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2020 · 6 Sep · Shift 1

61 questions · JEE Main
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  4. /2020 · 6 Sep · Shift 1

2020 · 6 Sep · Shift 1

61 questions · JEE Main

Chemistry19 questionsMathematics19 questionsPhysics23 questions
Chemical Bonding and Molecular StructureChemistry · 1 questionsSolutionsChemistry · 1 questionsElectrochemistryChemistry · 1 questionsPractical Organic ChemistryChemistry · 1 questionsD and F Block ElementsChemistry · 2 questionsAldehydes Ketones and Carboxylic AcidsChemistry · 2 questionsChemical EquilibriumChemistry · 2 questionsChemical Kinetics and Nuclear ChemistryChemistry · 1 questionsP Block ElementsChemistry · 1 questionsHydrocarbonsChemistry · 2 questionsBasics of Organic ChemistryChemistry · 1 questionsCoordination CompoundsChemistry · 1 questionsIonic EquilibriumChemistry · 1 questionsSome Basic Concepts of ChemistryChemistry · 1 questionsCompounds Containing NitrogenChemistry · 1 questionsArea Under the CurvesMathematics · 1 questionsDifferential EquationsMathematics · 1 questionsComplex NumbersMathematics · 1 questionsSequences and SeriesMathematics · 1 questionsDefinite IntegrationMathematics · 2 questionsSets and RelationsMathematics · 1 questionsLimits Continuity and DifferentiabilityMathematics · 1 questionsVector AlgebraMathematics · 1 questionsApplication of DerivativesMathematics · 1 questionsQuadratic Equation and InequalitiesMathematics · 1 questionsStatisticsMathematics · 1 questionsBinomial TheoremMathematics · 1 questionsFunctionsMathematics · 1 questionsProbabilityMathematics · 1 questionsStraight Lines and Pair of Straight LinesMathematics · 1 questionsMatrices and DeterminantsMathematics · 2 questionsPermutations and CombinationsMathematics · 1 questionsElectronic DevicesPhysics · 1 questionsMagneticsPhysics · 2 questionsCenter of MassPhysics · 1 questionsHeat and ThermodynamicsPhysics · 2 questionsProperties of MatterPhysics · 1 questionsGeometrical OpticsPhysics · 1 questionsLaws of MotionPhysics · 1 questionsWave OpticsPhysics · 1 questionsCircular MotionPhysics · 1 questionsElectrostaticsPhysics · 1 questionsRotational MotionPhysics · 2 questionsAtoms and NucleiPhysics · 1 questionsWork Power and EnergyPhysics · 1 questionsGravitationPhysics · 1 questionsCapacitorPhysics · 1 questionsUnits and MeasurementsPhysics · 2 questionsDual Nature of RadiationPhysics · 1 questionsElectromagnetic InductionPhysics · 1 questionsElectromagnetic WavesPhysics · 1 questions
  1. Q1.The number of Cl = O bonds in perchloric acid is, "​".
    Chemistry · Chemical Bonding and Molecular Structure · Numerical
  2. Q2.The elevation of boiling point of 0.10 m aqueous CrCl3​.xNH3​ solution is two times that of 0.05 m aqueous CaCl2​ solution. The value of x is ​. [Assume 100% ionisation of the complex and CaCl2​, coordination…
    Chemistry · Solutions · Numerical
  3. Q3.Potassium chlorate is prepared by the electrolysis of KCl in basic solution 6OH−+Cl− → ClO3−​+3H2​O+6e− If only 60% of the current is utilized in the reaction, the time (rounded to the nearest hour) required to produce…
    Chemistry · Electrochemistry · Numerical
  4. Q4.In an estimation of bromine by Carius method, 1.6 g of an organic compound gave 1.88 g of AgBr. The mass percentage of bromine in the compound is ​. (Atomic mass, Ag = 108, Br = 80 g mol–1)
    Chemistry · Practical Organic Chemistry · Numerical
  5. Q5.The set that contains atomic numbers of only transition elements, is :
    Chemistry · D and F Block Elements · MCQ
  6. Q6.Consider the following reactions 'A' is : Includes diagram
    Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
  7. Q7.The variation of equilibrium constant with temperature is given below : The values of Δ Ho, Δ Go at T1 and Δ Go at T2 (in kJ mol–1) respectively, are close to : [Use R = 8.314 J K–1 mol–1] Includes table
    Chemistry · Chemical Equilibrium · MCQ
  8. Q8.Consider the following reactions A → P1​ ; B → P2​ ; C → P3​ ; D → P4​, The order of the above reactions are a, b, c, and d, respectively. The following graph is obtained when log[rate] vs. log[conc.] are plotted… Includes diagram
    Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
  9. Q9.The correct statement with respect to dinitrogen is :
    Chemistry · P Block Elements · MCQ
  10. Q10.The major product obtained from the following reaction is : Includes diagram
    Chemistry · Hydrocarbons · MCQ
  11. Q11.Which of the following compounds shows geometrical isomerism?
    Chemistry · Basics of Organic Chemistry · MCQ
  12. Q12.The lanthanoid that does NOT show +4 oxidation state is :
    Chemistry · D and F Block Elements · MCQ
  13. Q13.The major products of the following reaction are : Includes diagram
    Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
  14. Q14.The major product of the following reaction is : Includes diagram
    Chemistry · Hydrocarbons · MCQ
  15. Q15.The species that has a spin-only magnetic moment of 5.9 BM, is : (Td = tetrahedral)
    Chemistry · Coordination Compounds · MCQ
  16. Q16.Arrange the following solutions in the decreasing order of pOH : (A) 0.01 M HCl (B) 0.01 M NaOH (C) 0.01 M CH3​COONa (D) 0.01 M NaCl
    Chemistry · Ionic Equilibrium · MCQ
  17. Q17.For the reaction Fe2​N(s) + 23​ H2​(g) ⇌ 2Fe(s) + NH3​(g)
    Chemistry · Chemical Equilibrium · MCQ
  18. Q18.A solution of two components containing n1​ moles of the 1st component and n2​ moles of the 2nd component is prepared. M1​ and M2​ are the molecular weights of component 1 and 2 respectively. If d is the density of the solution in…
    Chemistry · Some Basic Concepts of Chemistry · MCQ
  19. Q19.The increasing order of pKb values of the following compounds is : Includes diagram
    Chemistry · Compounds Containing Nitrogen · MCQ
  20. Q20.The area (in sq. units) of the region A = {(x, y) : |x| + |y| ≤ 1, 2y2 ≥ |x|}
    Mathematics · Area Under the Curves · MCQ
  21. Q21.The general solution of the differential equation 1+x2+y2+x2y2​ + xy dxdy​ = 0 is : (where C is a constant of integration)
    Mathematics · Differential Equations · MCQ
  22. Q22.The region represented by {z = x + iy ∈ C : |z| – Re(z) ≤ 1} is also given by the inequality : {z = x + iy ∈ C : |z| – Re(z) ≤ 1}
    Mathematics · Complex Numbers · MCQ
  23. Q23.Let a , b, c , d and p be any non zero distinct real numbers such that (a2 + b2 + c2)p2 – 2(ab + bc + cd)p + (b2 + c2 + d2) = 0. Then :
    Mathematics · Sequences and Series · MCQ
  24. Q24.x→1lim​​(x−1)sin(x−1)0∫(x−1)2​tcos(t2)dt​​
    Mathematics · Definite Integration · MCQ
  25. Q25.Set A has m elements and set B has n elements. If the total number of subsets of A is 112 more than the total number of subsets of B, then the value of m.n is ​.
    Mathematics · Sets and Relations · Numerical
  26. Q26.Let f : R → R be defined as f(x)=⎩⎨⎧​x5sin(x1​)+5x2,0,x5cos(x1​)+λx2,​x<0x=0x>0​…
    Mathematics · Limits Continuity and Differentiability · Numerical
  27. Q27.If a and b are unit vectors, then the greatest value of 3​​a+b​+​a−b​ is ​…
    Mathematics · Vector Algebra · Numerical
  28. Q28.If I1 = 0∫1​(1−x50)100dx and I2 =0∫1​(1−x50)101dx such that I2 =α I1 then α equals to :
    Mathematics · Definite Integration · MCQ
  29. Q29.The position of a moving car at time t is given by f(t) = at2 + bt + c, t > 0, where a, b and c are real numbers greater than 1. Then the average speed of the car over the time interval [t1 , t2 ] is attained at the point :
    Mathematics · Application of Derivatives · MCQ
  30. Q30.If α and β be two roots of the equation x2 – 64x + 256 = 0. Then the value of (β5α3​)1/8+(α5β3​)1/8 is :
    Mathematics · Quadratic Equation and Inequalities · MCQ
  31. Q31.If i=1∑n​(xi​−a)=n and i=1∑n​(xi​−a)2=na (n, a > 1) then the standard deviation of n observations x1 , x2 , ..., xn is :
    Mathematics · Statistics · MCQ
  32. Q32.If {p} denotes the fractional part of the number p, then {83200​}, is equal to :
    Mathematics · Binomial Theorem · MCQ
  33. Q33.If f(x + y) = f(x)f(y) and x=1∑∞​f(x)=2, x, y ∈ N, where N is the set of all natural number, then the value of f(2)f(4)​ is :
    Mathematics · Functions · MCQ
  34. Q34.Out of 11 consecutive natural numbers if three numbers are selected at random (without repetition), then the probability that they are in A.P. with positive common difference, is :
    Mathematics · Probability · MCQ
  35. Q35.A ray of light coming from the point (2, 23​) is incident at an angle 30o on the line x = 1 at the point A. The ray gets reflected on the line x = 1 and meets x-axis at the point B. Then, the line AB passes through the point :
    Mathematics · Straight Lines and Pair of Straight Lines · MCQ
  36. Q36.The values of λ and μ for which the system of linear equations x + y + z = 2 x + 2y + 3z = 5 x + 3y +λ z = μ has infinitely many solutions are, respectively:
    Mathematics · Matrices and Determinants · MCQ
  37. Q37.Let m and M be respectively the minimum and maximum values of ​cos2x1+cos2xcos2x​1+sin2xsin2xsin2x​sin2xsin2x1+sin2x​​…
    Mathematics · Matrices and Determinants · MCQ
  38. Q38.Two families with three members each and one family with four members are to be seated in a row. In how many ways can they be seated so that the same family members are not separated?
    Mathematics · Permutations and Combinations · MCQ
  39. Q39.Identify the correct output signal Y in the given combination of gates (as shown) for the given inputs A and B. Includes diagram
    Physics · Electronic Devices · MCQ
  40. Q40.A particle of charge q and mass m is moving with a velocity −vi(v e 0) towards a large screen placed in the Y - Z plane at a distance d. If there is a magnetic field B=B0​k , the maximum value…
    Physics · Magnetics · MCQ
  41. Q41.Two bodies of the same mass are moving with the same speed, but in different directions in a plane. They have a completely inelastic collision and move together thereafter with a final speed which is half of their initial speed. The angle…
    Physics · Center of Mass · Numerical
  42. Q42.Molecules of an ideal gas are known to have three translational degrees of freedom and two rotational degrees of freedom.The gas is maintained at a temperature of T. The total internal energy, U of a mole of this gas, and the value of γ(=Cv​Cp​​)…
    Physics · Heat and Thermodynamics · MCQ
  43. Q43.An object of mass m is suspended at the end of a massless wire of length L and area of crosssection A. Young modulus of the material of the wire is Y. If the mass is pulled down slightly its frequency of oscillation along the vertical…
    Physics · Properties of Matter · MCQ
  44. Q44.A point like object is placed at a distance of 1 m in front of a convex lens of focal length 0.5 m. A plane mirror is placed at a distance of 2 m behind the lens. The position and nature of the final image formed by the system is :
    Physics · Geometrical Optics · MCQ
  45. Q45.An insect is at the bottom of a hemispherical ditch of radius 1 m. It crawls up the ditch but starts slipping after it is at height h from the bottom. If the coefficient of friction between the ground and the insect is 0.75, then h is : (g…
    Physics · Laws of Motion · MCQ
  46. Q46.In the figure below, P and Q are two equally intense coherent sources emitting radiation of wavelength 20 m. The separation between P and Q is 5 m and the phase of P is ahead of that of Q by 90o. A, B and C are three distinct points of… Includes diagram
    Physics · Wave Optics · MCQ
  47. Q47.A clock has a continuously moving second's hand of 0.1 m length. The average acceleration of the tip of the hand (in units of ms–2) is of the order of :
    Physics · Circular Motion · MCQ
  48. Q48.Charges Q1 and Q2 are at points A and B of a right angle triangle OAB (see figure). The resultant electric field at point O is perpendicular to the hypotenuse, then Q2​Q1​​ is proportional to : Includes diagram
    Physics · Electrostatics · MCQ
  49. Q49.An electron is moving along +x direction with a velocity of 6 × 106 ms–1. It enters a region of uniform electric field of 300 V/cm pointing along +y direction. The magnitude and direction of the magnetic field set up in this region…
    Physics · Magnetics · MCQ
  50. Q50.Shown in the figure is a hollow icecream cone (it is open at the top). If its mass is M, radius of its top, R and height, H, then its moment of inertia about its axis is : Includes diagram
    Physics · Rotational Motion · MCQ
  51. Q51.You are given that Mass of 37​Li= 7.0160u, Mass of 24​He= 4.0026u and Mass of 11​H= 1.0079u. When 20 g of 37​Li is converted into 24​He by proton capture, the energy liberated, (in kWh), is : [Mass of nucleon = 1…
    Physics · Atoms and Nuclei · MCQ
  52. Q52.If the potential energy between two molecules is given by U = −r6A​+r12B​, then at equilibrium, separation between molecules, and the potential energy are :
    Physics · Work Power and Energy · MCQ
  53. Q53.A satellite is in an elliptical orbit around a planet P. It is observed that the velocity of the satellite when it is farthest from the planet is 6 times less than that when it is closest to the planet. The ratio of distances between the…
    Physics · Gravitation · MCQ
  54. Q54.For the given input voltage waveform Vin(t), the output voltage waveform V0(t), across the capacitor is correctly depicted by : Includes diagram
    Physics · Capacitor · MCQ
  55. Q55.Four point masses, each of mass m, are fixed at the corners of a square of side l. The square is rotating with angular frequency ω, about an axis passing through one of the corners of the square and parallel to its diagonal, as… Includes diagram
    Physics · Rotational Motion · MCQ
  56. Q56.A screw gauge has 50 divisions on its circular scale. The circular scale is 4 units ahead of the pitch scale marking, prior to use. Upon one complete rotation of the circular scale, a displacement of 0.5mm is noticed on the pitch scale.…
    Physics · Units and Measurements · MCQ
  57. Q57.An electron, a doubly ionized helium ion (He++) and a proton are having the same kinetic energy. The relation between their respective de-Broglie wavelengths λ e, λ He++ and λ p is :
    Physics · Dual Nature of Radiation · MCQ
  58. Q58.A part of a complete circuit is shown in the figure. At some instant, the value of current I is 1A and it is decreasing at a rate of 102 A s–1. The value of the potential difference VP – VQ , (in volts) at that instant, is ​… Includes diagram
    Physics · Electromagnetic Induction · Numerical
  59. Q59.Initially a gas of diatomic molecules is contained in a cylinder of volume V1 at a pressure P1 and temperature 250 K. Assuming that 25% of the molecules get dissociated causing a change in number of moles. The pressure of the resulting gas…
    Physics · Heat and Thermodynamics · Numerical
  60. Q60.The density of a solid metal sphere is determined by measuring its mass and its diameter. The maximum error in the density of the sphere is (100x​) %. If the relative errors in measuring the mass and the…
    Physics · Units and Measurements · Numerical
  61. Q61.Suppose that intensity of a laser is π315​ W/m2. The rms electric field, in units of V/m associated with this source is close to the nearest integer is ​. ∈ 0 = 8.86 × 10–12 C2 Nm–2; c = 3 × 108…
    Physics · Electromagnetic Waves · Numerical