Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →
Sign in

2024 · 1 Feb · Shift 2

90 questions · JEE Main
Guest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.
  1. PYQ Library
  2. /JEE Main
  3. /Papers
  4. /2024 · 1 Feb · Shift 2

2024 · 1 Feb · Shift 2

90 questions · JEE Main

Chemistry30 questionsMathematics30 questionsPhysics30 questions
HydrocarbonsChemistry · 2 questionsIonic EquilibriumChemistry · 1 questionsP Block ElementsChemistry · 2 questionsBasics of Organic ChemistryChemistry · 4 questionsCoordination CompoundsChemistry · 3 questionsPeriodic Table and PeriodicityChemistry · 2 questionsChemistry in Everyday LifeChemistry · 1 questionsAlcohols Phenols and EthersChemistry · 1 questionsD and F Block ElementsChemistry · 1 questionsStructure of AtomChemistry · 1 questionsAldehydes Ketones and Carboxylic AcidsChemistry · 1 questionsChemical Bonding and Molecular StructureChemistry · 2 questionsBiomoleculesChemistry · 1 questionsSolutionsChemistry · 1 questionsChemical Kinetics and Nuclear ChemistryChemistry · 1 questionsThermodynamicsChemistry · 1 questionsElectrochemistryChemistry · 2 questionsPractical Organic ChemistryChemistry · 1 questionsCompounds Containing NitrogenChemistry · 1 questionsSome Basic Concepts of ChemistryChemistry · 1 questionsFunctionsMathematics · 1 questionsComplex NumbersMathematics · 1 questions3D GeometryMathematics · 3 questionsSets and RelationsMathematics · 1 questionsMatrices and DeterminantsMathematics · 2 questionsDefinite IntegrationMathematics · 3 questionsQuadratic Equation and InequalitiesMathematics · 1 questionsProbabilityMathematics · 1 questionsEllipseMathematics · 1 questionsStatisticsMathematics · 1 questionsLimits Continuity and DifferentiabilityMathematics · 2 questionsTrigonometric Functions and EquationsMathematics · 1 questionsCircleMathematics · 1 questionsDifferential EquationsMathematics · 2 questionsSequences and SeriesMathematics · 2 questionsBinomial TheoremMathematics · 1 questionsArea Under the CurvesMathematics · 2 questionsDifferentiationMathematics · 1 questionsStraight Lines and Pair of Straight LinesMathematics · 2 questionsVector AlgebraMathematics · 1 questionsAtoms and NucleiPhysics · 2 questionsLaws of MotionPhysics · 2 questionsDual Nature of RadiationPhysics · 2 questionsElectrostaticsPhysics · 2 questionsCapacitorPhysics · 2 questionsUnits and MeasurementsPhysics · 1 questionsProperties of MatterPhysics · 2 questionsCurrent ElectricityPhysics · 2 questionsHeat and ThermodynamicsPhysics · 2 questionsMotion in A Straight LinePhysics · 2 questionsGravitationPhysics · 1 questionsWave OpticsPhysics · 2 questionsElectromagnetic WavesPhysics · 1 questionsElectronic DevicesPhysics · 1 questionsElectromagnetic InductionPhysics · 2 questionsRotational MotionPhysics · 2 questionsSimple Harmonic MotionPhysics · 1 questionsMagneticsPhysics · 1 questions
  1. Q1.In the given reactions identify A and B Includes diagram
    Chemistry · Hydrocarbons · MCQ
  2. Q2.Solubility of calcium phosphate (molecular mass, M) in water is Wg​ per 100 mL at 25∘C. Its solubility product at 25∘C will be approximately.
    Chemistry · Ionic Equilibrium · MCQ
  3. Q3.Given below are two statements : Statement (I) : SiO2​ and GeO2​ are acidic while SnO and PbO are amphoteric in nature. Statement (II) : Allotropic forms of carbon are due to property of…
    Chemistry · P Block Elements · MCQ
  4. Q4.The set of meta directing functional groups from the following sets is :
    Chemistry · Basics of Organic Chemistry · MCQ
  5. Q5.[Co(NH3​)6​]3+ and [CoF6​]3− are respectively known as :
    Chemistry · Coordination Compounds · MCQ
  6. Q6.The transition metal having highest 3rd  ionisation enthalpy is :
    Chemistry · Periodic Table and Periodicity · MCQ
  7. Q7.Match List - I with List - II. Choose the correct answer from the options given below : Includes table
    Chemistry · Chemistry in Everyday Life · MCQ
  8. Q8.Match List - I with List - II. Choose the correct answer from the options given below : Includes table
    Chemistry · Alcohols Phenols and Ethers · MCQ
  9. Q9.Given below are two statements : Statement (I) : Dimethyl glyoxime forms a six-membered covalent chelate when treated with NiCl2​ solution in presence of NH4​OH. Statement (II) : Prussian blue precipitate…
    Chemistry · Coordination Compounds · MCQ
  10. Q10.Acid D formed in above reaction is : Includes diagram
    Chemistry · Hydrocarbons · MCQ
  11. Q11.Lassaigne's test is used for detection of :
    Chemistry · Basics of Organic Chemistry · MCQ
  12. Q12.The strongest reducing agent among the following is :
    Chemistry · P Block Elements · MCQ
  13. Q13.Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : In aqueous solutions Cr2+ is reducing while Mn3+ is oxidising in nature. Reason (R) :…
    Chemistry · D and F Block Elements · MCQ
  14. Q14.The functional group that shows negative resonance effect is :
    Chemistry · Basics of Organic Chemistry · MCQ
  15. Q15.The number of radial node/s for 3p orbital is :
    Chemistry · Structure of Atom · MCQ
  16. Q16.Which among the followng has highest boiling point?
    Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
  17. Q17.Given below are two statements : Statement (I) : A π bonding MO has lower electron density above and below the inter-nuclear axis. Statement (II) : The π∗ antibonding MO has a node between the nuclei. In the light of the above…
    Chemistry · Chemical Bonding and Molecular Structure · MCQ
  18. Q18.Given below are two statements : Statement (I) : Both metals and non-metals exist in p and d-block elements. Statement (II) : Non-metals have higher ionisation enthalpy and higher electronegativity than the metals. In the light of the…
    Chemistry · Periodic Table and Periodicity · MCQ
  19. Q19.Which of the following compounds show colour due to d-d transition?
    Chemistry · Coordination Compounds · MCQ
  20. Q20.Select the compound from the following that will show intramolecular hydrogen bonding.
    Chemistry · Chemical Bonding and Molecular Structure · MCQ
  21. Q21.The number of tripeptides formed by three different amino acids using each amino acid once is ​.
    Chemistry · Biomolecules · Numerical
  22. Q22.Mass of ethylene glycol (antifreeze) to be added to 18.6 kg of water to protect the freezing point at −24∘C is ​kg(Molar mass in g mol−1 for…
    Chemistry · Solutions · Numerical
  23. Q23.Total number of isomeric compounds (including stereoisomers) formed by monochlorination of 2-methylbutane is ​ .
    Chemistry · Basics of Organic Chemistry · Numerical
  24. Q24.The following data were obtained during the first order thermal decomposition of a gas A at constant volume : A(g)→2 B( g)+C(g) The rate constant of the reaction is ​… Includes table
    Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
  25. Q25.For a certain reaction at 300 K, K=10, then ΔG∘ for the same reaction is - ​×10−1 kJ mol−1. (Given R=8.314JK−1 mol−1…
    Chemistry · Thermodynamics · Numerical
  26. Q26.The amount of electricity in Coulomb required for the oxidation of 1 mol of H2​O to O2​ is ​×105C.
    Chemistry · Electrochemistry · Numerical
  27. Q27.Following Kjeldahl's method, 1 g of organic compound released ammonia, that neutralised 10 mL of 2M H2​SO4​. The percentage of nitrogen in the compound is ​%.
    Chemistry · Practical Organic Chemistry · Numerical
  28. Q28.Consider the following redox reaction : MnO4−​+H++H2​C2​O4​⇌Mn2++H2​O+CO2​ The standard reduction potentials are given as…
    Chemistry · Electrochemistry · Numerical
  29. Q29.Number of compounds which give reaction with Hinsberg's reagent is ​. Includes diagram
    Chemistry · Compounds Containing Nitrogen · Numerical
  30. Q30.10 mL of gaseous hydrocarbon on combustion gives 40 mL of CO2​( g) and 50 mL of water vapour. Total number of carbon and hydrogen atoms in the hydrocarbon is…
    Chemistry · Some Basic Concepts of Chemistry · Numerical
  31. Q31.If the domain of the function f(x)=(4−x2)x2−25​​+log10​(x2+2x−15) is (−∞,α)∪[β,∞), then α2+β3 is equal to :
    Mathematics · Functions · MCQ
  32. Q32.If z is a complex number such that ∣z∣⩽1, then the minimum value of ​z+21​(3+4i)​ is :
    Mathematics · Complex Numbers · MCQ
  33. Q33.Consider a △ABC where A(1,3,2),B(−2,8,0) and C(3,6,7). If the angle bisector of ∠BAC meets the line BC at D, then the length of the projection of the vector AD on the vector AC…
    Mathematics · 3D Geometry · MCQ
  34. Q34.Consider the relations R1​ and R2​ defined as aR1​b⇔a2+b2=1 for all a,b∈R and (a,b)R2​(c,d)⇔a+d=b+c for all (a,b),(c,d)∈N×N. Then :
    Mathematics · Sets and Relations · MCQ
  35. Q35.Let the system of equations x+2y+3z=5,2x+3y+z=9,4x+3y+λz=μ have infinite number of solutions. Then λ+2μ is equal to :
    Mathematics · Matrices and Determinants · MCQ
  36. Q36.If 0∫3π​​cos4x dx=aπ+b3​, where a and b are rational numbers, then 9a+8b is equal to :
    Mathematics · Definite Integration · MCQ
  37. Q37.Let α and β be the roots of the equation px2+qx−r=0, where peq0. If p,q and r be the consecutive terms of a non constant G.P. and α1​+β1​=43​, then the value of (α−β)2…
    Mathematics · Quadratic Equation and Inequalities · MCQ
  38. Q38.Let Ajay will not appear in JEE exam with probability p=72​, while both Ajay and Vijay will appear in the exam with probability q=51​. Then the probability, that Ajay will appear in the exam and Vijay…
    Mathematics · Probability · MCQ
  39. Q39.Let P be a point on the ellipse 9x2​+4y2​=1. Let the line passing through P and parallel to y-axis meet the circle x2+y2=9 at point Q such that P and Q are on…
    Mathematics · Ellipse · MCQ
  40. Q40.Consider 10 observations x1​,x2​,…,x10​ such that i=1∑10​(xi​−α)=2 and i=1∑10​(xi​−β)2=40, where α,β are positive integers. Let the mean and the…
    Mathematics · Statistics · MCQ
  41. Q41.Let f(x)=​2x2+5​x∣−3∣,x∈R. If m and n denote the number of points where f is not continuous and not differentiable respectively, then m+n is equal to :
    Mathematics · Limits Continuity and Differentiability · MCQ
  42. Q42.The number of solutions of the equation 4sin2x−4cos3x+9−4cosx=0;x∈[−2π,2π] is :
    Mathematics · Trigonometric Functions and Equations · MCQ
  43. Q43.Let the locus of the midpoints of the chords of the circle x2+(y−1)2=1 drawn from the origin intersect the line x+y=1 at P and Q. Then, the length of PQ is :
    Mathematics · Circle · MCQ
  44. Q44.Let α be a non-zero real number. Suppose f:R→R is a differentiable function such that f(0)=2 and x→−∞lim​f(x)=1. If f′(x)=αf(x)+3, for all x∈R…
    Mathematics · Differential Equations · MCQ
  45. Q45.Let P and Q be the points on the line 8x+3​=2y−4​=2z+1​ which are at a distance of 6 units from the point R(1,2,3). If the centroid of the triangle PQR is $(\alpha, \beta,…
    Mathematics · 3D Geometry · MCQ
  46. Q46.The value of 0∫1​(2x3−3x2−x+1)31​ dx is equal to :
    Mathematics · Definite Integration · MCQ
  47. Q47.If the mirror image of the point P(3,4,9) in the line 3x−1​=2y+1​=1z−2​ is (α,β,γ), then 14 (α+β+γ) is :
    Mathematics · 3D Geometry · MCQ
  48. Q48.Let Sn​ denote the sum of the first n terms of an arithmetic progression. If S10​=390 and the ratio of the tenth and the fifth terms is 15:7, then S15​−S5​ is equal to :
    Mathematics · Sequences and Series · MCQ
  49. Q49.Let m and n be the coefficients of seventh and thirteenth terms respectively in the expansion of (31​x31​+2x32​1​)18. Then (mn​)31​…
    Mathematics · Binomial Theorem · MCQ
  50. Q50.Let f(x)={x−1,x is even, 2x,x is odd, ​x∈N. If for some a∈N,f(f(f(a)))=21, then x→a−lim​{a∣x∣3​−[ax​]}…
    Mathematics · Limits Continuity and Differentiability · MCQ
  51. Q51.Three points O(0,0),P(a,a2),Q(−b,b2),a>0, b>0, are on the parabola y=x2. Let S1​ be the area of the region…
    Mathematics · Area Under the Curves · Numerical
  52. Q52.The sum of squares of all possible values of k, for which area of the region bounded by the parabolas 2y2=kx and ky2=2(y−x) is maximum, is equal to :
    Mathematics · Area Under the Curves · Numerical
  53. Q53.If y=xx​+x+x​(x​+1)(x2−x​)​+151​(3cos2x−5)cos3x, then 96y′(6π​) is equal to :
    Mathematics · Differentiation · Numerical
  54. Q54.If  dydx​=y1+x−y2​,x(1)=1, then 5x(2) is equal to ​.
    Mathematics · Differential Equations · Numerical
  55. Q55.Let f:(0,∞)→R and F(x)=0∫x​tf(t)dt. If F(x2)=x4+x5, then r=1∑12​f(r2) is equal to ​…
    Mathematics · Definite Integration · Numerical
  56. Q56.Let ABC be an isosceles triangle in which A is at (−1,0),∠A=32π​,AB=AC and B is on the positve x-axis. If BC=43​ and the line BC intersects the line y=x+3 at $(\alpha,…
    Mathematics · Straight Lines and Pair of Straight Lines · Numerical
  57. Q57.Let A=I2​−2MMT, where M is a real matrix of order 2×1 such that the relation MTM=I1​ holds. If λ is a real number such that the relation AX=λX holds for some non-zero real matrix X of order 2×1…
    Mathematics · Matrices and Determinants · Numerical
  58. Q58.Let a=i^+j^​+k^,b=−i^−8j^​+2k^ and c=4i^+c2​j^​+c3​k^ be three vectors such that b×a=c×a…
    Mathematics · Vector Algebra · Numerical
  59. Q59.If three successive terms of a G.P. with common ratio r(r>1) are the lengths of the sides of a triangle and [r] denotes the greatest integer less than or equal to r, then 3[r]+[−r] is equal to ​…
    Mathematics · Sequences and Series · Numerical
  60. Q60.The lines L1​, L2​,…,L20​ are distinct. For n=1,2,3,…,10 all the lines L2n−1​ are parallel to each other and all the lines L2n​ pass through a given point…
    Mathematics · Straight Lines and Pair of Straight Lines · Numerical
  61. Q61.From the statements given below : (A) The angular momentum of an electron in nth  orbit is an integral multiple of ℏ. (B) Nuclear forces do not obey inverse square law. (C) Nuclear forces are spin dependent. (D) Nuclear…
    Physics · Atoms and Nuclei · MCQ
  62. Q62.A body of mass 4 kg experiences two forces F1​=5i^+8j^​+7k^ and F2​=3i^−4j^​−3k^. The acceleration acting on the body is :
    Physics · Laws of Motion · MCQ
  63. Q63.Monochromatic light of frequency 6×1014 Hz is produced by a laser. The power emitted is 2×10−3 W. How many photons per second on an average, are emitted by the source ? (Given h=6.63×10−34Js…
    Physics · Dual Nature of Radiation · MCQ
  64. Q64.C1​ and C2​ are two hollow concentric cubes enclosing charges 2Q and 3Q respectively as shown in figure. The ratio of electric flux passing through C1​ and C2​ is : Includes diagram
    Physics · Electrostatics · MCQ
  65. Q65.A galvanometer (G) of 2Ω resistance is connected in the given circuit. The ratio of charge stored in C1​ and C2​ is : Includes diagram
    Physics · Capacitor · MCQ
  66. Q66.Match List - I with List - II. Choose the correct answer from the options given below : Includes table
    Physics · Units and Measurements · MCQ
  67. Q67.A big drop is formed by coalescing 1000 small droplets of water. The surface energy will become :
    Physics · Properties of Matter · MCQ
  68. Q68.A cricket player catches a ball of mass 120 g moving with 25 m/s speed. If the catching process is completed in 0.1 s then the magnitude of force exerted by the ball on the hand of player will…
    Physics · Laws of Motion · MCQ
  69. Q69.In a metre-bridge when a resistance in the left gap is 2Ω and unknown resistance in the right gap, the balance length is found to be 40 cm. On shunting the unknown resistance with 2Ω, the balance length changes…
    Physics · Current Electricity · MCQ
  70. Q70.A diatomic gas (γ=1.4) does 200 J of work when it is expanded isobarically. The heat given to the gas in the process is :
    Physics · Heat and Thermodynamics · MCQ
  71. Q71.Train A is moving along two parallel rail tracks towards north with speed 72 km/h and train B is moving towards south with speed 108 km/h. Velocity of train B with respect to A and velocity of…
    Physics · Motion in A Straight Line · MCQ
  72. Q72.A light planet is revolving around a massive star in a circular orbit of radius R with a period of revolution T. If the force of attraction between planet and star is proportional to R−3/2 then choose the correct…
    Physics · Gravitation · MCQ
  73. Q73.A microwave of wavelength 2.0 cm falls normally on a slit of width 4.0 cm. The angular spread of the central maxima of the diffraction pattern obtained on a screen 1.5 m away from the slit, will be :
    Physics · Wave Optics · MCQ
  74. Q74.If the root mean square velocity of hydrogen molecule at a given temperature and pressure is 2 km/s, the root mean square velocity of oxygen at the same condition in km/s is :
    Physics · Heat and Thermodynamics · MCQ
  75. Q75.If frequency of electromagnetic wave is 60 MHz and it travels in air along z direction then the corresponding electric and magnetic field vectors will be mutually perpendicular to each other and the wavelength of the wave (in…
    Physics · Electromagnetic Waves · MCQ
  76. Q76.To measure the temperature coefficient of resistivity α of a semiconductor, an electrical arrangement shown in the figure is prepared. The arm BC is made up of the semiconductor. The experiment is being conducted at 25∘C… Includes diagram
    Physics · Electronic Devices · MCQ
  77. Q77.Conductivity of a photodiode starts changing only if the wavelength of incident light is less than 660 nm. The band gap of photodiode is found to be (8X​)eV. The value of X is…
    Physics · Dual Nature of Radiation · MCQ
  78. Q78.A transformer has an efficiency of 80% and works at 10 V and 4 kW. If the secondary voltage is 240 V, then the current in the secondary coil is :
    Physics · Electromagnetic Induction · MCQ
  79. Q79.In an ammeter, 5% of the main current passes through the galvanometer. If resistance of the galvanometer is G, the resistance of ammeter will be :
    Physics · Current Electricity · MCQ
  80. Q80.A disc of radius R and mass M is rolling horizontally without slipping with speed v. It then moves up an inclined smooth surface as shown in figure. The maximum height that the disc can go up the incline is : Includes diagram
    Physics · Rotational Motion · MCQ
  81. Q81.A mass m is suspended from a spring of negligible mass and the system oscillates with a frequency f1​. The frequency of oscillations if a mass 9 m is suspended from the same spring is f2​. The value of f2​f1​​i​…
    Physics · Simple Harmonic Motion · Numerical
  82. Q82.In an electrical circuit drawn below the amount of charge stored in the capacitor is ​μ C. Includes diagram
    Physics · Capacitor · Numerical
  83. Q83.A particle initially at rest starts moving from reference point x=0 along x-axis, with velocity v that varies as v=4x​ m/s. The acceleration of the particle is ​ms−2.
    Physics · Motion in A Straight Line · Numerical
  84. Q84.Suppose a uniformly charged wall provides a uniform electric field of 2×104 N/C normally. A charged particle of mass 2 g being suspended through a silk thread of length 20 cm and…
    Physics · Electrostatics · Numerical
  85. Q85.A moving coil galvanometer has 100 turns and each turn has an area of 2.0 cm2. The magnetic field produced by the magnet is 0.01 T and the deflection in the coil is 0.05 radian when a current of 10 mA…
    Physics · Magnetics · Numerical
  86. Q86.One end of a metal wire is fixed to a ceiling and a load of 2 kg hangs from the other end. A similar wire is attached to the bottom of the load and another load of 1 kg hangs from this lower wire. Then the ratio of…
    Physics · Properties of Matter · Numerical
  87. Q87.In Young's double slit experiment, monochromatic light of wavelength 5000 Å is used. The slits are 1.0 mm apart and screen is placed at 1.0 m away from slits. The distance from the centre of the screen where…
    Physics · Wave Optics · Numerical
  88. Q88.A coil of 200 turns and area 0.20 m2 is rotated at half a revolution per second and is placed in uniform magnetic field of 0.01 T perpendicular to axis of rotation of the coil. The maximum voltage generated in the…
    Physics · Electromagnetic Induction · Numerical
  89. Q89.A uniform rod AB of mass 2 kg and length 30 cm at rest on a smooth horizontal surface. An impulse of force 0.2 Ns is applied to end B. The time taken by the rod to turn through at right angles will be…
    Physics · Rotational Motion · Numerical
  90. Q90.A particular hydrogen-like ion emits the radiation of frequency 3×1015 Hz when it makes transition from n=2 to n=1. The frequency of radiation emitted in transition from n=3 to n=1 is 9x​×1015 Hz…
    Physics · Atoms and Nuclei · Numerical