JEE (Main) is in examination for all engineering aspirants who have appeared / passed Class 12 from national/state recognized boards. This exam is conducted for admission to undergraduate engineering program at National Institutes of Technology Indian Institutes of Information Technology other centrally-funded technical institutions and institutions funded by several participating state governments. JEE (Main) exam also restricts the number of attempts to three for the aspirants. The admission to Undergraduate Engineering Programs at IIITs, NITs , other centrally funded Technical Institutions, the institutions funded by several participating State Governments and several other Institutions shall involve the Joint Entrance Examination i.e. JEE (Main). JEE (Main) will also be an eligibility test for the JEE (Advanced) which the candidate has to take if he/she is aspiring for admission to the undergraduate program offered by the IITs. So this article provides you all the knowledge about JEE MAIN- Entrance Examination and Syllabus.
I. Applying candidates must have passed 10+2 examination or its equivalent qualifying examination from a recognized board or university with at least 50% marks.
II. Students who are appearing in the 10+2 examination can also apply for the exam.
III. The upper age limit to be eligible for the exam is 25 years.
JEE Main Exam Pattern & Format:
It consists of two papers- the 1st consists of Physics, Chemistry, Mathematics for B.Tech And the 2nd consists of Mathematics, Aptitude Test and Drawing for B.arch.
There are questions with 4 multiple choice option having one correct answer. For each wrong question there is a negative marking of -1 for 4mark question and -2 for 8 marks question.
The paper consists of 90 questions. Out of 30 questions in each section, 24 questions carry 4 marks and 6 question carries 8 marks. Each section carries 144 marks out of 423 marks. The test is conducted for 3 hrs.
JEE Main Syllabus:-
The syllabus of JEE Main broadly covers three areas-
I. PHYSICS SYLLABUS:
The Physics syllabus consists of the following topics:-
UNITS AND MEASUREMENT– S.I., fundamental and derived units. Dimensions and their applications.
DESCRIPTION OF MOTION IN ONE DIMENSION- Motion in a straight line, uniform and non-uniform motion, their graphical representation. Uniformly accelerated motion, and its applications
DESCRIPTION OF MOTION IN TWO AND THREE DIMENSIONS- Scalars and vectors, vector addition, a real number, zero vector and its properties. Resolution of vectors. Scalar and vector products, uniform circular motion and its applications projectile motion.
LAWS OF MOTION- Force and inertia – Newton’s Laws of Motion. Conservation of linear momentum and its applications, rocket propulsion, friction – laws of friction
WORK, ENERGY AND POWER- Concept of work, energy and power. Energy – kinetic and potential. Conservation of energy and its applications, Elastic collisions in one and two dimensions. Different forms of energy.
ROTATIONAL MOTION AND MOMENT OF INERTIA- Centre of mass of a two-particle system. Centre of mass of a rigid body, general motion of a rigid body, nature of rotational motion, torque, angular momentum, its conservation and applications. Moment of Inertia, parallel and perpendicular axes theorem, expression of moment of inertia for ring, disc and sphere.
GRAVITATION–Acceleration due to gravity, one and two-dimensional motion under gravity. Universal law of gravitation, variation in the acceleration due to gravity of the earth. Planetary motion, Kepler’s laws, artificial satellite – geostationary satellite, gravitational potential energy near the surface of earth, gravitational potential and escape velocity.
SOLIDS AND FLUIDS- Inter-atomic and Inter-molecular forces, states of matter (A) Solids : Elastic properties, Hook’s law, Young’s modulus, bulk modulus, modulus of rigidity. (B) Liquids : Cohesion and adhesion. Surface energy and surface tension. Flow of fluids, Bernoulli’s theorem and its applications. Viscosity, Stoke’s Law, terminal velocity.
OSCILLATIONS- Periodic motion, simple harmonic motion and its equation of motion, energy in S.H.M., Oscillations of a spring and simple pendulum.
WAVES–Wave motion, speed of a wave, longitudinal and transverse waves, superposition of waves, progressive and standing waves, free and forced Oscillations, resonance, vibration of strings and air-columns, beats, Doppler effect.
HEAT AND THERMODYNAMICS–Thermal expansion of solids, liquids and gases and their specific heats, Relationship between Cp and Cv for gases, first law of thermodynamics, thermodynamic processes. Second law of thermodynamics, Carnot cycle, efficiency of heat engines.
TRANSFERENCE OF HEAT- Modes of transference of heat. Thermal conductivity. Black body radiations, Kirchoff’s Law, Wien’s law, Stefan’s law of radiation and Newton’s law of cooling.
ELECTROSTATICS- Electric charge – its unit and conservation, Coulomb’s law, dielectric constant, electric field, lines of force, field due to dipole and its behaviour in a uniform electric field, electric flux, Gauss’s theorem and its applications. Electric potential, potential due to a point charge. Conductors and insulators, distribution of charge on conductors. Capacitance, parallel plate capacitor, combination of capacitors, energy of capacitor.
CURRENT ELECTRICITY- Electric current and its unit, sources of energy, cells- primary and secondary, grouping of cells resistance of different materials, temperature dependence, specific resistivity, Ohm’s law, Kirchoff’s law, series and parallel circuits. Wheatstone Bridge with their applications and potentiometer with their applications.
THERMAL AND CHEMICAL EFFECTS OF CURRENTS–Heating effects of current, electric power, simple concept of thermo-electricity – See back effect and thermocouple, Chemical effect of current – Faraday’s laws of electrolysis.
MAGNETIC EFFECTS OF CURRENTS- Oersted’s experiment, Bio-Savert’s law, magnetic field due to straight wire, circular loop and solenoid, force on a moving charge in a uniform magnetic field (Lorentz force), forces and torques on currents in a magnetic field, force between two current carrying wires, moving coil galvanometer and conversion to ammeter and voltmeter.
MAGNETOSTATICS- Bar magnet, magnetic field, lines of force, torque on a bar magnet in a magnetic field, earth’s magnetic field, para, dia and ferro magnetism, magnetic induction, magnetic susceptibility.
ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENTS- Induced e.m.f., Faraday’s Law, Lenz’s Law, Self and Mutual Inductance, alternating currents, impedance and reactance, power In a.c. Circuits with L.C. And R Series Combination, resonant circuits. Transformer and A.C. generator.
RAY OPTICS- Reflection and refraction of light at plane and curved surfaces, total internal reflection, optical fibre; deviation and dispersion of light by a prism; Lens formula, magnification and resolving power; microscope and telescope.
WAVE OPTICS-Wave nature of light; Interference – Young’s double slit experiment. Diffraction – diffraction due to a single slit. Elementary idea of polarization.
ELECTROMAGNETIC WAVES–Electromagnetic waves and their characteristics, Electromagnetic wave spectrum from gamma to radio waves – propagation of EM waves in atmosphere.
ELECTRON AND PHOTONS– Charge on an electron, e/m for an electron, photoelectric effect and Einstein’s equation of photoelectric effect.
ATOMS, MOLECULES AND NUCLEI–Alpha – particles scattering experiment, Atomic masses, size of the nucleus; radioactivity; Alpha, beta and gamma particles/ rays and their properties, radioactive decay law, half life and mean life of radio-active nuclei, binding energy, mass energy relationship, nuclear fission and nuclear fusion.
SOLIDS AND SEMI-CONDUCTORS DEVICES- Energy bands in solids, conductors, insulators and semi-conductors, pn junction, diodes, diode as rectifier, transistor action, transistor as an amplifier.
Click here to download PDF: JEE Main Syllabus for Physics
II. CHEMISTRY SYLLABUS:
The CHEMISTRY syllabus consists of the following topics:-
Some Basic concepts- Measurement in chemistry, Laws of chemical combination. Atomic Mass, Molecular Mass, mole concept, Molar Mass, determination of Molecular formula. Chemical equation, stoichiometry of Chemical reactions.
States of Matter- Gaseous state, measurable properties of gases, Boyle’s Law, Charle’s Law and absolute scale of temperature, Avogadro’s hypothesis, ideal gas equation, Dalton’s law of partial pressures. Kinetic molecular theory of gases.
Atomic Structure- Constituents of the atom, lectronic structure of atoms – nature of light and electromagnetic waves, atomic spectra, bohr’s model of hydrogen, shortcomings of the bohr model Dual nature of matter and radiation.
Solutions- Types of solutions, Units of concentration, Vapour- pressure of solutions and Raoult’s law. Colligative properties. Determination of molecular mass. Non-ideal solutions and abnormal molecular masses. Volumetric analysis-concentration unit.
Chemical Energetics and Thermodynamics- Energy changes during a chemical reaction, Internal energy and Enthalpy, Internal energy and Enthalpy changes, Origin of Enthalpy change in a reaction, Hess’s Law of constant heat summation, numerical based on these concepts. Enthalpies of reactions(Enthalpy of neutralization.
Chemical Equilibrium- Equilibrium involving physical changes. Equilibria involving chemical systems ,Effect of changing conditions of systems at equilibrium, Equilibria involving ions.
Redox Reactions and Electrochemistry- Oxidation and reduction as an electron transfer concept. Redox reactions in aqueous solutions-electrochemical cells. EMF of a galvanic cell. Dependence of EMF on concentration and temperature Electrolysis, Oxidation number ,Balancing of oxidation-reduction equations. Electrolytic conduction. Molar conductivity.
Rates of Chemical Reactions and Chemical Kinetics- Rate of reaction, Instantaneous rate of reaction and order of reaction. Factors affecting rates of reactions – factors affecting rate of collisions encountered between the reactant molecules, effect of temperature on the reaction rate, concept of activation energy, catalyst. Effect of light on rates of reactions
Surface Chemistry- Surfaces : Adsorption – Physical and chemical adsorption, adsorption isotherms Colloids – Preparation and general properties, Emulsions, Micelles Catalysis : Homogeneous and heterogeneous, structure of catalyst, Enzymes, Zeolites
Chemical Families – Periodic Properties Modern periodic law, Types of elements – Representative elements Transition elements –d-block elements, inner transition elements – f-block elements
Chemical Bonding and Molecular Structure- Chemical bonds and Lewis structure, shapes of molecules. Quantum theory of the covalent bond, hydrogen and some other simple molecules, carbon compounds, hybridization, Boron and Beryllium compounds..
Chemistry of Non-metals – I Hydrogen, Hydrides – molecular, soline and interstitial Oxygen simple oxides; ozone Water and hydrogen peroxide, structure of water molecule and its aggregates, physical and chemical properties of water, hard and soft water, water softening, hydrogen peroxide
Chemistry of Non-Metals – II Boron – occurrence, isolation, physical and chemical properties, borax and boric acid, uses of boron and its compounds. Carbon, inorganic compounds of carbon – oxides, halides, carbides, elemental carbon. Silicon – occurrence, preparation and properties, oxides and oxyacid’s of phosphorus, chemical fertilizers
Chemistry of lighter Metals- Sodium and Potassium – occurrence and extraction, properties and uses. Important compounds – NaCl, Na2CO3, NaHCO3, NaOH, KCI, KOH. Magnesium and calcium – occurrence and extraction, properties and uses.
Heavy Metals- Iron – Occurrence and extraction, compounds of iron, oxides, halides, sulphides, sulphate, alloy and steel. Copper and silver – occurrence and extraction, properties and uses, compounds – sulphides, halides and sulphates
Chemistry of Representative Elements- Periodic properties – Trends in groups and periods (a) Oxides-nature (b) Halides-melting points (c) Carbonates and sulphates – solubility. The chemistry of s and p block elements, electronic configuration, general characteristic properties and oxidation states of the following :- Group 1 elements – Alkali metals and Group 2 elements
Transition Metals including Lanthanides- Electronic configuration: General characteristic properties, oxidation states of transition metals. First row transition metals and general properties of their compounds-oxides, halides and sulphides. General properties of second and third row transition elements
Coordination Chemistry and Organo Metallic- Coordination compounds, Nomenclature : Isomerism in coordination compounds; Bonding in coordination compounds, Werner’s coordination theory. Applications of coordination compounds.
Nuclear Chemistry- Nature of radiations from radioactive substances. Nuclear reactions; Radioactive disintegration series; Artificial transmutation of elements; Nuclear fission and Nuclear fusion: Isotopes and their applications: Radio carbon-dating.
Purification and Characterization of Organic Compounds- Purification (crystallization, sublimation, distillation, differential extraction, chromatography).Qualitative analysis, detection of nitrogen, sulphur, phosphorus and halogens.Quantitative analysis – estimation of carbon, hydrogen, nitrogen, halogens, sulphur, phosphorus
Some Basic Principles- Classification of Organic Compounds. Tetravalency of Carbon. Homologous series. Functional groups– –C = C –, – C C –, and groups containing halogen, oxygen, nitrogen and sulphur. General introduction to naming organic compounds – Common names and IUPAC nomenclature of aliphatic, aromatic and Cyclic Compounds.
Hydrocarbons- Classification. Sources of hydrocarbons: Alkanes – General methods of preparation (from unstated hydrocarbons, alkyl halides, aldehydes, ketones and carboxylic acids). Physical properties and reactions (Substitution, oxidation and miscellaneous). Conformations of alkanes
Organic Compounds Containing Halogen- Methods of preparation, physical properties and reactions. Preparation, properties and uses of Chloroform and Iodoform,
Organic compounds containing Oxygen- General methods of preparation, correlation of physical properties with their structures, chemical properties and uses of Alcohols, polyhydric alcohols, Ethers, aldehydes, ketones, carboxylic acids and their derivatives, Phenol.
Organic Compounds Containing- Nitrogen Nomenclature and classification of amines, cyanides, isocyanides, nitro compounds and their methods of preparation; correlation of their physical properties with structure, chemical reactions and uses – Basicity of amines
Synthetic and Natural Polymers- Classification of Polymers, natural and synthetic polymers and important uses of the following : Teflon, PVC, Polystyrene, Nylon-66, terylene, Bakelite
Bio Molecules and Biological Processes- The Cell and Energy Cycle Carbohydrates : Monosaccharide’s, Disaccharides, Polysaccharides Amino acids and Peptides – Structure and classification. Proteins and Enzymes – Structure of Proteins, Role of enzymes. Nucleic Acids – DNA and RNA Biological functions of Nucleic acids – Protein synthesis and replication Lipids – Structure, membranes and their functions.
Chemistry in Action- Dyes, Chemicals in medicine, Rocket propellants, Mechanism of reaction, Photochemical reactions, photography. Zinc and Mercury –occurrence and extraction, properties and uses, compounds -oxides, halides; sulphides and sulphates. Tin and Lead – occurrence and extraction, properties and uses, compounds oxides, sulphides, halides, elimination and rearrangement reactions. Illustrations with examples.
Environmental Chemistry- Environmental pollutants; soil, water and air pollution; major atmospheric pollutants; acid rain, Ozone and its reactions causing ozone layer depletion, effects of the depletion of ozone layer, industrial air pollution.
Click here to download: JEE Main Syllabus for Chemistry
III. MATHEMATICS SYLLABUS:
The MATHEMATICS syllabus consists of the following topics:-
Sets, Relations and Functions- Sets and their Representations, Union, intersection and complements of sets, and their algebraic properties, Relations, equivalence relations, mappings, one-one, into and onto mappings, composition of mappings.
Complex Numbers- Complex numbers in the form a+ib and their representation in a plane. Argand diagram. Algebra of complex numbers, Modulus and Argument of a complex number, square root of a complex number.
Matrices and Determinants- Determinants and matrices of order two and three, properties of determinants, Evaluation of determinants. Area of triangles using determinants, Addition and multiplication of matrices, adjoin and inverse of matrix.
Quadratic Equations- Quadratic equations in real and complex number system and their solutions. Relation between roots and co-efficient, nature of roots, formation of quadratic equations with given roots; Symmetric functions of roots, equations reducible to quadratic equations
Permutations and Combinations- Fundamental principle of counting; Permutation as an arrangement and combination as selection,
Mathematical Induction and Its applications
Binomial Theorem and its Applications- Binomial Theorem for a positive integral index; general term and middle term; Binomial Theorem for any index. Properties of Binomial Co-efficient. Simple applications for approximations.
Sequences and Series- Arithmetic, Geometric and Harmonic progressions. Insertion of Arithmetic Geometric and Harmonic means between two given numbers. Arithmetic-Geometric Series, Exponential and Logarithmic series.
Differential Calculus- Polynomials, rational, trigonometric, logarithmic and exponential functions, Inverse functions. Graphs of simple functions. Limits, Continuity; 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. Applications of derivatives:
Integral Calculus- Integral as an anti-derivative. Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integration by substitution, by parts and by partial fractions. Integration using trigonometric identities. Integral as limit of a sum. Properties of definite integrals. Evaluation of definite integrals; Determining areas of the regions bounded by simple curves
Differential Equations- Ordinary differential equations, their order and degree. Formation of differential equations. Solution of differential equations by the method of separation of variables.
Two dimensional Geometry- Recall of Cartesian system of rectangular co-ordinates in a plane, distance formula, area of a triangle, condition for the collinearity of three points and section formula, centroid and in-center of a triangle, locus and its equation, translation of axes, slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axes.
Click here to download PDF : JEE Main Syllabus for Mathematics
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