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WBJEE 2023

Browse the complete Chemistry, Mathematics, and Physics question set from the WBJEE 2023 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 - 59 easy (38%), 66 moderate (43%) and 30 tough (19%). That's a fairly typical mix for this exam. By subject: Mathematics 37% easy, 48% moderate, 15% tough; Physics 43% easy, 35% moderate, 23% tough; Chemistry 35% easy, 40% moderate, 25% tough.

Chemistry questions were spread across 21 chapters, with General Organic Chemistry (5), Chemical Bonding and Molecular Structure (4), and Chemical Kinetics (3) carrying the most weight. Mathematics questions were spread across 28 chapters, with Application of Derivatives (5), Definite Integration (5), and Sequences and Series (5) carrying the most weight. Physics questions were spread across 22 chapters, with Electrostatics (4), Magnetic Effects of Current (4), and Electromagnetic Induction (3) carrying the most weight.

Chemistry

  1. 1The correct order of boiling points of N-ethylethanamine (I), ethoxyethane (II) and butan-2-ol (III) is2023Van Der Waals Forces, Hydrogen Bonding and Metallic Bonding
  2. 2Structure of \(M\) is,2023Chemical reactions for aldehydes and ketones
  3. 3The correct order of acidity of above compounds is2023Electron displacement effects
  4. 4The correct option for the above reaction is2023Preparation and Properties of Monohalides
  5. 5If all the nucleophilic substitution reactions at saturated carbon atoms in the above sequence of reactions follow \( {S}_{ {N}} 2\) mechani2023Preparation and Properties of Monohalides
  6. 6Two base balls (masses: \(m_1=100 {~g}\), and \(m_2=50 {~g}\) ) are thrown. Both of them move with uniform velocity, but the velocity of \(m2023Dual Behaviour of Matter and Heisenberg Uncertainty Principle
  7. 7What is the edge length of the unit cell of a body centred cubic crystal of an element whose atomic radius is \(75 {pm}\) ?2023Cubic system
  8. 8The root mean square (rms) speed of \(X_2\) gas is \( {x} {m/s}\) at a given temperature. When the temperature is doubled, the \( {X}_2\) mo2023Kinetic theory of gases
  9. 9Arrange the following in order of increasing mass I. 1 mole of \( {N}_2\) II. \(0.5 {~mole}^2\) of \( {O}_3\) III. \(3.011 10^{23} {molecule2023Mole concept
  10. 10Which of the following would give a linear plot? (\(k\) is the rate constant of an elementary reaction and \( {T}\) is temp. in absolute sca2023Arrhenius theory
  11. 11The equivalent conductance of \( {NaCl}, {HCl}\) and \( {CH}_3 {COONa}\) at infinite dilution are \(126.45,426.16\) and 91 \( {ohm}^{-1} {~c2023Conductance and Conductivity
  12. 12For the reaction \(A+B C\), we have the following data: \( {array}{|c|c|c|} {array}{c} { Initial concentration of } \\ {A} { (in molarity) }2023Rate law and rate constant
  13. 13The equivalent weight of \( {KIO}_3\) in the given reaction is (\( {M}=\) molecular mass) : \(2 {Cr}( {OH})_3+4 {OH}^{-}+ {KIO}_3 2 {CrO}_4{2023Equivalence concept
  14. 14At STP, the dissociation reaction of water is \( {H}_2 {O} {H}^{+}\)(aq.) \(+ {OH}^{-}\)(aq.), and the \( {pH}\) of water is 7.0. The change2023Third law of thermodynamics
  15. 15\( {Na}_2 {CO}_3\) is prepared by Solvay process but \( {K}_2 {CO}_3\) cannot be prepared by the same because2023Compounds of Alkali Metals
  16. 16If in case of a radio isotope the value of half-life \( (T_{1/2} )\) and decay constant \(( )\) are identical in magnitude, then their value2023Integrated rate laws
  17. 17Suppose a gaseous mixture of \( {He}, {Ne}, {Ar}\) and \( {Kr}\) is treated with photons of the frequency appropriate to ionize Ar. What ion2023Periodic properties
  18. 18A solution containing \(4 {~g}\) of polymer in 4.0 litre solution at \(27^{ } {C}\) shows an osmotic pressure of \(3.0 10^{-4} {~atm}\). The2023Colligative Properties and Abnormal Molecular Masses
  19. 19The molecular shapes of \( {SF}_4, {CF}_4\) and \( {XeF}_4\) are2023Hybridisation and VSEPR Theory
  20. 20The species in which nitrogen atom is in a state of sp hybridisation is2023Hybridisation and VSEPR Theory
  21. 21The correct statement about the magnetic properties of \( [ {Fe}( {CN})_6 ]^{3-}\) and \( [ {FeF}_6 ]^{3-}\) is2023Werner's theory and Valence Bond Theory
  22. 22The calculated spin-only magnetic moment values in \( {BM}\) for \( [ {FeCl}_4 ]^{-}\)and \( [ {Fe}( {CN})_6 ]^{3-}\) are2023Quantum mechanical model
  23. 23\( {BrF}_3\) self ionises as following2023Halogens and Its Compounds
  24. 24\(4 f^2\) electronic configuration is found in2023F-Block elements
  25. 25Which of the following statements is incorrect?2023Werner's theory and Valence Bond Theory
  26. 26The correct order of \( {C}= {O}\) bond length in ethyl propanoate (I), ethyl propenoate (II) and ethenyl propanoate (III) is2023Molecular Orbital Theory
  27. 27Select the molecule in which all the atoms may lie on a single plane is2023Isomerism of Organic Compounds
  28. 28The IUPAC name of is :2023IUPAC Nomenclature
  29. 29The correct stability order of the following carbocations is \( { {I}}{ {H}_2 { }{ {C}}- {CH}= {CH}- {CH}_3}\) \( { {II}}{ { }{ {C}} {H}_2- 2023Electron displacement effects
  30. 30The relationship between the pair of compounds shown above are respectively,2023Isomerism of Organic Compounds
  31. 31' \( { {G}}\) ' in the above sequence of reactions is2023Methods of Preparation of Carbonyl Compounds
  32. 32Case \(-1:\) An ideal gas of molecular weight \(M\) at temperature \(T\). Case \(-2:\) Another ideal gas of molecular weight \(2 {M}\) at te2023Kinetic theory of gases
  33. 33\(63 {~g}\) of a compound (Mol. Wt. \(=126)\) was dissolved in \(500 {~g}\) distilled water. The density of the resultant solution as \(1.122023Concentration terms
  34. 34Nickel combines with a uninegative monodentate ligand \( ( {X}^{-} )\)to form a paramagnetic complex \( [ {NiX}_4 ]^{2-}\). The hybridisatio2023Werner's theory and Valence Bond Theory
  35. 35\( { {L}}{=}~ [ { (ii) } {H}_3 {O}^{ }]{ { (i) } {PhMgBr}} { {M}}{=}~ []{ {CrO}_3 / {H}^{ }} { {N}}{=}~ []{ {Ph}_3 {P}= {CH}_2} {Ph}_2 {C}= 2023Chemical reactions for aldehydes and ketones
  36. 36The correct set(s) of reactions to synthesize benzoic acid starting from benzene is/are2023Reactions of aromatic compounds
  37. 37Which statement(s) is/are applicable above critical temperature?2023Critical phenomena and liquefaction
  38. 38Which of the following mixtures act(s) as buffer solution?2023Buffer solutions
  39. 39An electron in the \(5 {~d}\) orbital can be represented by the following \( (n, 1, m_0 )\) values2023Quantum mechanical model
  40. 40The conversions(s) that can be carried out by bromine in carbon tetrachloride solvent is/are2023Preparation and Properties of Monohalides

Mathematics

  1. 1\( _{x } \{x- [n]{ (x-a_1 ) (x-a_2 ) (x-a_n )} \}\) where \(a_1, a_2, , a_n\) are positive rational numbers. The limit2023Algebraic and Rational Limits
  2. 2Suppose \(f: {R} {R}\) be given by \(f(x)= \{ {array}{cc}1, { if } x=1 \\ e^{ (x^{10}-1 )}+(x-1)^2 {1}{x-1} {array} ., { if } x 1 { then }\)2023Differentiability
  3. 3Let \(f:[1,3] {R}\) be continuous and be derivable in \((1,3)\) and \(f^{ }(x)=[f(x)]^2+4 x (1,3)\). Then2023Mean Value Theorem
  4. 4\(f(x)\) is a differentiable function and given \(f^{ }(2)=6\) and \(f^{ }(1)=4\), then \(L= _{h 0} {f (2+2 h+h^2 )-f(2)}{f (1+h-h^2 )-f(1)}2023Algebraic and Rational Limits
  5. 5Let \( ^{-1} ( {y}{b} )= _e ( {x}{n} )^n\), then \(A y_2+B y_1+C y=0\) is possible for2023Differentiation of composite functions
  6. 6If \(I= {x^2 d x}{(x x+ x)^2}=f(x)+ x+c\), then \(f(x)\) is2023Miscellaneous Forms
  7. 7If \( {d x}{(x+1)(x-2)(x-3)}= {1}{k} _e \{ {|x-3|^3|x+1|}{(x-2)^4} \}+c\), then the value of \(k\) is2023Integration using Partial Fraction
  8. 8The expression \( { _0^n[x] d x}{ _0^n\{x\} d x}\), where \([x]\) and \(\{x\}\) are respectively integral and fractional part of \(x\) and \2023Miscellaneous
  9. 9The value of \( _0^{1 / 2} {d x}{ {1-x^{2 n}}}\) is \((n {N})\)2023Miscellaneous Forms
  10. 10If \(I_n= _0^{ { }{2}} ^n x n x d x\), then \(I_1, I_2, I_3 \) are in2023Integration using Reduction Formula
  11. 11If \(y= {x}{ _e|c x|}\) is the solution of the differential equation \( {d y}{d x}= {y}{x}+ ( {x}{y} )\), then \( ( {x}{y} )\) is given by2023Formation of Differential Equation
  12. 12The function \(y=e^{k x}\) satisfies \( ( {d^2 y}{d x^2}+ {d y}{d x} ) ( {d y}{d x}-y )=y {d y}{d x}\). It is valid for2023Higher order derivatives
  13. 13Given \( {d^2 y}{d x^2}+ x {d y}{d x}+4 y {cosec}^2 x=0\). Changing the independent variable \(x\) to \(z\) by the substitution \(z= {x}{2}\2023Higher order derivatives
  14. 14Let \(f(x)= \{ {array}{cc}x+1, & -1 x 0 \\ -x, & 0 x 1 {array} .\)2023Continuity
  15. 15A missile is fired from the ground level rises \(x\) meters vertically upwards in \(t \), where \(x=100 t- {25}{2} t^2\). The maximum height2023Higher order derivatives
  16. 16If a hyperbola passes through the point \( {P}( {2}, {3})\) and foci at \(( 2,0)\) then the tangent to this hyperbola at \( {P}\) is2023Tangent to hyperbola
  17. 17\(A, B\) are fixed points with coordinates \((0, a)\) and \((0, b)(a > 0, b > 0)\). \(P\) is variable point \((x, 0)\) referred to rectangul2023Cosine Rule and Projection Formula
  18. 18The average length of all vertical chords of the hyperbola \( {x^2}{a^2}- {y^2}{b^2}=1, a x 2 a\), is2023Chord of hyperbola
  19. 19The value of ' \(a\) ' for which the scalar triple product formed by the vectors \( {a}= {i}+a {j}+ {k}, { }= {j}+a {k}\) and \( { }=a {i}+ 2023Scalar Triple Product
  20. 20If the vertices of a square are \(z_1, z_2, z_3\) and \(z_4\) taken in the anti-clockwise order, then \(z_3=\)2023Geometry of Complex Number
  21. 21If the \(n\) terms \(a_1, a_2, . ., a_n\) are in A.P. with increment \(r\), then the difference between the mean of their squares & the squa2023Arithmetic Progression
  22. 22If \(1, _9 (3^{1-x}+2 ), _3 (4.3^{ {x}}-1 )\) are in A.P, then \(x\) equals2023Arithmetic Progression
  23. 23Reflection of the line \( {a} z+a {z}=0\) in the real axis is given by2023Geometry of Complex Number
  24. 24If one root of \(x^2+p x-q^2=0, p\) and \(q\) are real, be less than 2 and other be greater than 2, then2023Location of Roots
  25. 25The number of ways in which the letters of the word 'VERTICAL' can be arranged without changing the order of the vowels is2023Arrangement under Constraint
  26. 26\( {n}\) objects are distributed at random among \( {n}\) persons. The number of ways in which this can be done so that at least one of them2023Division of Identical items
  27. 27Let \(P(n)=3^{2 n+1}+2^{n+2}\) where \(n {N}\). Then2023Mathematical Induction
  28. 28Let \(A\) be a set containing \(n\) elements. \(A\) subset \(P\) of \(A\) is chosen, and the set \(A\) is reconstructed by replacing the ele2023Combination
  29. 29Let \(A\) and \(B\) are orthogonal matrices and \( {det} A+ {det} B=0\). Then2023Miscellaneous
  30. 30Let \(A= ( {array}{ccc}2 & 0 & 3 \\ 4 & 7 & 11 \\ 5 & 4 & 8 {array} )\). Then2023Expansion of Determinants
  31. 31If the matrix \(M_r\) is given by \(M_r= ( {array}{cc}r & r-1 \\ r-1 & r {array} )\) for \(r=1,2,3, \) then \( {det} ( {M}_1 )+ {det} ( {M}_2023Expansion of Determinants
  32. 32Let \( , \) be the roots of the equation \(a x^2+b x+c=0, a, b, c\) real and \(s_n= ^n+ ^n\) and \( | {array}{ccc}3 & 1+s_1 & 1+s_2 \\ 1+s_12023Expansion of Determinants
  33. 33Let \(A, B, C\) are subsets of set \(X\). Then consider the validity of the following set theoretic statement :2023Questions on Venn Diagram
  34. 34Let \(X\) be a nonvoid set. If \( _1\) and \( _2\) be the transitive relations on \(X\), then2023Questions on Symmetric Transitive and Reflexive Properties
  35. 35Let \(A\) and \(B\) are two independent events. The probability that both \(A\) and \(B\) happen is \( {1}{12}\) and probability that neithe2023Independent Events
  36. 36Let \(S\) be the sample space of the random experiment of throwing simultaneously two unbiased dice and \(E_k=\{a, b) \) \(S: a b=k\}\). If 2023Classical Definition of Probability
  37. 37If \( {1}{6} , , \) are in G.P., then the solution set of \( \) is2023Solving Trigonometric Equation
  38. 38The equation \(r^2 ^2 ( - { }{3} )=2\) represents2023Sum and Difference & Multiple angle Formula
  39. 39Let \(A\) be the point \((0,4)\) in the xy-plane and let \(B\) be the point \((2 t, 0)\). Let \(L\) be the midpoint of \(A B\) and let the p2023Locus
  40. 40If \(4 a^2+9 b^2-c^2+12 a b=0\), then the family of straight lines \(a x+b y+c=0\) is concurrent at2023Concurrency & Family of Lines
  41. 41The straight lines \(x+2 y-9=0,3 x+5 y-5=0\) and \(a x+\) by \(-1=0\) are concurrent if the straight line \(35 x-22 y+\) \(1=0\) passes thro2023Concurrency & Family of Lines
  42. 42\(A B C\) is an isosceles triangle with an inscribed circle with centre \(O\). Let \(P\) be the midpoint of \(B C\). If \(A B=A C=15\) and \2023Circle and Polygon
  43. 43Let \(O\) be the vertex, \(Q\) be any point on the parabola \(x^2=8 y\). If the point \(P\) divides the line segment \(O Q\) internally in t2023Locus
  44. 44The tangent at point \((a , b ), 0 < < { }{2}\), to the ellipse \( {x^2}{a^2}+ {y^2}{b^2}=1\) meets the \(x\)-axis at \(T\) and \(y\)-axis a2023Tangent to ellipse
  45. 45Let \(A(2 , 3 )\) and \(B(2 , 3 )\) where \( + = { }{2}\) be two points on the hyperbola \( {x^2}{4}- {y^2}{9}=1\). If \(( , )\) is the poin2023Normal to hyperbola
  46. 46If the lines joining the focii of the ellipse \( {x^2}{a^2}+ {y^2}{b^2}=1\) where \(a > b\), and an extremity of its minor axis is inclined 2023Equation of Ellipse
  47. 47If the distance between the plane \(a x-2 y+z=k\) and the plane containing the lines \( {x-1}{2}= {y-2}{3}= {z-3}{4}\) and \( {x-2}{3}= {y-32023Line and Plane
  48. 48The angle between a normal to the plane \(2 x-y+2 z-1=0\) and the X-axis is2023Line and Plane
  49. 49Let \(f(x)= [x^2 ] x, x > 0\). Then2023Continuity
  50. 50If \(y= ^n x\), where \( ^n\) means \( _e _e _e \) (repeated \(n\) times), then \(x x ^2 x ^3 x . . ^{n-1} x ^n x {d y}{d x}\) is equal to2023Logarithm
  51. 51\( _0^{2 } ^6 d \) is equal to2023Miscellaneous
  52. 52If \(x= \) and \(y= k \), then \( (1-x^2 ) y_2-x y_1- y=0\), for \( =\)2023Formation of Differential Equation
  53. 53In the interval \((-2 , 0)\), the function \(f(x)= ( {1}{x^3} )\)2023Domain
  54. 54The average ordinate of \(y= x\) over \([0, ]\) is2023Properties of Definite Integration
  55. 55The portion of the tangent to the curve \(x^{ {2}{3}}+y^{ {2}{3}}=a^{ {2}{3}}, a > 0\) at any point of it, intercepted between the axes2023Tangent Normal
  56. 56If the volume of the parallelopiped with \( {a} {b}, {b} {c}\) and \( {c} {a}\) as coterminous edges is 9 cu. units., then the volume of the2023Scalar Triple Product
  57. 57Given \(f(x)=e^{ x}+e^{ x}\). The global maximum value of \(f(x)\)2023Maxima Minima
  58. 58Consider a quadratic equation \(a x^2+2 b x+c=0\) where \(a, b, c\) are positive real numbers. If the equation has no real root, then which 2023Harmonic Progression
  59. 59Let \(a_1, a_2, a_3, , a_n\) be positive real numbers. Then the minimum value of \( {a_1}{a_2}+ {a_2}{a_3}+ .+ {a_n}{a_1}\) is2023Inequalities
  60. 60Let \(A= ( {array}{lll}0 & 0 & 1 \\ 1 & 0 & 0 \\ 0 & 0 & 0 {array} ), B= ( {array}{lll}0 & 1 & 0 \\ 0 & 0 & 1 \\ 0 & 0 & 0 {array} )\) and \2023Symmetric & Skew Symmetric Matrices
  61. 61Let \( \) be a relation defined on set of natural numbers \( {N}\), as \( =\{(x, y) {N} {N}: 2 x+y=41\}\). Then domain \(A\) and range B are2023Domain
  62. 62From the focus of the parabola \(y^2=12 x\), a ray of light is directed in a direction making an angle \( ^{-1} {3}{4}\) with \(x\)-axis. Th2023Line and parabola
  63. 63The locus of points \((x, y)\) in the plane satisfying \( ^2 x+ ^2 y=1\) consists of2023Locus
  64. 64The value of \( _{n } [ ( {1}{2 3}+ {1}{2^2 3} )+ ( {1}{2^2 3^2}+ {1}{2^3 3^2} )+ + ( {1}{2^n 3^n}+ {1}{2^{n+1} 3^n} ) ]\) is2023Geometric Progression
  65. 65The family of curves \(y=e^{a x}\), where ' \(a\) ' is arbitrary constant, is represented by the differential equation2023Formation of Differential Equation
  66. 66Let \(f\) be a non-negative function defined on \( [0, { }{2} ]\). If \( _0^x (f^{ }(t)- 2 t ) d t= _x^0 f(t) t d t, f(0)=1\), then \( _0^{ 2023Leibnitz Rule of Differentiation
  67. 67A balloon starting from rest is ascending from ground with uniform acceleration of \(4 {ft} / {sec}^2\). At the end of \(5 {sec}\), a stone 2023Heights and Distances
  68. 68If \(f(x)=3 [3]{x^2}-x^2\), then2023Maxima Minima
  69. 69If \(z_1\) and \(z_2\) are two complex numbers satisfying the equation \( | {z_1+z_2}{z_1-z_2} |=1\), then \( {z_1}{z_2}\) may be2023Geometry of Complex Number
  70. 70A letter lock consists of three rings with 15 different letters. If \( {N}\) denotes the number of ways in which it is possible to make unsu2023Permutation
  71. 71If \(R\) and \( {R}^1\) are equivalence relations on a set \(A\), then so are the relation2023Questions on Symmetric Transitive and Reflexive Properties
  72. 72Let \(f\) be a strictly decreasing function defined on \( {R}\) such that \(f(x) > 0, x {R}\). Let \( {x^2}{f (a^2+5 a+3 )}+ {y^2}{f(a+15)}=2023Monotonicity
  73. 73A rectangle \(A B C D\) has its side parallel to the line \(y=2 x\) and vertices \(A, B, D\) are on lines \(y=1, x=1\) and \(x=-1\) respecti2023Coordinate System
  74. 74Let \(f(x)=x^m, m\) being a non-negative integer. The value of \(m\) so that the equality \(f^{ }(a+b)=f^{ }(a)+f^{ }(b)\) is valid for all 2023Functional Equation
  75. 75Which of the following statements are true?2023Properties of Periodic Functions

Physics

  1. 1In a simple harmonic motion, let \( {f}\) be the acceleration and \( {T}\) be the time period. If \(x\) denotes the displacement, then |fT| 2023Simple Harmonic Motion
  2. 2The displacement of a plane progressive wave in a medium, travelling towards positive \(x\)-axis with velocity \(4 {~m} / {s}\) at \(t=0\) i2023Basics of Mechanical Waves
  3. 3A shown in the figure, a liquid is at same levels in two arms of a U-tube of uniform cross-section when at rest. If the \(U\)-tube moves wit2023Pascal's Law
  4. 4Six molecules of an ideal gas have velocities \(1,3,5,5,6\) and \(5 {~m} / {s}\) respectively. At any given temperature, if \( {V}\) and \(V2023Speed of Gas
  5. 5As shown in the figure, a pump is designed as horizontal cylinder with a piston having area A and an outlet orifice having an area ' \(a\) '2023Hydrodynamics
  6. 6Two substance \(A\) and \(B\) of same mass are heated at constant rate. The variation of temperature \( \) of the substance with time \( {t}2023Heat Engine, Refrigerator and Second Law of Thermodynamics
  7. 7A given quantity of gas is taken from \(A\) to \(C\) in two ways; \(a\) ) directly from \(A C\) along a straight line and \(b\) ) in two ste2023First Law of Thermodynamics
  8. 8A thin glass rod is bent in a semicircle of radius \( {R}\). A change is non-uniformly distributed along the rod with a linear charge densit2023Electric Field and Electric Field Lines
  9. 9Consider a positively charged infinite cylinder with uniform volume charge density \(r > 0\). An electric dipole consisting of \(+Q\) and \(2023Electric Dipole
  10. 10\(12 {mC}\) and \(6 {mC}\) charges are given to the two conducting plates having same cross-sectional area and placed face to face close to 2023Capacitance
  11. 11A wire carrying a steady current \(I\) is kept in the \(x\)-y plane along the curve \(y=A ( {2 }{ } x )\). A magnetic field \(B\) exists in 2023Biot-Savart's Law and Ampere's Circuital Law
  12. 12The figure represents two equipotential lines in \( {x}- {y}\) plane for an electric field. The \( {x}\)-component \( {E}_{ {x}}\) of the el2023Electric Potential and Potential Energy
  13. 13An electric dipole of dipole moment \( {p}\) is placed at the origin of the co-ordinate system along the \(z\)-axis. The amount of work requ2023Electric Dipole
  14. 14The electric field of a plane electromagnetic wave of wave number \(k\) and angular frequency \( \) is given by \( {E}=E_0( {i}+ {j}) (k z- 2023Electromagnetic Waves and Maxwell's equations
  15. 15A charged particle in a uniform magnetic field \(B=B_0 {k}\) starts moving from the origin with velocity \(v=3 {i}+4 {k}\) m/s. The trajecto2023Motion of Charged Particle in Magnetic Field
  16. 16In an experiment on a circuit as shown in the figure, the voltmeter shows \(8 {~V}\) reading. The resistance of the voltmeter is,2023Electric Instruments
  17. 17An interference pattern is obtained with two coherent sources of intensity ratio \( {n}: 1\). The ratio \( { {I}_{ {Max }}- {I}_{ {Min }}}{ 2023Interference of Light
  18. 18A circular coil is placed near a current carrying conductor, both lying on the plane of the paper. The current is flowing through the conduc2023Magnetic Flux, Faraday's and Lenz law
  19. 19Three identical convex lenses each of focal length \(f\) are placed in a straight line separated by a distance \(f\) from each other. An obj2023Lens Formula, Refraction of light from curved surface
  20. 20A ray of monochromatic light is incident on the plane surface of separation between two media \(X\) and \(Y\) with angle of incidence 'i' in2023Refraction of light from plane surface
  21. 21If the potential energy of a hydrogen atom in the first excited state is assumed to be zero, then the total energy of \(n\) \(= \) state is,2023Bohr's Atomic Model
  22. 22In the given circuit, find the voltage drop \(V_L\) in the load resistance \(R_L\).2023Diodes
  23. 23Consider the logic circuit with inputs A, B, C and output \(Y\). How many combinations of \(A, B\) and \(C\) gives the output \(Y=0\) ?2023Logic gates
  24. 24X-rays of wavelength \( \) gets reflected from parallel planes of atoms in a crystal with spacing \( {d}\) between two planes as shown in th2023Interference of Light
  25. 25A particle of mass \( {m}\) is projected at a velocity \( {u}\), making an angle \( \) with the horizontal ( \( {x}\)-axis). If the angle of2023Angular momentum and Angular impulse
  26. 26A body of mass \(2 {~kg}\) moves in a horizontal circular path of radius \(5 {~m}\). At an instant, its speed is \(2 {5} {~m} / {s}\) and is2023Newton's laws of motion
  27. 27In an experiment, the length of an object is measured to be \(6.50 {~cm}\). This measured value can be written as \(0.0650 {~m}\). The numbe2023Errors of Measurement
  28. 28A mouse of mass \( {m}\) jumps on the outside edge of a rotating ceiling fan of moment of inertia I and radius \( {R}\). The fractional loss2023Momentum
  29. 29Acceleration due to gravity at a height \( {H}\) from the surface of a planet is the same as that at a depth of \( {H}\) below of surface. I2023Motion Under Gravity
  30. 30A uniform rope of length \(4 {~m}\) and mass \(0.4 {~kg}\) is held on a frictionless table in such a way that \(0.6 {~m}\) of the rope is ha2023Work done
  31. 31There are \(n\) elastic balls placed on a smooth horizontal plane. The masses of the balls are \(m, {m}{2}, {m}{2^2}, . {m}{2^{n-1}}\) respe2023Collisions
  32. 32An earth's satellite nejar the surface of the earth takes about 90 min per revolution. A satellite orbiting the moon also takes about 90 min2023Motion of satellite
  33. 33A bar magnet falls from rest under gravity through the centre of a horizontal ring of conducting wire as shown in figure. Which of the follo2023Magnetic Flux, Faraday's and Lenz law
  34. 34An amount of charge Q passes through a coil of resistance R. If the current in the coil decreases to zero at a uniform rate during time \(T\2023LR Circuit
  35. 35A modified gravitational potential is given by \(V=- {G M}{r}+ {A}{r^2}\). If the constant \(A\) is expressed in terms of gravitational cons2023Gravitational potential and Potential Energy
  36. 36A cyclic process is shown in \( {p}- {v}\) diagram and \( {T}- {S}\) diagram. Which of the following statement(s) is/are true?2023Thermodynamic Processes
  37. 37The figure shows two identical parallel plate capacitors \(A\) and \(B\) of capacitances \(C\) connected to a battery. The key \( {K}\) is i2023Force and Energy stored in capacitor
  38. 38A charged particle of charge \(q\) and mass \(m\) is placed at a distance \(2 R\) from the centre of a vertical cylindrical region of radius2023Motion of Charged Particle in Magnetic Field
  39. 39A uniform magnetic field \(B\) exists in a region. An electron of charge \(q\) and mass \(m\) moving with velocity \(v\) enters the region i2023Motion of Charged Particle in Magnetic Field
  40. 40A train is moving along the tracks at a constant speed \( {u}\). A girl on the train throws a ball of mass \(m\) straight ahead along the di2023Work done

Frequently Asked Questions

1.How many questions are in the WBJEE 2023 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.What is the structure of the WBJEE 2023 paper?

The WBJEE 2023 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.What is the difficulty level of the WBJEE 2023 paper?

Each question on MARKS carries a difficulty rating. Of the 155 rated questions in this paper, 59 (38%) are easy, 66 (43%) are medium and 30 (19%) are hard. Subject wise:

  • Chemistry: 14 easy, 16 medium, 10 hard
  • Mathematics: 28 easy, 36 medium, 11 hard
  • Physics: 17 easy, 14 medium, 9 hard
5.Which chapters had the most questions in the WBJEE 2023 paper?

The chapters with the most questions in each subject were:

  • Chemistry: General Organic Chemistry (5), Chemical Bonding and Molecular Structure (4), and Chemical Kinetics (3).
  • Mathematics: Application of Derivatives (5), Definite Integration (5), and Sequences and Series (5).
  • Physics: Electrostatics (4), Magnetic Effects of Current (4), and Electromagnetic Induction (3).
6.Where can I find the solutions for the WBJEE 2023 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 2023 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 2023 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.