42. Q42.The change in the magnitude of the volume of an ideal gas when a small additional pressure Δ P is applied at a constant temperature, is the same as the change when the temperature is reduced by a small quantity Δ T at…
    Physics · Heat and Thermodynamics · Numerical
  43. Q43.Orange light of wavelength 6000 × 10–10 m illuminates a single slit of width 0.6 × 10–4 m. The maximum possible number of diffraction minima produced on both sides of the central maximum is ​.
    Physics · Wave Optics · Numerical
  44. Q44.Two identical cylindrical vessels are kept on the ground and each contain the same liquid of density d. The area of the base of both vessels is S but the height of liquid in one vessel is x1 and in the other, x2 . When both cylinders are…
    Physics · Properties of Matter · MCQ
  45. Q45.The value of current i1 flowing from A to C in the circuit diagram is : Includes diagram
    Physics · Current Electricity · MCQ
  46. Q46.In a photoelectric effect experiment, the graph of stopping potential V versus reciprocal of wavelength obtained is shown in the figure. As the intensity of incident radiation is increased : Includes diagram
    Physics · Dual Nature of Radiation · MCQ
  47. Q47.For a uniform rectangular sheet shown in the figure, the ratio of moments of inertia about the axes perpendicular to the sheet and passing through O (the centre of mass) and O' (corner point) is : Includes diagram
    Physics · Rotational Motion · MCQ
  48. Q48.Four resistances 40 Ω, 60 Ω, 90 Ω and 110 Ω make the arms of a quadrilateral ABCD. Across AC is a battery of emf 40 V and internal resistance negligible.The potential difference across BD in V is ​… Includes diagram
    Physics · Current Electricity · Numerical
  49. Q49.A quantity x is given by (WL4IFv2​) in terms of moment of inertia I, force F, velocity v, work W and Length L. The dimensional formula for x is same as that of :
    Physics · Units and Measurements · MCQ
  50. Q50.The speed verses time graph for a particle is shown in the figure. The distance travelled (in m) by the particle during the time interval t = 0 to t = 5 s will be ​. Includes diagram
    Physics · Motion in A Straight Line · Numerical
  51. Q51.Identify the operation performed by the circuit given below : Includes diagram
    Physics · Electronic Devices · MCQ
  52. Q52.A person pushes a box on a rough horizontal plateform surface. He applies a force of 200 N over a distance of 15 m. Thereafter, he gets progressively tired and his applied force reduces linearly with distance to 100 N. The total distance…
    Physics · Work Power and Energy · MCQ
  53. Q53.A cube of metal is subjected to a hydrostatic pressure of 4 GPa. The percentage change in the length of the side of the cube is close to : (Given bulk modulus of metal, B = 8 × 1010 Pa)
    Physics · Properties of Matter · MCQ
  54. Q54.The electric field of a plane electromagnetic wave is given by E=E0​(x+y​)sin(kz−ωt) Its magnetic field will be given by :
    Physics · Electromagnetic Waves · MCQ
  55. Q55.Consider two uniform discs of the same thickness and different radii R1 = R and R2 = α R made of the same material. If the ratio of their moments of inertia I1 and I2 , respectively, about their axes is I1 : I2 = 1 : 16 then the…
    Physics · Rotational Motion · MCQ
  56. Q56.A series L-R circuit is connected to a battery of emf V. If the circuit is switched on at t = 0, then the time at which the energy stored in the inductor reaches (n1​) times of its maximum value, is :
    Physics · Alternating Current · MCQ
  57. Q57.Match the thermodynamic processes taking place in a system with the correct conditions. In the table : Δ Q is the heat supplied, Δ W is the work done and Δ U is change in internal energy of the system. Includes table
    Physics · Heat and Thermodynamics · MCQ
  58. Q58.A small ball of mass m is thrown upward with velocity u from the ground. The ball experiences a resistive force mkv2 where v is its speed. The maximum height attained by the ball is :
    Physics · Laws of Motion · MCQ
  59. Q59.A circular coil has moment of inertia 0.8 kg m2 around any diameter and is carrying current to produce a magnetic moment of 20 Am2 . The coil is kept initially in a vertical position and it can rotate freely around a horizontal diameter.…
    Physics · Magnetics · MCQ
  60. Q60.A particle of charge q and mass m is subjected to an electric field E = E0 (1 – a x2) in the x-direction, where a and E0 are constants. Initially the particle was at rest at x = 0. Other than the initial position the kinetic energy of…
    Physics · Electrostatics · MCQ
  61. Q61.Find the Binding energy per neucleon for 50120​Sn. Mass of proton mp = 1.00783 U, mass of neutron mn = 1.00867 U and mass of tin nucleus mSn = 119.902199 U. (take 1U = 931 MeV)
    Physics · Atoms and Nuclei · MCQ
  62. Q62.A capacitor C is fully charged with voltage V0. After disconnecting the voltage source, it is connected in parallel with another uncharged capacitor of capacitance 2C​. The energy loss in the process after the charge is…
    Physics · Capacitor · MCQ
  63. Q63.A body is moving in a low circular orbit about a planet of mass M and radius R. The radius of the orbit can be taken to be R itself. Then the ratio of the speed of this body in the orbit to the escape velocity from the planet is:
    Physics · Gravitation · MCQ
  64. Q64.A paramagnetic sample shows a net magnetisation of 6 A/m when it is placed in an external magnetic field of 0.4 T at a temperature of 4 K. When the sample is placed in an external magnetic field of 0.3 T at a temperature of 24 K, then the…
    Physics · Magnetic Properties of Matter · MCQ