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2009 · Shift 1

60 questions · JEE Advanced
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  4. /2009 · Shift 1

2009 · Shift 1

60 questions · JEE Advanced

Chemistry20 questionsMathematics20 questionsPhysics20 questions
S Block ElementsChemistry · 1 questionsSome Basic Concepts of ChemistryChemistry · 1 questionsGaseous StateChemistry · 1 questionsSurface ChemistryChemistry · 1 questionsSolutionsChemistry · 1 questionsP Block ElementsChemistry · 1 questionsBasics of Organic ChemistryChemistry · 3 questionsPolymersChemistry · 1 questionsSolid StateChemistry · 1 questionsCoordination CompoundsChemistry · 1 questionsSalt AnalysisChemistry · 3 questionsAldehydes Ketones and Carboxylic AcidsChemistry · 3 questionsChemical Bonding and Molecular StructureChemistry · 1 questionsCompounds Containing NitrogenChemistry · 1 questionsComplex NumbersMathematics · 2 questions3D GeometryMathematics · 1 questionsVector AlgebraMathematics · 1 questionsProbabilityMathematics · 3 questionsApplication of IntegrationMathematics · 2 questionsEllipseMathematics · 3 questionsCircleMathematics · 1 questionsPermutations and CombinationsMathematics · 1 questionsTrigonometric Functions and EquationsMathematics · 1 questionsDifferential EquationsMathematics · 1 questionsLimits Continuity and DifferentiabilityMathematics · 1 questionsMatrices and DeterminantsMathematics · 3 questionsLaws of MotionPhysics · 1 questionsImpulse and MomentumPhysics · 2 questionsElectromagnetic InductionPhysics · 1 questionsElectrostaticsPhysics · 3 questionsSimple Harmonic MotionPhysics · 1 questionsGeometrical OpticsPhysics · 2 questionsCurrent ElectricityPhysics · 1 questionsHeat and ThermodynamicsPhysics · 1 questionsRotational MotionPhysics · 1 questionsDual Nature of RadiationPhysics · 2 questionsAtoms and NucleiPhysics · 4 questionsGravitationPhysics · 1 questions
  1. Q1.The compound(s) formed upon combustion of sodium metal in excess air is (are)
    Chemistry · S Block Elements · Multiple correct
  2. Q2.Given that the abundances of isotopes 54Fe, 56Fe and 57Fe are 5%, 90% and 5%, respectively, the atomic mass of Fe is :
    Chemistry · Some Basic Concepts of Chemistry · MCQ
  3. Q3.The term that corrects for the attractive forces present in a real gas in the van der Waals equation is
    Chemistry · Gaseous State · MCQ
  4. Q4.Among the electrolytes Na 2​ SO 4​, CaCl 2​, Al 2​(SO 4​) 3​ and NH 4​ Cl, the most effective coagulating agent for Sb 2​ S 3​ sol is
    Chemistry · Surface Chemistry · MCQ
  5. Q5.The Henry's law constant for the solubility of N 2​ gas in water at 298 K is 1.0 × 10 5 atm. The mole fraction of N 2​ in air is 0.8. The number of moles of N 2​ from air dissolved in 10 moles of water at 298 K and…
    Chemistry · Solutions · MCQ
  6. Q6.The reaction of P 4​ with X leads selectively to P 4​ O 6​. The X is
    Chemistry · P Block Elements · MCQ
  7. Q7.The correct acidity order of the following is Includes diagram
    Chemistry · Basics of Organic Chemistry · MCQ
  8. Q8.Among cellulose, poly(vinyl chloride), nylon and natural rubber, the polymer in which the intermolecular force of attraction is weakest is
    Chemistry · Polymers · MCQ
  9. Q9.The IUPAC name of the following compound is Includes diagram
    Chemistry · Basics of Organic Chemistry · MCQ
  10. Q10.The correct statement(s) regarding defects in solids is (are)
    Chemistry · Solid State · Multiple correct
  11. Q11.The compound(s) that exhibit(s) geometrical isomerism is(are)
    Chemistry · Coordination Compounds · Multiple correct
  12. Q12.The correct statement(s) about the compound H3​C(HO)HC−CH=CH−CH(OH)CH3​  (X) is (are)
    Chemistry · Basics of Organic Chemistry · Multiple correct
  13. Q13.p-Amino-N, N-dimethylaniline is added to a strongly acidic solution of X. The resulting solution is treated with a few drops of aqueous solution of Y to yield blue colouration due to the formation of methylene blue. Treatment of the…
    Chemistry · Salt Analysis · MCQ
  14. Q14.p-Amino-N, N-dimethylaniline is added to a strongly acidic solution of X. The resulting solution is treated with a few drops of aqueous solution of Y to yield blue colouration due to the formation of methylene blue. Treatment of the…
    Chemistry · Salt Analysis · MCQ
  15. Q15.p-Amino-N, N-dimethylaniline is added to a strongly acidic solution of X. The resulting solution is treated with a few drops of aqueous solution of Y to yield blue colouration due to the formation of methylene blue. Treatment of the…
    Chemistry · Salt Analysis · MCQ
  16. Q16.A carbonyl compound P, which gives positive iodoform test, undergoes reaction with MeMgBr followed by dehydration to give an olefin Q. Ozonolysis of Q leads to a dicarbonyl compound R, which undergoes intramolecular aldol reaction to give… Includes diagram
    Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
  17. Q17.A carbonyl compound P, which gives positive iodoform test, undergoes reaction with MeMgBr followed by dehydration to give an olefin Q. Ozonolysis of Q leads to a dicarbonyl compound R, which undergoes intramolecular aldol reaction to… Includes diagram
    Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
  18. Q18.A carbonyl compound P, which gives positive iodoform test, undergoes reaction with MeMgBr followed by dehydration to give an olefin Q. Ozonolysis of Q leads to a dicarbonyl compound R, which undergoes intramolecular aldol reaction to… Includes diagram
    Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
  19. Q19.Match each of the diatomic molecules in Column I with its property/properties in Column II: Includes table
    Chemistry · Chemical Bonding and Molecular Structure · MCQ
  20. Q20.Match each of the compounds in Column I with its characteristic reaction(s) in Column II. Includes table
    Chemistry · Compounds Containing Nitrogen · MCQ
  21. Q21.Let z=x+iy be a complex number where x and y are integers. Then the area of the rectangle whose vertices are the roots of the equation zz3+zz3=350 is
    Mathematics · Complex Numbers · MCQ
  22. Q22.Let z=cosθ+isinθ. Then the value of m=1∑15​Imolimits(z2m−1)atθ=2∘ is
    Mathematics · Complex Numbers · MCQ
  23. Q23.Let P(3,2,6) be a point in space and Q be a point on the line r=(i−j​+2k)+μ(−3i+j​+5k) Then the value of μ for which the…
    Mathematics · 3D Geometry · MCQ
  24. Q24.If a,b,c and d are unit vectors such that (a×b).(c×d)=1 and a.c=21​…
    Mathematics · Vector Algebra · MCQ
  25. Q25.A fair die is tossed repeatedly until a six is obtained. Let X denote the number of tosses required.The conditional probability that X≥6 given X>3 equals :
    Mathematics · Probability · MCQ
  26. Q26.A fair die is tossed repeatedly until a six is obtained. Let X denote the number of tosses required.The probability that X≥3 equals :
    Mathematics · Probability · MCQ
  27. Q27.A fair die is tossed repeatedly until a six is obtained. Let X denote the number of tosses required.The probability that X = 3 equals
    Mathematics · Probability · MCQ
  28. Q28.Area of the region bounded by the curve y=ex and lines x=0 and y=e is
    Mathematics · Application of Integration · Multiple correct
  29. Q29.Let f be a non-negative function defined on the interval [0,1]. If 0∫x​1−(f′(t))2dt​=0∫x​f(t)dt,0≤x≤1, and f(0)=0, then
    Mathematics · Application of Integration · MCQ
  30. Q30.Match the conics in Column I with the statements/expressions in Column II : Includes table
    Mathematics · Ellipse · MCQ
  31. Q31.In a triangle ABC with fixed base BC, the vertex A moves such that cosB+cosC=4sin22A​. If a,b and c denote the lengths of the sides of the triangle opposite to the angles A,B and C, respectively,…
    Mathematics · Ellipse · Multiple correct
  32. Q32.The line passing through the extremity A of the major axis and extremity B of the minor axis of the ellipse x2+9y2=9 meets its auxiliary circle at the point M. Then the area of the triangle with vertices at A, M and…
    Mathematics · Ellipse · MCQ
  33. Q33.Tangents drawn from the point P (1, 8) to the circle x2+y2−6x−4y−11=0 touch the circle at the points A and B. The equation of the cirumcircle of the triangle PAB is
    Mathematics · Circle · MCQ
  34. Q34.The number of seven digit integers, with sum of the digits equal to 10 and formed by using the digits 1, 2 and 3 only, is
    Mathematics · Permutations and Combinations · MCQ
  35. Q35.If 2sin4x​+3cos4x​=51​, then
    Mathematics · Trigonometric Functions and Equations · Multiple correct
  36. Q36.Match the statements/expressions in Column I with the open intervals in Column II : Includes table
    Mathematics · Differential Equations · MCQ
  37. Q37.Let L=x→0lim​x4a−a2−x2​−4x2​​,a>0. If L is finite, then
    Mathematics · Limits Continuity and Differentiability · Multiple correct
  38. Q38.Let A be the set of all 3 × 3 symmetric matrices all of whose entries are either 0 or 1. Five of these entries are 1 and four of them are 0.The number of matrices in A is
    Mathematics · Matrices and Determinants · MCQ
  39. Q39.Let A be the set of all 3 × 3 symmetric matrices all of whose entries are either 0 or 1. Five of these entries are 1 and four of them are 0.The number of matrices A in A for which the system of linear equations A​xyz​​=​100​​…
    Mathematics · Matrices and Determinants · MCQ
  40. Q40.Let A be the set of all 3 × 3 symmetric matrices all of whose entries are either 0 or 1. Five of these entries are 1 and four of them are 0.The number of matrices A in A for which the system of linear equations A​xyz​​=​100​​…
    Mathematics · Matrices and Determinants · MCQ
  41. Q41.A block of base 10 cm × 10 cm and height 15 cm is kept on an inclined plane. The coefficient of friction between them is 3​. The inclination θ of this inclined plane from the horizontal plane is gradually increased from 0∘.…
    Physics · Laws of Motion · MCQ
  42. Q42.Look at the drawing given in the figure below which has been drawn with ink of uniform line-thickness. The mass of ink used to draw each of the two inner circles, and each of the two line segments is m. the mass of the ink used to draw… Includes diagram
    Physics · Impulse and Momentum · MCQ
  43. Q43.The figure shows certain wire segments joined together to form a coplanar loop. The loop is placed in a perpendicular magnetic field in the direction going into the plane of the figure. The magnitude of the field increases with time. I1​… Includes diagram
    Physics · Electromagnetic Induction · MCQ
  44. Q44.Two small particles of equal masses start moving in opposite directions from a point A in a horizontal circular orbit. Their tangential velocities are v and 2 v, respectively, as shown in the figure. Between collisions, the particles… Includes diagram
    Physics · Impulse and Momentum · MCQ
  45. Q45.A disk of radius 4a​ having a uniformly distributed charge 6C is placed in the xy-plane with its centre at (− a/2, 0, 0). A rod of length a carrying a uniformly distributed charge 8C is placed on the x-axis from x = a/4 to x =… Includes diagram
    Physics · Electrostatics · MCQ
  46. Q46.Three concentric metallic spherical shells of radii R,2R,3R are given charges Q1​,Q2​,Q3​, respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given…
    Physics · Electrostatics · MCQ
  47. Q47.The x-t graph of a particle undergoing simple harmonic motion is shown in the figure. The acceleration of the particle at t=4/3 s is Includes diagram
    Physics · Simple Harmonic Motion · MCQ
  48. Q48.A ball is dropped from a height of 20 m above the surface of water in a lake. The refractive index of water is 4/3. A fish inside the lake, in the line of fall of the ball, is looking at the ball. At an instant, when the ball is 12.8 m…
    Physics · Geometrical Optics · MCQ
  49. Q49.For the circuit shown in the figure Includes diagram
    Physics · Current Electricity · Multiple correct
  50. Q50.CV​ and CP​ denote the molar specific heat capacities of a gas at constant volume and constant pressure, respectively. Then
    Physics · Heat and Thermodynamics · Multiple correct
  51. Q51.A student performed the experiment of determination of focal length of a concave mirror by u-v method using an optical bench of length 1.5 m. The focal length of the mirror used is 24 cm. The maximum error in the location of the image…
    Physics · Geometrical Optics · Multiple correct
  52. Q52.If the resultant of all the external forces acting on a system of particles is zero, then from an inertial frame, one can surely say that
    Physics · Rotational Motion · Multiple correct
  53. Q53.When a particle is restricted to move along x-axis between x = 0 and x = a, where a is of nanometer dimension, its energy can take only certain specific values. The allowed energies of the particle moving in such a restricted region,…
    Physics · Dual Nature of Radiation · MCQ
  54. Q54.When a particle is restricted to move along x-axis between x = 0 and x = a, where a is of nanometer dimension, its energy can take only certain specific values. The allowed energies of the particle moving in such a restricted region,…
    Physics · Dual Nature of Radiation · MCQ
  55. Q55.When a particle is restricted to move along x-axis between x = 0 and x = a, where a is of nanometer dimension, its energy can take only certain specific values. The allowed energies of the particle moving in such a restricted region,…
    Physics · Atoms and Nuclei · MCQ
  56. Q56.Scientists are working hard to develop nuclear fusion reactor. Nuclei of heavy hydrogen, 12​ H, known as deuteron and denoted by D, can be thought of as a candidate for fusion reactor. The D-D reaction is 12​ H + 12​ H →23​…
    Physics · Atoms and Nuclei · MCQ
  57. Q57.Scientists are working hard to develop nuclear fusion reactor. Nuclei of heavy hydrogen, 12​ H, known as deuteron and denoted by D, can be thought of as a candidate for fusion reactor. The D-D reaction is 12​ H + 12​ H →23​…
    Physics · Atoms and Nuclei · MCQ
  58. Q58.Scientists are working hard to develop nuclear fusion reactor. Nuclei of heavy hydrogen, 12​ H, known as deuteron and denoted by D, can be thought of as a candidate for fusion reactor. The D-D reaction is 12​ H + 12​ H →23​…
    Physics · Atoms and Nuclei · MCQ
  59. Q59.Column II shows five systems in which two objects are labelled as X and Y. Also in each case a point P is shown. Column I gives some statements about X and/or Y. Match these statements to the appropriate system(s) from Column II: Includes table Includes diagram
    Physics · Gravitation · MCQ
  60. Q60.Six point charges, each of the same magnitude q, are arranged in different manners as shown in Column II. In each case, a point M and a line PQ passing through M are shown. Let E be the electric field and V be the electric potential at M… Includes table Includes diagram
    Physics · Electrostatics · MCQ