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2024 · 5 Apr · Shift 1

90 questions · JEE Main
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  4. /2024 · 5 Apr · Shift 1

2024 · 5 Apr · Shift 1

90 questions · JEE Main

Chemistry30 questionsMathematics30 questionsPhysics30 questions
Basics of Organic ChemistryChemistry · 1 questionsAlcohols Phenols and EthersChemistry · 3 questionsStructure of AtomChemistry · 2 questionsHydrocarbonsChemistry · 1 questionsBiomoleculesChemistry · 1 questionsThermodynamicsChemistry · 2 questionsPeriodic Table and PeriodicityChemistry · 2 questionsD and F Block ElementsChemistry · 2 questionsChemical Bonding and Molecular StructureChemistry · 2 questionsSome Basic Concepts of ChemistryChemistry · 1 questionsCoordination CompoundsChemistry · 3 questionsP Block ElementsChemistry · 1 questionsElectrochemistryChemistry · 2 questionsAldehydes Ketones and Carboxylic AcidsChemistry · 1 questionsChemical EquilibriumChemistry · 1 questionsCompounds Containing NitrogenChemistry · 2 questionsHaloalkanes and HaloarenesChemistry · 1 questionsSolutionsChemistry · 1 questionsChemical Kinetics and Nuclear ChemistryChemistry · 1 questionsApplication of DerivativesMathematics · 3 questionsFunctionsMathematics · 2 questionsStraight Lines and Pair of Straight LinesMathematics · 1 questions3D GeometryMathematics · 2 questionsComplex NumbersMathematics · 1 questionsMatrices and DeterminantsMathematics · 2 questionsCircleMathematics · 1 questionsProbabilityMathematics · 2 questionsDefinite IntegrationMathematics · 2 questionsSequences and SeriesMathematics · 2 questionsLimits Continuity and DifferentiabilityMathematics · 2 questionsEllipseMathematics · 1 questionsTrigonometric Ratio and IdentitesMathematics · 1 questionsVector AlgebraMathematics · 2 questionsDifferential EquationsMathematics · 1 questionsArea Under the CurvesMathematics · 1 questionsParabolaMathematics · 1 questionsPermutations and CombinationsMathematics · 1 questionsBinomial TheoremMathematics · 1 questionsQuadratic Equation and InequalitiesMathematics · 1 questionsWork Power and EnergyPhysics · 1 questionsGravitationPhysics · 2 questionsAlternating CurrentPhysics · 2 questionsRotational MotionPhysics · 1 questionsElectrostaticsPhysics · 1 questionsSimple Harmonic MotionPhysics · 1 questionsHeat and ThermodynamicsPhysics · 2 questionsCurrent ElectricityPhysics · 2 questionsElectromagnetic InductionPhysics · 1 questionsDual Nature of RadiationPhysics · 1 questionsElectronic DevicesPhysics · 1 questionsProperties of MatterPhysics · 2 questionsWave OpticsPhysics · 2 questionsAtoms and NucleiPhysics · 2 questionsUnits and MeasurementsPhysics · 1 questionsVector AlgebraPhysics · 1 questionsMagneticsPhysics · 2 questionsLaws of MotionPhysics · 2 questionsCapacitorPhysics · 2 questionsMotion in A Straight LinePhysics · 1 questions
  1. Q1.Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Cis form of alkene is found to be more polar than the trans form. Reason (R) : Dipole moment of trans isomer of…
    Chemistry · Basics of Organic Chemistry · MCQ
  2. Q2.Given below are two statement : Statements I : Bromination of phenol in solvent with low polarity such as CHCl3​ or CS2​ requires Lewis acid catalyst. Statements II : The Lewis acid catalyst polarises the bromine to…
    Chemistry · Alcohols Phenols and Ethers · MCQ
  3. Q3.The incorrect postulates of the Dalton's atomic theory are : (A) Atoms of different elements differ in mass. (B) Matter consists of divisible atoms. (C) Compounds are formed when atoms of different element combine in a fixed ratio. (D) All…
    Chemistry · Structure of Atom · MCQ
  4. Q4.Given below are two statements : Statement I : Nitration of benzene involves the following step - Statement II : Use of Lewis base promotes the electrophilic substitution of benzene. In the light of the above statements, choose the most… Includes diagram
    Chemistry · Hydrocarbons · MCQ
  5. Q5.Which of the following gives a positive test with ninhydrin ?
    Chemistry · Biomolecules · MCQ
  6. Q6.Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R) Assertion (A) : Enthalpy of neutralisation of strong monobasic acid with strong monoacidic base is always −57 kJ mol−1…
    Chemistry · Thermodynamics · MCQ
  7. Q7.Given below are two statements: Statement I: In group 13, the stability of +1 oxidation state increases down the group. Statement II : The atomic size of gallium is greater than that of aluminium. In the light of the above statements,…
    Chemistry · Periodic Table and Periodicity · MCQ
  8. Q8.The metal that shows highest and maximum number of oxidation state is :
    Chemistry · D and F Block Elements · MCQ
  9. Q9.Number of σ and π bonds present in ethylene molecule is respectively :
    Chemistry · Chemical Bonding and Molecular Structure · MCQ
  10. Q10.An organic compound has 42.1% carbon, 6.4% hydrogen and remainder is oxygen. If its molecular weight is 342 , then its molecular formula is :
    Chemistry · Some Basic Concepts of Chemistry · MCQ
  11. Q11.For the Compounds : (A) H3​C−CH2​−O−CH2​−CH2​−CH3​(B) H3​C−CH2​−CH2​−CH2​−CH3​ (C) (D) The increasing order of… Includes diagram
    Chemistry · Alcohols Phenols and Ethers · MCQ
  12. Q12.The correct order of ligands arranged in increasing field strength.
    Chemistry · Coordination Compounds · MCQ
  13. Q13.The number of neutrons present in the more abundant isotope of boron is 'x'. Amorphous boron upon heating with air forms a product, in which the oxidation state of boron is 'y'. The value of x+y is ​ .
    Chemistry · P Block Elements · MCQ
  14. Q14.Which one of the following complexes will exhibit the least paramagnetic behaviour ? [Atomic number, Cr=24,Mn=25,Fe=26,Co=27]
    Chemistry · Coordination Compounds · MCQ
  15. Q15.Molar ionic conductivities of divalent cation and anion are 57 S cm2 mol−1 and 73 S cm2 mol−1 respectively. The molar conductivity of solution of an electrolyte with the above cation and…
    Chemistry · Electrochemistry · MCQ
  16. Q16.Identify 'A' in the following reaction : Includes diagram
    Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
  17. Q17.The statement(s) that are correct about the species O2−,F−,Na+ and Mg2+. (A) All are isoelectronic (B) All have the same nuclear charge (C) O2− has the largest ionic radii…
    Chemistry · Periodic Table and Periodicity · MCQ
  18. Q18.The reaction at cathode in the cells commonly used in clocks involves.
    Chemistry · Electrochemistry · MCQ
  19. Q19.The following reaction occurs in the Blast furnance where iron ore is reduced to iron metal Fe2​O3(s)​+3CO(g)​⇌Fe(l)​+3CO2(g)​ Using the Le-chatelier's…
    Chemistry · Chemical Equilibrium · MCQ
  20. Q20.Identify compound (Z) in the following reaction sequence. Includes diagram
    Chemistry · Compounds Containing Nitrogen · MCQ
  21. Q21.The spin-only magnetic moment value of the ion among Ti2+,V2+,Co3+ and Cr2+, that acts as strong oxidising agent in aqueous solution is ​ BM (Near integer).…
    Chemistry · Coordination Compounds · Numerical
  22. Q22.The heat of combustion of solid benzoic acid at constant volume is −321.30 kJ at 27∘C. The heat of combustion at constant pressure is (−321.30−xR) kJ, the value of x is ​…
    Chemistry · Thermodynamics · Numerical
  23. Q23.In a borax bead test under hot condition, a metal salt (one from the given) is heated at point B of the flame, resulted in green colour salt bead. The spin-only magnetic moment value of the salt is ​ BM (Nearest… Includes diagram
    Chemistry · D and F Block Elements · Numerical
  24. Q24.The number of halobenzenes from the following that can be prepared by Sandmeyer's reaction is ​ Includes diagram
    Chemistry · Haloalkanes and Haloarenes · Numerical
  25. Q25.An artificial cell is made by encapsulating 0.2 M glucose solution within a semipermeable membrane. The osmotic pressure developed when the artificial cell is placed within a 0.05 M solution of NaCl at 300 K…
    Chemistry · Solutions · Numerical
  26. Q26.In the lewis dot structure for NO2−​, total number of valence electrons around nitrogen is ​.
    Chemistry · Chemical Bonding and Molecular Structure · Numerical
  27. Q27.The value of Rydberg constant (RH​) is 2.18×10−18 J. The velocity of electron having mass 9.1×10−31 kg in Bohr's first orbit of hydrogen atom = ​×105 ms−1…
    Chemistry · Structure of Atom · Numerical
  28. Q28.9.3 g of pure aniline is treated with bromine water at room temperature to give a white precipitate of the product 'P'. The mass of product 'P' obtained is 26.4 g. The percentage yield is ​…
    Chemistry · Compounds Containing Nitrogen · Numerical
  29. Q29.Consider the given chemical reaction sequence : Total sum of oxygen atoms in Product A and Product B are ​. Includes diagram
    Chemistry · Alcohols Phenols and Ethers · Numerical
  30. Q30.During Kinetic study of reaction 2A+B→C+D, the following results were obtained : Based on above data, overall order of the reaction is ​. Includes table
    Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
  31. Q31.Let a rectangle ABCD of sides 2 and 4 be inscribed in another rectangle PQRS such that the vertices of the rectangle ABCD lie on the sides of the rectangle PQRS. Let a and b be the sides of the rectangle PQRS when its area is maximum. Then…
    Mathematics · Application of Derivatives · MCQ
  32. Q32.Let A={1,3,7,9,11} and B={2,4,5,7,8,10,12}. Then the total number of one-one maps f:A→B, such that f(1)+f(3)=14, is :
    Mathematics · Functions · MCQ
  33. Q33.Let two straight lines drawn from the origin O intersect the line 3x+4y=12 at the points P and Q such that △OPQ is an isosceles triangle and ∠POQ=90∘. If l=OP2+PQ2+QO2…
    Mathematics · Straight Lines and Pair of Straight Lines · MCQ
  34. Q34.If the line 32−x​=4λ+13y−2​=4−z makes a right angle with the line 3μx+3​=61−2y​=75−z​, then 4λ+9μ is equal to :
    Mathematics · 3D Geometry · MCQ
  35. Q35.Consider the following two statements : Statement I: For any two non-zero complex numbers z1​,z2​,(∣z1​∣+∣z2​∣)​∣z1​∣z1​​+∣z2​∣z2​​​≤2(∣z1​∣+∣z2​∣), and …
    Mathematics · Complex Numbers · MCQ
  36. Q36.Let A and B be two square matrices of order 3 such that ∣A∣=3 and ∣B∣=2. Then ∣ATA(adj(2 A))−1(adj(4 B))(adj(AB))−1AAT∣…
    Mathematics · Matrices and Determinants · MCQ
  37. Q37.Let a circle C of radius 1 and closer to the origin be such that the lines passing through the point (3,2) and parallel to the coordinate axes touch it. Then the shortest distance of the circle C from the point (5,5) is :
    Mathematics · Circle · MCQ
  38. Q38.Let f(x)=x5+2x3+3x+1,x∈R, and g(x) be a function such that g(f(x))=x for all x∈R. Then g′(7)g(7)​ is equal to :
    Mathematics · Application of Derivatives · MCQ
  39. Q39.The coefficients a,b,c in the quadratic equation ax2+bx+c=0 are chosen from the set {1,2,3,4,5,6,7,8}. The probability of this equation having repeated roots is :
    Mathematics · Probability · MCQ
  40. Q40.If the system of equations 11x+y+λz=−52x+3y+5z=38x−19y−39z=μ​ has infinitely many solutions, then λ4−μ is equal to :
    Mathematics · Matrices and Determinants · MCQ
  41. Q41.The integral 0∫π/4​3sinx+5cosx136sinx​ dx is equal to :
    Mathematics · Definite Integration · MCQ
  42. Q42.If 1​+2​1​+2​+3​1​+…+99​+100​1​=m and 1⋅21​+2⋅31​+…+99⋅1001​=n, then the point (m,n) lies…
    Mathematics · Sequences and Series · MCQ
  43. Q43.Let d be the distance of the point of intersection of the lines 3x+6​=2y​=1z+1​ and 4x−7​=3y−9​=2z−4​ from the point (7,8,9). Then d2+6 is equal to :
    Mathematics · 3D Geometry · MCQ
  44. Q44.If the function f(x)=x3sin3x+αsinx−βcos3x​,x∈R, is continuous at x=0, then f(0) is equal to :
    Mathematics · Limits Continuity and Differentiability · MCQ
  45. Q45.Let the line 2x+3y−k=0,k>0, intersect the x-axis and y-axis at the points A and B, respectively. If the equation of the circle having the line segment AB as a diameter is x2+y2−3x−2y=0…
    Mathematics · Ellipse · MCQ
  46. Q46.The value of ∫−ππ​1+cos2y2y(1+siny)​dy is :
    Mathematics · Definite Integration · MCQ
  47. Q47.Suppose θ∈[0,4π​] is a solution of 4cosθ−3sinθ=1. Then cosθ is equal to :
    Mathematics · Trigonometric Ratio and Identites · MCQ
  48. Q48.For the function f(x)=sinx+3x−π2​(x2+x), where x∈[0,2π​], consider the following two statements : (I) f is increasing in (0,2π​). (II) f′…
    Mathematics · Application of Derivatives · MCQ
  49. Q49.If A(1,−1,2),B(5,7,−6),C(3,4,−10) and D(−1,−4,−2) are the vertices of a quadrilateral ABCD, then its area is :
    Mathematics · Vector Algebra · MCQ
  50. Q50.If y=y(x) is the solution of the differential equation  dxdy​+2y=sin(2x),y(0)=43​, then y(8π​) is equal to :
    Mathematics · Differential Equations · MCQ
  51. Q51.The area of the region enclosed by the parabolas y=x2−5x and y=7x−x2 is ​.
    Mathematics · Area Under the Curves · Numerical
  52. Q52.From a lot of 10 items, which include 3 defective items, a sample of 5 items is drawn at random. Let the random variable X denote the number of defective items in the sample. If the variance of X is σ2, then 96σ2 is…
    Mathematics · Probability · Numerical
  53. Q53.Suppose AB is a focal chord of the parabola y2=12x of length l and slope m<3​. If the distance of the chord AB from the origin is d, then l d2 is equal to ​…
    Mathematics · Parabola · Numerical
  54. Q54.The number of ways of getting a sum 16 on throwing a dice four times is ​.
    Mathematics · Permutations and Combinations · Numerical
  55. Q55.Let f be a differentiable function in the interval (0,∞) such that f(1)=1 and limt→x​t−xt2f(x)−x2f(t)​=1 for each x>0. Then 2f(2)+3f(3) is equal to ​.
    Mathematics · Limits Continuity and Differentiability · Numerical
  56. Q56.If S={a∈R:∣2a−1∣=3[a]+2{a}}, where [t] denotes the greatest integer less than or equal to t and {t} represents the fractional part of t, then 72∑a∈S​a is equal to ​.
    Mathematics · Functions · Numerical
  57. Q57.Let a1​,a2​,a3​,… be in an arithmetic progression of positive terms. Let Ak​=a12​−a22​+a32​−a42​+…+a2k−12​−a2k2​. If A3​=−153, A5​=−435 and a12​+a22​+a32​=66…
    Mathematics · Sequences and Series · Numerical
  58. Q58.Let a=i^−3j^​+7k^,b=2i^−j^​+k^ and c be a vector such that (a+2b)×c=3(c×a)…
    Mathematics · Vector Algebra · Numerical
  59. Q59.If the constant term in the expansion of (1+2x−3x3)(23​x2−3x1​)9 is p, then 108p is equal to ​.
    Mathematics · Binomial Theorem · Numerical
  60. Q60.The number of distinct real roots of the equation ∣x∣∣x+2∣−5∣x+1∣−1=0 is ​.
    Mathematics · Quadratic Equation and Inequalities · Numerical
  61. Q61.A body of mass 50 kg is lifted to a height of 20 m from the ground in the two different ways as shown in the figures. The ratio of work done against the gravity in both the respective cases, will be : Includes diagram
    Physics · Work Power and Energy · MCQ
  62. Q62.If G be the gravitational constant and u be the energy density then which of the following quantity have the dimensions as that of the uG​ :
    Physics · Gravitation · MCQ
  63. Q63.An alternating voltage of amplitude 40 V and frequency 4 kHz is applied directly across the capacitor of 12μF. The maximum displacement current between the plates of the capacitor is nearly :
    Physics · Alternating Current · MCQ
  64. Q64.Ratio of radius of gyration of a hollow sphere to that of a solid cylinder of equal mass, for moment of Inertia about their diameter axis AB as shown in figure is 8/x​. The value of x is : Includes diagram
    Physics · Rotational Motion · MCQ
  65. Q65.In hydrogen like system the ratio of coulombian force and gravitational force between an electron and a proton is in the order of :
    Physics · Electrostatics · MCQ
  66. Q66.A simple pendulum doing small oscillations at a place R height above earth surface has time period of T1​=4 s. T2​ would be it's time period if it is brought to a point which is at a height 2R from…
    Physics · Simple Harmonic Motion · MCQ
  67. Q67.Match List I with List II : (Where a= radius of planet orbit, r= radius of planet, M= mass of Sun, m= mass of planet) Choose the correct answer from the options given below : Includes table
    Physics · Gravitation · MCQ
  68. Q68.The heat absorbed by a system in going through the given cyclic process is : Includes diagram
    Physics · Heat and Thermodynamics · MCQ
  69. Q69.In the given figure R1​=10Ω,R2​=8Ω,R3​=4Ω and R4​=8Ω. Battery is ideal with emf 12 V. Equivalent resistant of the circuit and current supplied by battery are… Includes diagram
    Physics · Current Electricity · MCQ
  70. Q70.Two conducting circular loops A and B are placed in the same plane with their centres coinciding as shown in figure. The mutual inductance between them is: Includes diagram
    Physics · Electromagnetic Induction · MCQ
  71. Q71.If the collision frequency of hydrogen molecules in a closed chamber at 27∘C is Z, then the collision frequency of the same system at 127∘C is :
    Physics · Heat and Thermodynamics · MCQ
  72. Q72.Given below are two statements : Statement I : Figure shows the variation of stopping potential with frequency (v) for the two photosensitive materials M1​ and M2​. The slope gives value of eh​, where h is Planck's… Includes diagram
    Physics · Dual Nature of Radiation · MCQ
  73. Q73.Following gates section is connected in a complete suitable circuit. For which of the following combination, bulb will glow (ON) : Includes diagram
    Physics · Electronic Devices · MCQ
  74. Q74.Given below are two statements : Statement I : When a capillary tube is dipped into a liquid, the liquid neither rises nor falls in the capillary. The contact angle may be 0∘. Statement II : The contact angle between a solid and a…
    Physics · Properties of Matter · MCQ
  75. Q75.Light emerges out of a convex lens when a source of light kept at its focus. The shape of wavefront of the light is :
    Physics · Wave Optics · MCQ
  76. Q76.An electron rotates in a circle around a nucleus having positive charge Ze. Correct relation between total energy (E) of electron to its potential energy (U) is :
    Physics · Atoms and Nuclei · MCQ
  77. Q77.Time periods of oscillation of the same simple pendulum measured using four different measuring clocks were recorded as 4.62 s,4.632 s,4.6 s and 4.64 s. The arithmetic mean of these readings…
    Physics · Units and Measurements · MCQ
  78. Q78.The angle between vector Q​ and the resultant of (2Q​+2P) and (2Q​−2P) is :
    Physics · Vector Algebra · MCQ
  79. Q79.In a co-axial straight cable, the central conductor and the outer conductor carry equal currents in opposite directions. The magnetic field is zero :
    Physics · Magnetics · MCQ
  80. Q80.A wooden block of mass 5 kg rests on a soft horizontal floor. When an iron cylinder of mass 25 kg is placed on the top of the block, the floor yields and the block and the cylinder together go down with an…
    Physics · Laws of Motion · MCQ
  81. Q81.The electric field between the two parallel plates of a capacitor of 1.5μF capacitance drops to one third of its initial value in 6.6μs when the plates are connected by a thin wire. The resistance of this wire…
    Physics · Capacitor · Numerical
  82. Q82.If three helium nuclei combine to form a carbon nucleus then the energy released in this reaction is ​×10−2 MeV. (Given 1u=931 MeV/c2, atomic mass of helium =4.002603u…
    Physics · Atoms and Nuclei · Numerical
  83. Q83.Three blocks M1​,M2​,M3​ having masses 4 kg,6 kg and 10 kg respectively are hanging from a smooth pully using rope 1, 2 and 3 as shown in figure. The tension in the rope 1,T1​… Includes diagram
    Physics · Laws of Motion · Numerical
  84. Q84.Three capacitors of capacitances 25μF,30μF and 45μF are connected in parallel to a supply of 100 V. Energy stored in the above combination is E. When these capacitors are connected in…
    Physics · Capacitor · Numerical
  85. Q85.In the experiment to determine the galvanometer resistance by half-deflection method, the plot of 1/θ vs the resistance (R) of the resistance box is shown in the figure. The figure of merit of the galvanometer is ​… Includes diagram
    Physics · Current Electricity · Numerical
  86. Q86.The density and breaking stress of a wire are 6×104 kg/m3 and 1.2×108 N/m2 respectively. The wire is suspended from a rigid support on a planet where acceleration due to…
    Physics · Properties of Matter · Numerical
  87. Q87.An ac source is connected in given series LCR circuit. The rms potential difference across the capacitor of 20μF is ​ V. Includes diagram
    Physics · Alternating Current · Numerical
  88. Q88.A body moves on a frictionless plane starting from rest. If Sn​ is distance moved between t=n−1 and t=n and Sn−1​ is distance moved between t=n−2 and t=n−1…
    Physics · Motion in A Straight Line · Numerical
  89. Q89.In Young's double slit experiment, carried out with light of wavelength 5000 Ao​, the distance between the slits is 0.3 mm and the screen is at 200 cm from the slits. The central maximum is at x=0 cm…
    Physics · Wave Optics · Numerical
  90. Q90.A 2A current carrying straight metal wire of resistance 1Ω, resistivity 2×10−6Ωm, area of cross-section 10 mm2 and mass 500 g is suspended horizontally in mid air by applying a…
    Physics · Magnetics · Numerical