Jump to a section

WBJEE 2011

Browse the complete Chemistry, Mathematics, and Physics question set from the WBJEE 2011 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 160 questions in total - 73 easy (46%), 57 moderate (36%) and 30 tough (19%). 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 46% easy, 35% moderate, 19% tough; Physics 40% easy, 38% moderate, 23% tough; Chemistry 50% easy, 35% moderate, 15% tough.

Chemistry questions were spread across 18 chapters, with Chemical Bonding and Molecular Structure (5), Structure of Atom (5), and Hydrocarbons (4) carrying the most weight. Mathematics questions were spread across 27 chapters, with Application of Derivatives (8), Differential Equations (6), and Binomial Theorem (5) carrying the most weight. Physics questions were spread across 23 chapters, with Ray Optics (5), Mechanical Properties of Fluids (4), and Oscillations (4) carrying the most weight.

Chemistry

  1. 1Two aromatic compounds having formula \( {C}_7 {H}_8 {O}\) which are easily identifiable by \( {FeCl}_3\) solution test (violet colouration)2011Reactions of aromatic compounds
  2. 2The ease of dehydrohalogenation of alkyl halide with alcoholic \( {KOH}\) is2011Properties and Preparation of Alkenes
  3. 3The ease of Nitration of the following three hydrocarbons follows the order2011Reactions of aromatic compounds
  4. 4The correct order of decreasing acidity of nitrophenols will be2011Electron displacement effects
  5. 5Among the alkenes which one produces tertiary bytyl alcohol on acid hydration2011Reactions of alkenes
  6. 6Which of the following compounds has maximum volatility?2011Van Der Waals Forces, Hydrogen Bonding and Metallic Bonding
  7. 7Which one of the following will show optical isomerism?2011Isomerism of Organic Compounds
  8. 8The \( {pH}\) of an aqueous solution of \( {CH}_3 {COONa}\) of concentrated \( {C}( {M})\) is given by2011PH of solutions
  9. 9The standard reduction potential \( {E}^{ }\) for half reations are \( {array}{ll} {Zn}= {Zn}^{+2}+ {Ze} & {E}^{ }=+0.76 {~V} \\ {Fe}= {Fe}^2011Cells and Electrode Potential, Nernst Equation
  10. 10If the equilibrium constants of the following equilibria \( {SO}_2+ {1}{2} {O}_2 {SO}_3 { and } 2 {SO}_3 2 {SO}_2+ {O}_2\) are given by \( {2011Law of Mass Action, Equilibrium Constant (Kc and Kp) and its Application
  11. 11The energy of an electron in first Bohr orbit of \( {H}\)-atom is \(-13.6 {eV}\). The possible energy value of electron in the excited state2011Hydrogen spectrum
  12. 12The amount of the heat released when \(20 {ml} 0.5 {M} {NaOH}\) is mixed with \(100 {ml} 0.1 {M} {HCl}\) is \( {x} {kJ}\). The heat of neutr2011Laws of Thermochemistry and Enthalpy Change
  13. 13Which one of the following has the lowest ionization energy?2011Periodic properties
  14. 14The ozone layer forms naturally by2011Air Pollution
  15. 152 gm of metal carbonate is neutralized completely by \(100 {ml}\) of \(0.1( {~N}) {HCl}\). The equivalent weight of metal carbonate is2011Equivalence concept
  16. 16Which one of the following is not true at room temperature and pressure2011Sulphur and Its Compounds
  17. 17An electric current is passed through an aqueous solution of a mixture of alanine (isoelectric point 6.0) glutamic acid (3.2) and arginine (2011Properties and Preparation of Amino Acids
  18. 18The representation of the ground state electronic configuration of He by box - diagram as \( \) is wrong because it violates2011Dual Behaviour of Matter and Heisenberg Uncertainty Principle
  19. 19The electronic transitions from \( {n}=2\) to \( {n}=1\) will produce shortest wavelength in (where \( {n}=\) principal quantum state)2011Hydrogen spectrum
  20. 20In the following electron - dot structure, calculate the formal charge from left to right nitrogen atom; \( { {N}}= {N}= { {N}}\)2011Hybridisation and VSEPR Theory
  21. 21If the molecular wt. of \( {Na}_2 {~S}_2 {O}_3\) and \( {I}_2\) are \( {M}_1\) and \( {M}_2\) respectively, then what will be the equivalent2011Equivalence concept
  22. 22A radioactive atom \( {X}_{ {Y}}\) emits two \( \) particles and one \( \) particle successively. The number of neutrons in the nucleus of t2011Atomic Mass and Atomic Size
  23. 23An element belongs to Group 15 and third period of the periodic table. Its electonic configuration will be2011Electronic configuration
  24. 24Which one of the following is paramagnetic?2011Molecular Orbital Theory
  25. 25Platinum, Palladium and Iridium are called noble metals because2011Properties of D-block elements
  26. 26Which one is not a constituent of nucleic acid?2011Properties and Preparation of Amino Acids
  27. 27The \( {sp}^3 {~d}^2\) hybridization of central atom of a molecule would lead to2011Hybridisation and VSEPR Theory
  28. 28In aqueous solution glucose remains as2011Carbohydrates
  29. 29Which of the following is used to prepare \( {Cl}_2\) gas at room temperature from concentrated \( {HCl}\) ?2011Halogens and Its Compounds
  30. 30\( {NO}_2\) is not obtained on heating2011Nitrogen and Its Compounds
  31. 31The normality of 30 volume \( {H}_2 {O}_2\) is2011Concentration terms
  32. 32Reaction of formaldehyde and ammonia gives2011Reactions for aldehydes
  33. 33A plot of In \( {k}\) against \( {1}{ {~T}}\) (abscissa) is expected to be a straight line with intercept on ordinate axis equal to2011Third law of thermodynamics
  34. 34Which of the following represents the composition of Carnallite mineral?2011Minerals and ores
  35. 35The solubility of \( {Ca}_3 ( {PO}_4 )_2\) in water is y moles / litre. Its solubility product is2011Solubility
  36. 36Paracetamol is2011Drugs and It's Classification
  37. 37Anhydrous ferric chloride is prepared by2011Compounds of Transition Metals
  38. 38Which one of the following is s-butyl phynylvinyl methane?2011IUPAC Nomenclature
  39. 39Hybridization of \( {C}_2\) and \( {C}_3\) of \( {H}_3 {C}- {CH}= {C}= {CH}- {CH}_3\) are2011Hybridisation and VSEPR Theory
  40. 40Which of the following compounds is not formed in iodoform reaction of acetone2011Tests for aldehyde and ketones

Mathematics

  1. 1The eccentricity of the hyperbola \(4 x^2-9 y^2=36\) is2011Equation of hyperbola
  2. 2The length of the latus rectum of the ellipse \(16 x^2+25 y^2=400\) is2011Equation of Ellipse
  3. 3The vertex of the parabola \(y^2+6 x-2 y+13=0\) is \( {aligned} & (y-1)^2=-6 x-12 \\ & (y-1)^2=-6(x+2)=4 ( {-6}{4} )(x+2) \\ & { Vertex } (-2011Standard equation of parabola
  4. 4The coordinates of a moving point \(p\) are \( (2 t^2+4,4 t+6 )\). Then its locus will be a2011Standard equation of parabola
  5. 5The equation \(8 x^2+12 y^2-4 x+4 y-1=0\) represents2011Homogeneous equation of second degree
  6. 6If the straight line \(y=m x\) lies outside of the circle \(x^2+y^2-20 y+90=0\), then the value of \(m\) will satisfy2011Line and Circle
  7. 7The locus of the centre of a circle which passes through two variable points \((a, 0),(-a, 0)\) is2011Locus
  8. 8The coordinates of the two points lying on \(x+y=4\) and at a unit distance from the straight line \(4 x+3 y=10\) are2011Point and Line
  9. 9The intercept on the line \(y=x\) by the circle \(x^2+y^2-2 x=0\) is \(A B\). Equation of the circle with \(A B\) as diameter is2011Equation of Circle & its intercept
  10. 10If the coordinates of one end of a diameter of the circle \(x^2+y^2+4 x-8 y+5=0\), is \((2,1)\), the coordinates of the other end is2011Equation of Circle & its intercept
  11. 11If the three points \(A(1,6), B(3,-4)\) and \(C(x, y)\) are collinear then the equation satisfying by \(x\) and \(y\) is2011Point and Line
  12. 12If \( = {2 t}{1+t^2}\) and \( \) lies in the second quadrant, then \( \) is equal to2011Basic Identities & T Ratios
  13. 13The solutions set of inequation \( ^{-1} x < ^{-1} x\) is2011Principal Value and Basics
  14. 14The number of solutions of \(2 x+ x=3\) is2011Solving Trigonometric Equation
  15. 15Let \( = {a}{a+1}\) and \( = {1}{2 a+1}\) then \( + \) is2011Sum and Difference & Multiple angle Formula
  16. 16If \( + = { }{4}\), then \((1+ )(1+ )\) is equal to2011Sum and Difference & Multiple angle Formula
  17. 17If \( \) and \( \) are the roots of the equation \(a x^2-b x+c=0\), then \( {a}, {b}\) and \( {c}\) satisfy the relation2011Relation between Roots and Coefficients
  18. 18If \( {A}\) and \( {B}\) are two matrices such that \( {A}+ {B}\) and \( {AB}\) are both defined, then2011Product of Matrices
  19. 19If \(A= ( {array}{cc}3 & x-1 \\ 2 x+3 & x+2 {array} )\) is a symmetric matrix, then the value of \(x\) is2011Symmetric & Skew Symmetric Matrices
  20. 20If \(z= ( {array}{ccc}1 & 1+2 i & -5 i \\ 1-2 i & -3 & 5+3 i \\ 5 i & 5-3 i & 7 {array} )\) then \((i= {-1})\)2011Expansion of Determinants
  21. 21The equation of the locus of the point of intersection of the straight lines \(x +(1- ) y=a \) and \(x\) sin \( -(1+\) \( ) y+a =0\) is2011Locus
  22. 22If \( + =0\) and \(0 < < \), then \( \)2011Basic Identities & T Ratios
  23. 23The value of \( 15^{ }- 15^{ }\) is2011Sum and Difference & Multiple angle Formula
  24. 24The period of the function \(f(x)= 4 x+ 3 x\) is2011Periodicity
  25. 25If \(y=2 x^3-2 x^2+3 x-5\), then for \(x=2\) and \( x=0.1\) value of \( y\) is2011Rate Measure Error and Approximation
  26. 26The approximate value of \( [5]{33}\) correct to 4 decimal places is2011Rate Measure Error and Approximation
  27. 27The value of \( _{-2}^2(x x+ x+1) d x\) is2011Properties of Definite Integration
  28. 28For the function \(f(x)=e^{ x}\), Rolle's theorem is2011Mean Value Theorem
  29. 29The general solution of the differential equation \( {d^2 y}{d x^2}+8 {d y}{d x}+16 y=0\) is2011Linear Differential Equation
  30. 30If \(x^2+y^2=4\), then \(y {d y}{d x}+x=\)2011Differentiation of implicit functions
  31. 31\( {x^3 d x}{1+x^8}=\)2011Integration by Substitution
  32. 32\( _ ^{16 }| x| d x=\)2011Properties of Periodic Functions
  33. 33The degree and order of the differential equation \(y=x ( {d y}{d x} )^2+ {d y}{d x}\) are respectively2011Order and Degree
  34. 34\(f(x)= \{ {array}{ll}0, & x=0 \\ x-3, & x > 0 {array} .\) The function \(f(x)\) is2011Monotonicity
  35. 35The function \(f(x)=a x+b\) is strictly increasing for all real \(x\) if2011Monotonicity
  36. 36\( { 2 x}{ x} d x=\)2011Fundamental of Indefinite Integration
  37. 37\( { ^8 x- ^8 x}{1-2 ^2 x ^2 x} d x\)2011Fundamental of Indefinite Integration
  38. 38The general solution of the differential equation \( _{ {e}} ( {d y}{d x} )=x+y\) is2011Variable Separable Form
  39. 39If \(y= {A}{x}+B x^2\), then \(x^2 {d^2 y}{d x^2}=\)2011Differentiation of implicit functions
  40. 40If one of the cube roots of 1 be \( \), then \( | {array}{ccc}1 & 1+ ^2 & ^2 \\ 1-i & -1 & ^2-1 \\ -i & -1+ & -1 {array} |=\)2011Expansion of Determinants
  41. 414 boys and 2 girls occupy seats in a row at random. Then the probability that the two girls occupy seats side by side is2011Classical Definition of Probability
  42. 42A coin is tossed again and again. If tail appears on first three tosses, then the chance that head appears on fourth toss is2011Independent Events
  43. 43The coefficient of \(x^n\) in the expansion of \( {e^{7 x}+e^x}{e^{3 x}}\) is2011Summation of Series
  44. 44The sum of the series \( {1}{1.2}- {1}{2.3}+ {1}{3.4}- . \) is2011Summation of Series
  45. 45The number \((101)^{100}-1\) is divisible by2011Remainder and Divisibility Problems
  46. 46If \(A\) and \(B\) are coefficients of \(x^{ {n}}\) in the expansions of \((1+x)^{2 {n}}\) and \((1+x)^{2 {n}-1}\) respectively, then \( {A}2011Terms of Binomial Expansion
  47. 47If \( {n} > 1\) is an integer and \( {x} 0\), then \((1+ {x})^{ {n}}- {nx}-1\) is divisible by2011Remainder and Divisibility Problems
  48. 48If \({ }^n C_4,{ }^n C_5\) and \({ }^n C_6\) are in A.P., then \(n\) is2011Properties of Binomial Coefficients
  49. 49The number of diagonals in a polygon is 20 . The number of sides of the polygon is2011Geometric Permutation
  50. 50\({ }^{15} {C}_3+{ }^{15} {C}_5+ +{ }^{15} {C}_{15}=\)2011Sum of Series
  51. 51Let \( {a}, {b}, {c}\) be three real numbers such that \( {a}+2 {~b}+4 {c}=0\). Then the equation \( {ax}^2+ {bx}+ {c}=0\)2011Mean Value Theorem
  52. 52If the ratio of the roots of the equation \( {px}^2+ {qx}+ {r}=0\) is \(a: b\), then \( { {ab}}{( {a}+ {b})^2}=\)2011Relation between Roots and Coefficients
  53. 53If \( \) and \( \) are the roots of the equation \(x^2+x+1=0\), then the equation whose roots are \( ^{19}\) and \( ^7\) is2011Relation between Roots and Coefficients
  54. 54For the real parameter \(t\), the locus of the complex number \( {z}= (1- {t}^2 )+i {1+ {t}^2}\) in the complex plane is2011Locus
  55. 55If \(x+ {1}{x}=2 \), then for any integer \(n, x^n+ {1}{x^n}=\)2011Polar and Euler Form
  56. 56If \( 1\) is a cube root of unity, then the sum of the series \(S=1+2 +3 ^2+ . .+3 n ^{3 n-1}\) is2011Arithmetic Geometric Progression
  57. 57If \( _3 x+ _3 y=2+ _3 2\) and \( _3(x+y)=2\), then2011Logarithm
  58. 58If \( _7 2= \), then the value of \( _{49}(28)\) is2011Logarithm
  59. 59The sequence \( {a}, { {a}^2}{ {~b}}, { {a}^3}{ {~b}^2}, \). is2011Arithmetic Progression
  60. 60If in a triangle \(A B C, A, B, C\) are in A.P., then2011Mixed Question on AP and GP
  61. 61\( | {array}{lll}a-b & b-c & c-a \\ b-c & c-a & a-b \\ c-a & a-b & b-c {array} |=\)2011Expansion of Determinants
  62. 62The area enclosed between \(y^2=x\) and \(y=x\) is2011Area bounded by two curves
  63. 63Let \(f(x)=x^3 e^{-3 x}, x > 0\). Then the maximum value of \(f(x)\) is2011Maxima Minima
  64. 64The area bounded by \(y^2=4 x\) and \(x^2=4 y\) is2011Area bounded by two curves
  65. 65The acceleration of a particle starting from rest moving in a straight line with uniform acceleration is \(8 {~m} / {sec}^2\). The time take2011Rate Measure Error and Approximation
  66. 66The solution of \( {d y}{d x}= {y}{x}+ {y}{x}\) is2011Homogeneous DE
  67. 67Integrating Factor (I.F.) of the defferential equation \( {d y}{d x}- {3 x^2 y}{1+x^3}= { ^2(x)}{1+x} { is }\)2011Linear Differential Equation
  68. 68The differential equation of \( {y}= {ae}^{ {bx}}\) (a & \( {b}\) are parameters) is2011Formation of Differential Equation
  69. 69The value of \( _{n } _{r=1}^n {r^3}{r^4+n^4} { is }\)2011Miscellaneous
  70. 70The value of \( _0^ ^{50} x ^{49} x d x\) is2011Properties of Definite Integration
  71. 71\( 2^x (f^{ }(x)+f(x) 2 ) d x\) is2011Miscellaneous Forms
  72. 72Let \( {f}( {x})= ^{-1} {x}\). Then \( {f}^{ }( {x})+ {f}^{ }( {x})\) is \(=0\), when \( {x}\) is equal to2011Differentiation of Inverse Trigonometric Functions
  73. 73If \(y= ^{-1} { {1+x^2}-1}{x}\), then \(y^{ }(1)=\)2011Differentiation of Inverse Trigonometric Functions
  74. 74The value of \( _{x 1} {x+x^2+ +x^n-n}{x-1}\) is2011Algebraic and Rational Limits
  75. 75\( _{x 0} { ( ^2 x )}{x^2}=\)2011Trigonometric and Inverse Trigonometric limits
  76. 76If the function \(f(x)= {cases} {x^2-(A+2) x+A}{x-2} & { for } x 2 \\ 2 & { for } x=2 {cases}\) is continuous at \(x=2\), then2011Continuity
  77. 77\(f(x)= \{ {array}{cc}{[x]+[-x],} & { when } x 2 \\ & { when } x=2 {array} .\) If \(f(x)\) is continuous at \(x=2\), the value of \( \) will2011Continuity
  78. 78The even function of the following is2011Odd and Even Functions
  79. 79If \(f(x+2 y, x-2 y)=x y\), then \(f(x, y)\) is equal to2011Functional Equation
  80. 80The locus of the middle points of all chords of the parabola \(y^2=4\) ax passing through the vertex is2011Locus

Physics

  1. 1The charge on the capacitor of capacitance \( {C}\) shown in the figure below will be2011Charging and Discarging of capacitors
  2. 2The resistance across \(A\) and \(B\) in the figure below will be2011Resistance and Resistivity
  3. 3Five equal resistance, each of resistance \( {R}\), are connected as shown in figure below. A battery of \( {V}\) volt is connected between 2011Wheatstone Bridge
  4. 4Two cells with the same e.m.f. \(E\) and different internal resistances \(r_1\) and \(r_2\) are connected in series to an external resistanc2011Kirchoffs Laws
  5. 5Current through \( {ABC}\) and \( {A}^{ } {B}^{ } {C}^{ }\) is \( {I}\). What is the magnetic field at \( {P}\) ? \( {BP}= {PB}^{ }= {r} ( .2011Magnetic Field
  6. 6The magnetic field at the point of intersection of diagonals of a square wire loop of side \( {L}\) carrying a current \( {I}\) is2011Magnetic Field
  7. 7In an inelastic collision an electron excites as hydrogen atom from its ground state to a M-shell state. A second electron collides instanta2011Bohr's Atomic Model
  8. 8A radioactive nucleus of mass number A, initially at rest, emits an \( \)-particle with a speed \(v\). The recoil speed of the daughter nucl2011Radioactivity
  9. 9In the nuclear reaction \({ }_7^{14} {~N}+ {X} { }_6^{14} {C}+{ }_1^1 {H}\) the \( {X}\) will be2011Nuclear reactions
  10. 10Which type of Gate the following truth table represents?2011Logic gates
  11. 11Given \( { {A}}=2 { {i}}+3 { {j}}\) and \( { {B}}= { {i}}+ { {j}}\). The component of vector \( { {A}}\) along vector \( { {B}}\) is2011Addition and Subtraction of Vectors
  12. 12A cubical vessel of height \(1 {~m}\) is full of water. What is the amount of work done in pumping water out of the vessel? (Take \( {g}=\) 2011Energy
  13. 13A stone of relative density \( {K}\) is released from rest on the surface of a lake. If viscous effects are ignored, the stone sinks in wate2011Archmidies Principle
  14. 14If a person can throw a stone to maximum height of \( {h}\) metre vertically, then the maximum distance through which it can be thrown horiz2011Projectile motion
  15. 15A body of mass \(6 {~kg}\) is acted upon by a force which causes a displacement in it given by \(x= {t^2}{4}\) metre where \(t\) is the time2011Work done
  16. 16A box is moved along a straight line by a machine delivering constant power. The distance moved by the body in time \( {t}\) is proportional2011Power
  17. 17A particle is moving with a constant speed \(v\) in a circle. What is the magnitude of average velocity after half rotation?2011Rest and Motion
  18. 18A cricket ball of mass \(0.25 {~kg}\) with speed \(10 {~m} / {s}\) collides with a bat and returns with same speed within \(0.01 {~S}\). The2011Newton's laws of motion
  19. 19If the Earth were to suddenly contract to \( {1}{n}\) th of its present radius without any change in its mass, the duration of the new day w2011Angular momentum and Angular impulse
  20. 20If \( {g}\) is the acceleration due to gravity on the surface of the earth, the gain in potential energy of an object of mass \( {m}\) raise2011Gravitational potential and Potential Energy
  21. 21A material has Poisson's ratio 0.50. If a uniform rod of it suffers a longitudinal strain of \(2 10^{-3}\), then the percentage change in vo2011Bulk Modulus
  22. 22Two identical springs are connected to mass \( {m}\) as shown \(( {k}=\) spring constant). If the period of the configuration in (a) is \(2 2011Time Period and Frequency
  23. 23An object weighs \( {m}_1\) in a liquid of density \( {d}_1\) and that in liquid of density \( {d}_2\) is \( {m}_2\). The density \(d\) of t2011Archmidies Principle
  24. 24A body floats in water with \(40 \%\) of its volume outside water. When the same body floats in an oil, \(60 \%\) of its volume remains outs2011Archmidies Principle
  25. 25Two soap bubbles of radii \( {x}\) and \( {y}\) coalesee to constitute a bubble of radius \( {z}\). Then \( {z}\) is requal to2011Surface tension
  26. 26A particle of mass \(m\) is located in a one dimensional potential field where potential energy is given by : \( {V}( {x})= {A}(1- {px})\), 2011Time Period and Frequency
  27. 27The period of oscillation of a simple pendulum of length \(l\) suspended from the roof of a vehicle, which moves without friction down an in2011Time Period and Frequency
  28. 28In Young's double slit experiment the two slits are d distance apart. Interference pattern is observed on a screen at a distance D from the 2011Youngs Double Slit Experiment
  29. 29A plane progressive wave is given by \(y=2 6.284(330 {t}- {x})\). What is period of the wave?2011Travelling Waves
  30. 30The displacement of a particle in S.H.M. varies according to the relation \(x=4( t+ {t})\). The amplitude of the particle is2011Simple Harmonic Motion
  31. 31Two temperature scales \( {A}\) and \( {B}\) are related by \( { {A}-42}{110}= { {B}-72}{220}\). At which temperature two scales have the sa2011Thermometry
  32. 32An ideal gas is compressed isothermally until its pressure is doubled and then allowed to expand adiabatically to regain its original volume2011Thermodynamic Processes
  33. 33Air inside a closed container is saturated with water vapour. The air pressure is \( {p}\) and the saturated vapour pressure of water is \( 2011Gas Laws
  34. 34\(1.56 10^5 {~J}\) of heat is conducted through a \(2 {~m}^2\) wall of \(12 {~cm}\) thick in one hour. Temperature difference between the tw2011Conduction
  35. 35A diver at a depth of \(12 {~m}\) in water \( ( = {4}{3} )\) sees the sky in a cone of semivertical angle :2011Critical angle and total internal reflection
  36. 36Two thin lenses of focal lengths \(20 {~cm}\) and \(25 {~cm}\) are placed in cotact. The effective power of the combination is2011Lens Formula, Refraction of light from curved surface
  37. 37A convex lens of focal length \(30 {~cm}\) produces 5 times magnified real image of an object. What is the object distance ?2011Lens Formula, Refraction of light from curved surface
  38. 38If the focal length of the eye piece of a telescope is doubled, its magnifying power \(( {m})\) will be2011Optical Instruments
  39. 39A plano-concave lens is made of glass of refractive index 1.5 and the radius of curvature of its curved face is \(100 {~cm}\). What is the p2011Lens Formula, Refraction of light from curved surface
  40. 40Four charges equal to \(-Q\) are placed at the four corners of a square and a charge \(q\) is at its centre. If the system is in equilibrium2011Electric Charge and Coulomb's law

Frequently Asked Questions

1.How many questions are in the WBJEE 2011 paper?

This paper has 160 questions in total - 40 from Chemistry, 80 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 2011 paper structured?

The WBJEE 2011 paper on MARKS has 160 questions, organised by subject:

  • Chemistry: 40 questions - 40 single-correct.
  • Mathematics: 80 questions - 80 single-correct.
  • Physics: 40 questions - 40 single-correct.
4.How difficult is the WBJEE 2011 paper?

Each question on MARKS carries a difficulty rating. Of the 160 rated questions in this paper, 73 (46%) are easy, 57 (36%) are medium and 30 (19%) are hard. Subject wise:

  • Chemistry: 20 easy, 14 medium, 6 hard
  • Mathematics: 37 easy, 28 medium, 15 hard
  • Physics: 16 easy, 15 medium, 9 hard
5.Which chapters were asked the most in the WBJEE 2011 paper?

The chapters with the most questions in each subject were:

  • Chemistry: Chemical Bonding and Molecular Structure (5), Structure of Atom (5), and Hydrocarbons (4).
  • Mathematics: Application of Derivatives (8), Differential Equations (6), and Binomial Theorem (5).
  • Physics: Ray Optics (5), Mechanical Properties of Fluids (4), and Oscillations (4).
6.Where can I find the solutions for the WBJEE 2011 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 2011 paper to check my preparation?

Set a timer, attempt the 160 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 2011 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.