about jee mains:
syllabus of jee mains this year:
1. mathematics syllabus jee mains 2021:
| Unit 1: Sets, relations and functions |
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Unit 2: Complex numbers and quadratic equations |
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| Unit 3: Matrices and determinants |
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Unit 4: Permutations and combinations |
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Unit 5: Mathematical induction |
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Unit 6: Binomial theorem and its simple applications |
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Unit 7: Sequences and series |
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UNIT 8: Limit, continuity and differentiability |
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Unit 9: Integral calculus |
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Unit 10: Differential equations |
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Unit 11: Co-ordinate geometry |
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Straight lines: Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, distance of a point from a line, equations of internal and external bisectors of angles between two lines, coordinates of centroid, orthocentre and circumcentre of a triangle, equation of family of lines passing through the point of intersection of two lines. | |
Circles, conic sections: Standard form of equation of a circle, general form of the equation of a circle, its radius and centre, equation of a circle when the end points of a diameter are given, points of intersection of a line and a circle with the centre 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. | |
Unit 12: Three dimensional geometry |
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Unit 13: Vector algebra |
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Unit 14: Statistics and probability | 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. |
Unit 15: Trigonometry |
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Unit 16: Mathematical reasoning |
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2. physic syllabus 2021:
Unit 1: Physics And Measurement |
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Unit 2: Kinematics |
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Unit 3: Laws Of Motion |
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Static and Kinetic friction, laws of friction, rolling friction | |
Dynamics of uniform circular motion: Centripetal force and its applications. | |
Unit 4: 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 collisions in one and two dimensions. | |
Unit 5: Rotational Motion |
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Unit 6: Gravitation |
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Unit 7: Properties Of Solids And Liquids |
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Unit 8: Thermodynamics |
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Unit 9: Kinetic Theory Of Gases |
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Unit 10: Oscillations And Waves | 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, reflection of waves, Standing waves in strings and organ pipes, fundamental mode and harmonics, Beats, Doppler effect in sound | |
Unit 11: Electrostatics | 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, combination of capacitors in series and in parallel, capacitance of a parallel plate capacitor with and without dielectric medium between the plates, Energy stored in a capacitor.
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Unit 12: Currrent Electricity
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Unit 13: Magnetic Effects Of Current And Magnetism |
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Unit 14: Electromagnetic Induction And Alternating Currents |
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Unit 15: Electromagnetic Waves |
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Unit 16: Optics | 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
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Unit 17: Dual Nature Of Matter And radiation |
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Unit 18: Atoms And Nuclei |
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Unit 19: Electronic Devices |
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Unit 20: Communication Systems
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chemistry syllabus 2021:
Unit 1: Some Basic Concepts In Chemistry |
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Unit 2: States Of Matter | Classification of matter into solid, liquid and gaseous states. |
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Liquid State: Properties of liquids – vapour pressure, viscosity and surface tension and effect of temperature on them (qualitative treatment only). | |
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Unit 3: Atomic Structure |
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Unit 4: Chemical Bonding And Molecular Strucure
| Kossel – Lewis approach to chemical bond formation, concept of ionic and covalent bonds. |
| Ionic Bonding: Formation of ionic bonds, factors affecting the formation of ionic bonds; calculation of lattice enthalpy. |
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Unit 5: Chemical Thermodynamics | Fundamentals of thermodynamics: System and surroundings, extensive and intensive properties, state functions, types of processes. |
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Unit 6: Solutions |
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Unit 7: Equilibrium | Meaning of equilibrium, concept of dynamic equilibrium. |
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| Ionic equilibrium: Weak and strong electrolytes, ionization of electrolytes, various concepts of acids and bases (Arrhenius, Bronsted – Lowry and Lewis) and their ionization, acid-base equilibria (including multistage ionization) and ionization constants, ionization of water, pH scale, common ion effect, hydrolysis of salts and pH of their solutions, solubility of sparingly soluble salts and solubility products, buffer solutions. |
Unit 8: Redox Reactions And Electrochemistry | Electronic concepts of oxidation and reduction, redox reactions, oxidation number, rules for assigning oxidation number, balancing of redox reactions. |
Eectrolytic and metallic conduction, conductance in electrolytic solutions, specific and molar conductivities and their variation with concentration: Kohlrausch’s law and its applications. | |
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Unit 9 : Chemical Kinetics |
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Unit 10: Surface Chemistry | Adsorption- Physisorption and chemisorption and their characteristics, factors affecting adsorption of gases on solids – Freundlich and Langmuir adsorption isotherms, adsorption from solutions. |
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Section B: Inorganic Chemistry | |
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Unit 11: Classificaton Of Elements And Periodicity In Properties | Modem periodic law and present form of the periodic table, s, p, d and f block elements, periodic trends in properties of elements atomic and ionic radii, ionization enthalpy, electron gain enthalpy, valence, oxidation states and chemical reactivity. |
Unit 12: General Principles And Processes Of Isolation Of Metals | Modes of occurrence of elements in nature, minerals, ores; Steps involved in the extraction of metals – concentration, reduction (chemical and electrolytic methods) and refining with special reference to the extraction of Al, Cu, Zn and Fe; Thermodynamic and electrochemical principles involved in the extraction of metals. |
Unit 13: Hydrogen |
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Unit 14: S – Block Elements (Alkali And Alkaline Earth Metals) | Group – 1 and 2 Elements: General introduction, electronic configuration and general trends in physical and chemical properties of elements, anomalous properties of the first element of each group, diagonal relationships. |
| Preparation and properties of some important compounds – sodium carbonate and sodium hydroxide; Industrial uses of lime, limestone, Plaster of Paris and cement; Biological significance of Na, K, Mg and Ca. |
Unit 15: P – Block Elements | Group – 13 to Group 18 Elements General Introduction: Electronic configuration and general trends in physical and chemical properties of elements across the periods and down the groups; unique behaviour of the first element in each group. |
| Groupwise study of the p – block elements
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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 K2 Cr2 O7 and KMnO4 . |
Inner Transition Elements: Lanthanoids – Electronic configuration, oxidation states and lanthanoid contraction. | |
Actinoids – Electronic configuration and oxidation states. | |
Unit 17: Co-Ordination Compounds |
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Unit 18: Environmental Chemistry |
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Section C: Organic Chemistry | |
Unit 19: Purification And Characterisation Of Organic Compounds | Purification – Crystallization, sublimation, distillation, differential extraction and chromatography – principles and their applications |
Qualitative analysis – Detection of nitrogen, sulphur, phosphorus and halogens. | |
Quantitative analysis (basic principles only) – Estimation of carbon, hydrogen, nitrogen, halogens, sulphur, phosphorus. | |
Calculations of empirical formulae and molecular formulae; Numerical problems in organic quantitative analysis. | |
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: – C = C – , – C h C – and those containing halogens, oxygen, nitrogen and sulphur; Homologous series; Isomerism – structural and stereoisomerism. |
| Nomenclature (Trivial and IUPAC) |
Unit 21: Hydrocarbons | Classification, isomerism, IUPAC nomenclature, general methods of preparation, properties and reactions. |
Alkenes – Geometrical isomerism; Mechanism of electrophilic addition: addition of hydrogen, halogens, water, hydrogen halides (Markownikoff’s and peroxide effect); Ozonolysis and polymerization. | |
Alkynes – Acidic character; Addition of hydrogen, halogens, water and hydrogen halides; Polymerization. | |
Aromatic hydrocarbons – Nomenclature, benzene – structure and aromaticity; Mechanism of electrophilic substitution: halogenation, nitration, Friedel – Craft’s alkylation and acylation, directive influence of functional group in mono-substituted benzene. | |
Unit 22: Organic Compounds Containing Halogens | General methods of preparation, properties and reactions; Nature of C-X bond; Mechanisms of substitution reactions. |
Uses; Environmental effects of chloroform & iodoform. | |
Unit 23: Organic Compounds Containing Oxygen | General methods of preparation, properties, reactions and uses. |
Alcohols, Phenols And Ethers |
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Carboxylic Acids | Acidic strength and factors affecting it.
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Unit 24: Organic Compounds Containing Nitrogen |
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Unit 25: Polymers |
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UNIT 26: Biomolecules |
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UNIT 27: Chemistry in Everyday Life | Chemicals in medicines – Analgesics, tranquilizers, antiseptics, disinfectants, antimicrobials, antifertility drugs, antibiotics, antacids, antihistamins – their meaning and common examples. |
Chemicals in food – Preservatives, artificial sweetening agents – common examples. Cleansing agents – Soaps and detergents, cleansing action. | |
UNIT 28: PRINCIPLES RELATED TO PRACTICAL CHEMISTRY | Detection of extra elements (N,S, halogens) in organic compounds; Detection of the following functional groups: hydroxyl (alcoholic and phenolic), carbonyl (aldehyde and ketone), carboxyl and amino groups in organic compounds. |
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Chemistry involved in the titrimetric excercises – Acids bases and the use of indicators, oxalic-acid vs KMnO4, Mohr’s salt vs KMnO4. | |
Chemical principles involved in the qualitative salt analysis: Cations – Pb2+ , Cu2+, AI3+, Fe3+, Zn2+, Ni2+, Ca2+, Ba2+, Mg2+, NH4+. Anions- CO3 2-, S2-, SO4 2-, NO2-, NO3-, CI -, Br, I. (Insoluble salts excluded). | |
Chemical principles involved in the following experiments: | Enthalpy of solution of CuSO4 |
Enthalpy of neutralization of strong acid and strong base. | |
Preparation of lyophilic and lyophobic sols. | |
Kinetic study of reaction of iodide ion with hydrogen peroxide at room temperature. | |
the topic of physics should be complete at first are:
1.electrostatics
-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, combination of capacitors in series and in parallel, capacitance of a parallel plate capacitor with and without dielectric medium between the plates, Energy stored in a capacitor.
2.current electricity:
- 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, combination of cells in series and in parallel.
- Kirchhoff’s laws and their applications.
- Wheatstone bridge, Metre bridge.
- Potentiometer – principle and its applications.
3. magnetic field and their properties
- 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. Force between two parallel current-carrying conductors-definition of ampere. Torque experienced by a current loop in 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 ferro- magnetic substances.
- Magnetic susceptibility and permeability, Hysteresis, Electromagnets and permanent magnets.
3. optical portion
*ray optics
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
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