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2021 · 25 Feb · Shift 2

76 questions · JEE Main
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  4. /2021 · 25 Feb · Shift 2

2021 · 25 Feb · Shift 2

76 questions · JEE Main

Chemistry23 questionsMathematics25 questionsPhysics28 questions
HydrocarbonsChemistry · 2 questionsAlcohols Phenols and EthersChemistry · 1 questionsIonic EquilibriumChemistry · 1 questionsChemical Bonding and Molecular StructureChemistry · 1 questionsCoordination CompoundsChemistry · 2 questionsBasics of Organic ChemistryChemistry · 1 questionsCompounds Containing NitrogenChemistry · 2 questionsSalt AnalysisChemistry · 1 questionsBiomoleculesChemistry · 1 questionsPractical Organic ChemistryChemistry · 2 questionsAldehydes Ketones and Carboxylic AcidsChemistry · 2 questionsPeriodic Table and PeriodicityChemistry · 1 questionsElectrochemistryChemistry · 1 questionsSolutionsChemistry · 1 questionsStructure of AtomChemistry · 2 questionsThermodynamicsChemistry · 1 questionsChemical Kinetics and Nuclear ChemistryChemistry · 1 questionsParabolaMathematics · 1 questionsFunctionsMathematics · 2 questionsIndefinite IntegralsMathematics · 1 questionsProbabilityMathematics · 2 questionsQuadratic Equation and InequalitiesMathematics · 1 questionsTrigonometric Ratio and IdentitesMathematics · 1 questionsInverse Trigonometric FunctionsMathematics · 1 questionsMatrices and DeterminantsMathematics · 3 questionsComplex NumbersMathematics · 1 questionsSequences and SeriesMathematics · 1 questionsDefinite IntegrationMathematics · 2 questionsEllipseMathematics · 1 questionsHyperbolaMathematics · 1 questionsBinomial TheoremMathematics · 2 questions3D GeometryMathematics · 1 questionsLimits Continuity and DifferentiabilityMathematics · 2 questionsVector AlgebraMathematics · 1 questionsDifferential EquationsMathematics · 1 questionsAlternating CurrentPhysics · 2 questionsCapacitorPhysics · 1 questionsRotational MotionPhysics · 1 questionsDual Nature of RadiationPhysics · 2 questionsWave OpticsPhysics · 1 questionsMagnetic Properties of MatterPhysics · 1 questionsHeat and ThermodynamicsPhysics · 2 questionsElectrostaticsPhysics · 3 questionsAtoms and NucleiPhysics · 1 questionsSimple Harmonic MotionPhysics · 3 questionsUnits and MeasurementsPhysics · 1 questionsElectronic DevicesPhysics · 2 questionsMotion in A Straight LinePhysics · 1 questionsVector AlgebraPhysics · 1 questionsWavesPhysics · 1 questionsGravitationPhysics · 1 questionsElectromagnetic WavesPhysics · 2 questionsCenter of MassPhysics · 1 questionsCurrent ElectricityPhysics · 1 questions
  1. Q1.The correct sequence of reagents used in the preparation of 4-bromo-2-nitroethyl benzene from benzene is :
    Chemistry · Hydrocarbons · MCQ
  2. Q2.What is 'X' in the given reaction? Includes diagram
    Chemistry · Alcohols Phenols and Ethers · MCQ
  3. Q3.The solubility of Ca(OH)2​ in water is : [Given : The solubility product of Ca(OH)2​ in water = 5.5 × 10 − 6]
    Chemistry · Ionic Equilibrium · MCQ
  4. Q4.Which among the following species has unequal bond lengths?
    Chemistry · Chemical Bonding and Molecular Structure · MCQ
  5. Q5.In which of the following order the given complex ions are arranged correctly with respect to their decreasing spin only magnetic moment? (i) [FeF6​]3− (ii) [Co(NH3​)6​]3+ (iii) [NiCl4​]2− (iv) [Cu(NH3​)4​]2+
    Chemistry · Coordination Compounds · MCQ
  6. Q6.The correct order of acid character of the following compounds is : Includes diagram
    Chemistry · Basics of Organic Chemistry · MCQ
  7. Q7.The major product of the following reaction is : Includes diagram
    Chemistry · Hydrocarbons · MCQ
  8. Q8.Correct statement about the given chemical reaction is : Includes diagram
    Chemistry · Compounds Containing Nitrogen · MCQ
  9. Q9.Given below are two statements : Statement I : The identification of Ni2+ is carried out by dimethyl glyoxime in the presence of NH4​OH. Statement II : The dimethyl glyoxime is a bidentate neutral ligand. In the light of the above…
    Chemistry · Salt Analysis · MCQ
  10. Q10.Carbylamine test is used to detect the presence of primary amino group in an organic compound. Which of the following compound is formed when this test is performed with aniline?
    Chemistry · Compounds Containing Nitrogen · MCQ
  11. Q11.Which of the following is correct structure of α-anomer of maltose?
    Chemistry · Biomolecules · MCQ
  12. Q12.Which of the following compound is added to the sodium extract before addition of silver nitrate for testing of halogens?
    Chemistry · Practical Organic Chemistry · MCQ
  13. Q13.The major product of the following reaction is : Includes diagram
    Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
  14. Q14.The correct order of bond dissociation enthalpy of halogens is :
    Chemistry · Periodic Table and Periodicity · MCQ
  15. Q15.Copper reduces NO 3−​ into NO and NO2​ depending upon the concentration of HNO3​ in solution. (Assuming fixed [Cu2+] and PNO = PNO2), the HNO3​ concentration at which the thermodynamic tendency for reduction of NO 3−​ into NO…
    Chemistry · Electrochemistry · Numerical
  16. Q16.The spin only magnetic moment of a divalent ion in aqueous solution (atomic number 29) is ​ BM.
    Chemistry · Coordination Compounds · Numerical
  17. Q17.If a compound AB dissociates to the extent of 75% in an aqueous solution, the molality of the solution which shows a 2.5 K rise in the boiling point of the solution is ​ molal. (Rounded off to the nearest integer)…
    Chemistry · Solutions · Numerical
  18. Q18.Electromagnetic radiation of wavelength 663 nm is just sufficient to ionise the atom of metal A. The ionization enegy of metal A in kJ mol − 1 is ​. (Rounded off to the nearest integer) [h = 6.63 × 10 −…
    Chemistry · Structure of Atom · Numerical
  19. Q19.Consider titration of NaOH solution versus 1.25 M oxalic acid solution. At the end point following burette readings were obtained. (i) 4.5 mL (ii) 4.5 mL (iii) 4.4 mL (iv) 4.4 mL (v) 4.4 mL If the volume of oxalic acid taken was 10.0 mL…
    Chemistry · Practical Organic Chemistry · Numerical
  20. Q20.Five moles of an ideal gas at 293 K is expanded isothermally from an initial pressure of 2.1 MPa to 1.3 MPa against at constant external pressure 4.3 MPa. The heat transferred in this process is ​ kJ mol − 1.…
    Chemistry · Thermodynamics · Numerical
  21. Q21.The number of compound/s given below which contain/s -COOH group is ​. (Integer answer) (A) Sulphanilic acid (B) Picric acid (C) Aspirin (D) Ascorbic acid
    Chemistry · Aldehydes Ketones and Carboxylic Acids · Numerical
  22. Q22.The rate constant of a reaction increases by five times on increase in temperature from 27 ∘ C to 52 ∘ C. The value of activation energy in kJ mol − 1 is ​. (Rounded off to the nearest integer) [R =…
    Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
  23. Q23.Among the following, number of metal/s which can be used as electrodes in the photoelectric cell is ​. (Integer answer) (A) Li (B) Na (C) Rb (D) Cs
    Chemistry · Structure of Atom · Numerical
  24. Q24.The shortest distance between the line x − y = 1 and the curve x2 = 2y is :
    Mathematics · Parabola · MCQ
  25. Q25.A function f(x) is given by f(x)=5x+55x​, then the sum of the series f(201​)+f(202​)+f(203​)+.......+f(2039​)…
    Mathematics · Functions · MCQ
  26. Q26.Let x denote the total number of one-one functions from a set A with 3 elements to a set B with 5 elements and y denote the total number of one-one functions form the set A to the set A × B. Then :
    Mathematics · Functions · MCQ
  27. Q27.The integral ∫e4loge​x+5e3loge​x−7e2loge​xe3loge​2x+5e2loge​2x​dx, x > 0, is equal to : (where c is a constant of integration)
    Mathematics · Indefinite Integrals · MCQ
  28. Q28.Let A be a set of all 4-digit natural numbers whose exactly one digit is 7. Then the probability that a randomly chosen element of A leaves remainder 2 when divided by 5 is :
    Mathematics · Probability · MCQ
  29. Q29.Let α and β be the roots of x2 − 6x − 2 = 0. If an =α n −β n for n ≥ 1, then the value of 3a9​a10​−2a8​​ is :
    Mathematics · Quadratic Equation and Inequalities · MCQ
  30. Q30.If 0 < x, y < π and cosx + cosy − cos(x + y) =23​, then sinx + cosy is equal to :
    Mathematics · Trigonometric Ratio and Identites · MCQ
  31. Q31.cosec [2cot−1(5)+cos−1(54​)] is equal to :
    Mathematics · Inverse Trigonometric Functions · MCQ
  32. Q32.Let A be a 3 × 3 matrix with det(A) = 4. Let Ri denote the ith row of A. If a matrix B is obtained by performing the operation R2 → 2R2 + 5R3 on 2A, then det(B) is equal to :
    Mathematics · Matrices and Determinants · MCQ
  33. Q33.If α, β∈ R are such that 1 − 2i (here i2 =− 1) is a root of z2 + α z + β = 0, then (α−β) is equal to :
    Mathematics · Complex Numbers · MCQ
  34. Q34.The minimum value of f(x)=aax+a1−ax, where a, x∈R and a > 0, is equal to :
    Mathematics · Sequences and Series · MCQ
  35. Q35.If In​=4π​∫2π​​cotnxdx, then :
    Mathematics · Definite Integration · MCQ
  36. Q36.In a group of 400 people, 160 are smokers and non-vegetarian; 100 are smokers and vegetarian and the remaining 140 are non-smokers and vegetarian. Their chances of getting a particular chest disorder are 35%, 20% and 10% respectively. A…
    Mathematics · Probability · MCQ
  37. Q37.If for the matrix, A=[1α​−αβ​], AAT=I2​, then the value of α4+β4 is :
    Mathematics · Matrices and Determinants · MCQ
  38. Q38.If the curve x2 + 2y2 = 2 intersects the line x + y = 1 at two points P and Q, then the angle subtended by the line segment PQ at the origin is :
    Mathematics · Ellipse · MCQ
  39. Q39.The following system of linear equations 2x + 3y + 2z = 9 3x + 2y + 2z = 9 x − y + 4z = 8
    Mathematics · Matrices and Determinants · MCQ
  40. Q40.A hyperbola passes through the foci of the ellipse 25x2​+16y2​=1 and its transverse and conjugate axes coincide with major and minor axes of the ellipse, respectively. If the product of their…
    Mathematics · Hyperbola · MCQ
  41. Q41.If the remainder when x is divided by 4 is 3, then the remainder when (2020 + x)2022 is divided by 8 is ​.
    Mathematics · Binomial Theorem · Numerical
  42. Q42.The total number of two digit numbers 'n', such that 3n + 7n is a multiple of 10, is ​.
    Mathematics · Binomial Theorem · Numerical
  43. Q43.The value of −2∫2​∣3x2−3x−6∣dx is ​.
    Mathematics · Definite Integration · Numerical
  44. Q44.A line 'l' passing through origin is perpendicular to the lines l1​:r=(3+t)i+(−1+2t)j​+(4+2t)kl2​:r=(3+2s)i+(3+2s)j​+(2+s)k…
    Mathematics · 3D Geometry · Numerical
  45. Q45.A function f is defined on [− 3, 3] as f(x)={min{∣x∣,2−x2},[∣x∣],​−2≤x≤22<∣x∣≤3​ where [x] denotes the greatest integer ≤ x.…
    Mathematics · Limits Continuity and Differentiability · Numerical
  46. Q46.Let a=i+αj​+3k and b=3i−αj​+k. If the area of the parallelogram whose adjacent sides are represented by the vectors a…
    Mathematics · Vector Algebra · Numerical
  47. Q47.If x→0lim​ax(e4x−1)ax−(e4x−1)​ exists and is equal to b, then the value of a − 2b is ​.
    Mathematics · Limits Continuity and Differentiability · Numerical
  48. Q48.If the curve, y = y(x) represented by the solution of the differential equation (2xy2 − y)dx + xdy = 0, passes through the intersection of the lines, 2x − 3y = 1 and 3x + 2y = 8, then |y(1)| is equal to ​.
    Mathematics · Differential Equations · Numerical
  49. Q49.An LCR circuit contains resistance of 110 Ω and a supply of 220 V at 300 rad/s angular frequency. If only capacitance is removed from the circuit, current lags behind the voltage by 45 ∘. If on the other hand, only inductor…
    Physics · Alternating Current · MCQ
  50. Q50.An electron with kinetic energy K1 enters between parallel plates of a capacitor at an angle 'α' with the plates. It leaves the plates at angle 'β' with kinetic energy K2. Then the ratio of kinetic energies K1 : K2 will be :
    Physics · Capacitor · MCQ
  51. Q51.A sphere of radius 'a' and mass 'm' rolls along a horizontal plane with constant speed v0. It encounters an inclined plane at angle θ and climbs upward. Assuming that it rolls without slipping, how far up the sphere will travel? Includes diagram
    Physics · Rotational Motion · MCQ
  52. Q52.An electron of mass me and a proton of mass mp = 1836 me are moving with the same speed. The ratio of their de Broglie wavelength λprotonλelectron​ will be :
    Physics · Dual Nature of Radiation · MCQ
  53. Q53.Consider the diffraction pattern obtained from the sunlight incident on a pinhole of diameter 0.1 μ m. If the diameter of the pinhole is slightly increased, it will affect the diffraction pattern such that:
    Physics · Wave Optics · MCQ
  54. Q54.In a ferromagnetic material, below the curie temperature, a domain is defined as :
    Physics · Magnetic Properties of Matter · MCQ
  55. Q55.Given below are two statements : Statement I : In a diatomic molecule, the rotational energy at a given temperature obeys Maxwell's distribution. Statement II : In a diatomic molecule, the rotational energy at a given temperature equals…
    Physics · Heat and Thermodynamics · MCQ
  56. Q56.Match List I with List II. Choose the correct answer from the options given below : Includes table
    Physics · Alternating Current · MCQ
  57. Q57.A charge 'q' is placed at one corner of a cube as shown in figure. The flux of electrostatic field E through the shaded area is : Includes diagram
    Physics · Electrostatics · MCQ
  58. Q58.Thermodynamic process is shown below on a P-V diagram for one mole of an ideal gas. If V2 = 2V1 then the ratio of temperature T2/T1 is : Includes diagram
    Physics · Heat and Thermodynamics · MCQ
  59. Q59.The wavelength of the photon emitted by a hydrogen atom when an electron makes a transition from n = 2 to n = 1 state is :
    Physics · Atoms and Nuclei · MCQ
  60. Q60.Y = A sin(ω t + ϕ 0) is the time-displacement equation of a SHM. At t = 0 the displacement of the particle is Y=2A​ and it is moving along negative x-direction. Then the initial phase angle ϕ 0 will be:
    Physics · Simple Harmonic Motion · MCQ
  61. Q61.Two identical springs of spring constant '2k' are attached to a block of mass m and to fixed support (see figure). When the mass is displaced from equilibrium position on either side, it executes simple harmonic motion. The time period of… Includes diagram
    Physics · Simple Harmonic Motion · MCQ
  62. Q62.The point A moves with a uniform speed along the circumference of a circle of radius 0.36 m and covers 30 ∘ in 0.1 s. The perpendicular projection 'P' from 'A' on the diameter MN represents the simple harmonic motion of 'P'. The… Includes diagram
    Physics · Simple Harmonic Motion · MCQ
  63. Q63.If e is the electronic charge, c is the speed of light in free space and h is Planck's constant, the quantity 4πε0​1​hc∣e∣2​ has dimensions of :
    Physics · Units and Measurements · MCQ
  64. Q64.For extrinsic semiconductors; when doping level is increased;
    Physics · Electronic Devices · MCQ
  65. Q65.The truth table for the following logic circuit is : Includes diagram
    Physics · Electronic Devices · MCQ
  66. Q66.A stone is dropped from the top of a building. When it crosses a point 5 m below the top, another stone starts to fall from a point 25 m below the top. Both stones reach the bottom of building simultaneously. The height of the building is :
    Physics · Motion in A Straight Line · MCQ
  67. Q67.The stopping potential for electrons emitted from a photosensitive surface illuminated by light of wavelength 491 nm is 0.710 V. When the incident wavelength is changed to a new value, the stopping potential is 1.43 V. The new wavelength…
    Physics · Dual Nature of Radiation · MCQ
  68. Q68.If P×Q​=Q​×P, the angle between P and Q​ is θ(0 ∘<θ < 360 ∘). The value of 'θ'…
    Physics · Vector Algebra · Numerical
  69. Q69.The percentage increase in the speed of transverse waves produced in a stretched string if the tension is increased by 4%, will be ​%.
    Physics · Waves · Numerical
  70. Q70.The initial velocity vi required to project a body vertically upward from the surface of the earth to reach a height of 10R, where R is the radius of the earth, may be described in terms of escape velocity ve such that vi​=yx​​×ve​…
    Physics · Gravitation · Numerical
  71. Q71.The peak electric field produced by the radiation coming from the 8W bulb at a distance of 10 m is 10x​πμ0​c​​mV​. The efficiency of the bulb is 10% and it is a point source. The value of x…
    Physics · Electromagnetic Waves · Numerical
  72. Q72.Two identical conducting spheres with negligible volume have 2.1 nC and − 0.1 nC charges, respectively. They are brought into contact and then separated by a distance of 0.5 m. The electrostatic force acting between the spheres is ​×…
    Physics · Electrostatics · Numerical
  73. Q73.The wavelength of an X-ray beam is 10 Ao​. The mass of a fictitious particle having the same energy as that of the X-ray photons is 3x​h kg. The value of x is ​. (h = Planck's constant)
    Physics · Electromagnetic Waves · Numerical
  74. Q74.Two small spheres each of mass 10 mg are suspended from a point by threads 0.5 m long. They are equally charged and repel each other to a distance of 0.20 m. The charge on each of the sphere is 21a​×10−8 C. The…
    Physics · Electrostatics · Numerical
  75. Q75.Two particles having masses 4 g and 16 g respectively are moving with equal kinetic energies. The ratio of the magnitudes of their linear momentum is n : 2. The value of n will be ​.
    Physics · Center of Mass · Numerical
  76. Q76.A current of 6A enters one corner P of an equilateral triangle PQR having 3 wires of resistance 2 Ω each and leaves by the corner R. The currents i1 in ampere is ​. Includes diagram
    Physics · Current Electricity · Numerical