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# JEE Main Syllabus 2023

JEE Main Syllabus - JEE Main Exam Syllabus 2023 for Paper 1 contains the syllabus of Physics, Chemistry, and Mathematics of CBSE classes 11th and 12th. While the questions in Paper 2 will be mostly on Aptitude and Drawing along with some class 12-level Mathematics. Paper I consists of 90 questions of 4 marks each and Paper 2 comprises a total of 82 questions. National Test Agency (NTA) will operate the JEE Main Exam twice a year from 2023 onwards. ## JEE Main Exam Syllabus 2023

JEE Main Mathematics Exam Syllabus

 JEE Sets, relations, and functions Syllabus Sets and their representation Union, intersection, and complement of sets and their algebraic properties Power set; Relation, Types of relations, equivalence relations, functions; One-one, into and onto functions, the composition of functions. JEE Main Complex numbers and quadratic equations Syllabus Complex numbers as ordered pairs of reals, Representation of complex numbers in the form a+ib and their representation in a plane, Argand diagram, Algebra of complex numbers, Modulus and argument (or amplitude) of a complex number, The square root of a complex number, Triangle inequality, Quadratic equations in real and complex number system and their solutions. Relation between roots and coefficients, nature of roots, and the formation of quadratic equations with given roots. JEE Main Matrices and determinants Syllabus Matrices, Algebra of matrices, Types of matrices, Determinants and Matrices of orders two and three. Properties of determinants, Evaluation of determinants, Area of triangles using determinants. Adjoint and evaluation of inverse of a square matrix using determinants and elementary transformations, Test of consistency and solution of simultaneous linear equations in two or three variables using determinants and matrices. JEE Main Permutations and combinations Syllabus Fundamental principle of counting, Permutation as an arrangement and Combination as selection, Meaning of P (n,r) and C (n,r), Simple applications. JEE Main Mathematical induction Exam Syllabus Principle of Mathematical Induction and its simple applications JEE Main Binomial theorem and its simple applications Syllabus Binomial theorem for a positive integral index, General term and middle term, Properties of Binomial coefficients Simple applications JEE Main Sequences and series Syllabus Arithmetic and Geometric progressions, Insertion of arithmetic, Geometric means between two given numbers Relation between A.M. and G.M. sum up to n terms of special series: S n, S n2, Sn3 Arithmetic - Geometric progression JEE Main Limit, continuity, and differentiability Syllabus 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 Rolle’s and Lagrange’s Mean Value Theorems Applications of derivatives: Rate of change of quantities, monotonic - increasing and decreasing functions, Maxima and minima of functions of one variable, Tangents and normals JEE Integral calculus Syllabus Integral as an antiderivative. Fundamental integrals involve algebraic, trigonometric, exponential, and logarithmic functions. Integration by substitution, by parts, and by partial fractions. Integration using trigonometric identities. Evaluation of simple integrals of the type Integral as limit of a sum. Fundamental Theorem of Calculus. Properties of definite integrals. Evaluation of definite integrals, determining areas of the regions bounded by simple curves in standard form. JEE Differential equations Syllabus Ordinary differential equations, their order, and degree. Formation of differential equations. Solution of differential equations by the method of separation of variables, solution of homogeneous and linear differential equations of the type: dy/dx+p(x)y=q(x) JEE Coordinate geometry Syllabus Cartesian system of rectangular co-ordinates 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 the coordinate axes Straight lines: Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, a distance of a point from a line, equations of internal and external bisectors of angles between two lines, coordinates of the centroid, the orthocentre and circumcentre of a triangle, equation of the family of lines passing through the point of intersection of two lines. Circles, conic sections: Standard form of the equation of a circle, the general form of the equation of a circle, its radius and center, equation of a circle when the endpoints of a diameter are given, points of intersection of a line and a circle with the center at the origin and condition for a line to be tangent to a circle, equation of the tangent. Sections of cones, equations of conic sections (parabola, ellipse, and hyperbola) in standard forms, condition for y = mx + c to be a tangent and point (s) of tangency. JEE Three-dimensional geometry Syllabus Coordinates of a point in space, the distance between two points, section formula, direction ratios, and direction cosines, the angle between two intersecting lines. Skew lines, the shortest distance between them, and their equation. Equations of a line and a plane in different forms, the intersection of a line and a plane, coplanar lines. JEE Vector Algebra Syllabus Vectors and scalars, In addition to vectors, Components of a vector in two dimensions and three-dimensional space, Scalar and vector products, scalar and vector triple product JEE Statistics and probability Syllabus Measures of Dispersion: Calculation of mean, median, mode of grouped and ungrouped data calculation of standard deviation, variance and mean deviation for grouped and ungrouped data. Probability: Probability of an event, addition and multiplication theorems of probability, Baye’s theorem, probability distribution of a random variate, Bernoulli trials, and Binomial distribution. JEE Main Trigonometry Syllabus Trigonometrical identities and equations Trigonometrical functions Inverse trigonometrical functions and their properties Heights and Distances JEE Mathematical Reasoning Syllabus Statements, logical operations and, or, implies, implied by, if and only if Understanding of tautology, contradiction, converse, and contrapositive

### JEE Main Exam Topic-wise Weightage for Mathematics

 Topics No of Questions Marks Weightage Quadratic Equation 1 4 3.33% Sequences and  Series 2 8 6.67% Trigonometric Equation 1 4 3.33% Limit 1 4 3.33% Differentiability 1 4 3.33% Indefinite Integration 1 4 3.33% Definite Integration 1 4 3.33% Differential Equation 1 4 3.33% Area Under the Curve 1 4 3.33% Straight Line 2 8 6.67% Vector 1 4 3.33% 3-D 2 8 6.67% Permutation and combination 1 4 3.33% Probability 1 4 3.33% Complex Number 1 4 3.33% Binominal Theorem 1 4 3.33% Determinant 2 8 6.67% Tangent and Normal 1 4 3.33% Maxima and Minima 1 4 3.33% Statistics 1 4 3.33% Parabola 1 4 3.33% Ellipse 1 4 3.33% Hyperbola 1 4 3.33% Mathematical Reasoning 1 4 3.33% Height & Distance 1 4 3.33% Sets 1 4 3.33% Total 30 120 100%

Best Books for JEE Main Mathematics Syllabus:

• Maths XI & XII – NCERT
• Coordinate Geometry (Author: S. L. Loney)
• Trigonometry (Author: S. L. Loney)
• Higher Algebra (Author: Hall & Knight)

### JEE Main Physics Syllabus

 JEE Main Physics And Measurement Syllabus Physics, technology and society, S I units, Fundamental and derived units Least count, accuracy, and precision of measuring instruments, Errors in measurement, Dimensions of Physical quantities, dimensional analysis, and its applications JEE Main Kinematics Syllabus Frame of reference Motion in a straight line: Position-time graph, speed and velocity Uniform and non-uniform motion, average speed, and instantaneous velocity Uniformly accelerated motion, velocity-time, position-time graphs, relations for uniformly accelerated motion. Scalars and Vectors, Vector addition and Subtraction, Zero Vector, Scalar and Vector products, Unit Vector, Resolution of a Vector Relative Velocity, Motion in a plane, Projectile Motion, Uniform Circular Motion JEE Main Laws Of Motion Syllabus 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 applications, Equilibrium of concurrent forces. Static and Kinetic friction, laws of friction, rolling friction Dynamics of uniform circular motion: Centripetal force and its applications JEE Main Work, Energy, And Power Syllabus 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 collisions in one and two dimensions. JEE Main Rotational Motion Syllabus Centre of the mass of a two-particle system, Centre of the mass of a rigid body; Basic concepts of rotational motion; a moment of a force, torque, angular momentum, conservation of angular momentum and its applications; a moment of inertia, the 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 JEE Main Gravitation Syllabus 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. Orbital velocity of a satellite. Geo-stationary satellites JEE Main Properties Of Solids And Liquids Syllabus Elastic behavior, Stress-strain relationship, Hooke’s Law, Young’s modulus, bulk modulus, modulus of rigidity. Pressure due to a fluid column; Pascal’s law and its applications. Viscosity, Stokes’ law, terminal velocity, streamline and turbulent flow, Reynolds number. Bernoulli’s principle and its applications. Surface energy and surface tension, angle of contact, application of surface tension – drops, bubbles, and capillary rise. Heat, temperature, thermal expansion; specific heat capacity, calorimetry; change of state, latent heat. Heat transfer-conduction, convection and radiation, Newton’s law of cooling JEE Main Thermodynamics Subject Syllabus Thermal equilibrium, zeroth law of thermodynamics, concept of temperature. Heat, work, and internal energy. The first law of thermodynamics. The second law of thermodynamics: reversible and irreversible processes. Carnot engine and its efficiency. JEE Main Kinetic Theory Of Gases Exam Syllabus Equation of 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 JEE Main Oscillations And Waves Syllabus Periodic motion – period, frequency, displacement as a function of time. Periodic functions. Simple harmonic motion (S.H.M.) and its equation; phase; oscillations of a spring -restoring force and force constant; energy in S.H.M. – Kinetic and potential energies; Simple pendulum – derivation of expression for its time period; Free, forced and damped oscillations, resonance Wave motion - Longitudinal and transverse waves, speed of a wave. Displacement relation for a progressive wave. Principle of superposition of waves, a reflection of waves, Standing waves in strings and organ pipes, fundamental mode and harmonics, Beats, Doppler effect in sound JEE Main Electrostatics Syllabus Electric charges: Conservation of charge, Coulomb’s law-forces between two point charges, forces between multiple charges; superposition principle and continuous charge distribution. Electric field: Electric field due to a point charge, Electric field lines, Electric dipole, Electric field due to a dipole, Torque on a dipole in a uniform electric field. Electric flux, Gauss’s law, and its applications to find field due to infinitely long uniformly charged straight wire, uniformly charged infinite plane sheet, and uniformly charged thin spherical shell. Electric potential and its calculation for a point charge, electric dipole and system of charges; Equipotential surfaces, Electrical potential energy of a system of two point charges in an electrostatic field. Conductors and insulators, Dielectrics and electric polarization, capacitor, a combination of capacitors in series and in parallel, the capacitance of a parallel plate capacitor with and without dielectric medium between the plates, Energy stored in a capacitor. JEE Main Current Electricity Syllabus Electric current, Drift velocity, Ohm’s law, Electrical resistance, Resistances of different materials, V-I characteristics of Ohmic and nonohmic conductors, Electrical energy and power, Electrical resistivity, Colour code for resistors; Series and parallel combinations of resistors; Temperature dependence of resistance. Electric Cell and its Internal resistance, potential difference and emf of a cell, a combination of cells in series and in parallel. Kirchhoff’s laws and their applications. Wheatstone bridge, Metre bridge. Potentiometer – principle and its applications. JEE Main Magnetic Effects Of Current And Magnetism Syllabus Biot – Savart law and its application to current carrying circular loop. Ampere’s law and its applications to infinitely long current carrying straight wire and solenoid. Force on a moving charge in uniform magnetic and electric fields. Cyclotron. Force on a current-carrying conductor in a uniform magnetic field. The force between two parallel current-carrying conductors-definition of ampere. Torque experienced by a current loop in a uniform magnetic field; Moving coil galvanometer, its current sensitivity, and conversion to ammeter and voltmeter. Current loop as a magnetic dipole and its magnetic dipole moment. Bar magnet as an equivalent solenoid, magnetic field lines; Earth’s magnetic field and magnetic elements. Para-, dia- and ferromagnetic substances. Magnetic susceptibility and permeability, Hysteresis, Electromagnets, and permanent magnets. JEE Main Electromagnetic Induction And Alternating Currents Syllabus Electromagnetic induction; Faraday’s law, induced emf and current; Lenz’s Law, Eddy currents. Self and mutual inductance. Alternating currents, peak and RMS value of alternating current/ voltage; reactance and impedance; LCR series circuit, resonance; Quality factor, power in AC circuits, wattles current. AC generator and transformer JEE Main Electromagnetic Waves Syllabus Electromagnetic waves and their characteristics. Transverse nature of electromagnetic waves. Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet, Xrays, gamma rays). Applications of e.m. waves JEE Main Optics Syllabus Reflection and refraction of light at plane and spherical surfaces, mirror formula, Total internal reflection, and its applications, Deviation and Dispersion of light by a prism, Lens Formula, Magnification, Power of a Lens, Combination of thin lenses in contact, Microscope and Astronomical Telescope (reflecting and refracting) and their magnifying powers. Wave optics Wavefront and Huygens’ principle, Laws of reflection, and refraction using Huygen’s principle. Interference, Young’s double-slit experiment, and expression for fringe width. Diffraction due to a single slit, width of central maximum. Resolving power of microscopes and astronomical telescopes, Polarisation, plane polarized light; Brewster’s law uses of plane-polarized light and Polaroids. JEE Main Dual Nature Of Matter And radiation Syllabus Dual nature of radiation. Photoelectric effect, Hertz and Lenard’s observations; Einstein’s photoelectric equation; particle nature of light. Matter waves-wave nature of particle, de Broglie relation. Davisson-Germer experiment. JEE Main Atoms And Nuclei Syllabus Alpha-particle scattering experiment; Rutherford’s model of atom; Bohr model, energy levels, hydrogen spectrum. Composition and size of nucleus, atomic masses, isotopes, isobars; isotones. Radioactivity-alpha, beta and gamma particles/rays, and their properties; radioactive decay law. Mass-energy relation, mass defect; binding energy per nucleon and its variation with mass number, nuclear fission, and fusion. JEE Main Electronic Devices Syllabus Semiconductors; semiconductor diode: I-V characteristics in forward and reverse bias; diode as a rectifier; I-V characteristics of LED, photodiode, solar cell, and Zener diode; Zener diode as a voltage regulator. Junction transistor, transistor action, characteristics of a transistor; transistor as an amplifier (common emitter configuration) and oscillator. Logic gates (OR, AND, NOT, NAND and NOR). Transistor as a switch. JEE Main Communication Systems Syllabus Propagation of electromagnetic waves in the atmosphere; Sky and space wave propagation, Need for modulation, Amplitude and Frequency Modulation, The bandwidth of signals, The bandwidth of Transmission medium, Basic Elements of a Communication System (Block Diagram only).

#### JEE Main Topic-wise Weightage for Physics

 Topics No of Questions Marks Weightage Electrostatics 1 4 3.33% Current Electricity 3 12 10.00% Capacitor 1 4 3.33% Magnetic Effect of Current & Magnetism 2 8 6.67% Alternating Current 2 8 6.67% KTG & Thermodynamics 2 8 6.67% SHM 1 4 3.33% Sound Waves 1 4 3.33% Kinematics 1 4 3.33% Work Power Energy 1 4 3.33% Kinematics 1 4 3.33% Laws of motion 1 4 3.33% Work, Power and Energy 1 4 3.33% Centre Of Mass 2 8 6.67% Rotational Dynamics 2 8 6.67% Modern Physics 2 8 6.67% NLM 1 4 3.33% Elasticity 1 4 3.33% Wave Optics 2 8 6.67% Error 1 4 3.33% Circular Motion 1 4 3.33% Electromagnetic Waves 1 4 3.33% Semiconductors 1 4 3.33% Communication System 1 4 3.33% Total 30 120 100%

#### Best Books for JEE Main Physics Syllabus:

• Concepts of Physics Volume 1 and Volume 2 (Author: H.C. Verma)
• Advanced Physics (Author: Nelkon and Parker)
• Objective Questions on Physics- Chapterwise Solved Papers (Author: D.C. Pandey)
• Feynman Lectures on Physics (Author: Feynman, Leighton, and Sands)
• Problems in Physics (Author: AA Pinsky)
• Fundamentals of Physics (Author: Halliday, Resnick, and Walker)
• Problems in General Physics (Author: IE Irodov)

#### JEE Main Topic-wise Weightage for Chemistry

 Topics No of Questions Marks Transition Elements and Coordination Chemistry 3 12 Periodic table and Representative Elements 3 12 Thermodynamics And Gaseous State 2 8 Atomic Structure 2 8 Chemical Bonding 2 8 Chemical And Ionic Equilibrium 2 8 Solid-State And Surface Chemistry 2 8 Nuclear Chemistry And Environment 2 8 Mole Concept 1 4 Redox Reaction 1 4 Electrochemistry 1 4 Chemical Kinetics 1 4 Solution and Colligative Properties 1 4 General Organic Chemistry 1 4 Stereochemistry 1 4 Hydrocarbon 1 4 Alkyl Halides 1 4 Carboxylic Acid and their Derivatives 1 4 Carbohydrates, amino acid, and Polymers 1 4 Aromatic Compounds 1 4

Best Books for JEE Main Chemistry Syllabus:

• Numerical Chemistry (Author: P. Bahadur)
• Organic Chemistry (Author: Morrison & Boyd)
• Chemistry - NCERT
• Inorganic Chemistry (Author: J.D. Lee)
##### JEE Main Syllabus 2023 for Paper 2 - Barc
 Part I Awareness of persons, places, Buildings, Materials. Objects, Texture related to Architecture and build—environment. Visualizing three-dimensional objects from two-dimensional drawings. Visualizing. different sides of three-dimensional objects. Analytical Reasoning Mental Ability (Visual, Numerical, and Verbal). Part II Three-dimensional - perception: Understanding and appreciation of scale and proportion of objects, building forms, and elements, color texture, harmony, and contrast. Design and drawing of geometrical or abstract shapes and patterns in pencil. Transformation of forms both 2 D and 3 D union, subtraction, rotation, development of surfaces and volumes, Generation of Plan, elevations, and 3 D views of objects. Creating two-dimensional and three-dimensional compositions using given shapes and forms. Sketching of scenes and activities from memory of urbanscape (public space, market, festivals, street scenes, monuments, recreational spaces, etc.), landscape (river fronts, jungles, trees, plants, etc.), and rural life.
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