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2019 · 11 Jan · Shift 1

70 questions · JEE Main
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  4. /2019 · 11 Jan · Shift 1

2019 · 11 Jan · Shift 1

70 questions · JEE Main

Chemistry19 questionsMathematics22 questionsPhysics29 questions
ThermodynamicsChemistry · 2 questionsChemical EquilibriumChemistry · 1 questionsSome Basic Concepts of ChemistryChemistry · 2 questionsPeriodic Table and PeriodicityChemistry · 1 questionsElectrochemistryChemistry · 1 questionsD and F Block ElementsChemistry · 1 questionsStructure of AtomChemistry · 1 questionsCoordination CompoundsChemistry · 1 questionsChemical Kinetics and Nuclear ChemistryChemistry · 1 questionsAlcohols Phenols and EthersChemistry · 2 questionsAldehydes Ketones and Carboxylic AcidsChemistry · 1 questionsHydrocarbonsChemistry · 1 questionsBiomoleculesChemistry · 1 questionsCompounds Containing NitrogenChemistry · 1 questionsSolutionsChemistry · 1 questionsBasics of Organic ChemistryChemistry · 1 questionsCircleMathematics · 2 questionsDifferentiationMathematics · 1 questionsLimits Continuity and DifferentiabilityMathematics · 2 questionsMatrices and DeterminantsMathematics · 2 questionsDifferential EquationsMathematics · 1 questionsQuadratic Equation and InequalitiesMathematics · 1 questionsStatisticsMathematics · 1 questionsApplication of DerivativesMathematics · 1 questionsFunctionsMathematics · 2 questionsVector AlgebraMathematics · 1 questionsBinomial TheoremMathematics · 1 questionsIndefinite IntegralsMathematics · 1 questionsDefinite IntegrationMathematics · 1 questionsSequences and SeriesMathematics · 2 questionsProbabilityMathematics · 1 questionsComplex NumbersMathematics · 1 questionsArea Under the CurvesMathematics · 1 questionsElectromagnetic WavesPhysics · 1 questionsWavesPhysics · 1 questionsCircular MotionPhysics · 2 questionsProperties of MatterPhysics · 1 questionsCurrent ElectricityPhysics · 3 questionsElectronic DevicesPhysics · 1 questionsRotational MotionPhysics · 2 questionsCenter of MassPhysics · 1 questionsAlternating CurrentPhysics · 1 questionsElectrostaticsPhysics · 2 questionsCapacitorPhysics · 1 questionsGeometrical OpticsPhysics · 2 questionsWave OpticsPhysics · 1 questionsUnits and MeasurementsPhysics · 1 questionsElectromagnetic InductionPhysics · 1 questionsDual Nature of RadiationPhysics · 1 questionsMagneticsPhysics · 1 questionsAtoms and NucleiPhysics · 1 questionsGravitationPhysics · 1 questionsHeat and ThermodynamicsPhysics · 3 questionsSimple Harmonic MotionPhysics · 1 questions
  1. Q1.For the chemical reaction X ⇌ Y, the standard reaction Gibbs energy depends on temperature T (in K) as Δ rGo (in kJ mol–1) = 120 −83​ T. The major component of the reaction mixture at T is :
    Chemistry · Thermodynamics · MCQ
  2. Q2.Consider the reaction N2​(g) + 3H2​(g) ⇌ 2NH3​(g) The equilibrium constant of the above reaction is Kp. If pure ammonia is left to dissociate, the partial pressure of ammonia at equilibrium is given by (Assume…
    Chemistry · Chemical Equilibrium · MCQ
  3. Q3.A 10 mg effervescent tablet containing sodium bicarbonate and oxalic acid releases 0.25 ml of CO2​ at T = 298.15 K and p = 1 bar. If molar volume of CO2​ is 25.0 L under such condition, what is the percentage of sodium bicarbonate in…
    Chemistry · Some Basic Concepts of Chemistry · MCQ
  4. Q4.The correct order of the atomic radii of C, Cs, Al, and S is :
    Chemistry · Periodic Table and Periodicity · MCQ
  5. Q5.For the cell Zn(s) |Zn2+ (aq)| |Mx+ (aq)| M(s), different half cells and their standard electrode potentials are given below : If Ezn2+/zn0​=− 0.76 V, which cathode will give maximum value of Eocell per electron transferred? Includes table
    Chemistry · Electrochemistry · MCQ
  6. Q6.The element that usually does NOT show variable oxidation states is :
    Chemistry · D and F Block Elements · MCQ
  7. Q7.Heat treatment of muscular pain involves radiation of wavelength of about 900 nm. Which spectral line of H atom is suitable for this purpose? [RH = 1 × 105 cm–1, h = 6.6 × 10–34 Js, c = 3 × 108 ms–1]
    Chemistry · Structure of Atom · MCQ
  8. Q8.Match the metals (column I) with the coordination compound(s)/enzyme(s) (column II) Includes table
    Chemistry · Coordination Compounds · MCQ
  9. Q9.If a reaction follows the Arrhenius equation, the plot ln k vs (RT)1​ gives straight line with a gradient (− y) unit. The energy required to active the reactant is :
    Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
  10. Q10.The major product of the following reaction is : Includes diagram
    Chemistry · Alcohols Phenols and Ethers · MCQ
  11. Q11.The major product of the following reaction is : Includes diagram
    Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
  12. Q12.The major product of the following reaction is Includes diagram
    Chemistry · Alcohols Phenols and Ethers · MCQ
  13. Q13.Which compound (s) out of the following is/are not aromatic ? Includes diagram
    Chemistry · Hydrocarbons · MCQ
  14. Q14.Among the following compounds, which one is found in RNA ?
    Chemistry · Biomolecules · MCQ
  15. Q15.The major product of the following reaction is : Includes diagram
    Chemistry · Compounds Containing Nitrogen · MCQ
  16. Q16.Two blocks of the same metal having same mass and at temperature T1 and T2, respectively, are brought in contact with each other and allowed to attain thermal equilibrium at constant pressure. The change in entropy, Δ S, for this…
    Chemistry · Thermodynamics · MCQ
  17. Q17.The freezing point of a diluted milk sample is found to be –0.2oC, while it should have been –0.5oC for pure milk. How much water has been added to pure milk to make the diluted sample?
    Chemistry · Solutions · MCQ
  18. Q18.The correct match between items I and II is : Includes table
    Chemistry · Basics of Organic Chemistry · MCQ
  19. Q19.An organic compound is estimated through Duma's method and was found to evolve 6 moles of CO2​. 4 moles of H2​O and 1 mole of nitrogen gas. The formula of the compound is :
    Chemistry · Some Basic Concepts of Chemistry · MCQ
  20. Q20.The straight line x + 2y = 1 meets the coordinate axes at A and B. A circle is drawn through A, B and the origin. Then the sum of perpendicular distances from A and B on the tangent to the circle at the origin is :
    Mathematics · Circle · MCQ
  21. Q21.If xloge(logex) − x2 + y2 = 4(y > 0), then dxdy​ at x = e is equal to :
    Mathematics · Differentiation · MCQ
  22. Q22.Let [x] denote the greatest integer less than or equal to x. Then x→0lim​x2tan(πsin2x)+(∣x∣−sin(x[x]))2​…
    Mathematics · Limits Continuity and Differentiability · MCQ
  23. Q23.Let A = ​0pp​2qq−q​r−rr​​. If AAT = I3, then ∣p∣ is :
    Mathematics · Matrices and Determinants · MCQ
  24. Q24.If y(x) is the solution of the differential equation dxdy​+(x2x+1​)y=e−2x,x>0, where y(1)=21​e−2, then
    Mathematics · Differential Equations · MCQ
  25. Q25.A square is inscribed in the circle x2 + y2 – 6x + 8y – 103 = 0 with its sides parallel to the coordinate axes. Then the distance of the vertex of this square which is nearest to the origin is :
    Mathematics · Circle · MCQ
  26. Q26.If one real root of the quadratic equation 81x2 + kx + 256 = 0 is cube of the other root, then a value of k is
    Mathematics · Quadratic Equation and Inequalities · MCQ
  27. Q27.The outcome of each of 30 items was observed; 10 items gave an outcome 21​– d each, 10 items gave outcome 21​ each and the remaining 10 items gave outcome 21​+ d each. If the variance of this outcome data is 34​…
    Mathematics · Statistics · MCQ
  28. Q28.The maximum value of the function f(x) = 3x3 – 18x2 + 27x – 40 on the set S = {x∈R:x2+30≤11x} is :
    Mathematics · Application of Derivatives · MCQ
  29. Q29.Let f : R → R be defined by f(x) = 1+x2x​,x∈R. Then the range of f is :
    Mathematics · Functions · MCQ
  30. Q30.Let a=i+2j​+4k,b=i+λj​+4k and c=2i+4j​+(λ2−1)k be…
    Mathematics · Vector Algebra · MCQ
  31. Q31.The sum of the real values of x for which the middle term in the binomial expansion of (3x3​+x3​)8 equals 5670 is :
    Mathematics · Binomial Theorem · MCQ
  32. Q32.If ∫x41−x2​​ dx = A(x) (1−x2​)m + C, for a suitable chosen integer m and a function A(x), where C is a constant of integration, then (A(x))m equals :
    Mathematics · Indefinite Integrals · MCQ
  33. Q33.If the system of linear equations 2x + 2y + 3z = a 3x – y + 5z = b x – 3y + 2z = c where a, b, c are non zero real numbers, has more one solution, then :
    Mathematics · Matrices and Determinants · MCQ
  34. Q34.The value of the integral −2∫2​[πx​]+21​sin2x​dx (where [x] denotes the greatest integer less than or equal to x) is
    Mathematics · Definite Integration · MCQ
  35. Q35.The sum of an infinite geometric series with positive terms is 3 and the sum of the cubes of its terms is 1927​.Then the common ratio of this series is :
    Mathematics · Sequences and Series · MCQ
  36. Q36.Let f(x)={−1x2−1,​−2≤x<00≤x≤2​ and g(x)=∣f(x)∣+f(∣x∣).…
    Mathematics · Limits Continuity and Differentiability · MCQ
  37. Q37.Two integers are selected at random from the set {1, 2, ...., 11}. Given that the sum of selected numbers is even, the conditional probability that both the numbers are even is :
    Mathematics · Probability · MCQ
  38. Q38.Let (−2−31​i)3=27x+iy​(i=−1​), where x and y are real numbers, then y − x equals :
    Mathematics · Complex Numbers · MCQ
  39. Q39.Let fk(x) = k1​(sinkx+coskx) for k = 1, 2, 3, ... Then for all x ∈ R, the value of f4(x) − f6(x) is equal to
    Mathematics · Functions · MCQ
  40. Q40.Let a1, a2, . . . . . ., a10 be a G.P. If a1​a3​​=25, then a5​a9​​ equals
    Mathematics · Sequences and Series · MCQ
  41. Q41.The area (in sq. units) of the region bounded by the curve x2 = 4y and the straight line x = 4y – 2 is :
    Mathematics · Area Under the Curves · MCQ
  42. Q42.An electromagnetic wave of intensity 50 Wm–2 enters in a medium of refractive index 'n' without any loss. The ratio of the magnitudes of electric, and the ratio of the magnitudes of magnetic fields of the wave before and after entering…
    Physics · Electromagnetic Waves · MCQ
  43. Q43.Equation of travelling wave on a stretched string of linear density 5 g/m is y = 0.03 sin(450 t – 9x) where distance and time are measured in SI units. The tension in the string is :
    Physics · Waves · MCQ
  44. Q44.A body is projected at t = 0 with a velocity 10 ms–1 at an angle of 60o with the horizontal. The radius of curvature of its trajectory at t = 1s is R. neglecting air resistance and taking acceleration due to gravity g = 10 ms–2, the value…
    Physics · Circular Motion · MCQ
  45. Q45.A liquid of density ρ is coming out of a hose pipe of radius a with horizontal speed υ and hits a mesh. 50% of the liquid passes through the mesh unaffected. 25% looses all of its momentum and 25% comes back with the same…
    Physics · Properties of Matter · MCQ
  46. Q46.In a Wheatstone bridge(see fig.), Resistances P and Q are approximately equal. When R = 400 Ω, the bridge is balanced. On interchanging P and Q, the value of R, for balance, is 405 Ω. The value of X is close to : Includes diagram
    Physics · Current Electricity · MCQ
  47. Q47.In the given circuit the current through Zener Diode is close to: Includes diagram
    Physics · Electronic Devices · MCQ
  48. Q48.An equilateral triangle ABC is cut from a thin solid sheet of wood. (see figure) D, E and F are the mid-points of its sides as shown and G is the centre of the triangle. The moment of inertia of the triangle about an axis passing through G… Includes diagram
    Physics · Rotational Motion · MCQ
  49. Q49.A slab is subjected to two forces F1​​ and F2​​ of same magnitude F as shown in the figure. Force F2​​ is in XY-plane while force F1​​ acts along z = axis… Includes diagram
    Physics · Rotational Motion · MCQ
  50. Q50.A body of mass 1 kg falls freely from a height of 100 m, on a platform mass 3 kg which is mounted on a spring having spring constant k = 1.25 × 106 N/m. The body sticks to the platform and the spring's maximum compression is found…
    Physics · Center of Mass · MCQ
  51. Q51.In the circuit shown, the switch S1 is closed at time t = 0 and the switch S2 is kept open. At some later time(t0), the switch S1 is opened and S2 is closed. The behavior of the current I as a function of time 't' is given by : Includes diagram
    Physics · Alternating Current · MCQ
  52. Q52.The resistance of the meter bridge AB in given figure is 4 Ω. With a cell of emf ε= 0.5 V and rheostat resistance Rh = 2 Ω the null point is obtained at some point J. When the cell is replaced by another one of… Includes diagram
    Physics · Current Electricity · MCQ
  53. Q53.The given graph shows variation (with distance r form centre) of : Includes diagram
    Physics · Electrostatics · MCQ
  54. Q54.Three charges Q, + q and + q are placed at the vertices of a right-angle isosceles triangle as shown below. The net electrostatic energy of the configuration is zero, if the value of Q is : Includes diagram
    Physics · Electrostatics · MCQ
  55. Q55.In the figure shown below, the charge on the left plate of the 10 μ F capacitor is –30 μ C. The charge on the right plate of the 6 μ F capacitor is : Includes diagram
    Physics · Capacitor · MCQ
  56. Q56.The variation of refractive index of a crown glass thin prism with wavelength of the incident light is shown. Which of the following graphs is the correct one, if Dm is the angle of minimum deviation? Includes diagram
    Physics · Geometrical Optics · MCQ
  57. Q57.In a Young's double slit experiment, the path difference, at a certain point on the screen, between two interfering waves is 81​ th of wavelength. The ratio of the intensity at this point to that at the centre of a bright fringe…
    Physics · Wave Optics · MCQ
  58. Q58.Two equal resistances when connected in series to a battery, consume electric power of 60 W. If these resistances are now connected in parallel combination to the same battery, the electric power consumed will be :
    Physics · Current Electricity · MCQ
  59. Q59.The force of interaction between two atoms is given by F = αβ exp (−αktx2​); where x is the distance, k is the Boltzmann constant and T is temperature and α and β are two…
    Physics · Units and Measurements · MCQ
  60. Q60.There are two long co-axial solenoids of same length l. The inner and outer coils have radii r1 and r2 and number of turns per unit length n1 and n2, respectively. The ratio of mutual inductance to the self - inductance of the inner-coil…
    Physics · Electromagnetic Induction · MCQ
  61. Q61.A particle is moving along a circular path with a constant speed of 10 ms–1. What is the magnitude of the change in velocity of the particle, when it moves through an angle of 60o around the centre of the circle?
    Physics · Circular Motion · MCQ
  62. Q62.If the de Broglie wavelength of an electron is equal to the 10–3 times the wavelength of a photon of frequency 6 × 1014 Hz, then the speed of electron is equal to : (Speed of light = 3 × 108 m/s, Planck's constant = 6.63 ×…
    Physics · Dual Nature of Radiation · MCQ
  63. Q63.An object is at a distance of 20 m from a convex lens of focal length 0.3 m. The lens forms an image of the object. If the object moves away from the lens at a speed of 5 m/s, the speed and direction of the image will be :
    Physics · Geometrical Optics · MCQ
  64. Q64.In an experiment, electrons are accelerated, from rest, by applying a voltage of 500 V. Calculate the radius of the path if a magnetic field 100 mT is then applied. [Charge of the electron = 1.6 × 10–19 C Mass of the electron = 9.1 ×…
    Physics · Magnetics · MCQ
  65. Q65.A hydrogen atom, initially in the ground state is excited by absorbing a photon of wavelength 980 A∘​. The radius of the atom in the excited state, in terms of Bohr radius a0 will be : (hc = 12500 eV A∘​…
    Physics · Atoms and Nuclei · MCQ
  66. Q66.A satellite is revolving in a circular orbit at a height h form the earth surface, such that h < < R where R is the earth. Assuming that the effect of earth's atmosphere can be neglected the minimum increase in the speed required so…
    Physics · Gravitation · MCQ
  67. Q67.Ice at –20oC is added to 50 g of water at 40oC. When the temperature of the mixture reaches 0oC, it is found that 20 g of ice is still unmelted. The amount of ice added to the water was close to (Specific heat of water = 4.2J/g/oC Specific…
    Physics · Heat and Thermodynamics · MCQ
  68. Q68.A rigid diatomic ideal gas undergoes an adiabatic process at room temperature. The relation between temperature and volume for this process is TVx = constant, then x is :
    Physics · Heat and Thermodynamics · MCQ
  69. Q69.A gas mixture consists of 3 moles of oxygen and 5 moles of argon at temperature T. considering only translational and rotational modes, the total internal energy of the system is :
    Physics · Heat and Thermodynamics · MCQ
  70. Q70.A particle undergoing simple harmonic motion has time dependent displacement given by x(t) = Asin 90πt​. The ratio of kinetic to potential energy of this particle at t = 210 s will be:
    Physics · Simple Harmonic Motion · MCQ