## JEE Main Syllabus

## JEE Main 2024 Syllabus Paper-1 (B.E./B.Tech.)

**Mathematics****Physics****Chemistry**

## MATHEMATICS

**UNIT 1: SETS, RELATIONS AND FUNCTIONS**

Sets and their representation, including their union, intersection, complement, and algebraic characteristics; Power set; Relation; Relation Type; Equivalence Relation; Functions; One-One; Into and onto Functions; Composition of Functions.

**UNIT 2: COMPLEX NUMBERS AND QUADRATIC EQUATIONS**

Using complex numbers as ordered real pairs, complicated number representation of the form a + ib and representation of those numbers in a plane, Triangle inequality, modulus and argument (or amplitude) of a complex number, square root of a complex number, Argand diagram, algebra of complex numbers, Real and complex number system quadratic equations and their answers the nature of roots, how roots are formed into quadratic equations, and relationships between roots and coefficients.

**UNIT 3: MATRICES AND DETERMINANTS**

determinants, matrices of order two and three, their type, their algebra, their properties, their evaluation, the area of triangles using determinants, matrix algebra, type of matrices, A square matrix’s inverse is adjoined and evaluated using determinants and simple transformations, Using determinants and matrices, test for consistency and solve simultaneous linear equations in two or three variables.

**UNIT 4: PERMUTATIONS AND COMBINATIONS**

The fundamentals of counting, permutation and combination as arrangements and sections, the definitions of P (n, r) and C (n, r), and straightforward applications.

**UNIT 5: MATHEMATICAL INDUCTIONS**

**UNIT 6: BINOMIAL THEOREM AND ITS SIMPLE APPLICATIONS**

**UNIT 7: SEQUENCE AND SERIES**

Arithmetic and geometric progressions, arithmetic insertion, geometric means between two given numbers, and the relationship between arithmetic and geometric progressions add up to n terms in a particular series, Sn, Sn2, and Sn3. Geometric progression using algebra.

**UNIT 8: LIMIT, CONTINUITY AND DIFFERENTIABILITY**

polynomials, rational, trigonometric, logarithmic, exponential, and real-valued functions, as well as inverse and trigonometric functions. basic function graphs. boundaries, consistency, and differentiability. differentiation of the product, quotient, difference, and sum of two functions. Trigonometric, inverse trigonometric, logarithmic, exponential, composite, and implicit functions can all be differentiated, as can derivatives of up to order two, Rolle’s, and Lagrange’s derivatives. Average value Theorems, The use of derivatives Quantity variation rates, monotonic arithmetic functions of rising and decreasing order, Maxima and minima of one-variable functions, as well as tangents and normals.

**UNIT 9: INTEGRAL CALCULAS**

simple integrals of the type Integral are evaluated as the maximum of a sum. determinate integrals’ qualities, the central calculus theorem. evaluating definite integrals, calculating the standard form areas of the regions enclosed by simple curves.

**UNIT 10: DIFFERENTIAL EQUATIONS**

Common differential equations, their degree and order, how differential equations are formed, how to solve a differential equation using the method of variable separation, and how to solve a homogeneous and linear differential equation of a certain kind

**UNIT 11: CO-ORDINATE GEOMETRY**

The Cartesian system of rectangular coordinates on a plane, the formulas for distance and sections, the locus and its equation, the translation of the axes, the slope of a line, parallel and perpendicular lines, and the intercepts of a line on the coordinate axis.

**Straight line**

Different types of equations for lines, intersections of lines, angles between two lines, requirements for concurrence of three lines, the distance between a point and a line, equations for internal and external by sectors of angles between two lines, coordinates for the centroid, orthocentre, and circumcentre of a triangle, and equations for families of lines passing through the point of intersection of two lines.

**UNIT 12: THREE-DIMENSIONAL GEOMETRY**

**UNIT 13: VECTOR ALGEBRA**

**UNIT 14: STATISTICS AND PROBABILITY**

**UNIT 15: TRIGONOMETRY**

**UNIT 16: MATHEMATICAL REASONING**

## PHYSICS

The syllabus is divided into two sections: A and B. A comprises the theory portion and is weighted 80%, while B contains the practical portion (Experimental Skills) and is weighted 20%.

**Section- A UNIT 1: PHYSICS AND MEASUREMENT**

**UNIT 2: KINEMATICS**

**UNIT 3: LAWS OF MOTION**

**UNIT 4: WORK, ENERGY AND POWER**

**UNIT5: ROTATIONAL MOTION**

**UNIT 6: GRAVITATION**

**UNIT 7: PROPERTIES OF SOLIDS AND LIQUIDS**

**UNIT 8: THERMODYNAMICS**

**UNIT 9: KINETIC THEORY OF GASES**

**UNIT 10: OSCILLATIONS AND WAVES**

**UNIT 11: ELECTROSTATICS**

**UNIT 12: CURRENT ELECTRICITY**

**UNIT 13: MAGNETIC EFFECTS OF CURRENT AND MAGNETISM**

**UNIT 14: ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENTS**

**UNIT 15: ELECTROMAGNETIC WAVES**

**UNIT 16: OPTICS**

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:**

**UNIT 17: DUAL NATURE OF MATTER AND RADIATION**

**UNIT 18: ATOMS AND NUCLEI**

**UNIT 19: ELECTRONIC DEVICES**

**UNIT 20: COMMUNICATION SYSTEMS**

**SECTION-B UNIT 21: EXPERIMENTAL SKILLS**

- Vernier callipers-its use to measure the internal and external diameter and depth of a vessel.
- Screw gauge-its use to determine the thickness/ diameter of a thin sheet/wire.
- Simple Pendulum-dissipation of energy by plotting a graph between the square of amplitude and time.
- Metre Scale – the mass of a given object by the principle of moments.
- Young’s modulus of elasticity of the material of a metallic wire.
- Surf ace tension of water by capillary rise and effect of detergents,
- Co-efficient of Viscosity of a given viscous liquid by measuring terminal velocity of a given spherical body,
- Plotting a cooling curve for the relationship between the temperature of a hot body and time.
- Speed of sound in air at room temperature using a resonance tube,
- Specific heat capacity of a given (i)solid and (ii) liquid by method of mixtures.
- The resistivity of the material of a given wire using a metre bridge.
- The resistance of a given wire using Ohm’s law.
- Potentiometer-

- Resistance and figure of merit of a galvanometer by half deflection method.
- The focal length of;

- The plot of the angle of deviation vs angle of incidence for a triangular prism.
- Refractive index of a glass slab using a travelling microscope.
- Characteristic curves of a p-n junction diode in forward and reverse bias.
- Characteristic curves of a Zener diode and finding reverse break down voltage.
- Characteristic curves of a transistor and finding current gain and voltage gain.
- Identification of Diode. LED, Transistor. IC. Resistor. A capacitor from a mixed collection of such items.
- Using a multimeter to:

## CHEMISTRY

**SECTION – A PHYSICAL CHEMISTRY**

**UNIT I: SOME BASIC CONCEPTS IN CHEMISTRY**

**UNIT 2: STATES OF MATTER**

**Gaseous State:**

**Measurable properties of gases:**Gas laws – Boyle’s law, Charle’s law. Graham’s law of diffusion. Avogadro’s law, Dalton’s law of partial pressure; Concept of Absolute scale of temperature; Ideal gas equation; Kinetic theory of gases (only postulates); Concept of average, root mean square and most probable velocities; Real gases, deviation from Ideal behaviour, compressibility factor and van der Waals equation.

**Liquid State:**

**Properties of liquids**– vapour pressure, viscosity and surface tension and effect of temperature on them (qualitative treatment only).

**Solid State:**

**Classification of solids:**molecular, ionic, covalent and metallic solids, amorphous and crystalline solids (elementary idea); Bragg’s Law and its applications: Unit cell and lattices, packing in solids (fcc, bcc and hcp lattices), voids, calculations involving unit cell parameters, an imperfection in solids; Electrical and magnetic properties.

**UNIT 3: ATOMIC STRUCTURE**

**UNIT 4: CHEMICAL BONDING AND MOLECULAR STRUCTURE**

**Kossel –**

**Ionic Bonding:**

**Covalent Bonding:**

**Quantum mechanical approach to covalent bonding:**

**Molecular Orbital Theory –**

**UNIT 5: CHEMICAL THERMODYNAMICS**

**The first law of thermodynamics –**

**The second law of thermodynamics –**

**UNIT 6: SOLUTIONS**

**UNIT 7: EQUILIBRIUM**

**Equilibria involving physical processes:**

**Solid-liquid, liquid**– gas and solid-gas equilibria, Henry’s law. General characteristics of equilibrium involving physical processes.

**Equilibrium involving chemical processes:**

**Ionic equilibrium:**

**UNIT 8: REDOX REACTIONS AND ELECTROCHEMISTRY**

**Electrochemical cells**– Electrolytic and Galvanic cells, different types of electrodes, electrode potentials including standard electrode potential, half-cell and cell reactions, emf of a Galvanic cell and its measurement: Nernst equation and its applications; Relationship between cell potential and Gibbs’ energy change: Dry cell and lead accumulator; Fuel cells.

**UNIT 9: CHEMICAL KINETICS**

**UNIT 10: SURFACE CHEMISTRY**

**Adsorption-**

**Catalysis –**

**Colloidal state-**

**SECTION-B INORGANIC CHEMISTRY**

**UNIT 11: CLASSIFICATION OF ELEMENTS AND PERIODICITY IN PROPERTIES**

**UNIT 12: GENERAL PRINCIPLES AND PROCESSES OF ISOLATION OF METALS**

**UNIT 13: HYDROGEN**

**UNIT 14: S -BLOCK ELEMENTS (ALKALI AND ALKALINE EARTH METALS)**

**Group -1 and 2 Elements**

**UNIT 15: P- BLOCK ELEMENTS**

**Group -13 to Group 18 Elements**

**General Introduction:**

**Groupwise study of the p – block elements Group -13**

**Group -14**

**Group -15**

**Group -16**

**Group-17**

**Group-18**

**UNIT 16: d – and f- BLOCK ELEMENTS**

**Transition Elements**General introduction, electronic configuration, occurrence and characteristics, general trends in properties of the first-row transition elements – physical properties, ionization enthalpy, oxidation states, atomic radii, colour, catalytic behaviour, magnetic properties, complex formation, interstitial compounds, alloy formation; Preparation, properties and uses of K₂Cr₂O₇, and KMnO₄.

**Inner Transition Elements**

**Lanthanoids –**

**Actinoids –**

**UNIT 17: CO-ORDINATION COMPOUNDS**

**UNIT 18: ENVIRONMENTAL CHEMISTRY**

**Environmental pollution**

**Atmospheric pollution –**

**Tropospheric pollutants – Gaseous pollutants:**

**Particulate pollutants:**

**Stratospheric pollution-**

**Water Pollution –**

**Soil pollution –**

**SECTION-C ORGANIC CHEMISTRY**

**UNIT 19: PURIFICATION AND CHARACTERISATION OF ORGANIC COMPOUNDS**

**Purification –**

**Qualitative analysis –**

**Quantitative analysis (basic principles only) –**

**Calculations of empirical formulae and molecular formulae:**

**UNIT 20: SOME BASIC PRINCIPLES OF ORGANIC CHEMISTRY**

**Tetravalency of carbon:**Shapes of simple molecules – hybridization (s and p): Classification of organic compounds based on functional groups: and those containing halogens, oxygen, nitrogen and sulphur; Homologous series: Isomerism – structural and stereoisomerism.

**Nomenclature (Trivial and IUPAC)**

**Covalent bond fission**– Homolytic and heterolytic: free radicals, carbocations and carbanions; stability of carbocations and free radicals, electrophiles and nucleophiles. Electronic displacement in a covalent bond – Inductive effect, electromeric effect, resonance and hyperconjugation. – Common types of organic reactions- Substitution, addition, elimination and rearrangement.

**UNITS 21: HYDROCARBONS**

**Alkanes –**

**Alkenes –**

**Alkynes –**

**Aromatic hydrocarbons –**

**Friedel –**

**UNIT 22: ORGANIC COMPOUNDS CONTAINING HALOGENS**

**UNIT 23: ORGANIC COMPOUNDS CONTAINING OXYGEN**

**ALCOHOLS, PHENOLS AND ETHERS**

**Alcohols:**

**Phenols:**

**Ethers:**

**Aldehyde and Ketones:**

**Carboxylic Acids**

**UNIT 24: ORGANIC COMPOUNDS CONTAINING NITROGEN**

**UNIT 25: POLYMERS**

**UNIT 26: BIOMOLECULES**

**CARBOHYDRATES –**

**PROTEINS –**

**VITAMINS –**

**NUCLEIC ACIDS –**

**UNIT 27: CHEMISTRY IN EVERYDAY LIFE**

**Chemicals in Medicines –**

**Chemicals in food –**

**Cleansing Agents –**

**UNIT 28: PRINCIPLES RELATED TO PRACTICAL CHEMISTRY**

- The chemistry involved in the preparation of the following:

**Organic compounds:**Acetanilide, p-nitro acetanilide, aniline yellow, iodoform.

- The chemistry involved in the titrimetric exercises – Acids, bases and the use of indicators, oxalic-acid vs KMnO₄, Mohr’s salt vs KMnO₄
- Chemical principles involved in the qualitative salt analysts:

- Enthalpy of solution of CuSO₄
- Enthalpy of neutralization of strong acid and strong base.

## Syllabus Paper-2A (B.Arch)

**Part I – Mathematics****Part II – Aptitude****Part III – Drawing**

## Part –I MATHEMATICS

**UNIT 1: SETS RELATIONS AND FUNCTIONS**

**UNIT 2: COMPLEX NUMBERS AND QUADRATIC EQUATIONS:**

**UNIT 3: MATRICES AND DETERMINANTS**

**UNIT 4: PERMUTATIONS AND COMBINATIONS**

**UNIT 5: MATHEMATICAL INDUCTIONS**

**UNIT 6: BINOMIAL THEOREM AND ITS SIMPLE APPLICATIONS**

**UNIT 7: SEQUENCE AND SERIES**

**UNIT 8: LIMIT, CONTINUITY AND DIFFERENTIABILITY**

**UNIT 9: INTEGRAL CALCULAS**

**UNIT 10: DIFFRENTIAL EQUATIONS**

**UNIT11: CO-ORDINATE GEOMETRY**

**Straight line**

**Circle, conic sections**

**UNIT 12: THREE-DIMENSIONAL GEOMETRY**

**UNIT 13: VECTOR ALGEBRA**

**UNIT 14: STATISTICS AND PROBABILITY**

**UNIT 15: TRIGONOMETRY**

**UNIT 16: MATHEMATICAL REASONING**

## Part –II APTITUDE

**UNIT – 1 Awareness of persons. Buildings, Materials.**

**UNIT – 2 Three dimensional- perception:**

## Part – III DRAWING

sketching from memory of urban landscape (public space, market, festivals, street scenes, monuments, leisure places, etc.) sights and activities. Rural life and the natural environment (riverfronts, rainforest, gardens, trees, etc.).

carried out on a drawing page.

It should be noted that candidates should bring pencils. For the Drawing Test, you should have a geometry box set, crayons, and coloured pencils.

## Syllabus for Paper-2B (B.Planning)

**Part I – Mathematics****Part II – Aptitude****Part III – Planning**

## Part – I MATHEMATICS

**UNIT 1: SETS, RELATIONS AND FUNCTIONS**

**UNIT 2: COMPLEX NUMBERS AND QUADRATIC EQUATIONS**

**UNIT 3: MATRICES AND DETERMINANTS:**

**UNIT 4: PERMUTATIONS AND COMBINATIONS**

**UNIT 5: MATHEMATICAL INDUCTIONS**

**UNIT 6: BINOMIAL THEOREM AND ITS SIMPLE APPLICATIONS**

**UNIT 7: SEQUENCE AND SERIES:**

**UNIT 8: LIMIT, CONTINUITY AND DIFFERENTIABILITY**

**UNIT 9: INTEGRAL CALCULAS**

**UNIT 10: DIFFRENTIAL EQUATIONS**

**UNIT 11: CO-ORDINATE GEOMETRY**

**Straight line**

**Circle, conic sections**

**UNIT 12: THREE-DIMENSIONAL GEOMETRY**

**UNIT 13: VECTOR ALGEBRA**

**UNIT 14: STATISTICS AND PROBABILITY**

**UNIT 15: TRIGONOMETRY**

**UNIT 16: MATHEMATICAL REASONING**

## Part – II APTITUDE

**UNIT-1 Awareness of persons. Buildings, Materials**

**UNIT –2 Three dimensional- perception**

**NOTE:-**The NTA has decided to provide choices in one section (Section B) to cater to the decision of different Boards across the country regarding the reduction of the syllabus. However, the total number of questions to be attempted will remain the same (Physics – 25, Chemistry – 25 and Mathematics – 25), wherever applicable.

## Part – III PLANNING

**UNIT-1 GENERAL AWARENESS**

**UNIT-2 SOCIAL SCIENCES**

**UNIT-3 THINKING SKILLS**