Jump to a section

WBJEE 2022

Browse the complete Chemistry, Mathematics, and Physics question set from the WBJEE 2022 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 - 73 easy (47%), 58 moderate (37%) and 24 tough (15%). 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 49% easy, 40% moderate, 11% tough; Physics 33% easy, 40% moderate, 28% tough; Chemistry 57% easy, 30% moderate, 13% tough.

Chemistry questions were spread across 20 chapters, with Chemical Bonding and Molecular Structure (4), General Organic Chemistry (4), and Hydrocarbons (4) carrying the most weight. Mathematics questions were spread across 26 chapters, with Application of Derivatives (9), Parabola (7), and Definite Integration (6) carrying the most weight. Physics questions were spread across 21 chapters, with Electrostatics (6), Magnetic Effects of Current (5), and Thermodynamics (4) carrying the most weight.

Chemistry

  1. 1Which one of the following is the correct set of four quantum numbers ?2022Quantum mechanical model
  2. 2Avogadro's law is valid for2022Laws of chemical combination
  3. 3A metal (M) forms two oxides. The ratio (by weight) in the two oxides are and . The minimum value of atomic mass of is2022Mole concept
  4. 4The de-Broglie wavelength for electron (e), proton and ion are in the following order. (Speed of e, p and are the same)2022Dual Behaviour of Matter and Heisenberg Uncertainty Principle
  5. 5of water has 25 drops. Let be the Avogadro number. What is the number of molecules present in 1 drop of water ? (Density of water )2022Mole concept
  6. 6In Bohr model of atom, radius of hydrogen atom in ground state is and radius of ion in ground state is . Which of the following is correct?2022Bohr's model
  7. 7The average speed of at is equal to that of at . The ratio is2022Kinetic theory of gases
  8. 8A sample of is dissolved in dil. and the solution is neutralized with ammonia and buffered with . Disodium hydrogen phosphate reagent is add2022Alkaline Earth Metals
  9. 9Identify the non-linear molecule-pair from the above mentioned molecules.2022Hybridisation and VSEPR Theory
  10. 10The number of atoms in body centred and face centred cubic unit cell respectively are2022Crystal Structure of Solids
  11. 11The number of unpaired electron in ion is2022Properties of D-block elements
  12. 12The correct bond order of bond in molecule is2022Molecular Orbital Theory
  13. 13Sodium nitroprusside is2022Properties of D-block elements
  14. 14Choose the correct statement for the complex ion (Atomic no. of )2022Werner's theory and Valence Bond Theory
  15. 15The boiling point of the water is higher than liquid . The reason is that2022Properties of ionic compounds
  16. 16The metal-pair that can produce nascent hydrogen in alkaline medium is2022Properties of D-block elements
  17. 17Oxidation states of in and are, respectively2022Compounds of Transition Metals
  18. 18Which of the following is radioactive?2022Preparation and Properties of Hydrogen
  19. 19The correct order of acidity of the following hydra acids is2022Halogens and Its Compounds
  20. 20To a solution of colourless sodium salt, a solution of lead nitrate was added to have a white precipitate which dissolves in warm water and 2022Radicals
  21. 21The correct relationship between molecules I and II is2022Isomerism of Organic Compounds
  22. 22The correct order of relative stability for the given free radicals is2022Reaction Intermediates
  23. 23Hybridisation of the negative carbons in (1) and (2) are2022Hybridisation and VSEPR Theory
  24. 24What is the correct order of acidity of salicylic acid, 4-hydroxybenzoic acid, and dihydroxybenzoic acid?2022Preparation and Properties of Carboxylic Acids
  25. 25The enol form in which ethyle-3-oxobutanoate exists is2022Isomerism of Organic Compounds
  26. 26How many monobriminated product(s) (including stereoisomers) would form in the free radical bromination of nbutane?2022Reactions of alkanes
  27. 27Benzene burns in oxygen according to the above equation. What is the volume of oxygen (at STP) needed for complete combustion of 39 gram of 2022Quantitative measures in chemical equations
  28. 28How much solid oxalic acid (Molecular weight 126 ) has to be weighed to prepare exactly (N) oxalic acid solution in water?2022Equivalence concept
  29. 29The major product of the following reaction is2022Reactions of alkenes
  30. 30The correct order of relative stability of the given conformers of -butane is2022Isomerism of Organic Compounds
  31. 31Pick the correct statement.2022Colligative Properties and Abnormal Molecular Masses
  32. 32Let is the r.m.s speed of at . At what temperature, the most probable speed of helium will be half of ?2022Kinetic theory of gases
  33. 33The correct pair of electron affinity order is2022Periodic properties
  34. 34The product of the following reaction is :2022Method of preparation for both aldehydes and ketones
  35. 35The product of the following hydrogenation reaction is:2022Preparation and Reactions of cycloalkanes and cycloalkenes
  36. 36Which of the statements are incorrect?2022Salt Hydrolysis
  37. 37During the preparation of in Haber's process, the promoter(s) used is / are -2022Nitrogen and Its Compounds
  38. 38The correct statement(s) about is / are :2022Boron and Its Compounds
  39. 39Which of the following would produce enantiomeric products when reacted with methyl magnesium iodide?2022Method of preparation for both aldehydes and ketones
  40. 40The above conversion can be carried out by,2022Properties and Preparation of Alkanes

Mathematics

  1. 1Two circle and have a common chord . The equation of is2022Common Chord
  2. 2If the sum of the distances of a point from two perpendicular lines in a plane is 1 unit, then its locus is2022Locus
  3. 3A line passes through the point and makes an angle in the positive direction of -axis. If this line meets the curve at and , then is equal t2022Basic Forms of Straight Line
  4. 4is a chord of a parabola with vertex is drawn perpendicular to meeting the axis at . The projection of on the axis of the parabola is2022Chord of parabola
  5. 5Let be two points on such that . Then the ordinate of the point of intersection of the normals at and is2022Normal to hyperbola
  6. 6Let be the point and be a variable point on . Then the locus of mid-point of is2022Locus
  7. 7The line intersect the plane at the point2022Line and Plane
  8. 8is a variable chord of the ellipse . If subtends a right angle at the origin , then equals to2022Chord of ellipse
  9. 9The equation of the plane through the intersection of the planes and and parallel to the -axis is2022Plane in Space
  10. 10The values of for which the function is continuous at , are2022Continuity
  11. 11If then2022Higher order derivatives
  12. 12Domain of is2022Domain
  13. 13Let , where are real constants. Then is differentiable at2022Continuity
  14. 14Let be continuous in , differentiable in and . Then2022Mean Value Theorem
  15. 15is2022Exponential and logarithmic limits
  16. 16Let be derivable in , then2022Leibnitz Rule of Differentiation
  17. 17. Then2022Integration by Parts
  18. 18Let . Then a and are given by2022Leibnitz Rule of Differentiation
  19. 19Let ; then2022Integration by Substitution
  20. 20The value of is2022Properties of Definite Integration
  21. 21A curve passes through the point for which the segment of the tangent line contained between the co-ordinate axes is bisected at the point o2022Tangent Normal
  22. 22Let . Then equals2022Leibnitz Rule of Differentiation
  23. 23If , then is equal to2022Exact Forms
  24. 24Let . Then2022Maxima Minima
  25. 25The solution of is (C is arbitrary real constant) where is equal to2022Variable Separable Form
  26. 26The point of contact of the tangent to the parabola which passes through the point and makes an angle with the positive side of the axis of 2022Tangent to Parabola
  27. 27A particle moving in a straight line starts from rest and the acceleration at any time is where a and are positive constants. The maximum ve2022Rate Measure Error and Approximation
  28. 28If and is unit vector perpendicular to and coplanar with and , then unit vector perpendicular to both and is2022Product of 2 vectors
  29. 29If the equation of one tangent to the circle with centre at from the origin is , then the equation of the other tangent through the origin i2022Pair of Tangents
  30. 30Area of the figure bounded by the parabola and is2022Area bounded by two curves
  31. 31Let and . Then2022Inequalities
  32. 32If are in G. P. and are in A. P., then are the lengths of the sides of a triangle which is2022Mixed Question on AP and GP
  33. 33If are odd integers, then the roots of the equation are2022Relation between Roots and Coefficients
  34. 34The number of zeros at the end of 100! is2022Exponent of prime
  35. 35If , then Maximum Minimum is equal to2022Conjugate, modulus and argument
  36. 36If - iy and iq , then is equal to2022Algebra of complex numbers
  37. 37A is a set containing n elements. and are two subsets of . Then the number of ways of choosing and so that is2022Combination
  38. 38There are white and black balls marked . The number of ways in which we can arrange these balls in a row so that neighbouring balls are of d2022Arrangement under Constraint
  39. 39Let for all . Then2022Comparison between two numbers
  40. 40If , then coefficient of in is2022Differentiation and Integration of Determinants
  41. 41Under which of the following condition(s) does(do) the system of equations possesses (possess) unique solution?2022System of Linear Equations
  42. 42Let be three non-void sets and and composed mapping be defined. Let be injective mapping. Then2022Types of Function (Mapping)
  43. 43If is the adjoint of the matrix and , then is equal to2022Adjoint and its Properties
  44. 44If and , then equals2022Product of Matrices
  45. 45A determinant is chosen at random from the set of all determinants of order 2 with elements 0 or 1 only. The probability that the determinan2022Classical Definition of Probability
  46. 46For the mapping , given by , which of the following is correct ?2022Types of Function (Mapping)
  47. 47are mutually exclusive events such that and . Then the set of possible values of are in2022Addition and Subtraction Theorems
  48. 48The side of is fixed and is of length unit. The vertex moves in the plane such that the vertical angle is always constant and is . Let -axis2022Geometry of Complex Number
  49. 49If , then the maximum value of is given by2022Inequalities
  50. 50If the algebraic sum of the distances from the points and to a variable straight line be zero, then the line passes through the fixed point2022Point and Line
  51. 51is a double ordinate of the hyperbola such that is an equilateral triangle, being the centre of the hyperbola. Then the eccentricity e of th2022Equation of hyperbola
  52. 52Let be a non-negative function defined in exists and be continuous for all and and . Then2022Leibnitz Rule of Differentiation
  53. 53If the transformation reduces the differential equation into the form then is equal to2022Higher order derivatives
  54. 54If is the greatest of , then2022Properties Involving Inequalities
  55. 55. Then2022Algebraic and Rational Limits
  56. 56Let the tangent and normal at any point , 2at), , on the parabola meet the axis of the parabola at and respectively. Then the radius of the 2022Tangent to Parabola
  57. 57From the point , two tangents are drawn to . Then the angle between the two tangents is2022Pair of Tangents
  58. 58If is a unit vector, , then the maximum value of is2022Scalar Triple Product
  59. 59The maximum value of is2022Maxima Minima
  60. 60A straight line meets the co-ordinate axes at and . A circle is circumscribed about the triangle being the origin. If and are the distances 2022Equation of Circle & its intercept
  61. 61The solution of be 4 and 8 and . Then2022Inverse of a Matrix
  62. 62The value of a for which sum of the squares of the roots of the equation assumes the least value is2022Relation between Roots and Coefficients
  63. 63If satisfies the inequality , then belongs to2022Inequalities
  64. 64is defined as . Then2022Types of Function (Mapping)
  65. 65If and are two focal chords of the parabola then the chords and intersect on the2022Chord of parabola
  66. 66The line touches2022Line and parabola
  67. 67Let be a polynomial with real co-efficients, and for all . Then2022Mean Value Theorem
  68. 68Twenty metres of wire is available to fence off a flower bed in the form of a circular sector. What must the radius of the circle be, if the2022Maxima Minima
  69. 69Let . Then2022Monotonicity
  70. 70From a balloon rising vertically with uniform velocity a piece of stone is let go. The height of the balloon above the ground when the stone2022Rate Measure Error and Approximation
  71. 71Let . Then2022Differentiation and Integration of Determinants
  72. 72Let and be two non-zero complex numbers. Then2022Conjugate, modulus and argument
  73. 73Consider the equation . If and are fixed and different lines are drawn for different values of , then2022Derived Forms of Line
  74. 74Let and be two equivalence relations on a non-void set . Then2022Questions on Symmetric Transitive and Reflexive Properties
  75. 75Chords of an ellipse are drawn through the positive end of the minor axis. Their midpoint lies on2022Locus

Physics

  1. 1Two charges, each equal to are kept at and . A charge is placed at the origin. If is given a small displacement along y direction, the force2022Electric Charge and Coulomb's law
  2. 2Consider a thermodynamic process where internal energy constant). If the process is performed adiabatically, then2022First Law of Thermodynamics
  3. 3One mole of a diatomic ideal gas undergoes a process shown in diagram. The total heat given to the gas is2022Thermodynamic Processes
  4. 4Consider two concentric conducting sphere of radii and respectively. The inner sphere is given a charge . The other sphere is grounded. The 2022Electric Potential and Potential Energy
  5. 5A neutral conducting solid sphere of radius has two spherical cavities of radius a and as shown in the figure. Centre to centre distance bet2022Electric Charge and Coulomb's law
  6. 6The electric potential for an electric field directed parallel to -axis is shown in the figure. Choose the correct plot of electric field st2022Electric Potential and Potential Energy
  7. 7Two infinite line-charges parallel to each other are moving with a constant velocity in the same direction as shown in the figure. The separ2022Magnetic Field
  8. 8In a closed circuit there is only a coil of inductance and resistance . The coil is situated in a uniform magnetic field. All on a sudden, t2022AC Circuits
  9. 9An electron revolves around the nucleus in a circular path with angular momentum uniform magnetic field is applied perpendicular to the plan2022Motion of Charged Particle in Magnetic Field
  10. 10A straight wire is placed in a magnetic field that varies with distance from origin as . Ends of wire are at and and it carries a current . 2022Force and Torque on Current Carrying Conductor
  11. 11A battery of emf and internal resistance is connected with an external resistance as shown in the figure. The battery will act as a constant2022Electric Cell or Battery
  12. 12When an source of emf with frequency is connected across a circuit, the phase difference between and current I in the circuit is observed to2022AC Circuits
  13. 13The human eye has an approximate angular resolution of and typical photo printer prints a minimum of 300 dip (dots per inch, 1 inch ). At wh2022Human eye
  14. 14If the kinetic energies of an electron, an alpha particle and a proton having same de-Broglie wavelength are and respectively, then2022Matter Waves
  15. 15In a Young's double slit experiment, the intensity of light at a point on the screen where the path difference between the interfering waves2022Youngs Double Slit Experiment
  16. 16In Young's double slit experiment with a monochromatic light, maximum intensity is 4 times the minimum intensity in the interference pattern2022Youngs Double Slit Experiment
  17. 17The expression simplifies to2022Multiplication of Vectors
  18. 18Supose in a hypothetical world the angular momentum is quantized to be even integral multiples of . The largest possible wavelength emitted 2022Bohr's Atomic Model
  19. 19A Zener diode having break down voltage is used in a voltage regulator circuit as shown in the figure. The minimum current required to pass 2022Diodes
  20. 20The Entropy (S) of a black hole can be written as , where is the Boltzmann constant and is the area of the black hole. Then has dimension of2022Dimensions
  21. 21Given : The percentage error in the measurements of and are respectively, and . The relative error in is2022Errors of Measurement
  22. 22particle is moving in an elliptical orbit as shown in figure. If and denote the linear momentum, angular momentum and position vector of the2022Angular momentum and Angular impulse
  23. 23The kinetic energy of a particle moving along -axis varies with its position as shown in the figure. The force acting on the particle at is2022Energy
  24. 24A body of mass is thrown vertically upward with speed , where is the escape velocity of a body from earth surface. The final velocity of the2022Gravitational potential and Potential Energy
  25. 25A particle is subjected to two simple harmonic motions in the same direction having equal amplitudes and equal frequency. If the resultant a2022Simple Harmonic Motion
  26. 26A body of mass is thrown with velocity u from the origin of a co-ordinate axes at an angle with the horizon. The magnitude of the angular mo2022Projectile motion
  27. 27Three particles, each of mass ' ' grams situated at the vertices of an equilateral of side ' ' (as shown in the figure). The moment of inert2022Moment of inertia of rigid bodies
  28. 28Certain amount of an ideal gas is taken from its initial state 1 to final state 4 through the paths as shown in figure. are all isotherms. I2022First Law of Thermodynamics
  29. 29If a string, suspended from the ceilling is given a downward force , its length becomes , Its length is , if the downward force is . What is2022Equilibrium of Forces
  30. 3027 drops of mercury coalesce to form a bigger drop. What is the relative increase in surface energy?2022Surface tension
  31. 31Three concentric metallic shells A, B and C of radii and $c(a2022Electric Potential and Potential Energy
  32. 32A horizontal semi-circular wire of radius is connected to a battery through two similar springs and to an electric cell, which sends current2022Force and Torque on Current Carrying Conductor
  33. 33Find the equivalent capacitance between and of the following arrangement :2022Grouping of capacitors
  34. 34A golf ball of mass placed on a tee, is struck by a golf-club. The speed of the golf ball as it leaves the tee is , the time of contact on t2022Equilibrium of Forces
  35. 35One mole of an ideal monoatomic gas expands along the polytrope constant from to at a constant pressure . The temperature during the process2022Thermodynamic Processes
  36. 36A hemisphere of radius is placed in a uniform electric field so that its axis is parallel to the field. Which of the following statement(s) 2022Electric Flux and Gauss Law
  37. 37As shown in figure, a rectangular loop of length ' a' and width ' ' and made of a conducting material of uniform crosssection is kept in a h2022Force and Torque on Current Carrying Conductor
  38. 38A sample of hydrogen atom in its ground state is radiated with photons of energies. The radiation from the sample is absorbed by excited ion2022Bohr's Atomic Model
  39. 39A particle is moving in plane according to . Where is constant. Which of the following statement(s) is / are true?2022Relative motion
  40. 40Two wires and of same length are made of same material. Load vs. elongation graph for these two wires is shown in the figure. Then which of 2022Young's Modulus and Breaking Stres

Frequently Asked Questions

1.How many questions are in the WBJEE 2022 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 2022 paper structured?

The WBJEE 2022 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 2022 paper?

Each question on MARKS carries a difficulty rating. Of the 155 rated questions in this paper, 73 (47%) are easy, 58 (37%) are medium and 24 (15%) are hard. Subject wise:

  • Chemistry: 23 easy, 12 medium, 5 hard
  • Mathematics: 37 easy, 30 medium, 8 hard
  • Physics: 13 easy, 16 medium, 11 hard
5.Which chapters were asked the most in the WBJEE 2022 paper?

The chapters with the most questions in each subject were:

  • Chemistry: Chemical Bonding and Molecular Structure (4), d and f Block Elements (4), and General Organic Chemistry (4).
  • Mathematics: Application of Derivatives (9), Parabola (7), and Definite Integration (6).
  • Physics: Electrostatics (6), Magnetic Effects of Current (5), and Thermodynamics (4).
6.Where can I find the solutions for the WBJEE 2022 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 2022 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 2022 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.