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2019 · Shift 2

54 questions · JEE Advanced
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2019 · Shift 2

54 questions · JEE Advanced

Chemistry18 questionsMathematics18 questionsPhysics18 questions
Aldehydes Ketones and Carboxylic AcidsChemistry · 3 questionsHydrocarbonsChemistry · 3 questionsStructure of AtomChemistry · 3 questionsP Block ElementsChemistry · 1 questionsD and F Block ElementsChemistry · 1 questionsPolymersChemistry · 1 questionsIsolation of ElementsChemistry · 1 questionsChemical Kinetics and Nuclear ChemistryChemistry · 1 questionsSome Basic Concepts of ChemistryChemistry · 2 questionsCoordination CompoundsChemistry · 1 questionsBasics of Organic ChemistryChemistry · 1 questionsTrigonometric Functions and EquationsMathematics · 3 questionsApplication of DerivativesMathematics · 2 questions3D GeometryMathematics · 1 questionsLimits Continuity and DifferentiabilityMathematics · 2 questionsMatrices and DeterminantsMathematics · 3 questionsVector AlgebraMathematics · 1 questionsPermutations and CombinationsMathematics · 2 questionsDefinite IntegrationMathematics · 1 questionsInverse Trigonometric FunctionsMathematics · 1 questionsParabolaMathematics · 2 questionsElectrostaticsPhysics · 1 questionsWork Power and EnergyPhysics · 1 questionsGeometrical OpticsPhysics · 2 questionsLaws of MotionPhysics · 1 questionsRotational MotionPhysics · 1 questionsWave OpticsPhysics · 1 questionsAtoms and NucleiPhysics · 2 questionsHeat and ThermodynamicsPhysics · 3 questionsDual Nature of RadiationPhysics · 1 questionsUnits and MeasurementsPhysics · 1 questionsMotionPhysics · 1 questionsElectromagnetic InductionPhysics · 1 questionsWavesPhysics · 2 questions
  1. Q1.Choose the correct option(s) for the following reaction sequence Consider Q, R and S as major products. Includes diagram
    Chemistry · Aldehydes Ketones and Carboxylic Acids · Multiple correct
  2. Q2.Choose the correct option(s) that give(s) an aromatic compound as the major product.
    Chemistry · Hydrocarbons · Multiple correct
  3. Q3.The ground state energy of hydrogen atom is − 13.6 eV. Consider an electronic state ψ of He+ whose energy, azimuthal quantum number and magnetic quantum number are − 3.4 eV, 2 and 0, respectively. Which of the following…
    Chemistry · Structure of Atom · Multiple correct
  4. Q4.Consider the following reactions (unbalanced). Zn+Hotconc.H2​SO4​⟶​G+R+XZn+conc.NaOH⟶​T+QG+H2​S+NH4​OH⟶​Z(aprecipitate)+X+Y…
    Chemistry · P Block Elements · Multiple correct
  5. Q5.With reference to aqua-regia, choose the correct option(s).
    Chemistry · D and F Block Elements · Multiple correct
  6. Q6.Choose the correct option(s) from the following.
    Chemistry · Polymers · Multiple correct
  7. Q7.The cyanide process of gold extraction involves leaching out gold from its ore with CN − in the presence of Q in water to form R. Subsequently, R is treated with T to obtain Au and Z. Choose the correct option(s).
    Chemistry · Isolation of Elements · Multiple correct
  8. Q8.Which of the following reactions produce(s) propane as a major product?
    Chemistry · Hydrocarbons · Multiple correct
  9. Q9.The decomposition reaction 2N2​O5​(g)Δ​2N2​O4​(g)+O2​(g) is started in a closed cylinder under isothermal isochoric condition at an initial pressure of 1 atm. After Y × 103 s, the pressure inside…
    Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
  10. Q10.The mole fraction of urea in an aqueous urea solution containing 900 g of water is 0.05. If the density of the solution is 1.2 g cm − 3, then molarity of urea solution is ................ (Given data : Molar masses of urea and water are…
    Chemistry · Some Basic Concepts of Chemistry · Numerical
  11. Q11.Total number of hydroxyl groups present in a molecule of the major product P is .............. Includes diagram
    Chemistry · Hydrocarbons · Numerical
  12. Q12.Total number of cisN−Mn−Cl bond angles (that is Mn−N and Mn−Cl bonds in cis positions) present in a molecule of cis[Mn(en)2​Cl2​] complex is .................. (en = NH2​CH2​CH2​NH2​)
    Chemistry · Coordination Compounds · Numerical
  13. Q13.The amount of water produced (in g) in the oxidation of 1 mole of rhombic sulphur by conc. HNO3​ to a compound with the highest oxidation state of sulphur is .............. (Given data : Molar mass of water = 18 g mol − 1)
    Chemistry · Some Basic Concepts of Chemistry · Numerical
  14. Q14.Total number of isomers, considering both structural and stereoisomers of cyclic ethers with the molecular formula C4​H8​O is .................
    Chemistry · Basics of Organic Chemistry · Numerical
  15. Q15.Consider the Bohr's model of a one-electron atom where the electron moves around the nucleus. In the following List-I contains some quantities for the nth orbit of the atom and List-II contains options showing how they depend on n. Which… Includes diagram
    Chemistry · Structure of Atom · MCQ
  16. Q16.Consider the Bohr's model of a one-electron atom where the electron moves around the nucleus. In the following List-I contains some quantities for the nth orbit of the atom and List-II contains options showing how they depend on n. Which… Includes diagram
    Chemistry · Structure of Atom · MCQ
  17. Q17.List-I includes starting materials and reagents of selected chemical reactions. List-II gives structures of compounds that may be formed as intermediate products and/or final products from the reactions of List-I. Which of the following… Includes diagram
    Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
  18. Q18.List-I includes starting materials and reagents of selected chemical reactions. List-II gives structures of compounds that may be formed as intermediate products and/or final products from the reactions of List-I. Which of the following… Includes diagram
    Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
  19. Q19.For non-negative integers n, let f(n)=k=0∑n​sin2(n+2k+1​π)k=0∑n​sin(n+2k+1​π)sin(n+2k+2​π)​…
    Mathematics · Trigonometric Functions and Equations · Multiple correct
  20. Q20.Let f : R → R be given by f(x)=(x−1)(x−2)(x−5). Define F(x)=0∫x​f(t)dt, x > 0 Then which of the following options is/are correct?
    Mathematics · Application of Derivatives · Multiple correct
  21. Q21.Let, f(x)=x2sinπx​, x > 0 Let x1 < x2 < x3 < ... < xn < ... be all the points of local maximum of f and y1 < y2 < y3 < ... < yn < ... be all the points of local minimum of f. Then…
    Mathematics · Application of Derivatives · Multiple correct
  22. Q22.Three lines L1​:r=λi, λ∈ R, L2​:r=k+μj​, μ∈ R and L3​:r=i+j​+vk, v ∈ R are given. For which point(s) Q on L2 can we find a point P…
    Mathematics · 3D Geometry · Multiple correct
  23. Q23.For a∈R,∣a∣>1, let n→∞lim​(n7/3((an+1)21​+(an+2)21​+...+(an+n)21​)1+32​+...3n​​)=54…
    Mathematics · Limits Continuity and Differentiability · Multiple correct
  24. Q24.Let f : R be a function. We say that f has PROPERTY 1 if h→0lim​∣h∣​f(h)−f(0)​ exists and is finite, and PROPERTY 2 if h→0lim​h2f(h)−f(0)​…
    Mathematics · Limits Continuity and Differentiability · Multiple correct
  25. Q25.Let x ∈ R and let P=​100​120​123​​, Q=​20x​x4x​x06​​…
    Mathematics · Matrices and Determinants · Multiple correct
  26. Q26.P1​=I=​100​010​001​​,P2​=​100​001​010​​,P3​=​010​100​001​​,P4​=​001​100​010​​,P5​=​010​001​100​​,P6​=​001​010​100​​…
    Mathematics · Matrices and Determinants · Multiple correct
  27. Q27.Let a=2i+j​−k and b=i+2j​+k be two vectors. Consider a vector c =αa+βb, α, β∈…
    Mathematics · Vector Algebra · Numerical
  28. Q28.Let |X| denote the number of elements in a set X. Let S = {1, 2, 3, 4, 5, 6} be a sample space, where each element is equally likely to occur. If A and B are independent events associated with S, then the number of ordered pairs (A, B)…
    Mathematics · Permutations and Combinations · Numerical
  29. Q29.Suppose det ​k=0∑n​kk=0∑n​nCk​.k​k=0∑n​nCk​k2k=0∑n​nCk​3k​​=0 holds…
    Mathematics · Matrices and Determinants · Numerical
  30. Q30.Five persons A, B, C, D and E are seated in a circular arrangement. If each of them is given a hat of one of the three colours red, blue and green, then the number of ways of distributing the hats such that the persons seated in adjacent…
    Mathematics · Permutations and Combinations · Numerical
  31. Q31.The value of the integral 0∫π/2​(cosθ​+sinθ​)53cosθ​​dθ equals ..............
    Mathematics · Definite Integration · Numerical
  32. Q32.The value of sec−1(41​∑k=010​sec(127π​+2kπ​)sec(127π​+2(k+1)π​)) in the interval [−4π​,43π​]…
    Mathematics · Inverse Trigonometric Functions · Numerical
  33. Q33.Let f(x) = sin(π cos x) and g(x) = cos(2 π sin x) be two functions defined for x > 0. Define the following sets whose elements are written in the increasing order: X = {x : f(x) = 0}, Y = {x : f'(x) = 0} Z = {x : g(x) = 0}, W =… Includes diagram
    Mathematics · Trigonometric Functions and Equations · MCQ
  34. Q34.Let f(x) = sin(π cos x) and g(x) = cos(2 π sin x) be two functions defined for x > 0. Define the following sets whose elements are written in the increasing order : X = {x : f(x) = 0}, Y = {x : f'(x) = 0} Z = {x : g(x) = 0}, W =… Includes diagram
    Mathematics · Trigonometric Functions and Equations · MCQ
  35. Q35.Let the circles C1 : x2 + y2 = 9 and C2 : (x − 3)2 + (y − 4)2 = 16, intersect at the points X and Y. Suppose that another circle C3 : (x − h)2 + (y − k)2 = r2 satisfies the following conditions : (i) Centre of C3 is collinear with… Includes diagram
    Mathematics · Parabola · MCQ
  36. Q36.Let the circle C1 : x2 + y2 = 9 and C2 : (x − 3)2 + (y − 4)2 = 16, intersect at the points X and Y. Suppose that another circle C3 : (x − h)2 + (y − k)2 = r2 satisfies the following conditions : (i) centre of C3 is collinear with… Includes diagram
    Mathematics · Parabola · MCQ
  37. Q37.An electric dipole with dipole moment 2​p0​​(i+j​) is held fixed at the origin O in the presence of a uniform electric field of magnitude E0. If the potential is constant on a circle of radius R… Includes diagram
    Physics · Electrostatics · Multiple correct
  38. Q38.A small particle of mass m moving inside a heavy, hollow and straight tube along the tube axis undergoes elastic collision at two ends. The tube has no friction and it is closed at one end by a flat surface while the other end is fitted… Includes diagram
    Physics · Work Power and Energy · Multiple correct
  39. Q39.Three glass cylinders of equal height H = 30 cm and same refractive index n = 1.5 are placed on a horizontal surface as shown in figure. Cylinder I has a flat top, cylinder II has a convex top and cylinder III has a concave top. The radii… Includes diagram
    Physics · Geometrical Optics · Multiple correct
  40. Q40.A block of mass 2M is attached to a massless spring with spring-constant k.This block is connected to two other blocks of masses M and 2M using two massless pulleys and strings. The accelerations of the blocks are a1, a2 and a3 as shown in… Includes diagram
    Physics · Laws of Motion · Multiple correct
  41. Q41.A thin and uniform rod of mass M and length L is held vertical on a floor with large friction. The rod is released from rest so that it falls by rotating about its contact-point with the floor without slipping. Which of the following…
    Physics · Rotational Motion · Multiple correct
  42. Q42.In a Young's double slit experiment, the slit separation d is 0.3 mm and the screen distance D is 1 m. A parallel beam of light of wavelength 600 nm is incident on the slits at angle α as shown in figure. On the screen, the point O… Includes diagram
    Physics · Wave Optics · Multiple correct
  43. Q43.A free hydrogen atom after absorbing a photon of wavelength λ a gets excited from the state n = 1 to the state n = 4. Immediately after that the electron jumps to n = m state by emitting a photon of wavelength λ e. Let the…
    Physics · Atoms and Nuclei · Multiple correct
  44. Q44.A mixture of ideal gas containing 5 moles of monatomic gas and 1 mole of rigid diatomic gas is initially at pressure P0, volume V0, and temperature T0. If the gas mixture is adiabatically compressed to a volume 4V0​​, then…
    Physics · Heat and Thermodynamics · Multiple correct
  45. Q45.Suppose a 88226​Ra nucleus at rest and in ground state undergoes α-decay to a 86222​Rn nucleus in its excited state. The kinetic energy of the emitted α particle is found to be 4.44 MeV. 86222​Rn nucleus…
    Physics · Atoms and Nuclei · Numerical
  46. Q46.A monochromatic light is incident from air on a refracting surface of a prism of angle 75 ∘ and refractive index n0​=3​. The other refracting surface of the prism is coated by a thin film of material of refractive index n… Includes diagram
    Physics · Geometrical Optics · Numerical
  47. Q47.A perfectly reflecting mirror of mass M mounted on a spring constitutes a spring-mass system of angular frequency Ω such that h4πMΩ​=1024m−2 with h as Planck's constant. N photons of wavelength λ… Includes diagram
    Physics · Dual Nature of Radiation · Numerical
  48. Q48.An optical bench has 1.5 m long scale having four equal divisions in each cm. While measuring the focal length of a convex lens, the lens is kept at 75 cm mark of the scale and the object pin is kept at 45 cm mark. The image of the object…
    Physics · Units and Measurements · Numerical
  49. Q49.A ball is thrown from ground at an angle θ with horizontal and with an initial speed u0. For the resulting projectile motion, the magnitude of average velocity of the ball up to the point when it hits the ground for the first time… Includes diagram
    Physics · Motion · Numerical
  50. Q50.A 10 cm long perfectly conducting wire PQ is moving with a velocity I cm/s on a pair of horizontal rails of zero resistance. One side of the rails is connected to an inductor L = 1 mH and a resistance R = 1 Ω as shown in figure. The… Includes diagram
    Physics · Electromagnetic Induction · Numerical
  51. Q51.A musical instrument is made using four different metal strings, 1, 2, 3 and 4 with mass per unit length μ, 2 μ, 3 μ and 4 μ respectively. The instrument is played by vibrating the strings by varying the free length in… Includes diagram
    Physics · Waves · MCQ
  52. Q52.A musical instrument is made using four different metal strings, 1, 2, 3 and 4 with mass per unit length μ, 2 μ, 3 μ and 4 μ respectively. The instrument is played by vibrating the strings by varying the free length in… Includes diagram
    Physics · Waves · MCQ
  53. Q53.In a thermodynamic process on an ideal monatomic gas, the infinitesimal heat absorbed by the gas is given by T Δ X where T is temperature of the system and Δ X is the infinitesimal change in a thermodynamic quantity X of the… Includes diagram
    Physics · Heat and Thermodynamics · MCQ
  54. Q54.In a thermodynamic process on an ideal monatomic gas, the infinitesimal heat absorbed by the gas is given by T Δ X where T is temperature of the system and Δ X is the infinitesimal change in a thermodynamic quantity X of the… Includes diagram
    Physics · Heat and Thermodynamics · MCQ