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2019 · Shift 1

54 questions · JEE Advanced
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  4. /2019 · Shift 1

2019 · Shift 1

54 questions · JEE Advanced

Chemistry18 questionsMathematics18 questionsPhysics18 questions
Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questionsD and F Block ElementsChemistry · 2 questionsIsolation of ElementsChemistry · 1 questionsElectrochemistryChemistry · 1 questionsThermodynamicsChemistry · 2 questionsP Block ElementsChemistry · 3 questionsChemical Kinetics and Nuclear ChemistryChemistry · 2 questionsHydrocarbonsChemistry · 1 questionsBiomoleculesChemistry · 1 questionsChemical Bonding and Molecular StructureChemistry · 1 questionsSolutionsChemistry · 1 questionsChemical EquilibriumChemistry · 1 questionsCompounds Containing NitrogenChemistry · 1 questionsComplex NumbersMathematics · 2 questionsMatrices and DeterminantsMathematics · 2 questionsCircleMathematics · 2 questionsApplication of IntegrationMathematics · 1 questionsDifferential EquationsMathematics · 1 questionsEllipseMathematics · 1 questionsProperties of TriangleMathematics · 1 questionsQuadratic Equation and InequalitiesMathematics · 1 questions3D GeometryMathematics · 2 questionsProbabilityMathematics · 2 questionsLimits Continuity and DifferentiabilityMathematics · 1 questionsDefinite IntegrationMathematics · 1 questionsSequences and SeriesMathematics · 1 questionsAtoms and NucleiPhysics · 1 questionsProperties of MatterPhysics · 4 questionsElectrostaticsPhysics · 2 questionsGravitationPhysics · 1 questionsElectromagnetic InductionPhysics · 1 questionsGeometrical OpticsPhysics · 2 questionsHeat and ThermodynamicsPhysics · 1 questionsCurrent ElectricityPhysics · 2 questionsUnits and MeasurementsPhysics · 1 questionsCapacitorPhysics · 1 questionsWork Power and EnergyPhysics · 1 questionsWavesPhysics · 1 questions
  1. Q1.The correct order of acid strength of the following carboxylic acids is Includes diagram
    Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
  2. Q2.The green colour produced in the borax bead test of a chromium (III) salt is due to
    Chemistry · D and F Block Elements · MCQ
  3. Q3.Calamine, malachite, magnetic and cryolite, respectively, are
    Chemistry · Isolation of Elements · MCQ
  4. Q4.Molar conductivity (Λ m) of aqueous solution of sodium stearate, which behaves as a strong electrolyte, is recorded at varying concentrations (C) of sodium stearate. Which one of the following plots provides the correct…
    Chemistry · Electrochemistry · MCQ
  5. Q5.Choose the reaction(s) from the following options, for which the standard enthalpy of reaction of equal to the standard enthalpy of formation.
    Chemistry · Thermodynamics · Multiple correct
  6. Q6.A tin chloride Q undergoes the following reactions (not balanced) Q+Cl−→XQ+Me3​N→YQ+CuCl2​→Z+CuCl X is a monoanion having pyramidal geometry. Both Y and Z are neutral compounds. Choose the correct option(s).
    Chemistry · P Block Elements · Multiple correct
  7. Q7.In the decay sequence. x1, x2, x3 and x4 are particles/radiation emitted by the respective isotopes. The correct option(s) is(are) Includes diagram
    Chemistry · Chemical Kinetics and Nuclear Chemistry · Multiple correct
  8. Q8.Which of the following statement(s) is(are) correct regarding the root mean square speed (Urms) and average translational kinetic energy (Eav) of a molecule in a gas at equilibrium?
    Chemistry · Thermodynamics · Multiple correct
  9. Q9.Choose the correct option(s) for the following set of reactions. Includes diagram
    Chemistry · Hydrocarbons · Multiple correct
  10. Q10.Which of the following statement(s) is(are) true?
    Chemistry · Biomolecules · Multiple correct
  11. Q11.Fusion of MnO2​ with KOH in presence of O2​ produces a salt W. Alkaline solution of W upon electrolytic oxidation yields another salt X. The manganese containing ions present in W and X, respectively, are Y and Z. Correct…
    Chemistry · D and F Block Elements · Multiple correct
  12. Q12.Each of the following options contains a set of four molecules. Identify the option(s) where all four molecules posses permanent dipole moment at room temperature.
    Chemistry · Chemical Bonding and Molecular Structure · Multiple correct
  13. Q13.Among B2​H6​, B3​N3​H6​, N2​O, N2​O4​, H2​S2​O3​ and H2​S2​O8​, the total number of molecules containing covalent bond between two atoms of the same kind is ...................
    Chemistry · P Block Elements · Numerical
  14. Q14.On dissolving 0.5 g of a non-volatile non-ionic solute to 39 g of benzene, its vapor pressure decreases from 650 mmHg to 640 mmHg. The depression of freezing point of benzene (in K) upon addition of the solute is ............. (Given data:…
    Chemistry · Solutions · Numerical
  15. Q15.Consider the kinetic data given in the following table for the reaction A + B + C → Product. The rate of the reaction for [A] = 0.15 mol dm-3, [B] = 0.25 mol dm-3 and [C] = 0.15 mol dm-3 is found to be Y × 10-5 mol dm-3s-1. The… Includes diagram
    Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
  16. Q16.For the following reaction, the equilibrium constant Kc at 298 K is 1.6 × 1017. Fe2+(aq) + S2−(aq) ⇌ FeS(s) When equal volumes of 0.06 M Fe2+(aq) and 0.2 M S2−(aq) solutions are mixed, the equilibrium…
    Chemistry · Chemical Equilibrium · Numerical
  17. Q17.At 143 K, the reaction of XeF4​ with O2​F2​ produces a xenon compound Y. The total number of lone pair(s) of electrons present on the whole molecule of Y is .................
    Chemistry · P Block Elements · Numerical
  18. Q18.Schemes 1 and 2 describe the conversion of P to Q and R to S, respectively. Scheme 3 describes the synthesis of T from Q and S. The total number of Br atoms in a molecule of T is ................. Includes diagram
    Chemistry · Compounds Containing Nitrogen · Numerical
  19. Q19.Let S be the set of all complex numbers z satisfying ∣z−2+i∣≥5​. If the complex number z0 is such that ∣z0​−1∣1​ is the maximum of the set {∣z0​−1∣1​:z∈S}…
    Mathematics · Complex Numbers · MCQ
  20. Q20.Let M=[sin4θ1+cos2θ​−1−sin2θcos4θ​]=αI+βM−1, where α=α…
    Mathematics · Matrices and Determinants · MCQ
  21. Q21.A line y = mx + 1 intersects the circle (x−3)2+(y+2)2= 25 at the points P and Q. If the midpoint of the line segment PQ has x-coordinate −53​, then which one of the following options is correct?
    Mathematics · Circle · MCQ
  22. Q22.The area of the region {(x, y) : xy ≤ 8, 1 ≤ y ≤ x2} is
    Mathematics · Application of Integration · MCQ
  23. Q23.Let Γ denote a curve y = y(x) which is in the first quadrant and let the point (1, 0) lie on it. Let the tangent to I` at a point P intersect the y-axis at YP. If PYP has length 1 for each point P on I`, then which of the following…
    Mathematics · Differential Equations · Multiple correct
  24. Q24.Define the collections {E1, E2, E3, ...} of ellipses and {R1, R2, R3.....} of rectangles as follows : E1​:9x2​+4y2​=1 R1 : rectangle of largest area, with sides parallel to the axes, inscribed in E1; En :…
    Mathematics · Ellipse · Multiple correct
  25. Q25.In a non-right-angled triangle Δ PQR, let p, q, r denote the lengths of the sides opposite to the angles At P, Q, R respectively. The median from R meets the side PQ at S, the perpendicular from P meets the side QR at E, and RS and…
    Mathematics · Properties of Triangle · Multiple correct
  26. Q26.Let α and β be the roots of x2−x−1=0, with α>β. For all positive integers n, define an​=α−βαn−βn​,n≥1b1​=1andbn​=an−1​+an+1​,n≥2…
    Mathematics · Quadratic Equation and Inequalities · Multiple correct
  27. Q27.Let L1 and L2 denote the lines r=i+λ(−i+2j​+2k), λ∈ R and r=μ(2i−j​+2k),μ∈R respectively. If L3 is a line which is…
    Mathematics · 3D Geometry · Multiple correct
  28. Q28.There are three bags B1, B2 and B3. The bag B1 contains 5 red and 5 green balls, B2 contains 3 red and 5 green balls, and B3 contains 5 red and 3 green balls. Bags B1, B2 and B3 have probabilities 103​, 103​ and 104​…
    Mathematics · Probability · Multiple correct
  29. Q29.Let M=​013​12b​a31​​ and adj M=​−18−5​1−63​−12−1​​…
    Mathematics · Matrices and Determinants · Multiple correct
  30. Q30.Let f : R → R be given by f(x)=⎩⎨⎧​x5+5x4+10x3+10x2+3x+1,x2−x+1,32​x3−4x2+7x−38​,(x−2)loge​(x−2)−x+310​,​x<0;0≤x<1;1≤x<3;x≥3;​⎭⎬⎫​…
    Mathematics · Limits Continuity and Differentiability · Multiple correct
  31. Q31.Let S be the sample space of all 3 × 3 matrices with entries from the set {0, 1}. Let the events E1 and E2 be given by E1 = {A ∈ S : det A = 0} and E2 = {A ∈ S : sum of entries of A is 7}. If a matrix is chosen at random…
    Mathematics · Probability · Numerical
  32. Q32.Let the point B be the reflection of the point A(2, 3) with respect to the line 8x−6y−23=0. Let ΓA​ and ΓB​ be circles of radii 2 and 1 with centres A and B respectively. Let T be a common tangent to the circles ΓA​…
    Mathematics · Circle · Numerical
  33. Q33.Let ωe1 be a cube root of unity. Then the minimum of the set {​a+bω+cω2​2:a,b,c distinct non-zero integers} equals ..................
    Mathematics · Complex Numbers · Numerical
  34. Q34.If I=π2​−π/4∫π/4​(1+esinx)(2−cos2x)dx​, then 27I2 equals .................
    Mathematics · Definite Integration · Numerical
  35. Q35.Three lines are given by r=λi,λ∈R, r=μ(i+j​),μ∈R and r=v(i+j​+k),v∈R Let the lines cut the plane x + y + z = 1 at the points A, B…
    Mathematics · 3D Geometry · Numerical
  36. Q36.Let AP(a; d) denote the set of all the terms of an infinite arithmetic progression with first term a and common difference d > 0. If AP(1;3)∩AP(2;5)∩AP(3;7) = AP(a ; d), then a + d equals ..............
    Mathematics · Sequences and Series · Numerical
  37. Q37.In a radioactive sample, 1940​K nuclei either decay into stable 2040​Ca nuclei with decay constant 4.5 × 10-10 per year or into stable 1840​Ar nuclei with decay constant 0.5 × 10-10 per year. Given…
    Physics · Atoms and Nuclei · MCQ
  38. Q38.A current carrying wire heats a metal rod. The wire provides a constant power (P) to the rod. The metal rod is enclosed in an insulated container. It is observed that the temperature (T) in the metal rod changes with time (t) as T(t)=T0​(1+βt41​)…
    Physics · Properties of Matter · MCQ
  39. Q39.A thin spherical insulating shell of radius R carries a uniformly distributed charge such that the potential at its surface is V0. A hole with a small area α 4 π R2(α << 1) is made on the shell without affecting the…
    Physics · Electrostatics · MCQ
  40. Q40.Consider a spherical gaseous cloud of mass density ρ(r) in free space where r is the radial distance from its center. The gaseous cloud is made of particles of equal mass m moving in circular orbits about the common center with the…
    Physics · Gravitation · MCQ
  41. Q41.A cylindrical capillary tube of 0.2 mm radius is made by joining two capillaries T1 and T2 of different materials having water contact angles of 0 ∘ and 60 ∘, respectively. The capillary tube is dipped vertically in water in… Includes diagram
    Physics · Properties of Matter · Multiple correct
  42. Q42.A conducting wire of parabolic shape, initially y = x2, is moving with velocity v=v0​i in a non-uniform magnetic field B=B0​(1+(Ly​)β)k, as shown in figure.… Includes diagram
    Physics · Electromagnetic Induction · Multiple correct
  43. Q43.A thin convex lens is made of two materials with refractive indices n1 and n2, as shown in the figure. The radius of curvature of the left and right spherical surfaces are equal. f is the focal length of the lens when n1 = n2 = n. The… Includes diagram
    Physics · Geometrical Optics · Multiple correct
  44. Q44.One mole of a monatomic ideal gas goes through a thermodynamic cycle, as shown in the volume versus temperature (V-T) diagram. The correct statement(s) is/are [R is the gas constant] Includes diagram
    Physics · Heat and Thermodynamics · Multiple correct
  45. Q45.In the circuit shown, initially there is no charge on the capacitors and keys S1 and S2 are open. The values of the capacitors are C1 = 10 μ F, C2 = 30 μ F and C3 = C4 = 80 μ F. Which of the statement(s) is/are correct? Includes diagram
    Physics · Current Electricity · Multiple correct
  46. Q46.A charged shell of radius R carries a total charge Q. Given ϕ as the flux of electric field through a closed cylindrical surface of height h, radius r and with its center same as that of the shell. Here, center of the cylinder is a…
    Physics · Electrostatics · Multiple correct
  47. Q47.Two identical moving coil galvanometers have 10 Ω resistance and full scale deflection at 2 μ A current. One of them is converted into a voltmeter of 100 mV full scale reading and the other into an ammeter of 1 mA full scale…
    Physics · Current Electricity · Multiple correct
  48. Q48.Let us consider a system of units in which mass and angular momentum are dimensionless. If length has dimension of L, which of the following statement(s) is/are correct?
    Physics · Units and Measurements · Multiple correct
  49. Q49.A parallel plate capacitor of capacitance C has spacing d between two plates having area A. The region between the plates is filled with N dielectric layers, parallel to its plates, each with thickness, δ=Nd​. The…
    Physics · Capacitor · Numerical
  50. Q50.A planar structure of length L and width W is made of two different optical media of refractive indices n1 = 1.5 and n2 = 1.44 as shown in figure. If L >> W, a ray entering from end AB will emerge from end CD. CD only if the total… Includes diagram
    Physics · Geometrical Optics · Numerical
  51. Q51.A block of weight 100 N is suspended by copper and steel wires of same cross-sectional area 0.5 cm2 and length 3​ m and 1 m, respectively. Their other ends are fixed on a ceiling as shown in figure. The angles subtended by copper… Includes diagram
    Physics · Properties of Matter · Numerical
  52. Q52.A liquid at 30 ∘ C is poured very slowly into a Calorimeter that is at temperature of 110 ∘ C. The boiling temperature of the liquid is 80 ∘ C. It is found that the first 5 gm of the liquid completely evaporates. After…
    Physics · Properties of Matter · Numerical
  53. Q53.A particle is moved along a path AB-BC-CD-DE-EF-FA, as shown in figure, in presence of a force F=(αyi+2αxj​) N, where x and y are in meter and α=− 1 Nm-1. The work done on the particle by this… Includes diagram
    Physics · Work Power and Energy · Numerical
  54. Q54.A train S1, moving with a uniform velocity of 108 km/h, approaches another train S2 standing on a platform. An observer O moves with a uniform velocity of 36 km/h towards S2, as shown in figure. Both the trains are blowing whistles of same… Includes diagram
    Physics · Waves · Numerical