Jump to a section

JEE Main 2003

Browse the complete Chemistry, Mathematics, and Physics question set from the JEE Main 2003 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 - 90 easy (40%), 108 moderate (48%) and 27 tough (12%). That's an easier-than-usual mix for this exam - aim to clear it quickly and save time for the harder papers. By subject: Physics 50% easy, 36% moderate, 14% tough; Chemistry 47% easy, 51% moderate, 3% tough; Mathematics 22% easy, 58% moderate, 19% tough.

Chemistry questions were spread across 27 chapters, with d and f Block Elements (7), General Organic Chemistry (6), and Thermodynamics (C) (5) carrying the most weight. Mathematics questions were spread across 25 chapters, with Vector Algebra (10), Definite Integration (6), and Sequences and Series (5) carrying the most weight. Physics questions were spread across 28 chapters, with Current Electricity (8), Laws of Motion (7), and Nuclear Physics (5) carrying the most weight.

Chemistry

  1. 1Which of the following could act as apropellant for rockets?2003Vapour pressure and raoult's law
  2. 2The reaction of chloroform with alcoholic and p-toluidine forms2003Method of preparation for both aldehydes and ketones
  3. 3Nylon threads are made of2003Preparation and Properties of Polymers
  4. 4The correct order of increasing basic nature for the bases and is2003Preparation and Properties of Amines
  5. 5Bottles containing l and lost their original labels. They were labelled and for testing and were separately taken in test tubes and boiled w2003Qualitative analysis of organic compounds
  6. 6The internal energy change when a system goes from state to is . If the system goes from to by a reversible path and retums to state by an i2003First Law and Basic Fundamentals of Thermodynamics
  7. 7If at the bond energies of and bonds are respectively and , the value of enthalpy change for the reaction at will be2003Laws of Thermochemistry and Enthalpy Change
  8. 8The radionucleide undergoes two successive -decays followed by one -decay. The atomic number and the mass number respectively of the resulti2003Periodic properties
  9. 9The half-life of a radioactive isotope is three hours. If the initial mass of the isotope were , the mass of it remaining undecayed after 182003Integrated rate laws
  10. 10If liquids and form an ideal solution2003Vapour pressure and raoult's law
  11. 11The radius of (Atomic number of ) is . Which one of the following given values will be closest to the radius of (Atomic number of )?2003F-Block elements
  12. 12Ammonia forms the complex ion with copper ions in alkaline solutions but not in acidic solutions. What is the reason for it?2003Terminology of coordination compounds
  13. 13One mole of the complex compound , gives 3 moles of ions on dissolution in water. One mole of the same complex reacts with two moles of solu2003Isomerism of coordination compounds
  14. 14In the coordination compound, , the oxidation state of nickel is2003Terminology of coordination compounds
  15. 15In curing cement plasters water is sprinkled from time to time. This helps in2003Silicon and Its Compounds
  16. 16Which one of the following statements is not true?2003PH of solutions
  17. 17On mixing a certain alkane with chlorine and irradiating it with ultravioletlight, it forms only one monochloroalkane. This alkane could be2003Preparation and Properties of Monohalides
  18. 18Butene- 1 may be converted to butane by reaction with2003Preparation and Properties of Monohalides
  19. 19What may be expected to happen when phosphine gas is mixed with chlorine gas?2003Phosphorus and Its Compounds
  20. 20The number of d-electrons retained in (At.no.of ) ion is2003Properties of D-block elements
  21. 21Concentrated hydrochloric acid when kept in open air sometimes produces a cloud of white fumes. The explanation for it is that2003Halogens and Its Compounds
  22. 22An ether is more volatile than an alcohol having the same molecular formula. This is due to2003Preparation and Properties of Alcohols
  23. 23Graphite is a soft solid lubricant extremely difficult to melt. The reason for this anomalous behaviour is that graphite2003Carbon and Its Compounds
  24. 24According to the Periodic Law of elements, the variation in properties of elements is related to their2003Modern periodic table
  25. 25Which one of the following statements is correct?2003Qualitative analysis of organic compounds
  26. 26Glass is a2003Properties and Types of Solids
  27. 27The orbital angular momentum for an electron revolving in an orbit is given by . This momentum for an s-electron will be given by2003Quantum mechanical model
  28. 28How many unit cells are present in a cubeshaped ideal crystal of of mass ? [Atomic masses: ]2003Ionic structure
  29. 29In the anion the two carbon-oxygen bonds are found to be of equal length. What is the reason for it?2003Conjugation and Aromaticity
  30. 30Which one of the following characteristics is not correct for physical adsorption?2003Adsorption
  31. 31For a cell reaction involving a two-electron change, the standard e.m.f. of the cell is found to be at . The equilibrium constant of the rea2003Cells and Electrode Potential, Nernst Equation
  32. 32In an irreversible process taking place at constant and and in which only pressure-volume work is being done, the change in Gibbs free energ2003Entropy and Second law of thermodynamics
  33. 33The solubility in water of a sparingly soluble salt is . Its solubility product number will be2003Solubility
  34. 34What volume of hydrogen gas, at and , pressure will be consumed in obtaining of elemental boron (atomic mass ) from the reducti on of boron 2003Laws of chemical combination
  35. 35For the reaction equilibrium the concentrations of and at equilibrium are and respectively. The value of for the reaction is2003Law of Mass Action, Equilibrium Constant (Kc and Kp) and its Application
  36. 36Consider the reaction equilibrium . On the basis of Le Chatelier's principle, the condition favourable for the forward reaction is2003Le chatelier's principle
  37. 37Which one of the following is an amphoteric oxide?2003Compounds of Transition Metals
  38. 38A red solid is insoluble in water. However it becomes soluble if some is added to water. Heating the red solid in a test tube results in lib2003Compounds of Transition Metals
  39. 39Standard reduction electrode potentials of three metals A,B\&C are respectively . The reducing, powers of these metals are2003Cells and Electrode Potential, Nernst Equation
  40. 40Which one of the following substances has the highest proton affinity?2003Ionic bond
  41. 41In a molal aqueous solution of a weak acid the degree of ionization is . Taking for water as , the freezing point of the solution will be ne2003Colligative Properties and Abnormal Molecular Masses
  42. 42When during electrolysis of a solution of coulombs of charge pass through the electroplating bath, the mass of silver deposited on the catho2003Cells and Electrode Potential, Nernst Equation
  43. 43For the redox reaction taking place in a cell, is volt. for the cell will be2003Cells and Electrode Potential, Nernst Equation
  44. 44In respect of the equation in chemical kinetics, which one of the following statements is correct?2003Arrhenius theory
  45. 45A reduction in atomic size with increase in atomic number is a characteristic of element of2003F-Block elements
  46. 46The IUPAC name of is2003IUPAC Nomenclature
  47. 47When is reduced with , the compound obtained will be2003Reactions Involving Acid Group
  48. 48According to the kinetic theory of gases, in an ideal gas, between two successive collisions a gas molecule travels2003Kinetic theory of gases
  49. 49The general formula could be for open chain2003Classification of organic compounds
  50. 50Among the following four structures I to IV. It is true that2003Isomerism of Organic Compounds
  51. 51What would happen when a solution of potassium chromate is treated with an excess of dilute nitric acid?2003Compounds of Transition Metals
  52. 52For making good quality mirrors, plates of float glass are used. These are obtained by floating molten glass over a liquid metal which does 2003Carbon and Its Compounds
  53. 53The substance not likely to contain is2003Compounds of Alkaline Earth Metals
  54. 54Complete hydrolysis of cellulose gives2003Disaccharides and Polysaccharides
  55. 55Which one of the following nitrates will leave behind a metal on strong heating?2003Nitrogen and Its Compounds
  56. 56During dehydration of alcohols to alkenes by heating with conc. the initiation step is2003Reactions of Alcohols
  57. 57The solubilities of carbonates decrease down the magnesium group due to a decrease in2003Properties of S-block elements
  58. 58When rain is accompanied by a thunderstorm, the collected rain water will have a value2003Ionic Product of Water
  59. 59The reason for double helical structure of DNA is operation of2003Nucleic Acids
  60. 60of a solution of barrium hydroxide on titration with a molar solution of hydrochloric acid gave a litre value of . The molarity of barium hy2003Concentration terms
  61. 61The correct relationship between free energy change in a reaction and the corresponding equilibrium constant is2003Third law of thermodynamics
  62. 62The rate law for a reaction between the substances and is given by Rate On doubling the concentration of A and halving the concentration of 2003Rate of reaction
  63. 63Ethyl isocyanide on hydrolysis in acidic medium generates2003Preparation and Properties of Carboxylic Acids
  64. 64The enthalpy change for a reaction does not depend upon2003Laws of Thermochemistry and Enthalpy Change
  65. 65A pressure cooker reduces cooking time for food because2003Vapour pressure and raoult's law
  66. 66For the reaction system: volume is suddenly reduce to half its value by increasing the pressure on it. If the reaction is of first order wit2003Rate of reaction
  67. 67Several blocks of magnesium are fixed to the bottom of a ship to2003Properties of S-block elements
  68. 68Which one of the following pairs of molecules will have permanent dipole moments for both members?2003Dipole moment
  69. 69Which one of the following groupings represents a collection of isoelectronic species? (At. nos,: 55, Br:35)2003Atomic Mass and Atomic Size
  70. 70Which one of the following processes will produce hard water?2003Preparation and Properties of Water
  71. 71Which one of the following compounds has the smallest bond angle in its molecule?2003Hybridisation and VSEPR Theory
  72. 72The pair of species having identical shapes for molecules of both species is2003Hybridisation and VSEPR Theory
  73. 73The atomic numbers of vanadium , Chromium , manganese and iron are respectively 23 , 24,25 and 26 . Which one of these may be expected to ha2003Properties of D-block elements
  74. 74In Bohr series of lines of hydrogen spectrum, the third line from the red end corresponds to which one of the following inter-orbit jumps of2003Hydrogen spectrum
  75. 75The de Broglie wavelength of a tennis ball of mass moving with a velocity of 10 metres per second is approximately2003Dual Behaviour of Matter and Heisenberg Uncertainty Principle

Mathematics

  1. 1Let . If then one of the possible values of , is2003Miscellaneous
  2. 2The median of a set of 9 distinct observations is . If each of the largest 4 observations of the set is increased by 2 , then median of the 2003Median
  3. 3Preview not available - open to view this question.2003Algebraic and Rational Limits
  4. 4The normal at the point on a parabola meets the parabola again in the point , then2003Normal to Parabola
  5. 5If the two circles and intersect in two distinct point, then2003Intersection of Circles
  6. 6The degree and order of the differential equation of the family of all parabolas whose axis is X-axis, are respectively.2003Order and Degree
  7. 7The foci of the ellipse and the hyperbola coincide. Then the value of is2003Equation of Ellipse
  8. 8If and , then2003Leibnitz Rule of Differentiation
  9. 9The function , is2003Odd and Even Functions
  10. 10If the sum of the roots of the quadratic equation is equal to the sum of the squares of their reciprocals, then and are in2003Relation between Roots and Coefficients
  11. 11If the system of linear equations has a non-zero solution, then2003System of Linear Equations
  12. 12A square of side a lies above the -axis and has one vertex at the origin. The side passing through the origin makes an angle with the positi2003Locus
  13. 13If the pair of straight lines and be such that each pair bisects the angle between the other pair, then2003Concurrency & Family of Lines
  14. 14Locus of a centriod of the triangle whose vertices are and , where is a parameter, is2003Locus
  15. 15If , the value of is2003Exponential and logarithmic limits
  16. 16A couple is of moment and the force forming the couple is . If is turned through a right angle the moment of the couple thus formed is . If 2003Product of 2 vectors
  17. 17The resultant of forces and is . If is doubled then is doubled. If the direction of is reversed, then is again doubled. Then is2003Algebra of Vectors
  18. 18The mean and variance of a random variable having binomial distribution are 4 and 2 respectively, then is2003Bernoulli Trial and Binomial Distribution
  19. 19If , then the value of is2003Summation of Series
  20. 20Let and . If is a unit vector such that and , then is equal to2003Algebra of Vectors
  21. 21A particle acted on by constant forces and to the point . The total work done by the forces is2003Product of 2 vectors
  22. 22The vectors are the sides of a triangle . The length of the median through is2003Locus
  23. 23The area of the region bounded by the curves and is2003Area bounded by two curves
  24. 24The shortest distance from the plane to the sphere is2003Plane in Space
  25. 25The two lines and will be perpendicular, if and only if2003Line in Space
  26. 26The lines and are coplanar if2003Algebra of Vectors
  27. 27If then is equal to2003Properties of Definite Integration
  28. 28If are the cube roots of unity, then is equal to2003Expansion of Determinants
  29. 29The sum of the radii of inscribed and circumscribed circles for an sided regular polygon of side a, is2003Circle and Polygon
  30. 30If and are both in G.P. with the same common ratio, then the points and , )2003Geometric Progression
  31. 31If and are two non-zero complex numbers such that and , then is equal to2003Conjugate, modulus and argument
  32. 32Let and be two roots of the equation being complex. Further, assume that the origin, and form an equilateral triangle. Then2003Geometry of Complex Number
  33. 33The solution of the differential equation , is2003Linear Differential Equation
  34. 34Let be a function satisfying with and be a function that satisfies . Then the value of the integral , is2003Properties of Definite Integration
  35. 35The lines and are diameters of a circle having area as 154 sq. units. Then the equation of the circle is2003line and circle
  36. 36Events are mutually exclusive events such that and . The set of possible values of are in the interval.2003Independent Events
  37. 37Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probability that Mr. A selected the winning horse2003Classical Definition of Probability
  38. 38The value of ' ' for which one root of the quadratic equation is twice as large as the other is2003Relation between Roots and Coefficients
  39. 39If is positive, the first negative term in the expansion of is2003Terms of Binomial Expansion
  40. 40The number of integral terms in the expansion of is2003Terms of Binomial Expansion
  41. 41If denotes the number of combination of things taken at a time, then the expression equals2003Factorial
  42. 42The upper th portion of a vertical pole subtends an angle at a point in the horizontal plane through its foot and at a distance from the foo2003Heights and Distances
  43. 43In a triangle , medians and are drawn. If and , then the area of the is2003Sine Rule and its application
  44. 44If in a triangle , then the sides and2003Cosine Rule and Projection Formula
  45. 45are 3 vectors, such that then is equal to2003Algebra of Vectors
  46. 46The value of the integral is2003Properties of Definite Integration
  47. 47The value of is2003Leibnitz Rule of Differentiation
  48. 48The radius of the circle in which the sphere is cut by the plane is2003Line and Plane
  49. 49A tetrahedron has vertices at and . Then the angle between the faces and will be2003Scalar Triple Product
  50. 50Let and their th derivatives exist and are not equal for some . Further if then the value of is2003Algebraic and Rational Limits
  51. 51is2003Trigonometric and Inverse Trigonometric limits
  52. 52If the equation of the locus of a point equidistant from the point and is , then the value of 'c' is2003Locus
  53. 53If and vectors and are non-coplanar, then the product abc equals2003Algebra of Vectors
  54. 54The number of real solutions of the equation is2003Relation between Roots and Coefficients
  55. 55If the function , where , attains its maximum and minimum at and respectively such that , then a equals2003Maxima Minima
  56. 56If2003Differentiability
  57. 57Domain of definition of the function , is2003Domain
  58. 58If satisfies , for all and , then is2003Functional Equation
  59. 59The real number when added to its inverse gives the minimum value of the sum at equal to2003Maxima Minima
  60. 60Let and respectively be the maximum ranges up and down an inclined plane and be the maximum range on the horizontal plane. Then are in2003Mixed Question on AP and GP
  61. 61In an experiment with 15 observations on , the following results were available: One observation that was 20 was found to be wrong and was r2003Measures of Dispersion
  62. 62A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions. The numbe2003Selection of one or more item
  63. 63If and , then2003Product of Matrices
  64. 64The number of ways in which 6 men and 5 women can dine at a found table if no two women are to sit together is given by2003Combination
  65. 65Consider points A, B, C and D with position vectors and respectively. Then is a2003Algebra of Vectors
  66. 66If and are three non-coplanar vectors, then equals2003Algebra of Vectors
  67. 67The trigonometric equation a has a solution for2003Converting one Inverse T function to other Inverse T
  68. 68Two system of rectangular axes have the same origin. If a plane cuts them at distances and from the origin then2003Plane in Space
  69. 69If then2003Algebra of complex numbers
  70. 70A function from the set of natural numbers to integers defined by is2003Types of Function (Mapping)
  71. 71Let be a polynomial function of second degree. If and are in A.P, then are in2003Arithmetic Progression
  72. 72The sum of the series . up to is equal to2003Summation of Series

Physics

  1. 1A particle of mass and charge Q moving with velocity describe a circular path of radius when subjected to a uniform transverse magnetic fiel2003Motion of Charged Particle in Magnetic Field
  2. 2A particle of charge coulomb moving with velocity along the -axis enters a region where a magnetic field of induction is along the -axis, an2003Motion of Charged Particle in Magnetic Field
  3. 3A thin rectangular magnet suspended freely has a period of oscillation equal to . Now it is broken into two equal halves (each having half o2003Magnetism and Properties of Magnet
  4. 4A magnetic needle lying parallel to a magnetic field requires units of work to turn it through . The torque needed to maintain the needle in2003Magnetism and Properties of Magnet
  5. 5The magnetic lines of force inside a bar magnet2003Magnetism and Properties of Magnet
  6. 6Curie temperature is the temperature above which2003Magnetic Materials and their Properties
  7. 7A spring balance is attached to the ceiling of a lift. A man hangs his bag on the spring and the spring reads 49 , when the lift is stationa2003Newton's laws of motion
  8. 8The length of a wire of a potentiometer is , and the e.m.f. of its standard cell is volt. It is employed to measure the e.m.f of a battery w2003Electric Instruments
  9. 9A strip of copper and another of germanium are cooled from room temperature to . The resistance of2003Resistance and Resistivity
  10. 10Consider telecommunication through optical fibres. Which of the following statements is not true?2003Communication System
  11. 11The thermo e.m.f. of a thermo-couple is at room temperature. A galvanometer of 40 ohm resistance, capable of detecting current as low as , i2003Electric Instruments
  12. 12The negative pole of a Daniell cell, sending a constant current through a circuit, decreases in mass by in 30 minutes. If the electrochemica2003Electric Cell or Battery
  13. 13Dimension of , where symbols have their usual meaning, are2003Dimensions
  14. 14A circular disc of radius is made from an iron plate of thickness , and another disc of radius is made from an iron plate of thickness . The2003Moment of inertia of rigid bodies
  15. 15The time period of a satellite of earth is 5 hours. If the separation between the earth and the satellite is increased to 4 times the previo2003Motion of satellite
  16. 16A particle performing uniform circular motion has angular frequency is doubled \& its kinetic energy halved, then the new angular momentum i2003Angular momentum and Angular impulse
  17. 17Which of the following radiations has the least wavelength?2003Radioactivity
  18. 18When a nucleus originally at rest, decays by emitting an alpha particle having a speed ' ', the recoil speed of the residual nucleus is2003Nuclear reactions
  19. 19Two spherical bodies of mass and radii respectively are released in free space with initial separation between their centres equal to . If t2003Gravitational field
  20. 20The difference in the variation of resistance with temperature in a metal and a semiconductor arises essentially due to the difference in th2003Semiconductors
  21. 21A car, moving with a speed of , can be stopped by brakes after at least . If the same car is moving at a speed of , the minimum stopping dis2003Uniform Motion
  22. 22A boy playing on the roof of a high building throws a ball with a speed of at an angle of with the horizontal. How far from the throwing poi2003Projectile motion
  23. 23An ammeter reads up to 1 ampere. Its internal resistance is . To increase the range to the value of the required shunt is2003Electric Instruments
  24. 24The physical quantities not having same dimensions are2003Dimensions
  25. 25Three forces start acting simultaneously on a particle moving with velocity, . These forces are represented in magnitude and direction by th2003Newton's laws of motion
  26. 26If the electric flux entering and leaving an enclosed surface respectively is and , the electric charge inside the surface will be2003Electric Flux and Gauss Law
  27. 27A horizontal force of is necessary to just hold a block stationary against a wall. The co-efficient of friction between the block and the wa2003Frictional force
  28. 28A marble block of mass lying on ice when given a velocity of is stopped by friction in . Then the coefficient of friction is2003Frictional force
  29. 29Consider the following two statements: (A) Linear momentum of a system of particles is zero (B) Kinetic energy of a system of particles is z2003Energy
  30. 30Two coils are placed close to each other. The mutual inductance of the pair of coils depends upon2003Self and Mutual Inductance
  31. 31A block of mass is pulled along a horizontal frictionless surface by a rope of mass . If a force is applied at the free end of the rope, the2003Newton's laws of motion
  32. 32A light spring balance hangs from the hook of the other light spring balance and a block of mass M kg hangs from the former one. Then the tr2003Spring force
  33. 33A wire suspended vertically from one of its ends is stretched by attaching a weight of to the lower end. The weight stretches the wire by . 2003Work Done in Stretching a Wire
  34. 34The escape velocity for a body projected vertically upwards from the surface of earth is . If the body is projected at an angle of with the 2003Gravitational potential and Potential Energy
  35. 35A mass is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes SHM of time 2003Time Period and Frequency
  36. 36"Heat cannot by itself flow from a body at lower temperature to a body at higher temperature" is a statement or consequence of2003Heat Engine, Refrigerator and Second Law of Thermodynamics
  37. 37Two particles and of equal masses are suspended from two massless springs of spring constant and , respectively. If the maximum velocities, 2003Simple Harmonic Motion
  38. 38The length of a simple pendulum executing simple harmonic motion is increased by . The percentage increase in the time period of the pendulu2003Errors of Measurement
  39. 39The displacement of a wave travelling in the -direction is given by metres where is expressed in metres and in seconds. The speed of the wav2003Travelling Waves
  40. 40When the current changes from to in second, an e.m.f. of is induced in a coil. The coefficient of self-induction of the coil is2003Self and Mutual Inductance
  41. 41In an oscillating LC circuit the maximum charge on the capacitor is Q. The charge on the capacitor when the energy is stored equally between2003AC Circuits
  42. 42The core of any transformer is laminated so as to2003Transformers
  43. 43Let be the force acting on a particle having position vector and be the torque of this force about the origin. Then2003Torque
  44. 44A radioactive sample at any instant has its disintegration rate 5000 disintegrations per minute. After utes, the rate is 1250 disintegration2003Radioactivity
  45. 45A nucleus with emits the following in a sequence: . Then of the resulting nucleus is2003Nuclear reactions
  46. 46Two identical photocathodes receive light of frequencies and . If the velocities of the photo electrons (of mass ) coming out are respective2003Photoelectric Effect
  47. 47Which of the following cannot be emitted by radioactive substances during their decay?2003Radioactivity
  48. 48A 3 volt battery with negligible internal resistance is connected in a circuit as shown in the figure. The current , in the circuit will be2003Combination of Resistances
  49. 49A sheet of aluminium foil of negligible thickness is introduced between the plates of a capacitor. The capacitance of the capacitor2003Capacitors with Dielectric
  50. 50The displacement of a particle varies according to the relation . The amplitude of the particle is2003Simple Harmonic Motion
  51. 51A thin spherical conducting shell of radius has a charge . Another charge is placed at the centre of the shell. The electrostatic potential 2003Electric Potential and Potential Energy
  52. 52The work done in placing a charge of coulomb on a condenser of capacity 100 micro-farad is2003Force and Energy stored in capacitor
  53. 53The co-ordinates of a moving particle at any time ' ' are given by and . The speed of the particle at time ' ' is given by2003Non-uniform Motion
  54. 54During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio for the ga2003Degree of Freedom and Specific Heat
  55. 55Which of the following parameters does not characterize the thermodynamic state of matter?2003Thermodynamic Systems
  56. 56A Carnot engine takes . of heat from a reservoir at , and gives it to a sink at . The work done by the engine is2003Heat Engine, Refrigerator and Second Law of Thermodynamics
  57. 57A spring of spring constant is stretched initially by from the unstretched position. Then the work required to stretch it further by another2003Energy
  58. 58A metal wire of linear mass density of is stretched with a tension of -wt between two rigid supports 1 metre apart. The wire passes at its m2003Alternating Current, Voltage and Power
  59. 59A tuning fork of known frequency makes 5 beats per second with the vibrating string of a piano. The beat frequency decreases to 2 beats per 2003Vibration of String
  60. 60A body executes simple harmonic motion. The potential energy (P.E), the kinetic energy (K.E) and total energy (T.E) are measured as a functi2003Energy of Simple Harmonic Motion
  61. 61In the nuclear fusion reaction given that the repulsive potential energy between the two nuclei is , the temperature at which the gases must2003Pressure and Energy of gas
  62. 62Which of the following atoms has the lowest ionization potential?2003Bohr's Atomic Model
  63. 63The wavelengths involved in the spectrum of deuterium are slightly different from that of hydrogen spectrum, because2003Atomic Spectrum
  64. 64In the middle of the depletion layer of a reverse biased p-n junction, the2003Diodes
  65. 65If the binding energy of the electron in a hydrogen atom is , the energy required to remove the electron from the first excited state of is2003Bohr's Atomic Model
  66. 66A body is moved along a straight line by a machine delivering a constant power. The distance moved by the body in time ' ' is proportional t2003Power
  67. 67A rocket with a lift-off mass is blasted upwards with an initial acceleration of . Then the initial thrust of the blast is2003Newton's laws of motion
  68. 68To demonstrate the phenomenon of interference, we require two sources which emit radiation2003Interference of Light
  69. 69Three charges and are placed as shown in the figure. The -component of the force on is proportional to2003Electric Field and Electric Field Lines
  70. 70A 220 volt, 1000 watt bulb is connected across a 110 volt mains supply. The power consumed will be2003Electric Power and Heating Effect of Current
  71. 71The image formed by an objective of a compound microscope is2003Optical Instruments
  72. 72The earth radiates in the infra-red region of the spectrum. The spectrum is correctly given by2003Radiation
  73. 73To get three images of a single object, one should have two plane mirrors at an angle of2003Reflection of Light from Plane Mirror
  74. 74According to Newton's law of cooling, the rate of cooling of a body is proportional to , where is the difference of the temperature of the b2003Radiation
  75. 75The length of a given cylindrical wire is increased by . Due to the consequent decrease in diameter the change in the resistance of the wire2003Resistance and Resistivity
  76. 76A body travels a distance in seconds. It starts from rest and ends at rest. In the first part of the journey, it moves with constant acceler2003Uniform Motion
  77. 77Two stones are projected from the top of a cliff metres high, with the same speed , so as to hit the ground at the same spot. If one of the 2003Projectile motion
  78. 78Two particles start simultaneously from the same point and move along two straight lines, one with uniform velocity and the other from rest 2003Relative Motion

Frequently Asked Questions

1.How many questions are in the JEE Main 2003 paper?

This paper has 225 questions in total - 75 from Chemistry, 72 from Mathematics, and 78 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 JEE Main 2003 paper structured?

The JEE Main 2003 paper on MARKS has 225 questions, organised by subject:

  • Chemistry: 75 questions - 75 single-correct.
  • Mathematics: 72 questions - 72 single-correct.
  • Physics: 78 questions - 78 single-correct.
4.How difficult is the JEE Main 2003 paper?

Each question on MARKS carries a difficulty rating. Of the 225 rated questions in this paper, 90 (40%) are easy, 108 (48%) are medium and 27 (12%) are hard. Subject wise:

  • Chemistry: 35 easy, 38 medium, 2 hard
  • Mathematics: 16 easy, 42 medium, 14 hard
  • Physics: 39 easy, 28 medium, 11 hard
5.Which chapters were asked the most in the JEE Main 2003 paper?

The chapters with the most questions in each subject were:

  • Chemistry: d and f Block Elements (7), General Organic Chemistry (6), and Thermodynamics (C) (5).
  • Mathematics: Vector Algebra (10), Definite Integration (6), and Sequences and Series (5).
  • Physics: Current Electricity (8), Laws of Motion (7), and Nuclear Physics (5).
6.Are there any out-of-syllabus questions in the JEE Main 2003 paper?

Yes. 35 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 2003 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 2003 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 2003 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.