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WBJEE 2019

Browse the complete Chemistry, Mathematics, and Physics question set from the WBJEE 2019 paper, question by question. Each question shows a quick preview so you can jump straight to the topic or subject you want to revise. Click through to attempt the full question in practice mode, or head back to the paper-wise list to download the entire paper as a PDF.

This paper has 155 questions in total - 63 easy (41%), 78 moderate (50%) and 14 tough (9%). That's an easier-than-usual mix for this exam - aim to clear it quickly and save time for the harder papers. By subject: Mathematics 43% easy, 52% moderate, 5% tough; Physics 33% easy, 60% moderate, 8% tough; Chemistry 45% easy, 38% moderate, 18% tough.

Chemistry questions were spread across 19 chapters, with General Organic Chemistry (5), Chemical Kinetics (4), and d and f Block Elements (4) carrying the most weight. Mathematics questions were spread across 28 chapters, with Limits (6), Straight Lines (6), and Complex Number (5) carrying the most weight. Physics questions were spread across 25 chapters, with Magnetic Effects of Current (5), Current Electricity (3), and Alternating Current (2) carrying the most weight.

Chemistry

  1. 1One of the products of the following reaction is . Structure of is2019Preparation and Properties of Carboxylic Acids
  2. 2The compound is2019Preparation and Properties of Acid Derivatives
  3. 3Cyclopentanol on reaction with NaH followed by and produces a/an2019Reactions of Alcohols
  4. 4The compound, which evolves carbon dioxide on treatment with aqueous solution of sodium bicarbonate at is2019Preparation and Properties of Acid Derivatives
  5. 5The indicated atom is not a nucleophilic site in2019Attacking reagents
  6. 6The charge carried by 1 millimole of ions is 193 coulombs. The value of is2019Cells and Electrode Potential, Nernst Equation
  7. 7Which of the following mixtures will have the lowest pH at 298 K?2019PH of solutions
  8. 8Consider the following two first order reactions occurring at 298 K with same initial concentration of :(1) rate constant, (2) ; half-life, 2019Integrated rate laws
  9. 9For the equilibrium, which of the following is correct?2019Laws of Thermochemistry and Enthalpy Change
  10. 10For a van der Waals' gas, the term represents some2019Real Gases and Van der Waal's Equation
  11. 11In the equilibrium, if at a given temperature the concentrations of the reactants are increased, the value of the cquilibrium constant, , wi2019Law of Mass Action, Equilibrium Constant (Kc and Kp) and its Application
  12. 12If electrolysis of aqueous CuSO solution is carried out using Cu-electrodes, the reaction taking place at the anode is2019Concentration cell
  13. 13Which one of the following electronic arrangements is absurd?2019Electronic configuration
  14. 14The quantity corresponds to2019Kinetic theory of gases
  15. 15In the crystalline solid of molar mass 250 g , the percentage of anhydrous salt is 64 by weight. The value of is2019Mole concept
  16. 16At S.T.P. the volume of of a gas is . The gas is2019Mole concept
  17. 17The half-life period of is 60 days. The radioactivity after 180 days will be2019Integrated rate laws
  18. 18Consider, the radioactive disintegration , The sequence of emission can be2019Arrhenius theory
  19. 19The second ionisation energy of the following elements follows the order2019F-Block elements
  20. 20The melting points of (i) BeCl (ii) and (iii) follows the order2019Properties of D-block elements
  21. 21Which of these species will have non-zero magnetic moment?2019Quantum mechanical model
  22. 22The first electron affinity of and will be of the order2019Periodic properties
  23. 23The H angle in ammonia is while the angle in phosphine is Relative to phosphine, the -character of the lone-pair on ammonia is expected to b2019Hybridisation and VSEPR Theory
  24. 24The reactive species in chlorine bleach is2019Halogens and Its Compounds
  25. 25The conductivity measurement of a coordination compound of cobalt (III) shows that it dissociates into 3 ions in solution. The compound is2019Werner's theory and Valence Bond Theory
  26. 26In the Bayer's process, the leaching of alumina is done by using2019Extraction of Metals
  27. 27Which atomic species cannot be used as a nuclear fuel?2019F-Block elements
  28. 28The molecule/molecules that has/have delocalised lone pair(s) of electrons is/are2019Conjugation and Aromaticity
  29. 29The conformations of -butane, commonly known as eclipsed, gauche and anti-conformations can be interconverted by2019Isomerism of Organic Compounds
  30. 30The correct order of the addition reaction rates of halogen acids with ethylene is2019Halogens and Its Compounds
  31. 31The total number of isomeric linear dipeptides which can be synthesised from racemic alanine is2019Isomerism of Organic Compounds
  32. 32The kinetic study of a reaction like at provides the following curve, where concentration is taken in mol and time in min. Identify the corr2019Rate law and rate constant
  33. 33At constant pressure, the heat of formation of a compound is not dependent on temperature, when2019First Law and Basic Fundamentals of Thermodynamics
  34. 34A copper coin was electroplated with and then heated at high temperature until there is a change in colour. What will be the resulting colou2019Properties of D-block elements
  35. 35Oxidation of allyl alcohol with a peracid gives a compound of molecular formula , which contains an asymmetric carbon atom. The structure of2019Reactions of Alcohols
  36. 36Haloform reaction with and will be responded by2019Properties and Preparation of Alkynes
  37. 37Identify the correct statement(s):2019First Law and Basic Fundamentals of Thermodynamics
  38. 38Compounds with spin-only magnetic moment equivalent to five unpaired electrons are2019Crystal Field Theory
  39. 39Which of the following chemicals may be used to identify three unlabelled beakers containing conc.NaOH, conc. and water?2019Preliminary Tests
  40. 40The compound(s), capable of producing achiral compound on heating at is/are2019Isomerism of Organic Compounds

Mathematics

  1. 1Preview not available - open to view this question.2019Existance of Limit
  2. 2If then is equal to (assuming is a arbitrary real constant)2019Integration by Parts
  3. 3is an equation of a family of2019Integration by Substitution
  4. 4The value of the integration2019Properties of Definite Integration
  5. 5The value of is equal to2019Algebraic and Rational Limits
  6. 6If then is equal to2019Definite Integration by Substitution
  7. 7The value of the integral is equal to2019Properties of Definite Integration
  8. 8Preview not available - open to view this question.2019Definite as Limit of Sum
  9. 9The general solution of the differential equation is is an arbitrary constant2019Homogeneous DE
  10. 10General solution of is is an arbitrary constant)2019Variable Separable Form
  11. 11Let be a point on the hyperbola . If the normal at intersects the -axis at (16,0) , then the eccentricity of the hyperbola is2019Normal to hyperbola
  12. 12If the radius of a spherical balloon increases by , then its volume increases approximately by2019Rate Measure Error and Approximation
  13. 13The three sides of a right angled triangle are in GP (geometric progression). If the two acute angles be and , then tan and tan are2019Geometric Progression
  14. 14If , then the values of are2019Logarithm
  15. 15Let be a complex number such that the principal value of argument, arg Then, arg is2019Conjugate, modulus and argument
  16. 16The general value of the real angle , which satisfies the equation. is given by, (assuming is an integer)2019Polar and Euler Form
  17. 17Let be real numbers such that and the quadratic equation has imaginary roots. Then.2019Relation between Roots and Coefficients
  18. 18A candidate is required to answer 6 out of 12 questions which are divided into two parts A and , each containing 6 questions and he/she is n2019Combination
  19. 19There are 7 greeting cards, each of a different colour and 7 envelopes of same 7 colours as that of the cards. The number of ways in which t2019Dearrangement
  20. 20is divisible by2019Divisibility Test
  21. 21The number of irrational terms in the expansion of is2019Properties of Binomial Coefficients
  22. 22Let be a square matrix of order 3 whose all entries are 1 and let be the identity matrix of order Then, the matrix is2019Inverse of a Matrix
  23. 23If is any square matrix of order 3 over . and if be the transpose of , then is equal to2019Adjoint and its Properties
  24. 24If and then is equal to2019Product of Matrices
  25. 25Let and be two square matrices of order 3 and , where denotes the null matrix of order 3. Then,2019Product of Matrices
  26. 26Let and be the subsets of , -plane defined by and , and . Then, is2019Questions on number of relations and sets
  27. 27Let be defined by for all . Then,2019Odd and Even Functions
  28. 28Let the relation be defined on as if Then2019Questions on Symmetric Transitive and Reflexive Properties
  29. 29A problem in mathematics is given to 4 students whose chances of solving individually are and The probability that the problem will be solve2019Independent Events
  30. 30If is a random variable such that then is equal to2019Statistics
  31. 31If then the number ofreal values of is2019N degree equation
  32. 32The angles of a triangle are in the ratio 2: 3: 7 and the radius of the circumscribed ircle is . The length of the smallest ide is2019Circle and Polygon
  33. 33A variable line passes through a fixed point and meets the axes at and . If the rectangle be completed, the locus of is, being the origin of2019Locus
  34. 34A straight line through the point (3,-2) is ndined at an angle to the line . If it intersects the -axis, then its equation vill be2019Basic Forms of Straight Line
  35. 35A variable line passes through the fixed point The locus of the foot of the perpendicular from the origin on the line is2019Locus
  36. 36If the point of intersection of the lines and lies in the 4 th quadrant and is equidistant from the two axes, where and are non-zero numbers2019Concurrency & Family of Lines
  37. 37A variable circle passes through the fixed point and touches -axis. The locus of the other end of the diameter through is2019Equation of Circle & its intercept
  38. 38If and are three given points, then the centre of the circle for which the lines and are the tangents is2019Coordinate System
  39. 39For the hyperbola which of the following remains fixed when varies?2019Equation of hyperbola
  40. 40Sand are the foci of an ellipse and is the end point of the minor axis. If is equilateral triangle, the eccentricity of the ellipse is2019Equation of Ellipse
  41. 41The equation of the directrices of the hyperbola is2019Equation of hyperbola
  42. 42is the extremity of the latusrectum of ellipse in the first quadrant. The eccentric angle of is2019Equation of Ellipse
  43. 43The direction ratios of the normal to the plane passing through the points (1,2,-3) ,(-1,-2,1) and parallel to is2019Direction Cosines and Direction Ratios
  44. 44The equation of the plane, which bisects the line joining the points (1,2,3) and (3,4,5) at right angles is2019Plane in Space
  45. 45The limit of the interior angle of a regular polygon of sides as is2019Algebraic and Rational Limits
  46. 46Let for all and exists for all . If is the inverse function of and Then, will be2019Differentiation of composite functions
  47. 47Consider the function . Then,2019Periodicity
  48. 48Preview not available - open to view this question.2019Special Forms
  49. 49Let be a derivable function, and Then2019Monotonicity
  50. 50Let be a continuous function that is differentiable in (1,3) an for all Then,2019Continuity
  51. 51Let and Then is2019Trigonometric and Inverse Trigonometric limits
  52. 52Let and , for all Then2019Inequalities
  53. 53Let be three unit vectors such that where If is not parallel to then the angle between and is2019Product of 2 vectors
  54. 54The position vectors of the points and are and respectively. If the points and lie on a plane, the value of is2019Algebra of Vectors
  55. 55A particle starts at the origin and moves l unit horizontally to the right and reaches , then it moves unit vertically up and 2 reaches , th2019Geometric Progression
  56. 56For any non-zero complex number , the minimum value of is2019Conjugate, modulus and argument
  57. 57The system of equations has infinitely many solutions in . Then,2019System of Linear Equations
  58. 58Let and are non-void subsets of , then (where the symbols have their usual interpretation)2019Questions on number of relations and sets
  59. 59Let be three non-void sets and be so that is surjective. Then,2019Types of Function (Mapping)
  60. 60The polar coordinate of a point is The polar coordinate of the point which is such that line joining is bisected perpendicularly by the init2019Polar and Euler Form
  61. 61The length of conjugate axis of a hyperbola is greater than the length of transverse axis. Then, the eccentricity e is2019Equation of hyperbola
  62. 62The value of is2019Algebraic and Rational Limits
  63. 63Let Then,2019Mean Value Theorem
  64. 64The graphs of the polynomial and intersect2019Number of Solutions
  65. 65A point is in motion along a hyperbola so that its abscissa increases uniformly at a rate of 1 unit per second. Then, the rate of change of 2019Rate Measure Error and Approximation
  66. 66Let If for all then2019Leibnitz Rule of Differentiation
  67. 67Two particles and move from rest along a straight line with constant accelerations and respectively. If takes seconds more than and describe2019Defintion of Function
  68. 68The area bounded by and and the -axis, is2019Area bounded by two curves
  69. 69Let be the roots of and be the roots of If and are in GP. then ab equals2019Relation between Roots and Coefficients
  70. 70If and is real number, then will be (when Set of integers)2019Conjugate, modulus and argument
  71. 71Let Then, the roots of the equation (where is the identity matrix of order 3 ) are2019Basic Algebra of Matrices
  72. 72Straight lines and intersect at . Points and are so chosen on these two lines such that . The equation of line passing through (2,-7) is2019Concurrency & Family of Lines
  73. 73Equation of a tangent to the hyperbola and which passes through an external point (2,8) is2019Tangent to hyperbola
  74. 74Let and be differentiable on the interval and let . Then,2019Differentiability
  75. 75Consider the function2019Differentiation of implicit functions

Physics

  1. 1A ray of light is reflected by a plane mirror. and be the unit vectors along the incident ray, reflected ray and the normal to the reflectin2019Reflection of Light from Plane Mirror
  2. 2A parent nucleus undergoes -decay with a half-life of 75000 yrs. The daughter nucleus undergoes -decay with a half-life of 9 months. In a pa2019Radioactivity
  3. 3A proton and an electron initially at rest are accelerated by the same potential difference. Assuming that a proton is 2000 times heavier th2019Matter Waves
  4. 4To which of the following the angular velocity of the electron in the -th Bohr orbit is proportional?2019Bohr's Atomic Model
  5. 5In the circuit shown, what will be the current through the zener?2019Diodes
  6. 6Each of the two inputs and can assume values either 0 or 1. Then which of the following will be equal to2019Logic gates
  7. 7The correct dimensional formula for impulse is given by2019Dimensions
  8. 8The density of the material of a cube can be estimated by measuring its mass and the length of one of its sides. If the maximum error in the2019Errors of Measurement
  9. 9Two weights of the mass and are joined by an inextensible string of negligible mass passing over a fixed frictionless pulley. The magnitude 2019Equilibrium of Forces
  10. 10A body starts from rest, under the action of an engine working at a constant power and moves along a straight line. The displacement s is gi2019Energy
  11. 11Two particles are simultaneously projected in the horizontal direction from a point at a certain height. The initial velocities of the parti2019Uniform Motion
  12. 12Assume that the earth moves around the sun in a circular orbit of radius and there exists a planet which also move around the sun in a circu2019Kepler laws
  13. 13A compressive force is applied to a uniform rod of rectangular cross-section so that its length decreases by . If the Poisson's ratio for th2019Bulk Modulus
  14. 14A small spherical body of radius and density p moves with the terminal velocity in a fluid of coefficient of viscosity and density . What wi2019Archmidies Principle
  15. 15Two black bodies and have equal surface areas and are maintained at temperatures and respectively. What will be the ratio of the thermal ene2019Radiation
  16. 16What will be the molar specific heat at constant volume of an ideal gas consisting of rigid diatomic molecules?2019Degree of Freedom and Specific Heat
  17. 17Consider the given diagram. An ideal gas is contained in a chamber (left) of volume and is at an absolute temperature . It is allowed to rus2019Thermodynamic Systems
  18. 18Five identical capacitors, of capacitance each, are connected to a battery of , in a combination as shown in the diagram. What is the total 2019Grouping of capacitors
  19. 19Eleven equal point charges, all of them having a charge , are placed at all the hour positions of a circular clock of radius . except at the2019Electric Field and Electric Field Lines
  20. 20A negative charge is placed at the midpoint between two fixed equal positive charges, separated by a distance . If the negative charge is gi2019Electric Field and Electric Field Lines
  21. 21To which of the following quantities, the radius of the circular path of a charged particle moving at right angles to a uniform magnetic fie2019Motion of Charged Particle in Magnetic Field
  22. 22An electric current enters and leaves a uniform circular wire of radius through diametrically opposite points. A particle carrying a charge 2019Force and Torque on Current Carrying Conductor
  23. 23A current ' is flowing along an infinite, straight wire, in the positive -direction and the same current is flowing along a similar parallel2019Magnetic Field
  24. 24A square conducting loop is placed near an infinitely long current carrying wire with one edge parallel to the wire as shown in the figure. 2019Biot-Savart's Law and Ampere's Circuital Law
  25. 25What is the current shown in the given circuit?2019Combination of Resistances
  26. 26When the value of in the balanced Nheatstone bridge, shown in the figure, is increased from to , the value of shas to increased by in order 2019Wheatstone Bridge
  27. 27When a inductor and a resistor are connected in series with an AC voltage source, the voltage leads the current by . If the inductor is repl2019Alternating Current, Voltage and Power
  28. 28A point object is placed on the axis of a thin convex lens of focal length at a distance of from the lens and its image is formed on the axi2019Lens Formula, Refraction of light from curved surface
  29. 29In Young's experiment for the interference of light, the separation between the slits is and the distance of the screen from the slits is . 2019Youngs Double Slit Experiment
  30. 30When the frequency of the light used is changed from to . the angular width of the principal (central) maximum in a single slit Fraunhoffer 2019Youngs Double Slit Experiment
  31. 31A capacitor of capacitance is connected in series with a resistance and source of emf through a key. The capacitor starts charging when the 2019Force and Energy stored in capacitor
  32. 32A horizontal fire hose with a nozzle of cross-sectional arca delivers a cubic metre of water in 10 s. What will be the maximum possible incr2019Calorimetry
  33. 33Two identical blocks of ice move in opposite directions with equal speed and collide with cach other. What will be the minimum speed require2019Collisions
  34. 34A particle with charge moves with a velocity in a direction perpendicular to the directions of uniform clectric and magnetic ficlds, and res2019Motion of Charged Particle in Magnetic Field
  35. 35A parallel plate capacitor in series with a resistance of , an inductor of and an AC voltage source of variable frequency shows resonance at2019AC Circuits
  36. 36Electrons are emitted with kinetic energy from a metal plate by an irradiation of light of intensity and frequency v. Then, which of the fol2019Photoelectric Effect
  37. 37The initial pressure and volume of a given mass of an ideal gas with taken in a cylinder fitted with a piston, are and respectively. At this2019Thermodynamic Processes
  38. 38A projectile thrown with an initial velocity of at an angle with the horizontal. has a range of . Taking and neglecting air resistance, what2019Projectile motion
  39. 39In the circult shown in the figure all the resistance are identical and each has the value . The equivalent resistance of the combination be2019Combination of Resistances
  40. 40A metallic loop is placed in a uniform magnetic field with the planc of the loop perpendicular to . Under which condition given an emf will 2019Motional and Rotational EMF

Frequently Asked Questions

1.How many questions are in the WBJEE 2019 paper?

This paper has 155 questions in total - 40 from Chemistry, 75 from Mathematics, and 40 from Physics.

2.Can I practise questions from just one subject?

Yes. Use the Chemistry, Mathematics, and Physics tabs at the top of the page to jump directly to that subject's question set within this paper.

3.How is the WBJEE 2019 paper structured?

The WBJEE 2019 paper on MARKS has 155 questions, organised by subject:

  • Chemistry: 40 questions - 35 single-correct and 5 multiple-correct.
  • Mathematics: 75 questions - 65 single-correct and 10 multiple-correct.
  • Physics: 40 questions - 35 single-correct and 5 multiple-correct.
4.How difficult is the WBJEE 2019 paper?

Each question on MARKS carries a difficulty rating. Of the 155 rated questions in this paper, 63 (41%) are easy, 78 (50%) are medium and 14 (9%) are hard. Subject wise:

  • Chemistry: 18 easy, 15 medium, 7 hard
  • Mathematics: 32 easy, 39 medium, 4 hard
  • Physics: 13 easy, 24 medium, 3 hard
5.Which chapters were asked the most in the WBJEE 2019 paper?

The chapters with the most questions in each subject were:

  • Chemistry: General Organic Chemistry (5), Chemical Kinetics (4), and d and f Block Elements (4).
  • Mathematics: Limits (6), Straight Lines (6), and Complex Number (5).
  • Physics: Magnetic Effects of Current (5), Current Electricity (3), and Alternating Current (2).
6.Where can I find the solutions for the WBJEE 2019 paper?

Open any question on this page. Its page shows the correct answer and, where one is available, the worked solution. A downloadable PDF of the whole paper is coming soon.

7.How should I use the WBJEE 2019 paper to check my preparation?

Set a timer, attempt the 155 questions as you would in the exam, and only then open the answers. Note which subjects and chapters cost you the most marks, and revise those first using the chapter-wise practice for WBJEE. Repeating this with other papers shows whether the same weak spots keep coming back.

8.Will the WBJEE 2019 paper help me prepare for WBJEE 2027?

Yes. Every past paper shows the question styles and topics WBJEE has asked before, and a solved paper gives you a realistic benchmark for speed and accuracy. Use it along with the other papers to spot the chapters that keep returning.