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JEE Main 2004

Browse the complete Chemistry, Mathematics, and Physics question set from the JEE Main 2004 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 225 questions in total - 88 easy (39%), 106 moderate (47%) and 31 tough (14%). That's a fairly typical mix for this exam. By subject: Physics 45% easy, 36% moderate, 20% tough; Chemistry 37% easy, 53% moderate, 9% tough; Mathematics 35% easy, 53% moderate, 12% tough.

Chemistry questions were spread across 29 chapters, with General Organic Chemistry (8), Chemical Bonding and Molecular Structure (7), and Electrochemistry (6) carrying the most weight. Mathematics questions were spread across 28 chapters, with Vector Algebra (9), Application of Derivatives (5), and Definite Integration (4) carrying the most weight. Physics questions were spread across 27 chapters, with Work Power Energy (7), Current Electricity (6), and Electrostatics (5) carrying the most weight.

Chemistry

  1. 1Which of the following sets of quantum numbers is correct for an electron in orbital?2004Quantum mechanical model
  2. 2Consider the ground state of atom . The number of electrons with the azimuthal quantum numbers and 2 are respectively2004Quantum mechanical model
  3. 3Which one the following ions has the highest value of ionic radius?2004Periodic properties
  4. 4The wavelength of the radiation emitted, when in hydrogen atom electron falls from infinity to stationary state 1 , would be (Rydberg consta2004Hydrogen spectrum
  5. 5The correct order of bond angles (smallest first) in and is2004Hybridisation and VSEPR Theory
  6. 6Which one the following sets of ions represents the collection of isoelectronic species?2004Atomic Mass and Atomic Size
  7. 7Among and the correct order of acid strength is2004Theories of Acids and Bases
  8. 8The bond order in is while that in is 3 . Which of the following statements is true for these two species?2004Molecular Orbital Theory
  9. 9The formation of the oxide ion requires first an exothermic and then an endothermic step as shown below2004Laws of Thermochemistry and Enthalpy Change
  10. 10The states of hybridization of boron and oxygen atoms in boric acid are respectively2004Hybridisation and VSEPR Theory
  11. 11Which one of the following has the regular tetrahedral structure?2004Hybridisation and VSEPR Theory
  12. 12Of the following outer electronic configurations of atoms, the highest oxidation state is achieved by which one of them?2004Properties of D-block elements
  13. 13As the temperature is raised from to , the average kinetic energy of neon atoms changes by a factor of which of the following?2004Kinetic theory of gases
  14. 14The maximum number of angles between bond pair of electrons is observed in2004Hybridisation and VSEPR Theory
  15. 15Which one of the following aqueous solutions will exhibit highest boiling point?2004Properties of ionic compounds
  16. 16Which among the following factors is the most important in making fluorine the strongest oxidizing halogen?2004Halogens and Its Compounds
  17. 17In Vander Waals equation of state of the gas law, the constant ' ' is a measure of2004Real Gases and Van der Waal's Equation
  18. 18The conjugate base of is2004Theories of Acids and Bases
  19. 19molecules of urea are present in of its solution. The concentration of urea solution is2004Concentration terms
  20. 20To neutralize completely of aqueous solution of phosphorous acid , the volume of aqueous solution required is2004Concentration terms
  21. 21For which of the following parameters the structural isomers and would be expected to have the same values? (Assume ideal behaviour)2004Isomerism of Organic Compounds
  22. 22Which of the following liquid pairs shows a positive deviation from Raoult's law?2004Vapour pressure and raoult's law
  23. 23Which one of the following statements is false?2004Disaccharides and Polysaccharides
  24. 24What type of crystal defect is indicated in the diagram below?2004Stoichiometric defects
  25. 25An ideal gas expands in volume from to at against a constant pressure of . The work done is2004First Law and Basic Fundamentals of Thermodynamics
  26. 26In hydrogen - oxygen fuel cell, combustion of hydrogen occurs to2004Commercial Cells and Batteries
  27. 27In first order reaction, the concentration of the reactant decreases from to in 15 minutes. The time taken for the concentration to change f2004Integrated rate laws
  28. 28What is the equilibrium expression for the reaction ?2004Law of Mass Action, Equilibrium Constant (Kc and Kp) and its Application
  29. 29For the reaction, the is equal to2004Law of Mass Action, Equilibrium Constant (Kc and Kp) and its Application
  30. 30The equilibrium constant for the reaction at temperature is . The value of for the reaction at the same temperature is2004Law of Mass Action, Equilibrium Constant (Kc and Kp) and its Application
  31. 31The rate equation for the reaction is found to be: rate . The correct statement in relation to this reaction is that the2004Rate of reaction
  32. 32Consider the following values Under standard conditions the potential for the reaction is2004Cells and Electrode Potential, Nernst Equation
  33. 33The molar solubility product is . ' ' is given in terms of by the relation2004Solubility
  34. 34The standard e.m.f of a cell, involving one electron change is found to be at . The equilibrium constant of the reaction is2004Cells and Electrode Potential, Nernst Equation
  35. 35The enthalpies of combustion of carbon and carbon monoxide are and respectively. The enthalpy of formation of carbon monoxide per mole is2004Laws of Thermochemistry and Enthalpy Change
  36. 36The limiting molar conductivities for and are 126,152 and respectively. The for is2004Conductance and Conductivity
  37. 37In a cell that utilises the reaction addition of to cathode compartment, will2004Types of half cells
  38. 38Which one the following statement regarding helium is incorrect?2004Noble Gases
  39. 39Identify the correct statements regarding enzymes2004Enzymes and Receptors
  40. 40One mole of magnesium nitride on the reaction with an excess of water gives2004Nitrogen and Its Compounds
  41. 41Which one of the following ores is best concentrated by froth - floatation method?2004Concentration of the Ore
  42. 42Beryllium and aluminium exhibit many properties which are similar. But the two elements differ in2004Properties of S-block elements
  43. 43Aluminium chloride exists as dimer, in solid state as well as in solution of non-polar solvents such as benzene. When dissolved in water, it2004Aluminium and Its Compounds
  44. 44The soldiers of Napolean army while at Alps during freezing winter suffered a serious problem as regards to the tin buttons of their uniform2004Tin and Lead Containing Compounds
  45. 45The values for and Co are and respectively. For which one of these metals the change in oxidation state form to is easiest?2004Cells and Electrode Potential, Nernst Equation
  46. 46Excess of reacts with solution and then solution is added to it. Which of the statements is incorrect for this reaction?2004Oxidation and Reduction Reactions
  47. 47Among the properties (a) reducing (b) oxidising (c) complexing, the set of properties shown by ion towards metal species is2004Oxidation and Reduction Reactions
  48. 48The coordination number of central metal atom in a complex is determined by2004Terminology of coordination compounds
  49. 49Which one of the following complexes in an outer orbital complex?2004Crystal Field Theory
  50. 50Coordination compound have great importance in biological systems. In this context which of the following statements is incorrect?2004Carbonyl Compounds
  51. 51Cerium is an important member of the lanthanoids. Which of the following statements about cerium is incorrect?2004F-Block elements
  52. 52Which one the following has largest number of isomers?2004Isomerism of coordination compounds
  53. 53The correct order of magnetic moments (spin only values in B.M.) among is2004Crystal Field Theory
  54. 54Consider the following nuclear reactions The number of neutrons in the element is2004Periodic properties
  55. 55The half - life of a radioisotope is four hours. If the initial mass of the isotope was , the mass remaining after 24 hours undecayed is2004Integrated rate laws
  56. 56The compound formed in the positive test for nitrogen with the Lassaigne solution of an organic compound is2004Qualitative analysis of organic compounds
  57. 57The ammonia evolved from the treatment of of an organic compound for the estimation of nitrogen was passed in of sulphuric acid. The excess 2004Quantitative analysis of organic compounds
  58. 58Which one of the following has the minimum boiling point?2004Properties and Preparation of Alkanes
  59. 59The IUPAC name of the compound2004IUPAC Nomenclature
  60. 60Which one the following does not have hybridized carbon?2004Hybridisation and VSEPR Theory
  61. 61Which of the following will have meso-isomer also?2004Isomerism of Organic Compounds
  62. 62Rate of the reaction2004Attacking reagents
  63. 63Amongst the following compound, the optically active alkane having lowest molecular mass is2004Isomerism of Organic Compounds
  64. 64Consider the acidity of the carboxylic acids:2004Preparation and Properties of Carboxylic Acids
  65. 65Which of the following is the strongest base?2004Preparation and Properties of Amines
  66. 66Which base is present in RNA but not in DNA?2004Nucleic Acids
  67. 67The compound formed on heating chlorobenzene with chloral in the presence concentrated sulphuric acid is2004Preparation and Properties of Aryl Halides
  68. 68On mixing ethyl acetate with aqueous sodium chloride, the composition of the resultant solution is2004Reactions Involving Acid Group
  69. 69Acetyl bromide reacts with excess of followed by treatment with a saturated solution of given2004Preparation and Properties of Alcohols
  70. 70Which one of the following reduced with zinc and hydrochloric acid to give the corresponding hydrocarbon?2004Chemical reactions for aldehydes and ketones
  71. 71Which of the following undergoes reaction with sodium hydroxide solution to give the corresponding alcohol and acid?2004Reactions Involving Acid Group
  72. 72Among the following compound which can be dehydrated very easily is2004Reactions of Alcohols
  73. 73Which of the following compound is not chiral?2004Isomerism of Organic Compounds
  74. 74Insulin production and its action in human body are responsible for the level of diabetes. This compound belongs to which of the following c2004Enzymes and Receptors
  75. 75The smog is essentially caused by the presence of2004Air Pollution

Mathematics

  1. 1Let be a relation on the set . The relation is2004Questions on Symmetric Transitive and Reflexive Properties
  2. 2The range of the function is2004Range
  3. 3Let , be complex numbers such that and . Then arg equals2004Conjugate, modulus and argument
  4. 4If and , then is equal to2004Algebra of complex numbers
  5. 5If , then lies on2004Geometry of Complex Number
  6. 6Let The only correct statement about the matrix is2004Formation and Basic of Matrix
  7. 7Let . If2004Inverse of a Matrix
  8. 8If . are in G.P., then the value of the determinant2004Expansion of Determinants
  9. 9Let two numbers have arithmetic mean 9 and geometric mean 4. Then these numbers are the roots of the quadratic equation2004Relation between Roots and Coefficients
  10. 10If is a root of quadratic equation , then its roots are2004Relation between Roots and Coefficients
  11. 11Let . Then which of the following is true?2004Mathematical Induction
  12. 12How many ways are there to arrange the letters in the word GARDEN with the vowels in alphabetical order?2004Arrangement under Constraint
  13. 13The number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty is2004Division and Distribution of Distinct Items
  14. 14If one root of the equation is 4 , while the equation has equal roots, then the value of ' ' is2004Relation between Roots and Coefficients
  15. 15The coefficient of the middle term in the binomial expansion in powers of of and of is the same if equals2004Terms of Binomial Expansion
  16. 16The coefficient of in expansion of is2004Terms of Binomial Expansion
  17. 17If and , then is equal to2004Sum of Series
  18. 18Let be the rth term of an A.P. whose first term is a and common difference is . If for some positive integers and , then equals2004Arithmetic Progression
  19. 19The sum of the first terms of the series is when is even. When is odd the sum is2004Summation of Series
  20. 20The sum of series is2004Summation of Series
  21. 21Let be such that . If and , then the value of is2004Basic Identities & T Ratios
  22. 22If , then the difference between the maximum and minimum values of is given by2004Inequalities
  23. 23The sides of a triangle are and for some . Then the greatest angle of the triangle is2004Circle and Polygon
  24. 24A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank of the river is and 2004Heights and Distances
  25. 25If , defined by , is onto, then the interval of is2004Types of Function (Mapping)
  26. 26The graph of the function is symmetrical about the line , then2004Number of Solutions
  27. 27The domain of the function is2004Domain
  28. 28If , then the values of and , are2004Exponential and logarithmic limits
  29. 29Let . If is continuous in , then is2004Trigonometric and Inverse Trigonometric limits
  30. 30If , then is2004Differentiation of composite functions
  31. 31A point on the parabola at which the ordinate increases at twice the rate of the abscissa is2004Maxima Minima
  32. 32A function has a second order derivative . If its graph passes through the point and at that point the tangent to the graph is , then the fu2004Maxima Minima
  33. 33The normal to the curve at ' ' always passes through the fixed point2004Tangent Normal
  34. 34If , then at least one root of the equation lies in the interval2004Maxima Minima
  35. 35is2004Miscellaneous
  36. 36If , then value of is2004Integration by Substitution
  37. 37is equal to2004Integration by Substitution
  38. 38The value of is2004Properties of Definite Integration
  39. 39The value of is2004Properties of Definite Integration
  40. 40If , then is2004Definite Integration by Substitution
  41. 41If and then the value of is2004Definite Integration by Substitution
  42. 42The area of the region bounded by the curves and the -axis is2004Area bounded by two curves
  43. 43The differential equation for the family of curves , where is an arbitrary constant is2004Formation of Differential Equation
  44. 44The solution of the differential equation is2004Linear Differential Equation
  45. 45Let and be vertices of a triangle . If the centroid of this triangle moves on the line , then the locus of the vertex is the line2004Locus
  46. 46The equation of the straight line passing through the point and making intercepts on the co-ordinate axes whose sum is is2004Basic Forms of Straight Line
  47. 47If the sum of the slopes of the lines given by is four times their product, then has the value2004Tangent Normal
  48. 48If one of the lines given by is , then equals2004Locus
  49. 49If a circle passes through the point and cuts the circle orthogonally, then the locus of its centre is2004Intersection of Circles
  50. 50A variable circle passes through the fixed point and touches -axis. The locus of the other end of the diameter through is2004General Equation of 2nd degree curve
  51. 51If the lines and lie along diameters of a circle of circumference , then the equation of the circle is2004line and circle
  52. 52The intercept on the line by the circle is . Equation of the circle on as a diameter is2004line and circle
  53. 53If and the line passes through the points of intersection of the parabolas and , then2004Line and parabola
  54. 54The eccentricity of an ellipse, with its centre at the origin, is . If one of the directrices is 4 , then the equation of the ellipse is2004Equation of Ellipse
  55. 55A line makes the same angle , with each of the and axis. If the angle , which it makes with -axis, is such that , then equals2004Angle between Lines
  56. 56Distance between two parallel planes and is2004Plane in Space
  57. 57A line with direction cosines proportional to meets each of the lines and . The co-ordinates of each of the point of intersection are given 2004Direction Cosines and Direction Ratios
  58. 58If the straight lines and with parameters and respectively, are co-planar then equals2004Algebra of Vectors
  59. 59The intersection of the spheres and is the same as the intersection of one of the sphere and the plane2004Line and Plane
  60. 60Let and be three non-zero vectors such that no two of these are collinear. If the vector is collinear with and is collinear with ( being som2004Algebra of Vectors
  61. 61A particle is acted upon by constant forces and which displace it from a point to the point . The work done in standard units by the forces 2004Product of 2 vectors
  62. 62If are non-coplanar vectors and is a real number, then the vectors and are non-coplanar for2004Algebra of Vectors
  63. 63Let be such that . If the projection along is equal to that of along and are perpendicular to each other then equals2004Direction Cosines and Direction Ratios
  64. 64Let and be non-zero vectors such that . If is the acute angle between the vectors and , then equals2004Algebra of Vectors
  65. 65Consider the following statements: Mode can be computed from histogram Median is not independent of change of scale Variance is independent 2004Statistics
  66. 66In a series of observations, half of them equal a and remaining half equal . If the standard deviation of the observations is 2 , then equal2004Mean Square Deviation
  67. 67The probability that A speaks truth is , while this probability for is . The probability that they contradict each other when asked to speak2004Conditional Probability and Multiplication Theorem
  68. 68A random variable has the probability distribution: {array}{|c|c|c|c|c|c|c|c|c|} {X}: & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ {p}( {X}): & 0.15 &2004Random Variable and its Probability Distribution
  69. 69The mean and the variance of a binomial distribution are 4 and 2 respectively. Then the probability of 2 successes is2004Bernoulli Trial and Binomial Distribution
  70. 70With two forces acting at a point, the maximum effect is obtained when their resultant is . If they act at right angles, then their resultan2004Product of 2 vectors
  71. 71In a right angle and sides a, b, c are respectively, and . If a force has moments 0,9 and 16 in cm. units respectively about vertices and , 2004Algebra of Vectors
  72. 72Three forces and acting along IA, IB and IC, where I is the incentre of a , are in equilibrium. Then is2004Algebra of Vectors
  73. 73A particle moves towards east from a point to a point at the rate of and then towards north from to at the rate of . If and , then its avera2004Heights and Distances
  74. 74A velocity is resolved into two components along and making angles and respectively with the given velocity. Then the component along is2004Algebra of Vectors

Physics

  1. 1Which one of the following represents the correct dimensions of the coefficient of viscosity?2004Dimensions
  2. 2A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement is pr2004Energy
  3. 3A ball is released from the top of a tower of height metres. It takes seconds to reach the ground. What is the position of the ball in secon2004Motion Under Gravity
  4. 4If , then the angle between and is2004Multiplication of Vectors
  5. 5A projectile can have the same range for two angles of projection. If and be the time of flights in the two cases, then the product of the t2004Projectile motion
  6. 6Which of the following statements is false for a particle moving in a circle with a constant angular speed?2004Circular motion
  7. 7An automobile travelling with speed of , can brake to stop within a distance of . If the car is going twice as fast, i.e , the stopping dist2004Uniform Motion
  8. 8A machine gun fires a bullet of mass with a velocity . The man holding it can exert a maximum force of on the gun. How many bullets can he f2004Newton's laws of motion
  9. 9Two masses and tied to a string are hanging over a light frictionless pulley. What is the acceleration of the masses when lift free to move2004Newton's laws of motion
  10. 10A uniform chain of length is kept on a table such that a length of hangs freely from the edge of the table. The total mass of the chain is .2004Work done
  11. 11A block rests on a rough inclined plane making an angle of with the horizontal. The coefficient of static friction between the block and the2004Frictional force
  12. 12A force is applied over a particle which displaces it from its origin to the point . The work done on the particle in joules is2004Work done
  13. 13A body of mass , accelerates uniformly from rest to in time . The instantaneous power delivered to the body as a function of time is2004Power
  14. 14A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle, the motion of the p2004Work done
  15. 15A solid sphere is rotating in free space. If the radius of the sphere is increased keeping mass same which one of the following will not be 2004Angular momentum and Angular impulse
  16. 16A ball is thrown from a point with a speed at an angle of projection . From the same point and at the same instant person starts running wit2004Uniform Motion
  17. 17One solid sphere A and another hollow sphere B are of same mass and same outer radii. Their moment of inertia about their diameters are resp2004Moment of inertia of rigid bodies
  18. 18A satellite of mass revolves around the earth of radius at a height from its surface. If is the acceleration due to gravity on the surface o2004Motion of satellite
  19. 19The time period of an earth satellite in circular orbit is independent of2004Motion of satellite
  20. 20If is the acceleration due to gravity on the earth's surface, the gain in the potential energy of object of mass raised from the surface of 2004Gravitational potential and Potential Energy
  21. 21Suppose the gravitational force varies inversely as the nth power of distance. Then the time period planet in circular orbit of radius aroun2004Gravitational field
  22. 22A wire fixed at the upper end stretches by length by applying a force F. The work done in stretching is2004Work done
  23. 23Spherical balls of radius are falling in a viscous fluid of viscosity with a velocity . The retarding viscous force acting on the spherical 2004Viscosity
  24. 24If two soap bubbles of different radii are connected by a tube,2004Surface tension
  25. 25The bob of a simple pendulum executes simple harmonic motion in water with a period , while the period of oscillation of the bob is in air. 2004Time Period and Frequency
  26. 26A particle at the end of a spring executes simple harmonic motion with a period , while the corresponding period for another spring is . If 2004Time Period and Frequency
  27. 27The total energy of particle, executing simple harmonic motion is2004Energy of Simple Harmonic Motion
  28. 28The displacement y of a particle in a medium can be expressed as , where is in seconds and in meter. The speed of the wave is2004Travelling Waves
  29. 29A particle of mass is attached to a spring (of spring constant ) and has a natural angular frequency . An external force proportional to is 2004Angular oscillations
  30. 30In forced oscillation of a particle the amplitude is maximum for a frequency of the force, while the energy is maximum for a frequency of th2004Superposition of S.H.M's and Resonance
  31. 31One mole of ideal monoatomic gas is mixed with one mole of diatomic gas . What is for the mixture? denotes the ratio of specific heat at con2004Degree of Freedom and Specific Heat
  32. 32If the temperature of the sun were to increase from to and its radius from to , then the ratio of the radiant energy received on earth to wh2004Radiation
  33. 33Which of the following statements is correct for any thermodynamic system?2004Thermodynamic Systems
  34. 34Two thermally insulated vessels 1 and 2 are filled with air at temperatures , volume and pressure respectively. If the valve joining two ves2004Gas Laws
  35. 35A radiation of energy falls normally on a perfectly reflecting surface. The momentum transferred to the surface is2004Photoelectric Effect
  36. 36The temperature of two outer surfaces of a composite slab, consisting of two materials having coefficients of thermal conductivity and and t2004Conduction
  37. 37A light ray is incident perpendicular to one face of a prism and is totally internally reflected at the glass-air interface. If the angle of2004Prism and Dispersion of Light
  38. 38A plane convex lens of refractive index and radius of curvature is silvered at the curved surface. Now this lens has been used to form the i2004Lens Formula, Refraction of light from curved surface
  39. 39The angle of incidence at which reflected light totally polarized for reflection from air to glass (refractive index ), is2004Polarization of Light
  40. 40The maximum number of possible interference maxima for slit-separation equal to twice the wavelength in Young's double-slit experiment is2004Youngs Double Slit Experiment
  41. 41An electromagnetic wave of frequency passes from vacuum into a dielectric medium with permittivity . Then2004Electromagnetic Waves and Maxwell's equations
  42. 42Two spherical conductor and having equal radii and carrying equal charges in them repel each other with a force when kept apart at some dist2004Electric Charge and Coulomb's law
  43. 43A charged particle is shot towards another charged particle which is fixed, with a speed it approaches upto a closest distance and then retu2004Electric Potential and Potential Energy
  44. 44Four charges equal to are placed at the four corners of a square and a charge is at its centre. If the system is in equilibrium the value of2004Electric Field and Electric Field Lines
  45. 45Alternating current can not be measured by D.C. ammeter because2004Transformers
  46. 46The total current supplied to the circuit by the battery is2004Combination of Resistances
  47. 47The resistance of the series combination of two resistances is . When they are joined in parallel through total resistance is . If , then th2004Combination of Resistances
  48. 48An electric current is passed through a circuit containing two wires of the same material, connected in parallel. If the length and radii of2004Combination of Resistances
  49. 49In a metre bridge experiment null point is obtained at from one end of the wire when resistance is balanced against another resistance . If 2004Wheatstone Bridge
  50. 50The thermistors are usually made of2004Conduction
  51. 51Time taken by a heater to heat one litre of water from to is2004Thermometry
  52. 52The thermo emf of a thermocouple varies with the temperature of the hot junction as in volts where the ratio is . If the cold junction is ke2004Conduction
  53. 53The electrochemical equivalent of a metal is per coulomb. The mass of the metal liberated at the cathode when a 3 A current is passed for 2 2004Electric Power and Heating Effect of Current
  54. 54A current I ampere flows along an infinitely long straight thin-walled tube, then the magnetic induction at any point inside the tube is2004Magnetic Field
  55. 55A long wire carries a steady current. It is bent into a circle of one turn and the magnetic field at the centre of the coil is . It is then 2004Magnetic Field
  56. 56The magnetic field due to a current carrying circular loop of radius at a point on the axis at a distance of from the centre is . What will 2004Magnetic Field
  57. 57Two long conductors, separated by a distance carry current and in the same direction. They exert a force on each other. Now the current in o2004Force and Torque on Current Carrying Conductor
  58. 58The length of a magnet is large compared to its width and breadth. The time period of its width and breadth. The time period of its oscillat2004Magnetism and Properties of Magnet
  59. 59The materials suitable for making electromagnets should have2004Magnetic Materials and their Properties
  60. 60In an LCR series a.c. circuit, the voltage across each of the components, and is . The voltage across the LC combination will be2004AC Circuits
  61. 61A coil having turns and resistance . This combination is moved in time seconds from a magnetic field weber to weber. The induced current in 2004Induced Electric Field
  62. 62In a uniform magnetic field of induction a wire in the form of semicircle of radius rotates about the diameter of the circle with angular fr2004Magnetic Flux, Faraday's and Lenz law
  63. 63In a LCR circuit capacitance is changed from to . For the resonant frequency to remain unchanged, the inductance should be changed from to2004AC Circuits
  64. 64A metal conductor of length rotates vertically about one of its ends at angular velocity 5 radians per second. If the horizontal component o2004Motional and Rotational EMF
  65. 65According to EInstein's photoelectric equation, the plot of the kinetic energy of the emitted photo electrons from a metal the frequency, of2004Photoelectric Effect
  66. 66The work function of a substance is . Then longest wavelength of light that can cause photoelectron emission from this substance approximate2004Photoelectric Effect
  67. 67A charged oil drop is suspended in a uniform field of so that it neither falls nor rises. The charge on the drop will be (take the mass of t2004Electric Field and Electric Field Lines
  68. 68A nucleus disintegrates into two nuclear parts which have their velocities in the ratio . The ratio of their nuclear sizes will be2004Nuclear structure
  69. 69The binding energy per nucleon of deuteron and helium nucleus is and respectively. If two deuteron nuclei react to form a single helium nucl2004Nuclear reactions
  70. 70An -particle of energy is scattered through by a fixed uranium nucleus. The distance of the closest approach is of the order of2004Electric Potential and Potential Energy
  71. 71When npn transistor is used as amplifier2004Junction Transistors
  72. 72For a transistor amplifier in common emitter configuration having load impedance of and ) the current gain is2004Junction Transistors
  73. 73A piece of copper and another of germanium are cooled from room temperature to , the resistance of2004Resistance and Resistivity
  74. 74The manifestation of band structure in solids is due to2004Atomic Structure
  75. 75When p-n junction diode is forward biased2004Diodes
  76. 76If and are the times of flight of two particles having the same initial velocity and range on the horizontal, then is equal to2004Projectile motion

Frequently Asked Questions

1.How many questions are in the JEE Main 2004 paper?

This paper has 225 questions in total - 75 from Chemistry, 74 from Mathematics, and 76 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 JEE Main 2004 paper?

The JEE Main 2004 paper on MARKS has 225 questions, organised by subject:

  • Chemistry: 75 questions - 75 single-correct.
  • Mathematics: 74 questions - 74 single-correct.
  • Physics: 76 questions - 76 single-correct.
4.What is the difficulty level of the JEE Main 2004 paper?

Each question on MARKS carries a difficulty rating. Of the 225 rated questions in this paper, 88 (39%) are easy, 106 (47%) are medium and 31 (14%) are hard. Subject wise:

  • Chemistry: 28 easy, 40 medium, 7 hard
  • Mathematics: 26 easy, 39 medium, 9 hard
  • Physics: 34 easy, 27 medium, 15 hard
5.Which chapters had the most questions in the JEE Main 2004 paper?

The chapters with the most questions in each subject were:

  • Chemistry: General Organic Chemistry (8), Chemical Bonding and Molecular Structure (7), and Electrochemistry (6).
  • Mathematics: Vector Algebra (9), Application of Derivatives (5), and Definite Integration (4).
  • Physics: Work Power Energy (7), Current Electricity (6), and Electrostatics (5).
6.Are there any out-of-syllabus questions in the JEE Main 2004 paper?

Yes. 29 of the 225 questions in this paper are marked on MARKS as outside the current syllabus. You can still practise them for the concept, but they are a lower priority if you are short on time.

7.Where can I find the solutions for the JEE Main 2004 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.

8.How should I use the JEE Main 2004 paper to check my preparation?

Set a timer, attempt the 225 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 JEE Main. Repeating this with other papers shows whether the same weak spots keep coming back.

9.Will the JEE Main 2004 paper help me prepare for JEE Main 2027?

Yes. Every past paper shows the question styles and topics JEE Main 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.