JEE Main Syllabus 2020 – Download PDF Of Physics, Chemistry, Maths Syllabus

The various topics from different chapters of Maths are available in this part. Candidates who are looking for JEE Main Syllabus can check the details below.

Sets, Relations, and Functions

Sets and their Representation; Union; intersection and complement of sets and their algebraic properties; power set; Relations; Types of relations; equivalence relations; functions; one-one; into and onto functions; composition of functions.

Complex Numbers and Quadratic Equation

Complex numbers as ordered pairs of real; Representation of complex numbers in the form of a+ib and their representation in a plane; Argand Diagram; algebra of complex numbers; modulus and arguments of a complex number.

Matrices and Determinants

Matrices; algebra of matrices; types of matrices; determinants; and matrices of order two and three. Properties of determinants; evaluation of determinants; areas of the triangle using determinants. Adjoint and evaluation of inverse of a square matrix using determinants and elementary transformations etc.

Permutations and Combinations

The fundamental principle of counting; permutation as an arrangement and combination as a selection; Meaning of P and C; simple applications

Mathematical Induction

Principle of Mathematical Induction and its simple applications

Binomial and its Simple Applications

Binomial Theorem for a positive integral index; general term and middle term; properties of Binomial coefficients and simple applications.

Sequences and Series

Arithmetic and geometric progressions; insertion of arithmetic; the geometric mean between two given numbers. The relation between AM and GM. Sum up to n numbers terms of special series.

Limit, Continuity, and Differentiability

Real-valued functions; algebra of functions; polynomials; rational; trigonometric; logarithmic and exponential functions; inverse functions. Graphs of simple functions. Limits; continuity; and differentiability. Differentiation of the sum; difference; product; and quotient of two functions. Differentiation of trigonometric; inverse trigonometric; logarithmic exponential; composite and implicit functions; derivatives of order up to two.

Integral Calculus

Integral as an anti-derivative. Fundamental Integral involving algebraic; trigonometric; exponential and logarithmic functions. Integration by substitution; by parts; and by partial fractions. Integration using trigonometric identities.

Differential Equation

Ordinary differential equations; their order; and their degree. Formation of differential equations. The solution of differential equations by the method of separation of variables; solution of the homogeneous and linear differential equation.

Co-ordinate Geometry

Cartesian systems of rectangular coordinates 10 in a plane; distance formula; section formula; locus and its equation; translation of axes; the slope of a line; parallel and perpendicular lines; intercepts of a line on coordinate axes; Straight Lines; Conic Sections and Circles.

Three-dimensional Geometry

Coordinates of a point in space; distance between two points; section formula; direction ratios and direction cosines; angle between two intersecting lines. Skew lines; the shortest distance between them and its equation. Equations of a line and a plane in different forms; intersection of a line and a plane; coplanar lines.

Vector Algebra

Vectors and Scalars; Addition of vectors; components of a vector in a two-dimension and three-dimensional space; scalar and vector products; scalar; and vector triple products.

Statistics and Probability

Measures of Dispersion; Probability

Trigonometry

Trigonometric identities and equations; Trigonometric Functions; Inverse trigonometric functions and their properties; Heights and Distances.

Mathematical Reasoning

Statements; logical operations; and; or; implies; implied; by; if and only if. Understanding of tautology; contradiction; converse; and contrapositive.

The details JEE Main Physics Syllabus is available below. Candidates can check the topics of the different chapters of physics in the section.

Physics and Measurements

Physics; Technology and society; SI Units; Fundamental and derived units. Least count; accuracy and precision of measuring instrument; Errors in measurement; Dimensions of Physical Quantity.

Kinematics

Frame of reference; Motion in a straight line; Position-time graph; speed and velocity; Uniform and non-uniform motion; average speed and instantaneous velocity; Scalars and vectors; Vector addition and subtraction; zero vector; scalar and vector product; unit vector; resolution of a vector; Relative Velocity; Motion in a plane; Projectile motion; uniform circular motion.

Laws of Motion

Force and Inertia; Newton’s first law of motion; momentum; Newton’s second law of motion; impulse; Newton’s third law of motion; Law of conservation of linear momentum and its application; Equilibrium of concurrent forces; Static and kinetic friction; laws of friction; rolling friction. Dynamics of uniform circular motion; centripetal force and its application.

Work, Energy, and Power

Work done by a constant force and a variable force; kinetic and potential energies; work-energy theorem; power; Potential energy of a spring; conservation of mechanical energy; conservative and non-conservative forces; Elastic and inelastic collision in one and two dimensions.

Rotational Motion

Centre of a mass of a two-particle system; center of a mass of rigid body; body concepts of rotational motion; motion of a force; torque; angular momentum; conservation of angular momentum and its applications; moment of inertia; radius of gyration. Values of moments of inertia for simple geometrical objects; parallel and perpendicular axes theorems and their applications. Rigid body rotation; equations of rotational motion.

Gravitation

The universal law of gravitation. Acceleration due to gravity and its variation with altitude and depth. Kepler’s laws of planetary motion; gravitational potential energy; gravitational potential. Escape velocity.

Properties of Solids and Liquids

Elastic Behavior; Stress-strain relationship; Hooke’s law’ Young’s modulus; bulk modulus; modulus of rigidity. Pressure due to the fluid column; Pascal’s law; and its applications. Viscosity; Stokes’ law; terminal velocity; steam line; and turbulent flow; Reynolds number. Bernoulli’s principle and its application. Surface energy and surface tension; angle of contact; application of surface tension; drops, bubbles, and capillary rise.

Thermodynamics

Thermal equilibrium; zeroth law of thermodynamics; the concept of temperature; Heat, work, and energy; First law thermodynamics; Second law thermodynamics; reversible and irreversible process; Carnot engine and its efficiency.

Kinetic Theory of Gases

Equation of a state of a perfect gas; work done on compressing a gas; Kinetic theory of gases – assumptions; the concept of pressure; Kinetic energy and temperature; rms speed of gas molecules; Degrees of freedom; Law of equipartition of energy; applications to specific heat capacities of gases; Mean free path; Avogadro’s number.

Oscillations and Waves

Periodic motion – period; frequency; displacement as a function of time. Periodic functions. Simple harmonic motion and its equation; phase; oscillations of a spring; energy in simple harmonic motion; Simple pendulum – derivation of expression for its time period; Free, forced and damped oscillations; resonance.

Wave motion; Longitudinal and transverse waves; the speed of a wave; Displacement relation of a progressive wave; Principle of superposition of a wave; the reflection of the wave; standing waves in strings and organ pipe; fundamental mode and harmonics, beats; Doppler effect in sounds.

Electrostatics

Electric charges; Electric field.

Current Electricity

Electric current; drift velocity; Ohm’s law; electric resistance; resistance of different materials; characteristics of ohm and non-ohm conductors; electrical energy and power; electrical resistivity; color code for resistors; Temperature dependence of resistance.

Electrical cell and its internal resistance; potential difference and emf of a cell; combination of cells in series and in parallel; Kirchhoff law and its application.

Magnetic Effects of Current and Magnetism

Biot – Savart Law and its application to current carrying circular loop; Ampere’s law and its application to infinitely long current carrying straight wire and solenoid; Force on a moving charge in a magnetic and electric fields.

The Force on a current-carrying conductor in a uniform magnetic field; Force between two current-carrying conductor- definitions of ampere; Current loop as a magnetic dipole and its magnetic dipole moment.

Electromagnetic Induction and Alternating Current

Electromagnetic induction; Faraday’s law; induced emf and current; Lenz’s Law; Eddy currents; Self and mutual inductance; Alternating currents; peak rms value; and impedance; LCR series circuits; resonance; Quality factor; power in AC circuits; wattless current; AC generator and transformer.

Electromagnetic Waves

Electromagnetic waves and their characteristics; transverse nature of electromagnetic waves; Electromagnetic spectrum; application of e.m. waves.

Optics

Reflection and refraction of lights at a plane and spherical surfaces; mirror formula; total internal reflection and its application; Deviation and dispersion of light by a prism; lens formula; magnification; the power of a lens; the combination of thin lenses in contact; microscope and astronomical telescope

Wave optics; wavefront and Huygens principle; laws of reflection and refraction of using Huygens principle; interference; young’s double-slit experiment for fringe width.

Dual Nature of Matter and Radiation

Dual nature of radiation; photoelectric effect; hertz and Lenard’s observations; Einstein’s photoelectric equation.

Atoms and Nuclei

Alpha particle scattering experiments; Rutherford’s model of atom; Bohr’s model; energy levels; hydrogen spectrum; composition and size of the nucleus; atomic masses.

Electronic Devices

Semiconductors; semiconductor diode; I-V characteristics in forward and reverse bias; diode as a rectifier; characteristics of LED; photodiode; solar cell; and zener diode; zener diode as a voltage regulator.

Communication Systems

Propagation of electromagnetic waves in the atmosphere; sky and wave propagation; Need for modulation; bandwidth of signals; bandwidth of transmission medium; basic elements of a communication medium.

Some Basic Concepts in Chemistry

Matter and its nature; Dalton’s atomic theory; the concept of atoms; molecule; elements; and compounds; Physical quantities and their measurements in chemistry; precision and accuracy; significant figures; SI Units; dimensional analysis; laws of chemical combination; Atomic and molecular masses; mole concept; molar masses; chemical equations, Classification of matter into solid; liquid; and gas.

Atomic Structures

Thomson and rutherford’s atomic models and its limitations; nature of electromagnetic radiation; photoelectric effect; spectrum of hydrogen atom; derivation of the relation for energy of the electron and radii of the different orbits; limitations of bohr’s model

Chemical Bonding and Molecular Structure

Kossel – Lewis approach to chemical bond formulation; concept of ionic and covalent bond.

Ionic bonding; covalent bonding; quantum mechanical approach to covalent bonding; molecular orbital theory

Chemical Thermodynamic

Fundamentals of thermodynamics; System and surroundings; extensive and intensive properties; state functions; type of processes; First and the second law of thermodynamics

Solutions

Different methods for expressing the concentration of solution – molality; molarity; mole concept; percentage; the vapor pressure of solutions and Roult’s Law – ideal and non-ideal solutions; vapor pressure; colligative properties of dilute solutions; Determination of molecular mass using molecular masses.

Equilibrium

Meaning of equilibrium; the concept of dynamic equilibrium; equilibrium involving physical processes; equilibrium involving chemical processes.

Redox Reactions and Electrochemistry

Electronic concepts of oxidation and reduction; redox reactions; oxidation number; rules for assigning oxidation number; balancing of redox reactions; Electrolytic and metallic conduction; conductor.

Chemical Kinetics

Rate of Chemical Reaction; factors affecting the rate of a chemical reaction; Arrhenius Theory; activation energy and its calculation; collision theory of bimolecular gaseous reaction.

Surface Chemistry

Adsorption – Catalysis; Colloidal States

Classification of Elements and Periodicity in Properties

Modern periodic law and present form of periodic tables; s; p; d; and f block elements; periodic trends in properties of elements; periodic trends in properties of elements atomic and ionic radii; ionization enthalpy; electron gain enthalpy; valence; oxidation states and chemical reactivity.

General Principles and Processes of Isolation of Metals

Modes of occurrence of elements in nature; minerals; ores; Steps involved in the extraction of metal – concentration; reduction; and refining with special reference to the extraction of AI; Cu; Zn; and Fe; Thermodynamics and electrochemical principles involved in the extraction of metals.

Hydrogen

Position of hydrogen in periodic tables; isotopes; preparation; properties and uses of hydrogen; physical and chemical properties of water and heavy water; Structure; preparation; reactions and uses of hydrogen peroxide; classification of hydrides – ionic; covalent and interstitial; hydrogen as a fuel.

Block Elements (Alkali and Alkaline Earth Metals)

Group 1 and 2 elements

Block Elements

Group 13 to group 18 elements.

d and f Block Elements

Transition Elements; introduction; electronic configuration; occurrence; and characteristics; general trends in properties of the first-row transition elements – physical properties; ionization enthalpy; oxidation states; atomic radii; color; catalytic behaviour; magnetic properties; complex formation; interstitial compounds; alloy formation.

Coordination Compounds

Introduction to coordination compounds; Werner’s theory; ligands; coordination number; denticity; chelation; IUPAC nomenclature of mononuclear coordination compounds; isomerism; Bonding – Valence Bond approach and basic ideas of Crystal field theory; color and magnetic properties; the importance of coordination compounds

Environmental Chemistry

Environmental Pollution; Atmospheric Pollution; Tropospheric pollutants- gaseous pollutants; particulate pollutants; stratospheric pollutants; water pollution; soil pollution.

Purification and Characterization of Organic Compounds

Purification; Qualitative Analysis; Quantitative analysis

Some basic principles of organic chemistry

Tetravalency of carbon; shapes of simple molecules; hybridizations; Classification of organic compounds based on functional groups; and those containing halogens; oxygen; nitrogen and sulfur; homologous series; isomerism.  Nomenclature; Electronic displacement on a covalent bond; Common types of reactions.

Hydrocarbons

Alkanes; Alkenes; Alkynes; Aromatic hydrocarbons

Organic Compounds Containing Halogens

General Methods of preparation; properties and reactions; Nature of CX Bond; Mechanisms of substitution reactions. Uses; Environmental effect of chloroform iodoform freons and DDT

Organic Compounds Containing Oxygen

Alcohols; Phenols and ethers; Aldehydes and Ketones; Carboxylic Acids.

Organic Compounds containing Nitrogen

Amines and Diazonium Salts

Polymers

General Introduction and classification of polymers; general methods of polymerization- addition, and condensation; copolymerization. Natural and synthetic rubber and vulcanization; some important polymers with emphasis on their monomers and uses.

Bio-Molecules

Carbohydrates; proteins; vitamins; nucleic acid.

Chemistry in Everyday Life

Chemicals in Medicine; Chemicals in food; Cleansing Agents.

Principles related to Practical Chemistry

Detection of Extra Elements inorganic compounds; Detection of functional groups: hydroxyl; carbonyl; and carboxyl and amino groups in organic compounds. The chemistry involved in the preparation of Inorganic compounds; organic compounds; chemistry involved in titrimetric exercises; Chemical process involved in the qualitative salt analysis.

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