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2021 · 26 Feb · Shift 1

72 questions · JEE Main
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  4. /2021 · 26 Feb · Shift 1

2021 · 26 Feb · Shift 1

72 questions · JEE Main

Chemistry22 questionsMathematics21 questionsPhysics29 questions
Haloalkanes and HaloarenesChemistry · 2 questionsPractical Organic ChemistryChemistry · 1 questionsP Block ElementsChemistry · 1 questionsPeriodic Table and PeriodicityChemistry · 1 questionsBasics of Organic ChemistryChemistry · 1 questionsChemical Bonding and Molecular StructureChemistry · 1 questionsD and F Block ElementsChemistry · 1 questionsElectrochemistryChemistry · 2 questionsAlcohols Phenols and EthersChemistry · 3 questionsCompounds Containing NitrogenChemistry · 1 questionsBiomoleculesChemistry · 1 questionsStructure of AtomChemistry · 1 questionsThermodynamicsChemistry · 2 questionsRedox ReactionsChemistry · 1 questionsCoordination CompoundsChemistry · 1 questionsSolutionsChemistry · 1 questionsChemical EquilibriumChemistry · 1 questionsBinomial TheoremMathematics · 1 questionsLimits Continuity and DifferentiabilityMathematics · 1 questionsMatrices and DeterminantsMathematics · 2 questionsDefinite IntegrationMathematics · 3 questionsPermutations and CombinationsMathematics · 1 questionsSets and RelationsMathematics · 1 questionsStraight Lines and Pair of Straight LinesMathematics · 1 questionsCircleMathematics · 1 questionsInverse Trigonometric FunctionsMathematics · 1 questionsApplication of DerivativesMathematics · 1 questionsDifferential EquationsMathematics · 3 questionsSequences and SeriesMathematics · 1 questionsLogarithmMathematics · 1 questionsQuadratic Equation and InequalitiesMathematics · 1 questionsArea Under the CurvesMathematics · 1 questionsTrigonometric Ratio and IdentitesMathematics · 1 questionsCapacitorPhysics · 1 questionsAlternating CurrentPhysics · 2 questionsRotational MotionPhysics · 1 questionsProperties of MatterPhysics · 2 questionsElectronic DevicesPhysics · 2 questionsGeometrical OpticsPhysics · 1 questionsWave OpticsPhysics · 1 questionsSimple Harmonic MotionPhysics · 2 questionsUnits and MeasurementsPhysics · 1 questionsCircular MotionPhysics · 1 questionsHeat and ThermodynamicsPhysics · 2 questionsElectrostaticsPhysics · 1 questionsGravitationPhysics · 2 questionsDual Nature of RadiationPhysics · 1 questionsCenter of MassPhysics · 1 questionsAtoms and NucleiPhysics · 1 questionsCurrent ElectricityPhysics · 2 questionsLaws of MotionPhysics · 3 questionsWavesPhysics · 1 questionsElectromagnetic WavesPhysics · 1 questions
  1. Q1.For the given reaction What is 'A'? Includes diagram
    Chemistry · Haloalkanes and Haloarenes · MCQ
  2. Q2.Which of the following is 'a' FALSE statement ?
    Chemistry · Practical Organic Chemistry · MCQ
  3. Q3.Find A, B and C in the following reactions : NH3​+A+CO2​→(NH4​)2​CO3​(NH4​)2​CO3​+H2​O+B→NH4​HCO3​NH4​HCO3​+NaCl→NH4​Cl+C
    Chemistry · P Block Elements · MCQ
  4. Q4.Match List - I with List - II. Choose the most appropriate answer from the options given below : Includes table
    Chemistry · Periodic Table and Periodicity · MCQ
  5. Q5.Given below are two statements : Statement I : A mixture of chloroform and aniline can be separated by simple distillation. Statement II : When separating aniline from a mixture of aniline and water by steam distillation aniline boils…
    Chemistry · Basics of Organic Chemistry · MCQ
  6. Q6.Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : Dipole-dipole interactions are the only non-covalent interactions, resulting in hydrogen bond formation. Reason R :…
    Chemistry · Chemical Bonding and Molecular Structure · MCQ
  7. Q7.Which one of the following lanthanoids does not form MO2​? [M is lanthanoid metal]
    Chemistry · D and F Block Elements · MCQ
  8. Q8.For the given reaction : What is 'A'? Includes diagram
    Chemistry · Haloalkanes and Haloarenes · MCQ
  9. Q9.Compound A used as a strong oxidizing agent is amphoteric in nature. It is the part of lead storage batteries. Compound A is :
    Chemistry · Electrochemistry · MCQ
  10. Q10.Identify the major products A and B respectively in the following reactions of phenol : Includes diagram
    Chemistry · Alcohols Phenols and Ethers · MCQ
  11. Q11.An amine on reaction with benzensulphonyl chloride produces a compound insoluble in alkaline solution. This amine can be prepared by ammonolysis of ethyl chloride. The correct structure of amine is :
    Chemistry · Compounds Containing Nitrogen · MCQ
  12. Q12.Given below are two statements : Statement I : o-Nitrophenol is steam volatile due to intramolecular hydrogen bonding. Statement II : o-Nitrophenol has high melting due to hydrogen bonding. In the light of the above statements, choose the…
    Chemistry · Alcohols Phenols and Ethers · MCQ
  13. Q13.B reacts with Hydroxyl amine but does not give Tollen's test. Identify A and B. Includes diagram
    Chemistry · Alcohols Phenols and Ethers · MCQ
  14. Q14.Which of the following vitamin is helpful in delaying the blood clotting?
    Chemistry · Biomolecules · MCQ
  15. Q15.The orbital having two radial as well as two angular nodes is :
    Chemistry · Structure of Atom · MCQ
  16. Q16.For a chemical reaction A + B ⇌ C + D (Δr​HΘ = 80 kJ mol − 1) the entropy change Δr​SΘ depends on the temperature T (in K) as Δr​SΘ = 2T (J K − 1mol − 1). Minimum temperature…
    Chemistry · Thermodynamics · Numerical
  17. Q17.An exothermic reaction X → Y has an activation energy 30 kJ mol − 1. If energy change Δ E during the reaction is − 20 kJ, then the activation energy for the reverse reaction in kJ is ​. (Integer…
    Chemistry · Thermodynamics · Numerical
  18. Q18.Dichromate ion is treated with base, the oxidation number of Cr in the product formed is ​.
    Chemistry · Redox Reactions · Numerical
  19. Q19.Number of bridging CO ligands in [Mn2​(CO)10​] is ​.
    Chemistry · Coordination Compounds · Numerical
  20. Q20.Consider the following reaction MnO4−​+8H++5e−→Mn+2+4H2​O,Eo=1.51V. The quantity of electricity required in Faraday to reduce five moles of MnO4−​ is ​. (Integer answer)
    Chemistry · Electrochemistry · Numerical
  21. Q21.224 mL of SO2​(g) at 298 K and 1 atm is passed through 100 mL of 0.1 M NaOH solution. The non-volatile solute produced is dissolved in 36g of water. The lowering of vapour pressure of solution (assuming the solution in dilute) (P (H2​O)o​−…
    Chemistry · Solutions · Numerical
  22. Q22.A homogeneous ideal gaseous reaction AB2(g)​⇌A(g)​+2B(g)​ is carried out in a 25 litre flask at 27 ∘ C. The initial amount of AB2​ was 1 mole and the equilibrium pressure was 1.9 atm. The value…
    Chemistry · Chemical Equilibrium · Numerical
  23. Q23.The maximum value of the term independent of 't' in the expansion of (tx51​+t(1−x)101​​)10 where x ∈(0, 1) is :
    Mathematics · Binomial Theorem · MCQ
  24. Q24.The value of h→0lim​2{3​h(3​cosh−sinh)3​sin(6π​+h)−cos(6π​+h)​} is :
    Mathematics · Limits Continuity and Differentiability · MCQ
  25. Q25.Let A be a symmetric matrix of order 2 with integer entries. If the sum of the diagonal elements of A2 is 1, then the possible number of such matrices is :
    Mathematics · Matrices and Determinants · MCQ
  26. Q26.The value of −π/2∫π/2​1+3xcos2x​dx is :
    Mathematics · Definite Integration · MCQ
  27. Q27.The number of seven digit integers with sum of the digits equal to 10 and formed by using the digits 1, 2 and 3 only is :
    Mathematics · Permutations and Combinations · MCQ
  28. Q28.Let R = {(P, Q) | P and Q are at the same distance from the origin} be a relation, then the equivalence class of (1, − 1) is the set :
    Mathematics · Sets and Relations · MCQ
  29. Q29.The value of n=1∑100​n−1∫n​ex−[x]dx, where [ x ] is the greatest integer ≤ x, is :
    Mathematics · Definite Integration · MCQ
  30. Q30.The intersection of three lines x − y = 0, x + 2y = 3 and 2x + y = 6 is a :
    Mathematics · Straight Lines and Pair of Straight Lines · MCQ
  31. Q31.In the circle given below, let OA = 1 unit, OB = 13 unit and PQ ⊥ OB. Then, the area of the triangle PQB (in square units) is : Includes diagram
    Mathematics · Circle · MCQ
  32. Q32.The value of ​(a+1)(a+2)(a+2)(a+3)(a+3)(a+4)​a+2a+3a+4​111​​ is :
    Mathematics · Matrices and Determinants · MCQ
  33. Q33.If asin1x​=bcos−1x​=ctan−1y​; 0<x<1, then the value of cos(a+bπc​) is :
    Mathematics · Inverse Trigonometric Functions · MCQ
  34. Q34.The maximum slope of the curve y=21​x4−5x3+18x2−19x occurs at the point :
    Mathematics · Application of Derivatives · MCQ
  35. Q35.The rate of growth of bacteria in a culture is proportional to the number of bacteria present and the bacteria count is 1000 at initial time t = 0. The number of bacteria is increased by 20% in 2 hours. If the population of bacteria is…
    Mathematics · Differential Equations · MCQ
  36. Q36.In an increasing geometric series, the sum of the second and the sixth term is 225​ and the product of the third and fifth term is 25. Then, the sum of 4th, 6th and 8th terms is equal to :
    Mathematics · Sequences and Series · MCQ
  37. Q37.The value of the integral 0∫π​∣sin2x∣dx is ​.
    Mathematics · Definite Integration · Numerical
  38. Q38.The number of solutions of the equation log4(x − 1) = log2(x − 3) is ​.
    Mathematics · Logarithm · Numerical
  39. Q39.The sum of 162th power of the roots of the equation x3 − 2x2 + 2x − 1 = 0 is ​.
    Mathematics · Quadratic Equation and Inequalities · Numerical
  40. Q40.The area bounded by the lines y = || x − 1 |− 2 | is ​.
    Mathematics · Area Under the Curves · Numerical
  41. Q41.The difference between degree and order of a differential equation that represents the family of curves given by y2=a(x+2a​​), a > 0 is ​.
    Mathematics · Differential Equations · Numerical
  42. Q42.If y = y(x) is the solution of the equation esinycosydxdy​+esinycosx=cosx, y(0) = 0; then 1+y(6π​)+23​​y(3π​)+2​1​y(4π​)…
    Mathematics · Differential Equations · Numerical
  43. Q43.The number of integral values of 'k' for which the equation 3sinx+4cosx=k+1 has a solution, k ∈ R is ​.
    Mathematics · Trigonometric Ratio and Identites · Numerical
  44. Q44.Consider the combination of 2 capacitors C1 and C2 with C2 > C1, when connected in parallel, the equivalent capacitance is 415​ times the equivalent capacitance of the same connected in series. Calculate the ratio of…
    Physics · Capacitor · MCQ
  45. Q45.An alternating current is given by the equation i = i1 sin ω t + i2 cos ω t. The rms current will be :
    Physics · Alternating Current · MCQ
  46. Q46.Four identical solid spheres each of mass 'm' and radius 'a' are placed with their centres on the four corners of a square of side 'b'. The moment of inertia of the system about one side of square where the axis of rotation is parallel to…
    Physics · Rotational Motion · MCQ
  47. Q47.A large number of water drops, each of radius r, combine to have a drop of radius R. If the surface tension is T and mechanical equivalent of heat is J, the rise in heat energy per unit volume will be :
    Physics · Properties of Matter · MCQ
  48. Q48.LED is constructed from Ga-As-P semiconducting material. The energy gap of this LED is 1.9 eV. Calculate the wavelength of light emitted and its colour. [h = 6.63 × 10 − 34 Js and c = 3 × 108 ms − 1]
    Physics · Electronic Devices · MCQ
  49. Q49.A short straight object of height 100 cm lies before the central axis of a spherical mirror whose focal length has absolute value | f | = 40 cm. The image of object produced by the mirror is of height 25 cm and has the same orientation of…
    Physics · Geometrical Optics · MCQ
  50. Q50.In a Young's double slit experiment two slits are separated by 2 mm and the screen is placed one meter away. When a light of wavelength 500 nm is used, the fringe separation will be :
    Physics · Wave Optics · MCQ
  51. Q51.Assume that a tunnel is dug along a chord of the earth, at a perpendicular distance (R/2) from the earth's centre, where 'R' is the radius of the Earth. The wall of the tunnel is frictionless. If a particle is released in this tunnel, it…
    Physics · Simple Harmonic Motion · MCQ
  52. Q52.In a typical combustion engine the workdone by a gas molecule is given by W=α2βekT−βx2​, where x is the displacement, k is the Boltzmann constant and T is the temperature. If α and β…
    Physics · Units and Measurements · MCQ
  53. Q53.If two similar springs each of spring constant K1 are joined in series, the new spring constant and time period would be changed by a factor :
    Physics · Simple Harmonic Motion · MCQ
  54. Q54.A particle is moving with uniform speed along the circumference of a circle of radius R under the action of a central fictitious force F which is inversely proportional to R3. Its time period of revolution will be given by :
    Physics · Circular Motion · MCQ
  55. Q55.The temperature θ at the junction of two insulating sheets, having thermal resistances R1 and R2 as well as top and bottom temperatures θ 1 and θ 2 (as shown in figure) is given by : Includes diagram
    Physics · Heat and Thermodynamics · MCQ
  56. Q56.Find the electric field at point P (as shown in figure) on the perpendicular bisector of a uniformly charged thin wire of length L carrying a charge Q. The distance of the point P from the centre of the rod is a = 23​​L. Includes diagram
    Physics · Electrostatics · MCQ
  57. Q57.A planet revolving in elliptical orbit has : A. a constant velocity of revolution. B. has the least velocity when it is nearest to the sun. C. its areal velocity is directly proportional to its velocity. D. areal velocity is inversely…
    Physics · Gravitation · MCQ
  58. Q58.Given below are two statements : one is labeled as Assertion A and the other is labelled as Reason R. Assertion A : An electron microscope can achieve better resolving power than an optical microscope. Reason R : The de Broglie's…
    Physics · Dual Nature of Radiation · MCQ
  59. Q59.Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : Body 'P' having mass M moving with speed 'u' has head-on collision elastically with another body 'Q' having mass 'm'…
    Physics · Center of Mass · MCQ
  60. Q60.The normal density of a material is ρ and its bulk modulus of elasticity is K. The magnitude of increase in density of material, when a pressure P is applied uniformly on all sides, will be :
    Physics · Properties of Matter · MCQ
  61. Q61.If λ 1 and λ 2 are the wavelengths of the third member of Lyman and first member of the Paschen series respectively, then the value of λ 1 : λ 2 is :
    Physics · Atoms and Nuclei · MCQ
  62. Q62.Find the gravitational force of attraction between the ring and sphere as shown in the diagram, where the plane of the ring is perpendicular to the line joining the centres. If 8​ R is the distance between the centres of a ring (of… Includes diagram
    Physics · Gravitation · MCQ
  63. Q63.Five equal resistances are connected in a network as shown in figure. The net resistance between the points A and B is : Includes diagram
    Physics · Current Electricity · MCQ
  64. Q64.A person standing on a spring balance inside a stationary lift measures 60 kg. The weight of that person if the lift descends with uniform downward acceleration of 1.8 m/s2 will be ​ N. [g = 10 m/s2]
    Physics · Laws of Motion · Numerical
  65. Q65.The circuit contains two diodes each with a forward resistance of 50 Ω and with infinite reverse resistance. If the battery voltage is 6V, the current through the 120 Ω resistance is ​ mA. Includes diagram
    Physics · Electronic Devices · Numerical
  66. Q66.In a series LCR resonant circuit, the quality factor is measured as 100. If the inductance is increased by two fold and resistance is decreased by two fold, then the quality factor after this change will be ​.
    Physics · Alternating Current · Numerical
  67. Q67.The mass per unit length of a uniform wire is 0.135 g/cm. A transverse wave of the form y = − 0.21 sin (x + 30t) is produced in it, where x is in meter and t is in second. Then, the expected value of tension in the wire is x × 10 −…
    Physics · Waves · Numerical
  68. Q68.In an electrical circuit, a battery is connected to pass 20C of charge through it in a certain given time. The potential difference between two plates of the battery is maintained at 15V. The workdone by the battery is ​…
    Physics · Current Electricity · Numerical
  69. Q69.A boy pushes a box of mass 2 kg with a force F=(20i+10j​)N on a frictionless surface. If the box was initially at rest, then ​ m is displacement along the…
    Physics · Laws of Motion · Numerical
  70. Q70.A radiation is emitted by 1000W bulb and it generates an electric field and magnetic field at P, placed at a distance of 2m. The efficiency of the bulb is 1.25%. The value of peak electric field at P is x × 10 − 1 V/m. Value of x…
    Physics · Electromagnetic Waves · Numerical
  71. Q71.A container is divided into two chambers by a partition. The volume of first chamber is 4.5 litre and second chamber is 5.5 litre. The first chamber contain 3.0 moles of gas at pressure 2.0 atm and second chamber contain 4.0 moles of gas…
    Physics · Heat and Thermodynamics · Numerical
  72. Q72.As shown in the figure, a block of mass 3​ kg is kept on a horizontal rough surface of coefficient of friction 33​1​. The critical force to be applied on the vertical surface as shown at an angle 60 ∘ with… Includes diagram
    Physics · Laws of Motion · Numerical