JEE Main

In this collection, you’ll find questions that have been asked in previous years and will most likely be asked again. These questions with explanations have been hand-picked by top teachers from a broad pool of questions. Questions are grouped topic and subtopic wise as per JEE Main syllabus


Alternating Current

Basics of AC, LC Oscillations, LCR circuits, LR Circuit, Power in AC circuit, Purely Capacitive Circuit, Purely Inductive Circuit, Purely Resistive Circuit, RC Circuits, Resonance, Transformers


Capacitance of Spherical Shell and Cylindrical Capacitor, Dielectrics in Capacitors, Equivalent Capacitance in Series-Parallel, Parallel Plate Capacitor, Problems on Capacitor

Centre of Mass, Momentum and Collision

Centre of Mass, Momentum and Collision

Circular Motion

Dynamics of Circular Motion, Kinematics of Circular Motion, Motion in a Vertical Circle, Problems on Dynamics of Circular Motion

Current Electricity

Carbon Resistors and Their Colour Coding, Combinations of Cells and Problems on it, Current Controller and Potential Divider & Problems on it, Electric Current, Electric Energy and Power, EMF, Terminal Voltage and Internal Resistance and Problems on it, Heating Effect of Electric Current, Household Electricity, Meter Bridge and Problems on it, Potentiometer and Problems Based on it, Problems on Ohms Law, Temperature dependence of Resistance, Variable Resistor

Electromagnetic Induction

AC Generator, Combination of Inductor and Kirchoffs Law, DC Generator, Faradays and Lenzs Law, Introduction to Electromagnetic Induction, Introduction to Induction, Magnetic Flux, Motional EMF, Mutual Inductance, Problems on Self and Mutual Inductance, Self Inductance

Electromagnetic Waves

AC Generator, Combination of Inductor and Kirchoffs Law, DC Generator, Faradays and Lenzs Law, Introduction to Electromagnetic Induction, Introduction to Induction, Magnetic Flux, Motional EMF, Mutual Inductance, Problems on Self and Mutual Inductance, Self Inductance


Coulombs Law and its Applications, Electric Dipole, Electric Field and Electric Field Lines, Electric Field as Gradient of Potential, Electric Field due to Various Configurations, Electric Flux and Problems Based on it, Electric Potential due to Various Configurations, Electrostatic Potential Energy and Potential Difference, Electrostatics of Conductors, Equipotential Surfaces, Gauss Law and Problems Based on it, Introduction to Electrostatics, Kinetic Energy of Particle in Electric Field, Methods Used for Charging, Potential Energy of Various Configurations, Problems Based on Electric Field, Problems Based on Potential Energy and Potential Difference

Fluid Mechanics

Applications of Pascals Law, Bernoullis Equation, Buoyancy, Density of a Mixture of Substance, Devices to Measure Atmospheric Pressure, Efflux and Torricellis Law, Important Points about Atmospheric Pressure, Introduction to Density, Introduction to Pressure, Introduction to Pressure in Fluids, Pressure in Liquids, Pressure in Static Fluid, Principle of Floatation, Problems on Bernoullis Principle, Relative Density, Reynolds Number, Special Cases of Capillary Rise and Problems on Capillary, Stokes Law, Surface Tension, Types of Barometer, Types of Flow in Fluids, Variation of Viscous Force With Different Conditions, Viscosity and Problems on itC


Introduction to Friction, Problems on Friction, Static and Kinetic Friction


Acceleration due to Gravity, Binding Energy and Satellites, Gravitational Field, Gravitational Potential, Gravitational Potential Energy, Introduction to Gravitation, Keplers Laws, Mass vs Weight, Newtons Law of Gravitation, Superposition Principle, Variation in Value of Acceleration due to Gravity


Free Fall, Graphs in Relative Motion, Problems on Equation of Motion, Speed, Uniformly Accelerated Motion, Velocity

Laws of Motion

Application of Newtons Laws of Motion, Concept of Inertia, Constrained Motion and Pseudo Force, Equilibrium of Bodies, Force and its Effects, Forces at an Angle, Types of Forces


Amperes Circuital Law and Problems on it, Bar Magnet and Solenoid, Biot-Savart Law, Diamagnetic Material, Earths Magnetism, Electromagnetism and its Applications, Electrostatic and Magnetic Analogy, Ferromagnetic Material, Force Between Two Current Carrying Parallel Wires and Sheets, Force on Current Carrying Conductor, Hysteresis Loop, Lorentz Force, Magnetic Compass, Magnetic Dipole Moment, Magnetic Dipoles, Magnetic Field, Magnetic Field Due to Bar Magnet, Magnetic Field Due to Current Carrying Conductor, Magnetic Field Due to Solenoid and Toroid, Motion of Charged Particle in Magnetic Field and Electric Field, Moving Coil Galvanometer, Paramagnetic Material, Problems on Biot-Savart Law, Problems on Torque on Magnetic Dipole, Properties of Magnetic Field

Measurement and Errors

Accuracy and Precision, Errors in Measurement, Measuring Instruments

Mechanical Properties of Matter

Bulk Modulus and Shear Modulus, Problems on Stress Strain and Elastic Potential Energy, Youngs Modulus and its Applications

Modern Physics

Photons and Photoelectric Effect, Stopping Potential and Einsteins Photoelectric Equation, Wave Nature of Matter

Nuclear Physics

Alpha Particle & Rutherford Model, Bohrs Model, Change in Nucleus due to Radioactive Decay, First Order Radioactive Decay, Harmful Effects and Safety Precautions for Radiations, Introduction to Atomic Structure, Introduction to Radioactivity, Nuclear Fission, Nuclear Force and Binding Energy, Nuclear Fusion, Nuclear Reactions, Nuclear Structure

Modern Physics

Photons and Photoelectric Effect, Stopping Potential and Einsteins Photoelectric Equation, Wave Nature of Matter

Nuclear Physics

Photons and Photoelectric Effect, Stopping Potential and Einsteins Photoelectric Equation, Wave Nature of Matter


Applications of Refraction, Combination of Lenses, Combination of Mirror and Lenses, Concept of Apparent Depth, Defects of Vision and Correction, Dispersion, Human Eye, Image Formation by Lenses, Optical Instruments : Microscope, Optical Instruments : Telescope, Prism, Problems on Cases of Refraction, Problems on Mirror and Magnification Formula, Problems on Refractive Index, Refraction of Light and Laws of Refraction, Refractive Index, Resolving Power, Some Natural Phenomena of Light, Spherical and Chromatic Aberration, Total Internal Reflection, Types of LensesPhotons and Photoelectric Effect, Stopping Potential and Einsteins Photoelectric Equation, Wave Nature of Matter

Physical World

Physics in Relation to Other Sciences

Rotational Dynamics

Angular Impulse and Toppling, Combined Translational and Rotational Motion of a Rigid Body, Couple, Dynamics of Rotational Motion, Equilibrium of Rigid Bodies, Important Concepts Related to Rotational Dynamics, Instantaneous Axis of Rotation, Moment of Inertia, Principle of Moments, Problems on Moment of Inertia, Problems on Rotation of a Rigid Body About a Fixed Point, Rolling Motion, Rolling Motion on Inclined Plane, Torque, Torque and Angular Momentum, Translational and Rotational Motion

Semiconductors and Electronic Devices

Energy Bands, Intrinsic and Extrinsic Semiconductors, Optoelectronic Devices, p-n Junction Diode, Transistor and its Types, Zener Diode

Simple Harmonic Motion

Applications of Linear SHM, Differential Equation of SHM, Free, Forced and Damped Oscillations, Fundamentals of Oscillations and Periodic Motion, Oscillations Due to Spring, Pendulums, Velocity and Acceleration in SHM


First Law of Thermodynamics, Heat and Temperature, Heat, Internal Energy and Work, Introduction to Thermodynamics, Scales of Temperature, Zeroth Law of Thermodynamics

Units and Dimensions

Fundamental and Derived Units, Introduction to Units and Measurement, Unit of Fundamental Quantities


Dot and Cross Product, Mathematical Operations on Vectors

Wave Motion and String Waves

Characteristics of a Progressive Wave, Energy in Wave Motion, Introduction to Waves, Principle of Superposition of Waves, Problems Based on Wave Equation, Problems on Properties of Waves, Reflection and Transmission of Waves, Resonance in a String, Sonometer and Laws of Transverse Vibrations, Speed and Acceleration of Travelling Wave, Standing Waves, Stationary Waves and its Graphical Representation, Waves From Point Source and Line Source of Constant Power, Waves on a String

Wave Optics

Diffraction, Doppler Effect for Light, Dual Nature of Light, Huygens Wave Theory, Polarisation, Problems on Youngs Double Slit Experiment, Superposition and Interference, Youngs Double Slit Experiment

Work, Energy and Power

Commercial Unit of Energy, Conservation of Energy, Conservative and Non-conservative Forces, Energy Conversions, Introduction to Work and Energy, Kinetic Energy, Potential Energy, Potential Energy of Spring and Electric Charges, Power, Problems on Calculation of Power, Problems on Kinetic Energy, Problems on Potential Energy, Problems on Work Done by Constant Force, Work Done by a Variable Force, Work Done by Constant Forces, Work Energy Theorem



Acids, Bases and Salts

Properties of Salts, Study of pH and pOH, Theories of Acids and Bases

Alcohols, Phenols and Ethers

Alcohols - Introduction, Chemical Properties of Alcohols, Chemical Properties of Alcohols and Phenols - Acidic Nature, Chemical Properties of Ethers, Commercially Important Alcohols, Introduction and Nomenclature to Ethers, Physical Properties of Alcohols, Physical Properties of Ethers, Preparation Methods of Alcohols, Preparation Methods of Ethers, Study of Ethylene Glycol, Tests to Distinguish Between Alcohols

Aldehydes, Ketones and Carboxylic Acids

Chemical Properties of Aldehydes and Ketones, Chemical Properties of Carboxylic Acids, Esterification and Saponification, Nomenclature of Aldehydes and Ketones, Physical Properties of Aldehydes and Ketones, Physical Properties of Carboxylic Acids, Preparation Methods of Aldehydes and Ketones, Preparation Methods of Carboxylic Acids

Atomic Structure

Development Leading to Bohrs Model of Atom, Developments Leading to Quantum or Wave Mechanical Model of Atom, Earlier Models of Atom, Emission and Absorption Spectra, Isotopes, Isobars, Isotones and Isodiaphers, More About Electron Configuration of Ions

Atoms and Molecules

Basics of Atomic Mass and Molecular Mass


Carbohydrates, Disaccharides, Introduction to Vitamins, Nucleic Acids, Polysaccharides, Proteins and Amino Acids, Study of Glucose and Fructose

Chemical Bonding

Bond Parameters and Resonance Structures, Covalent Bond, Dipole Forces, Dipole moment, Fundamentals of Chemical Bonding, Hydrogen Bonding, Intermolecular Forces, Ionic Bond, Molecular Orbital Theory, Sigma and Pi Bonds, Study of Hybridisation, Valence Bond Theory and Orbital Overlap Concept, Valence Shell Electron Pair Repulsion Theory

Chemical Kinetics

Determination of Rate Law, Rate Constant and Order of a Reaction, Factors Which Affect the Reaction Rate, Integrated Rate Law Equations, Introduction to Chemical Kinetics, Order of Reactions, Temperature, Catalyst and Activation Energy of Reactions

Chemistry in Everyday Life

Detergents, Soaps

Chemistry Practical

Action of Compounds on Salts, Distinguishing Copper Oxide and Manganese Dioxide from One Another, Identification of Gases, Identification of Some Cations and Anions by the Action of Sulphuric Acid, Inorganic Analysis, Organic Analysis for Unsaturated Hydrocarbons, Preliminary Tests for Analysis of Inorganic Samples

Coordination Compounds

Applications of Coordination Compounds, Crystal Field Theory, Introduction to Coordination Compounds, Isomerism in Coordination Compounds, Nomenclature of Coordination Compounds, Stability of Coordination Compounds, Werners Theory

d-block and f-block Elements

Actinoids, Applications of d and f Block Elements, Comparison of Lanthanoids and Actinoids, f block Elements - An Introduction, Formation of Complex Compounds and Constituent of Catalysts, General Properties of Transition Metals, Important Compounds of Transition Elements, Lanthanide, Magnetic Nature of Transition Metals, Study of d-Block Elements


Commercial Cells, Conductivity and Concentration, Electrochemical Series: a Detailed Study, Electrode Potential, Electrolysis, Electrolytes and Non-electrolytes, Emf, Gibbs Energy and Equilibrium Constant, Galvanic and Concentration Cell, Introduction to Electrochemistry, Kohlrausch Law

Environmental Chemistry

Air Pollution, Atmospheric Pollution, Environment and Pollution, Soil and Soil pollution, Strategies to Control Environmental Pollution and Green Chemistry, Water Pollution

Equilibrium in Physical and Chemical Processes

Introduction to Equilibrium, Law of Mass Action, Le Chateliers Principle

Haloalkanes and Haloarenes

Chemical Reactions of Haloalkanes - Substitution Reactions, Electrophilic Substitution Reactions of Haloarenes, Elimination Reactions, Haloalkanes and Haloarenes - Classification and Nomenclature, Nucleophilic Substitution Reactions of Haloarenes, Physical Properties of Haloalkanes and Haloarenes, Polyhalogen Compounds, Preparation of Haloalkanes, Preparation of Haloarenes, Reaction of Haloalkanes and Haloarenes with Metals, Stereochemical Aspects of Nucleophilic Substitution Reactions


Alkanes - Reactions, Alkynes- Nomenclature and Isomerism, Characteristics of Alkane, Chemical Properties of Alkanes, Chemical Reactions of Alkynes, Introduction to Alkenes, Introduction to Alkynes, Introduction to Benzene, Introduction to Hydrocarbons, Isomerism of Organic Compounds - Advanced, Nomenclature of Alkenes, Physical Properties of Alkanes, Physical Properties of Alkenes, Preparation of Alkanes, Preparation of Alkenes, Preparation of Alkynes, Properties of Alkynes, Reaction of Alkenes, Reactions of Benzene, Study of Methane

Ionic Equilibrium in Solutions

Buffer Solutions, Common Ion Effect, Introduction to Ionic Equilibria in Solution, Ionisation Constant of Weak Acids and Weak Bases, Solubility and Solubility Product

Matter in Our Surroundings

Introduction to Matter


Basics of Metallurgy, Concentration of Ores, Extraction of Copper and Zinc from Their Oxides, Extraction of Iron from its Oxides, Extraction of Metal from Concentrated Ore, Extraction of Metals Depends on Activity Series, Metallurgy of Aluminium, Refining of Metals, Thermodynamic Principles of Metallurgy

Mole Concept

Mole and Molar Volume, Relation Between Mole, mass and Number of Atoms

Organic Chemistry

Functional Groups and Nomenclature of Organic Compounds, General Introduction to Organic Chemistry and Organic Compounds, Homologous Series, Introduction to Carbon and its Compounds, Isomerism and Type - Structural, Methods of Purification - Organic Compounds, Qualitative Analysis of Organic Compounds

Organic Compounds Containing Nitrogen

Chemical Properties of Amines, Chemical Properties of Amines - Basic Nature, Introduction and Nomenclature to Amines, Isomerism of Amines, Physical Properties of Amines, Preparation Methods of Amines

p-block Elements

Chlorine - 17 Group, Compounds of Nitrogen  - Nitric Acid, Compounds of Nitrogen - Ammonia, Compounds of Silicon, Compounds of Xenon, Fluorine - 17 Group, General Properties of p Block Elements, Group 13 Elements : Boron Family, Group 14 Elements : Carbon Family, Group 15 Elements - Properties, Group 16 Elements - Properties, Group 17 Elements - Properties, Group 18 Elements - Properties, Nitrogen - 15 Group, Oxoacids of Halogens, Oxygen - 16 Group, Phosphorus and its Allotropes, Study of Aluminium, Study of Boron, Sulphur - 16 Group

Periodic Classification of Elements

Characteristics of d and f Block Elements, Characteristics of s and p Block Elements, Introduction and Historical Development of the Periodic Table, Mendeleevs Atomic Theory, Modern Periodic Table, Periodic Properties - Chemical Reactivity, Periodic Properties - Electron Gain Enthalpy and Electronegativity, Periodic Properties - Ionisation Energy, Study of Elements, Trends Across a Period, Trends in Physical Properties in the Periodic Table


Identifying Polymers, Polymerisation- Advanced

Redox Reactions

Applications of Redox Reaction, Balancing of Redox Reactions, Corrosion - A Redox Reaction, Introduction to Redox Reactions, Oxidation Number, Types of Redox Reaction

s-block Elements (Alkali and Alkaline Earth Metals)

Alkali Metals, Alkali Metals and Alkaline Earth Metals, Alkaline Earth Metals, Anomalous Properties of Lithium, Beryllium, Calcium and Magnesium, Beryllium, Calcium, Aluminium and Magnesium, Sodium and Potassium

Solid State

Close Packing in Crystals, Closed Packed Structures, Crystal Lattice and Unit Cell, Electrical and Magnetic Properties of Solids, Imperfections in Solids, Introduction to Solids, Tetrahedral and octahedral voids


Abnormal Masses and Vant Hoff Factor, Basic Terminologies Related to Solutions, Colligative Properties, Introduction to Solutions, Osmosis and Osmotic Pressure, Solubility, Types of Solution, Vapour Pressure

Some Basic Concepts of Chemistry

Physical Quantities and Their Measurements, Techniques Used in Quantitative Analysis

States of Matter - Gas and Liquid

Avogadros Law, Boyles Law (Che), Change in State of Matter, Charles Law, Daltons Law of Partial Pressures, Gay Lussacs Law, Grahams Law, Ideal Gas Equation, Kinetic Molecular Theory of Gases, Kinetic Theory of Matter, Particle Theory of Matter, The Liquid State

Study of the First Element - Hydrogen

Dihydrogen, Hydrides of Hydrogen, Introduction to Hydrogen, Properties of Hydrogen, Study of Hydrogen Peroxide, Study of Water

Surface Chemistry

Adsorption, Catalysis, Colloidal State of Matter, Emulsions

Matter in Our Surroundings

Introduction to Matter


Entropy and Gibbs Free Energy, First Law of Thermodynamics, Heat Capacity, Hess Law of Constant Heat Summation, Measurement of delta U and delta H - Calorimetry, Some Basic Terms and Concepts, Spontaneous and non-spontaneous process, Study of Enthalpy, Study of Entropy



Application of Derivatives

Applications on Geometrical Figures, Increasing and Decreasing Functions

Area of Bounded Regions

Area Between Two Curves, Area Under Simple Curves

Binomial Theorem

Application of Binomial Expansion, Binomial Expansion for Positive Integral Index, General and Middle Term, Introduction of Binomial Theorem, Properties of Binomial Coefficients


Circle and Its Equations, Position of a Point or Line w.r.t. a Circle, Tangent and Normal to a Circle

Complex Numbers

Basic Geometry of Complex Numbers in Argand Plane, Introduction to Complex Numbers, Modulus and Conjugate of a Complex Number, Operations on Complex Numbers, Triangles and Polygons

Coordinate Geometry

Area of a Triangle Using Coordinate Geometry, Cartesian Coordinate System, Distance Formula, Mid Point Formula, Polar Coordinates, Position of a Point w.r.t. a Given Figure, Section Formula in 2D

Definite Integrals

Definite Integration, Evaluation of Definite Integrals, Properties of Definite Integrals


Introduction to Determinants

Differential Equations

Formation of Differential Equation, Homogeneous Differential Equation, Introduction to Differential Equations, Linear Differential Equation, Variable Separable Differential Equation


Chain and Reciprocal Rule, Derivative of Exponential and Logarithmic Functions, Derivatives of Implicit Functions, Derivatives of Trigonometric Functions, Differentiability, Differentiation by Substitution, Differentiation of Functions in Parametric Form, Higher Order Derivatives


Equations of Ellipse, Tangent and Normal to an Ellipse

Fundamentals of Mathematics

Logical Equivalence, Mathematical Induction, Mathematical Statement


Hyperbola, Tangent and Normal to a Hyperbola

Indefinite Integrals

Introduction and Interpretation to Integrals, Nine Special Formula, Standard Integrals

Inverse Trigonometric Functions

Identities Related to Inverse Trigonometric Functions, Problems on Inverse Trigonometric Functions, Properties of Inverse Trigonometric Functions

Limits and Continuity

Continuity, Discontinuity and Its Types


Applications of Logarithms, Laws of Logarithm, Logarithmic Notation, Value of a Logarithm


Cramers Rule, Introduction to Matrices, Inverse of a Matrix, Matrix Equations, Operations on Matrices, Properties of Inverse Matrix, System of Linear Equations, Types of Matrices


Introduction to Parabola, Tangent and Normal to a Parabola

Permutations and Combinations

Applications of Permutations and Combinations, Combinations, Factorial Notation, Permutations, Principles of Counting


Binomial Distribution, Conditional Probability, Different Problems on Probability, Multiplication Theorem

Quadratic Equations

Forms of Quadratic Equations and Its Roots, Introduction to Quadratic Equations, Nature of Roots, Relation Between Zeroes and Coefficients of a Quadratic Polynomial, Solution of a Quadratic Equation

Sequences and Series

Arithmetic Progression, Arithmetico-Geometric Progression, Geometric Progression, Means, Patterns and Sequences, Special Series

Sets, Relations and Functions

Complement of Sets, Composition of Functions and Invertible Functions, Introduction to Functions, Introduction to Relations, Operations on Sets, Subsets and Supersets, Types of Functions, Types of Relations


Median and Mode

Straight Lines and Pair of Straight Lines

Angle Between Straight Lines, Basics of a Straight Line, Bisector of Angle Between Lines, Different Forms of Equation of a Line, Family of Concurrent Lines, Introduction to Straight Lines, Slope


Compound Angles, Heights and Distances, Multiple and Submultiple Angles, Trigonometric Functions, Trigonometric Identities

Vector Algebra

Applications of Dot Product, Scalar or Dot Product, Scalar Triple Product, Vector or Cross Product


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