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2021 · 25 Jul · Shift 1

71 questions · JEE Main
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  4. /2021 · 25 Jul · Shift 1

2021 · 25 Jul · Shift 1

71 questions · JEE Main

Chemistry23 questionsMathematics22 questionsPhysics26 questions
Coordination CompoundsChemistry · 2 questionsAlcohols Phenols and EthersChemistry · 1 questionsBiomoleculesChemistry · 1 questionsAldehydes Ketones and Carboxylic AcidsChemistry · 2 questionsHaloalkanes and HaloarenesChemistry · 1 questionsCompounds Containing NitrogenChemistry · 2 questionsChemical Kinetics and Nuclear ChemistryChemistry · 1 questionsPeriodic Table and PeriodicityChemistry · 1 questionsP Block ElementsChemistry · 1 questionsBasics of Organic ChemistryChemistry · 1 questionsD and F Block ElementsChemistry · 1 questionsHydrocarbonsChemistry · 2 questionsStructure of AtomChemistry · 1 questionsSolutionsChemistry · 1 questionsChemical EquilibriumChemistry · 1 questionsElectrochemistryChemistry · 1 questionsThermodynamicsChemistry · 1 questionsSome Basic Concepts of ChemistryChemistry · 2 questionsApplication of DerivativesMathematics · 1 questionsSequences and SeriesMathematics · 1 questionsHyperbolaMathematics · 1 questionsLimits Continuity and DifferentiabilityMathematics · 1 questionsDefinite IntegrationMathematics · 2 questionsBinomial TheoremMathematics · 3 questionsDifferential EquationsMathematics · 2 questionsArea Under the CurvesMathematics · 1 questionsFunctionsMathematics · 1 questionsMatrices and DeterminantsMathematics · 1 questionsProbabilityMathematics · 1 questionsQuadratic Equation and InequalitiesMathematics · 2 questionsEllipseMathematics · 1 questionsStatisticsMathematics · 1 questionsVector AlgebraMathematics · 1 questionsPermutations and CombinationsMathematics · 1 questionsComplex NumbersMathematics · 1 questionsHeat and ThermodynamicsPhysics · 3 questionsRotational MotionPhysics · 2 questionsDual Nature of RadiationPhysics · 2 questionsElectronic DevicesPhysics · 1 questionsVector AlgebraPhysics · 1 questionsCapacitorPhysics · 1 questionsGeometrical OpticsPhysics · 1 questionsProperties of MatterPhysics · 1 questionsCenter of MassPhysics · 2 questionsWave OpticsPhysics · 1 questionsElectromagnetic WavesPhysics · 1 questionsMotion in A Straight LinePhysics · 1 questionsGravitationPhysics · 1 questionsUnits and MeasurementsPhysics · 1 questionsAlternating CurrentPhysics · 1 questionsElectromagnetic InductionPhysics · 1 questionsSimple Harmonic MotionPhysics · 2 questionsMagnetic Properties of MatterPhysics · 1 questionsElectrostaticsPhysics · 1 questionsCurrent ElectricityPhysics · 1 questions
  1. Q1.Which one of the following species responds to an external magnetic field?
    Chemistry · Coordination Compounds · MCQ
  2. Q2.Consider the above reaction, the major product 'P' is : Includes diagram
    Chemistry · Alcohols Phenols and Ethers · MCQ
  3. Q3.The water soluble protein is :
    Chemistry · Biomolecules · MCQ
  4. Q4.Consider the given reaction, the product 'X' is : Includes diagram
    Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
  5. Q5.The given reaction can occur in the presence of : (a) Bromine water (b) Br2​ in CS2​, 273 K (c) Br2​/FeBr3​ (d) Br2​ in CHCl3​, 273 K Choose the correct answer from the options gien below : Includes diagram
    Chemistry · Haloalkanes and Haloarenes · MCQ
  6. Q6.Given below are two statements, one is labelled as Assertion (A) and other is labelled as Reason (R). Assertion (A) : Gabriel phthalimide synthesis cannot be used to prepare aromatic primary amines. Reason (R) : Aryl halides do not undergo…
    Chemistry · Compounds Containing Nitrogen · MCQ
  7. Q7.For the following graphs, Choose from the options given below, the correct one regarding order of reaction is : Includes diagram
    Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
  8. Q8.Which one of the products of the following reactions does not react with Hinsberg reagent to form sulphonamide?
    Chemistry · Compounds Containing Nitrogen · MCQ
  9. Q9.The ionic radii of K+, Na+, Al3+ and Mg2+ are in the order:
    Chemistry · Periodic Table and Periodicity · MCQ
  10. Q10.Which one of the following compounds of Group-14 elements is not known?
    Chemistry · P Block Elements · MCQ
  11. Q11.Which one among the following resonating structures is not correct?
    Chemistry · Basics of Organic Chemistry · MCQ
  12. Q12.The correct order of following 3d metal oxides, according to their oxidation numbers is : (a) CrO3​, (b) Fe2​O3​, (c) MnO2​, (d) V2​O5​, (e) Cu2​O
    Chemistry · D and F Block Elements · MCQ
  13. Q13.Which one of the following compounds will liberate CO2​, when treated with NaHCO3​ ?
    Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
  14. Q14.An organic compound 'A' C4​H8​ on treatment with KMnO4​/H+ yields compound 'B' C3​H6​O. Compound 'A' also yields compound 'B' an ozonolysis. Compound 'A' is :
    Chemistry · Hydrocarbons · MCQ
  15. Q15.The number of sigma bonds in is ​. Includes diagram
    Chemistry · Hydrocarbons · Numerical
  16. Q16.Three moles of AgCl get precipitated when one mole of an octahedral co-ordination compound with empirical formula CrCl3​.3NH3​.3H2​O reacts with excess of silver nitrate. The number of chloride ions satisfying the secondary valency…
    Chemistry · Coordination Compounds · Numerical
  17. Q17.A source of monochromatic radiation of wavelength 400 nm provides 1000 J of energy in 10 seconds. When this radiation falls on the surface of sodium, x × 1020 electrons are ejected per second. Assume that wavelength 400 nm is…
    Chemistry · Structure of Atom · Numerical
  18. Q18.CO2​ gas is bubbled through water during a soft drink manufacturing process at 298 K. If CO2​ exerts a partial pressure of 0.835 bar then x m mol of CO2​ would dissolve in 0.9 L of water. The value of x is ​.…
    Chemistry · Solutions · Numerical
  19. Q19.For the reaction A + B ⇌ 2C the value of equilibrium constant is 100 at 298 K. If the initial concentration of all the three species is 1 M each, then the equilibrium concentration of C is x × 10 − 1 M. The…
    Chemistry · Chemical Equilibrium · Numerical
  20. Q20.Consider the cell at 25 ∘ C Zn | Zn2+ (aq), (1M) || Fe3+ (aq), Fe2+ (aq) | Pt(s) The fraction of total iron present as Fe3+ ion at the cell potential of 1.500 V is x × 10 − 2. The value of x is ​…
    Chemistry · Electrochemistry · Numerical
  21. Q21.At 298 K, the enthalpy of fusion of a solid (X) is 2.8 kJ mol − 1 and the enthalpy of vaporisation of the liquid (X) is 98.2 kJ mol − 1. The enthalpy of sublimation of the substance (X) in kJ mol − 1 is ​.…
    Chemistry · Thermodynamics · Numerical
  22. Q22.When 10 mL of an aqueous solution of Fe2+ ions was titrated in the presence of dil H2​SO4​ using diphenylamine indicator, 15 mL of 0.02 M solution of K2​Cr2​O7​ was required to get the end point. The molarity of the solution…
    Chemistry · Some Basic Concepts of Chemistry · Numerical
  23. Q23.Consider the complete combustion of butane, the amount of butane utilized to produce 72.0 g of water is ​× 10 − 1 g. (in nearest integer)
    Chemistry · Some Basic Concepts of Chemistry · Numerical
  24. Q24.Let f(x)=3sin4x+10sin3x+6sin2x−3, x∈[−6π​,2π​]. Then, f is :
    Mathematics · Application of Derivatives · MCQ
  25. Q25.Let Sn be the sum of the first n terms of an arithmetic progression. If S3n = 3S2n, then the value of S2n​S4n​​ is :
    Mathematics · Sequences and Series · MCQ
  26. Q26.The locus of the centroid of the triangle formed by any point P on the hyperbola 16x2−9y2+32x+36y−164=0, and its foci is :
    Mathematics · Hyperbola · MCQ
  27. Q27.Let f : R → R be defined as f(x)=⎩⎨⎧​μ(5x−x2−6)λ∣x2−5x+6∣​,ex−[x]tan(x−2)​,μ,​x<2x>2x=2​…
    Mathematics · Limits Continuity and Differentiability · MCQ
  28. Q28.The value of the definite integral π/24∫5π/24​1+3tan2x​dx​ is :
    Mathematics · Definite Integration · MCQ
  29. Q29.If b is very small as compared to the value of a, so that the cube and other higher powers of ab​ can be neglected in the identity a−b1​+a−2b1​+a−3b1​+.....+a−nb1​=αn+βn2+γn3…
    Mathematics · Binomial Theorem · MCQ
  30. Q30.Let y = y(x) be the solution of the differential equation dxdy​=1+xey−x,−2​<x<2​,y(0)=0 then, the minimum value of y(x),x∈(−2​,2​) is equal to :
    Mathematics · Differential Equations · MCQ
  31. Q31.The area (in sq. units) of the region, given by the set {(x,y)∈R×R∣x≥0,2x2≤y≤4−2x} is :
    Mathematics · Area Under the Curves · MCQ
  32. Q32.Let g : N → N be defined as g(3n + 1) = 3n + 2, g(3n + 2) = 3n + 3, g(3n + 3) = 3n + 1, for all n ≥ 0. Then which of the following statements is true?
    Mathematics · Functions · MCQ
  33. Q33.Let f:[0,∞)→[0,∞) be defined as f(x)=∫0x​[y]dy where [x] is the greatest integer less than or equal to x. Which of the following is true?
    Mathematics · Definite Integration · MCQ
  34. Q34.The values of a and b, for which the system of equations 2x + 3y + 6z = 8 x + 2y + az = 5 3x + 5y + 9z = b has no solution, are :
    Mathematics · Matrices and Determinants · MCQ
  35. Q35.Let 9 distinct balls be distributed among 4 boxes, B1, B2, B3 and B4. If the probability than B3 contains exactly 3 balls is k(43​)9 then k lies in the set :
    Mathematics · Probability · MCQ
  36. Q36.The number of real roots of the equation e6x−e4x−2e3x−12e2x+ex+1=0 is :
    Mathematics · Quadratic Equation and Inequalities · MCQ
  37. Q37.Let an ellipse E:a2x2​+b2y2​=1, a2>b2, passes through (23​​,1) and has eccentricity 3​1​. If a circle, centered at focus…
    Mathematics · Ellipse · MCQ
  38. Q38.Let y = y(x) be solution of the following differential equation eydxdy​−2eysinx+sinxcos2x=0,y(2π​)=0 If y(0)=loge​(α+βe−2), then $4(\alpha + \beta…
    Mathematics · Differential Equations · Numerical
  39. Q39.Consider the following frequency distribution : If the sum of all frequencies is 584 and median is 45, then | α−β | is equal to ​. Includes table
    Mathematics · Statistics · Numerical
  40. Q40.Let p​=2i+3j​+k and q​=i+2j​+k be two vectors. If a vector r=(αi+βj​+γk)…
    Mathematics · Vector Algebra · Numerical
  41. Q41.The ratio of the coefficient of the middle term in the expansion of (1 + x)20 and the sum of the coefficients of two middle terms in expansion of (1 + x)19 is ​.
    Mathematics · Binomial Theorem · Numerical
  42. Q42.There are 5 students in class 10, 6 students in class 11 and 8 students in class 12. If the number of ways, in which 10 students can be selected from them so as to include at least 2 students from each class and at most 5 students from the…
    Mathematics · Permutations and Combinations · Numerical
  43. Q43.If α, β are roots of the equation x2+5(2​)x+10=0, α>β and Pn​=αn−βn for each positive integer n, then the value of (P18​P19​+52​P182​P17​P20​+52​P17​P19​​)…
    Mathematics · Quadratic Equation and Inequalities · Numerical
  44. Q44.The term independent of 'x' in the expansion of (x2/3−x1/3+1x+1​−x−x1/2x−1​)10, where x e 0, 1 is equal to ​.
    Mathematics · Binomial Theorem · Numerical
  45. Q45.Let S={n∈N​(01​i0​)n(ac​bd​)=(ac​bd​)∀a,b,c,d∈R}…
    Mathematics · Complex Numbers · Numerical
  46. Q46.For a gas CP − CV = R in a state P and CP − CV = 1.10 R in a state Q, TP and TQ are the temperatures in two different states P and Q respectively. Then
    Physics · Heat and Thermodynamics · MCQ
  47. Q47.Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : Moment of inertia of a circular disc of mass 'M' and radius 'R' about X, Y axes (passing through its plane) and Z-axis…
    Physics · Rotational Motion · MCQ
  48. Q48.What should be the order of arrangement of de-Broglie wavelength of electron (λ e), an α-particle (λ a) and proton (λ p) given that all have the same kinetic energy?
    Physics · Dual Nature of Radiation · MCQ
  49. Q49.Identify the logic operation carried out. Includes diagram
    Physics · Electronic Devices · MCQ
  50. Q50.A particle of mass 4M at rest disintegrates into two particles of mass M and 3M respectively having non zero velocities. The ratio of de-Broglie wavelength of particle of mass M to that of mass 3M will be :
    Physics · Dual Nature of Radiation · MCQ
  51. Q51.Match List - I with List - II Choose the correct answer from the options given below : Includes diagram
    Physics · Vector Algebra · MCQ
  52. Q52.A parallel plate capacitor with plate area 'A' and distance of separation 'd' is filled with a dielectric. What is the capacity of the capacitor when permittivity of the dielectric varies as : ε(x)=ε0​+kx, for…
    Physics · Capacitor · MCQ
  53. Q53.A monoatomic ideal gas, initially at temperature T1 is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature T2 by releasing the piston suddenly. If l1 and l2 are the lengths…
    Physics · Heat and Thermodynamics · MCQ
  54. Q54.A ray of laser of a wavelength 630 nm is incident at an angle of 30 ∘ at the diamond-air interface. It is going from diamond to air. The refractive index of diamond is 2.42 and that of air is 1. Choose the correct option.
    Physics · Geometrical Optics · MCQ
  55. Q55.Two wires of same length and radius are joined end to end and loaded. The Young's modulii of the materials of the two wires are Y1 and Y2. The combination behaves as a single wire then its Young's modulus is :
    Physics · Properties of Matter · MCQ
  56. Q56.Two billiard balls of equal mass 30g strike a rigid wall with same speed of 108 kmph (as shown) but at different angles. If the balls get reflected with the same speed then the ratio of the magnitude of impulses imparted to ball 'a' and… Includes diagram
    Physics · Center of Mass · MCQ
  57. Q57.In the Young's double slit experiment, the distance between the slits varies in time as d(t) = d0 + a0 sin ω t; where d0, ω and a0 are constants. The difference between the largest fringe width and the smallest fringe width…
    Physics · Wave Optics · MCQ
  58. Q58.Two different metal bodies A and B of equal mass are heated at a uniform rate under similar conditions. The variation of temperature of the bodies is graphically represented as shown in the figure. The ratio of specific heat capacities is : Includes diagram
    Physics · Heat and Thermodynamics · MCQ
  59. Q59.A linearly polarized electromagnetic wave in vacuum is E=3.1cos[(1.8)z−(5.4×106)t]iN/C is incident normally on a perfectly reflecting wall at z = a. Choose the correct option
    Physics · Electromagnetic Waves · MCQ
  60. Q60.Water droplets are coming from an open tap at a particular rate. The spacing between a droplet observed at 4th second after its fall to the next droplet is 34.3 m. At what rate the droplets are coming from the tap ? (Take g = 9.8 m/s2)
    Physics · Motion in A Straight Line · MCQ
  61. Q61.The minimum and maximum distances of a planet revolving around the sun are x1 and x2. If the minimum speed of the planet on its trajectory is v0 then its maximum speed will be :
    Physics · Gravitation · MCQ
  62. Q62.A body of mass 2 kg moving with a speed of 4 m/s. makes an elastic collision with another body at rest and continues to move in the original direction but with one fourth of its initial peed. The speed of the two body centre of mass is 10x​…
    Physics · Center of Mass · Numerical
  63. Q63.Student A and student B used two screw gauges of equal pitch and 100 equal circular divisions to measure the radius of a given wire. The actual value of the radius of the wire is 0.322 cm. The absolute value of the difference between the… Includes diagram
    Physics · Units and Measurements · Numerical
  64. Q64.An inductor of 10 mH is connected to a 20V battery through a resistor of 10 k Ω and a switch. After a long time, when maximum current is set up in the circuit, the current is switched off. The current in the circuit after 1 μ s…
    Physics · Alternating Current · Numerical
  65. Q65.A circular conducting coil of radius 1 m is being heated by the change of magnetic field B passing perpendicular to the plane in which the coil is laid. The resistance of the coil is 2 μΩ. The magnetic field is…
    Physics · Electromagnetic Induction · Numerical
  66. Q66.In the reported figure, two bodies A and B of masses 200 g and 800 g are attached with the system of springs. Springs are kept in a stretched position with some extension when the system is released. The horizontal surface is assumed to be… Includes diagram
    Physics · Simple Harmonic Motion · Numerical
  67. Q67.The value of aluminium susceptibility is 2.2 × 10 − 5. The percentage increase in the magnetic field if space within a current carrying toroid is filled with aluminium is 104x​. Then the value of x is ​…
    Physics · Magnetic Properties of Matter · Numerical
  68. Q68.A particle of mass 1 mg and charge q is lying at the mid-point of two stationary particles kept at a distance '2 m' when each is carrying same charge 'q'. If the free charged particle is displaced from its equilibrium position through…
    Physics · Electrostatics · Numerical
  69. Q69.An electric bulb rated as 200 W at 100 V is used in a circuit having 200 V supply. The resistance 'R' that must be put in series with the bulb so that the bulb delivers the same power is ​Ω.
    Physics · Current Electricity · Numerical
  70. Q70.A pendulum bob has a speed of 3 m/s at its lowest position. The pendulum is 50 cm long. The speed of bob, when the length makes an angle of 60 ∘ to the vertical will be (g = 10 m/s2) ​ m/s.
    Physics · Simple Harmonic Motion · Numerical
  71. Q71.A particle of mass 'm' is moving in time 't' on a trajectory given by r=10αt2i+5β(t−5)j​ Where α and β are dimensional constants. The angular momentum of the particle…
    Physics · Rotational Motion · Numerical