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2021 · 24 Feb · Shift 1

71 questions · JEE Main
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  4. /2021 · 24 Feb · Shift 1

2021 · 24 Feb · Shift 1

71 questions · JEE Main

Chemistry22 questionsMathematics22 questionsPhysics27 questions
ElectrochemistryChemistry · 1 questionsAldehydes Ketones and Carboxylic AcidsChemistry · 1 questionsChemical Bonding and Molecular StructureChemistry · 1 questionsPeriodic Table and PeriodicityChemistry · 2 questionsBiomoleculesChemistry · 1 questionsAlcohols Phenols and EthersChemistry · 2 questionsD and F Block ElementsChemistry · 1 questionsCompounds Containing NitrogenChemistry · 2 questionsHaloalkanes and HaloarenesChemistry · 2 questionsHydrocarbonsChemistry · 1 questionsChemical EquilibriumChemistry · 3 questionsStructure of AtomChemistry · 1 questionsSolutionsChemistry · 1 questionsSome Basic Concepts of ChemistryChemistry · 1 questionsP Block ElementsChemistry · 1 questionsChemical Kinetics and Nuclear ChemistryChemistry · 1 questionsIndefinite IntegralsMathematics · 1 questionsLimits Continuity and DifferentiabilityMathematics · 2 questionsDifferential EquationsMathematics · 1 questionsFunctionsMathematics · 1 questionsApplication of DerivativesMathematics · 2 questionsDefinite IntegrationMathematics · 2 questionsPermutations and CombinationsMathematics · 1 questionsStraight Lines and Pair of Straight LinesMathematics · 1 questionsQuadratic Equation and InequalitiesMathematics · 1 questionsArea Under the CurvesMathematics · 1 questionsTrigonometric Ratio and IdentitesMathematics · 1 questionsParabolaMathematics · 1 questionsMatrices and DeterminantsMathematics · 3 questionsComplex NumbersMathematics · 1 questionsSets and RelationsMathematics · 1 questionsCircleMathematics · 1 questionsProbabilityMathematics · 1 questionsElectrostaticsPhysics · 1 questionsSimple Harmonic MotionPhysics · 1 questionsCurrent ElectricityPhysics · 2 questionsHeat and ThermodynamicsPhysics · 3 questionsGeometrical OpticsPhysics · 1 questionsWave OpticsPhysics · 2 questionsGravitationPhysics · 3 questionsProperties of MatterPhysics · 2 questionsMotion in A Straight LinePhysics · 1 questionsAtoms and NucleiPhysics · 1 questionsUnits and MeasurementsPhysics · 1 questionsCapacitorPhysics · 1 questionsRotational MotionPhysics · 1 questionsCenter of MassPhysics · 1 questionsElectromagnetic WavesPhysics · 1 questionsLaws of MotionPhysics · 2 questionsAlternating CurrentPhysics · 1 questionsElectronic DevicesPhysics · 1 questionsDual Nature of RadiationPhysics · 1 questions
  1. Q1.The electrode potential of M2+/M of 3d-series elements shows positive value for :
    Chemistry · Electrochemistry · MCQ
  2. Q2.Which of the following reagent is used for the following reaction ? CH3​CH2​CH3​⟶?​CH3​CH2​CHO
    Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
  3. Q3.Which of the following are isostructural pairs ? A. SO42−​ and CrO42−​ B. SiCl4​, and TiCl4​ C. NH3​ and NO3−​ D. BCl3​ and BrCl3​
    Chemistry · Chemical Bonding and Molecular Structure · MCQ
  4. Q4.Consider the elements Mg, Al, S, P and Si, the correct increasing order of their first ionization enthalpy is :
    Chemistry · Periodic Table and Periodicity · MCQ
  5. Q5.Out of the following, which type of interaction is reponsible for the stabilisation of α-helix structure of proteins ?
    Chemistry · Biomolecules · MCQ
  6. Q6.Which of the following compound gives pink colour on reaction with phthalic anhydride in conc. H2​SO4​ followed by treatment with NaOH ?
    Chemistry · Alcohols Phenols and Ethers · MCQ
  7. Q7.Given below are two statements : Statement I : Colourless cupric metaborate is reduced to cuprous metaborate in a luminous flame. Statement II : Cuprous metaborate is obtained by heating boric anhydride and copper sulphate in a…
    Chemistry · D and F Block Elements · MCQ
  8. Q8.In the following reaction the reason why meta-nitro product also formed is : Includes diagram
    Chemistry · Compounds Containing Nitrogen · MCQ
  9. Q9.What is the major product formed by HI on reaction with Includes diagram
    Chemistry · Haloalkanes and Haloarenes · MCQ
  10. Q10.'A' and 'B' in the following reactions are : Includes diagram
    Chemistry · Compounds Containing Nitrogen · MCQ
  11. Q11.Identify products A and B. Includes diagram
    Chemistry · Hydrocarbons · MCQ
  12. Q12.What is the final product (major) 'A' in the given reaction ? Includes diagram
    Chemistry · Alcohols Phenols and Ethers · MCQ
  13. Q13.The product formed in the first step of the reaction of with excess Mg/Et2​O (Et=C2​H5​) is Includes diagram
    Chemistry · Haloalkanes and Haloarenes · MCQ
  14. Q14.Number of amphoteric compounds among the following is ​. (A) BeO (B) BaO (C) Be(OH)2​ (D) Sr(OH)2​
    Chemistry · Periodic Table and Periodicity · Numerical
  15. Q15.The stepwise formation of [Cu(NH3​)4​]2+ is given below: The value of stability constants K1, K2, K3 and K4 are 104, 1.58 x 103, 5 x 102 and 102 respectively. The overall equilibrium constants… Includes diagram
    Chemistry · Chemical Equilibrium · Numerical
  16. Q16.A proton and a Li3+ nucleus are accelerated by the same potential. If λLi​ and λp​ denote the de Broglie wavelengths of Li3+ and proton respectively, then the value of ${{{\lambda _{Li}}} \over {{\lambda…
    Chemistry · Structure of Atom · Numerical
  17. Q17.At 1990 K and 1 atm pressure, there are equal number of Cl2​, molecules and Cl atoms in the reaction mixture. The value of Kp for the reaction Cl2​ (g) ⇌ 2Cl(g) under the above conditions is x × 10-1.…
    Chemistry · Chemical Equilibrium · Numerical
  18. Q18.When 9.45 g of CICH2​COOH is added to 500 mL of water, its freezing point drops by 0.5°C. The dissociation constant of CICH2​COOH is x × 10-3. The value of x is ​. (Rounded off to the nearest integer)…
    Chemistry · Solutions · Numerical
  19. Q19.4.5 g of compound A (MW = 90) was used to make 250 mL of its aqueous solution. The molarity of the solution in M is x × 10-1. The value of x is ​. (Rounded off to the nearest integer)
    Chemistry · Some Basic Concepts of Chemistry · Numerical
  20. Q20.The reaction of sulphur in alkaline medium is given below: The values of 'a' is ​. (Integer answer) Includes diagram
    Chemistry · P Block Elements · Numerical
  21. Q21.For the reaction A(g) → B(g) the value of the equilibrium constant at 300 K and 1 atm is equal to 100.0. The value of Δ rG for the reaction at 300 K and 1 atm in J mol-1 is – xR, where x is ​. (Rounded…
    Chemistry · Chemical Equilibrium · Numerical
  22. Q22.Gaseous cyclobutene isomerises to butadiene in a first order process which has a 'k' value of 3.3 × 10-4 s-1 at 153°C. The time in minutes it takes for the isomerization to proceed 40% to completion at this temperature is ​…
    Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
  23. Q23.If ∫8−sin2x​cosx−sinx​dx=asin−1(bsinx+cosx​)+c, where c is a constant of integration, then the ordered pair (a, b) is equal to :
    Mathematics · Indefinite Integrals · MCQ
  24. Q24.If f : R → R is a function defined by f(x)= [x - 1] cos(22x−1​)π, where [.] denotes the greatest integer function, then f is :
    Mathematics · Limits Continuity and Differentiability · MCQ
  25. Q25.The population P = P(t) at time 't' of a certain species follows the differential equation dtdP​ = 0.5P – 450. If P(0) = 850, then the time at which population becomes zero is :
    Mathematics · Differential Equations · MCQ
  26. Q26.Let f : R → R be defined as f (x) = 2x – 1 and g : R - {1} → R be defined as g(x) = x−1x−21​​. Then the composition function f(g(x)) is :
    Mathematics · Functions · MCQ
  27. Q27.The function f(x) = 64x3−3x2​−2sinx+(2x−1)cosx :
    Mathematics · Application of Derivatives · MCQ
  28. Q28.x→0lim​x30∫x2​(sint​)dt​ is equal to :
    Mathematics · Definite Integration · MCQ
  29. Q29.A scientific committee is to be formed from 6 Indians and 8 foreigners, which includes at least 2 Indians and double the number of foreigners as Indians. Then the number of ways, the committee can be formed, is :
    Mathematics · Permutations and Combinations · MCQ
  30. Q30.A man is walking on a straight line. The arithmetic mean of the reciprocals of the intercepts of this line on the coordinate axes is 41​. Three stones A, B and C are placed at the points (1, 1), (2, 2) and (4, 4) respectively.…
    Mathematics · Straight Lines and Pair of Straight Lines · MCQ
  31. Q31.Let p and q be two positive numbers such that p + q = 2 and p4+q4 = 272. Then p and q are roots of the equation :
    Mathematics · Quadratic Equation and Inequalities · MCQ
  32. Q32.The area (in sq. units) of the part of the circle x2 + y2 = 36, which is outside the parabola y2 = 9x, is :
    Mathematics · Area Under the Curves · MCQ
  33. Q33.If e(cos2x+cos4x+cos6x+...∞)loge​2 satisfies the equation t2 - 9t + 8 = 0, then the value of sinx+3​cosx2sinx​(0<x<2π​)…
    Mathematics · Trigonometric Ratio and Identites · MCQ
  34. Q34.The locus of the mid-point of the line segment joining the focus of the parabola y2 = 4ax to a moving point of the parabola, is another parabola whose directrix is :
    Mathematics · Parabola · MCQ
  35. Q35.The system of linear equations 3x - 2y - kz = 10 2x - 4y - 2z = 6 x+2y - z = 5m is inconsistent if :
    Mathematics · Matrices and Determinants · MCQ
  36. Q36.Let P = ​323​−10−5​−2α0​​, where α∈ R. Suppose Q = [ qij] is a matrix satisfying PQ = kl3 for some non-zero k…
    Mathematics · Matrices and Determinants · Numerical
  37. Q37.The minimum value of α for which the equation sinx4​+1−sinx1​=α has at least one solution in (0,2π​) is .......
    Mathematics · Application of Derivatives · Numerical
  38. Q38.If the least and the largest real values of a, for which the equation z + α|z – 1| + 2i = 0 (z ∈ C and i = −1​) has a solution, are p and q respectively; then 4(p2 + q2) is equal to ​.
    Mathematics · Complex Numbers · Numerical
  39. Q39.n→∞lim​tan{r=1∑n​tan−1(1+r+r21​)} is equal to ​.
    Mathematics · Limits Continuity and Differentiability · Numerical
  40. Q40.Let A = {n ∈ N: n is a 3-digit number} B = {9k + 2: k ∈ N} and C = {9k + l: k ∈ N} for some l(0<l<9) If the sum of all the elements of the set A ∩(B ∪ C) is 274 × 400, then l is equal to ​…
    Mathematics · Sets and Relations · Numerical
  41. Q41.If one of the diameters of the circle x2 + y2 - 2x - 6y + 6 = 0 is a chord of another circle 'C', whose center is at (2, 1), then its radius is ​.
    Mathematics · Circle · Numerical
  42. Q42.If −a∫a​(∣x∣+∣x−2∣)dx=22, (a > 2) and [x] denotes the greatest integer ≤ x, then −a∫a​(x+[x])dx is equal to…
    Mathematics · Definite Integration · Numerical
  43. Q43.Let M be any 3 × 3 matrix with entries from the set {0, 1, 2}. The maximum number of such matrices, for which the sum of diagonal elements of MTM is seven, is ​.
    Mathematics · Matrices and Determinants · Numerical
  44. Q44.Let Bi (i = 1, 2, 3) be three independent events in a sample space. The probability that only B1 occur is α, only B2 occurs is β and only B3 occurs is γ. Let p be the probability that none of the events Bi occurs and…
    Mathematics · Probability · Numerical
  45. Q45.A cube of side 'a' has point charges +Q located at each of its vertices except at the origin where the charge is − Q. The electric field at the centre of cube is : Includes diagram
    Physics · Electrostatics · MCQ
  46. Q46.In the given figure, a mass M is attached to a horizontal spring which is fixed on one side to a rigid support. The spring constant of the spring is k. The mass oscillates on a frictionless surface with time period T and amplitude A. When… Includes diagram
    Physics · Simple Harmonic Motion · MCQ
  47. Q47.A current through a wire depends on time as i = α 0t + β t2 where α 0 = 20 A/s and β = 8 As − 2. Find the charge crossed through a section of the wire in 15 s.
    Physics · Current Electricity · MCQ
  48. Q48.Match List I with List II. Choose the correct answer from the options given below : Includes table
    Physics · Heat and Thermodynamics · MCQ
  49. Q49.n mole of a perfect gas undergoes a cyclic process ABCA (see figure) consisting of the following processes. A → B : Isothermal expansion at temperature T so that the volume is doubled from V1 to V2 = 2V1 and pressure charges from P1 to… Includes diagram
    Physics · Heat and Thermodynamics · MCQ
  50. Q50.Each side of a box made of metal sheet in cubic shape is 'a' at room temperature 'T', the coefficient of linear expansion of the metal sheet is 'α'. The metal sheet is heated uniformly, by a small temperature Δ T, so that its…
    Physics · Heat and Thermodynamics · MCQ
  51. Q51.A cell E1 of emf 6V and internal resistance 2 Ω is connected with another cell E2 of emf 4V and internal resistance 8 Ω (as shown in the figure). The potential difference across points X and Y is : Includes diagram
    Physics · Current Electricity · MCQ
  52. Q52.The focal length f is related to the radius of curvature r of the spherical convex mirror by :
    Physics · Geometrical Optics · MCQ
  53. Q53.In a Young's double slit experiment, the width of the one of the slit is three times the other slit. The amplitude of the light coming from a slit is proportional to the slit-width. Find the ratio of the maximum to the minimum intensity in…
    Physics · Wave Optics · MCQ
  54. Q54.Four identical particles of equal masses 1 kg made to move along the circumference of a circle of radius 1 m under the action of their own mutual gravitational attraction. The speed of each particle will be :
    Physics · Gravitation · MCQ
  55. Q55.Consider two satellites S1 and S2 with periods of revolution 1 hr. and 8 hr. respectively revolving around a planet in circular orbits. The ratio of angular velocity of satellite S1 to the angular velocity of satellite S2 is :
    Physics · Gravitation · MCQ
  56. Q56.If Y, K and η are the values of Young's modulus, bulk modulus and modulus of rigidity of any material respectively. Choose the correct relation for these parameters.
    Physics · Properties of Matter · MCQ
  57. Q57.If the velocity-time graph has the shape AMB, what would be the shape of the corresponding acceleration-time graph? Includes diagram
    Physics · Motion in A Straight Line · MCQ
  58. Q58.In the given figure, the energy levels of hydrogen atom have been shown along with some transitions marked A, B, C, D and E. The transitions A, B and C respectively represent : Includes diagram
    Physics · Atoms and Nuclei · MCQ
  59. Q59.The work done by a gas molecule in an isolated system is given by, W=αβ2e−αkTx2​, where x is the displacement, k is the Boltzmann constant and T is the temperature. α and β are…
    Physics · Units and Measurements · MCQ
  60. Q60.Two stars of masses m and 2m at a distance d rotate about their common centre of mass in free space. The period of revolution is :
    Physics · Gravitation · MCQ
  61. Q61.Two equal capacitors are first connected in series and then in parallel. The ratio of the equivalent capacities in the two cases will be :
    Physics · Capacitor · MCQ
  62. Q62.Moment of inertia (M. I.) of four bodies, having same mass and radius, are reported as; I1 = M.I. of thin circular ring about its diameter, I2 = M.I. of circular disc about an axis perpendicular to disc and going through the centre, I3 =…
    Physics · Rotational Motion · MCQ
  63. Q63.An unpolarised light beam is incident on the polarizer of a polarization experiment and the intensity of light beam emerging from the analyzer is measured as 100 Lumens. Now, if the analyzer is rotated around the horizontal axis (direction…
    Physics · Wave Optics · Numerical
  64. Q64.A ball with a speed of 9 m/s collides with another identical ball at rest. After the collision, the direction of each ball makes an angle of 30 ∘ with the original direction. The ratio of velocities of the balls after collision is x…
    Physics · Center of Mass · Numerical
  65. Q65.An electromagnetic wave of frequency 5 GHz, is travelling in a medium whose relative electric permittivity and relative magnetic permeability both are 2. Its velocity in this medium is ​× 107 m/s.
    Physics · Electromagnetic Waves · Numerical
  66. Q66.A hydraulic press can lift 100 kg when a mass 'm' is placed on the smaller piston. It can lift ​ kg when the diameter of the larger piston is increased by 4 times and that of the smaller piston is decreased by 4…
    Physics · Properties of Matter · Numerical
  67. Q67.An inclined plane is bent in such a way that the vertical cross-section is given by y=4x2​ where y is in vertical and x in horizontal direction. If the upper surface of this curved plane is rough with coefficient of…
    Physics · Laws of Motion · Numerical
  68. Q68.A common transistor radio set requires 12 V (D.C.) for its operation. The D.C. source is constructed by using a transformer and a rectifier circuit, which are operated at 220 V (A.C.) on standard domestic A.C. supply. The number of turns…
    Physics · Alternating Current · Numerical
  69. Q69.The coefficient of static friction between a wooden block of mass 0.5 kg and a vertical rough wall is 0.2. The magnitude of horizontal force that should be applied on the block to keep it adhere to the wall will be ​…
    Physics · Laws of Motion · Numerical
  70. Q70.In connection with the circuit drawn below, the value of current flowing through 2 k Ω resistor is ​× 10 − 4 A. Includes diagram
    Physics · Electronic Devices · Numerical
  71. Q71.Given below are two statements : Statement I : Two photons having equal linear momenta have equal wavelengths. Statement II : If the wavelength of photon is decreased, then the momentum and energy of a photon will also decrease. In the…
    Physics · Dual Nature of Radiation · MCQ