NATIONAL LEVEL ONLINE/OFFLINE TEST
JEE Main is national level entrance examination for admission in B.Tech, B.Arch and B.Planning courses for class 12th students. This year it is going to take place April 3, 2017, April 9, 2017 and April 10, 2017. The test will be cover the topics of class 11 and class 12 CBSE syllabus. As performing well in JEE Main will make you eligible for the next phase i.e. JEE Advanced and also for admission in the Institutes which accept JEE Main score so you need to prepare for it efficiently, For this first you have to make yourself familiar with the syllabus, important topics and exam pattern followed
Lets first discuss the exam pattern for both Paper-1 and Paper -2.
Paper -1 is scheduled to be conducted on April 3, 2017 in pen paper mode and April 9, April 10, 2017 in online. Candidates are advised to get familiar with JEE Main Exam Pattern and syllabus. There will be 90 questions to be attempted in 3 hours. For every correct answer 4 marks will be awarded and ¼ mark will be reduced for every wrong answer. The subject wise distribution for paper-1 is as follows:-
|Subject||Class 11||Class 12||Total|
Paper 2 would take place on April 3, 2017 (Sunday) and you can appear only in pen paper mode. This paper will also contain 3 sections namely Mathematics, Aptitude test and Drawing Test. Based on results of this paper admission will be granted in B.Arch/B.Plan courses.
|JEE MAIN EXAM PATTERN||JEE MAIN||JEE MAIN APPLICATION FORM||JEE MAIN RESULTS||JEE MAIN PAPER ANALYSIS|
Following are highlights of JEE Main 2017 Paper 2-
Negative marking- Negative marking will be applicable only to objective type questions. 1 mark will be deducted for each wrong attempt
below is the detailed syllabus for Mathematics, Physics and Chemistry, you can note down the important topics and start preparing accordingly
JEE Main 2017 Maths Syllabus
Mathematics Part would consist of class 11th and 12th topics as per CBSE Syllabus. Usually this part contains mix ratio of questions from different topics. There will be 30 questions in this section, first lets discsuss the weightage given to different topics:-
The expected difficulty level of questions in JEE Main Maths section is indicated in the table below. This section can be said to be moderate to difficult level exam.
Provided here CBSE recommended complete syllabus of Mathematics for JEE Main.
Unit 1 : Sets, Relations and Functions:
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, composition of functions.
Unit 2 : Complex Numbers and Quadratic Equations:
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, square root of a complex number, triangle inequality, Quadratic equations in real and complex number system and their solutions. Relation between roots and co-efficients, nature of roots, formation of quadratic equations with given roots.
Unit 3 : Matrices and Determinants:
Matrices, algebra of matrices, types of matrices, determinants and matrices of order 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.
Unit 4 : Permutations And Combinations:
Fundamental principle of counting, permutation as an arrangement and combination as selection, Meaning of P (n, r) and C (n, r) simple applications.
Unit 5 : Mathematical Induction:
Principle of Mathematical Induction and its simple applications.
Unit 6 : Binomial Theorem and its simple Applications:
Binomial theorem for a positive integral index, general term and middle term, properties of Binomial coefficients and simple applications.
Unit 7 : Sequences and Series:
Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers. Relation between A.M. and G.M. Sum upto n terms of special series: S n, S n2, Sn3. Arithmetico – Geometric progression.
Unit 8 : 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 upto 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.
Unit 9 : 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.
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.
Unit 10: Differential Equations:
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:
Unit 11: Co-ordinate Geometry:
Cartesian system of rectangular co-ordinates 10 in a plane, distance formula, section formula, locus and its equation, translation of axes, 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, 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: hree 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.
Unit 13: Vector Algebra:
Vectors and scalars, addition of vectors, components of a vector in two dimensions and three dimensional space, scalar and vector products, scalar and vector triple product.
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:
Trigonometrical identities and equations. Trigonometrical functions. Inverse trigonometrical functions and their properties. Heights and Distances.
Unit 16: Mathematical Reasoning:
Statements, logical operations and, or, implies, implied by, if and only if. Understanding of tautology, contradiction, converse and contrapositive.
Que 1:-The mean of the data set comprising of 16 observations is 16.If one of the valued 16 is deleted and 3 new observation valued 3,4 and 5 are added to the data, then the mean of the resultant data is
Que 2:-The equation of the plane containing the line 2x+3y+6z=3 , x+y+4z=5 and parallel to the plane x+3y+6z=16
Que 3:- If m is the A.M. of two distinct real numbers l and n where l,n>1 and G1 ,G2 and G3 are 3 geometric progressions between l and n then G14 +2G24+G34 equals
Que 4:-Let O be the vertex and Q be any point on the parabola x2=8y .If the point P divides the line segment OQ internally in the ratio 1:3 then locus of P is
Que 5:-The number of points having both coordinates as integers that lie in the interior of the triangle with vertices(0,0), (0,41),(41,0) is
Chemistry section will consist of
Unit 1: Some Basic Concepts in Chemistry-Matter and its nature, Dalton's atomic theory; Concept of atom, molecule, element and compound;Physical quantities and their measurements in Chemistry, precision and accuracy, significant figures, S.I.Units, dimensional analysis; Laws of chemical combination; Atomic and molecular masses, mole concept, molar mass, percentage composition, empirical and molecular formulae; Chemical equations and stoichiometry.
Unit 2: States of Matter-Classification of matter into solid, liquid and gaseous states.
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, imperfection in solids; Electrical,magnetic and dielectric properties.
Liquid State:Properties of liquids — vapour pressure, viscosity and surface tension and effect of temperature on them (qualitative treatment only).
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.
Unit 3: Atomic Structure-Thomson and Rutherford atomic models and their limitations; Nature of electromagnetic radiation, photoelectric effect; Spectrum of hydrogen atom, Bohr model of hydrogen atom — its postulates,derivation of the relations for energy of the electron and radii of the different orbits, limitations of Bohr's model; Dual nature of matter, de-Broglie's relationship, Heisenberg uncertainty principle. Elementary ideas of quantum mechanics, quantum mechanical model of atom, its important features, and 2, concept of atomic orbitals as one electron wave functions; Variation of and 2 with or 1s and 2s orbitals; various quantum numbers (principal, angular momentum and magnetic quantum numbers) and their significance; shapes of s, p and d — orbitals, electron spin and spin quantum number; Rules for filling electrons in orbitals — aufbau principle, Pauli's exclusion principle and Hund's rule, electronic configuration of elements, extra stability of half-filled and completely filled orbitals.
Unit 4: Chemical Bonding and Molecular Structure-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.
Covalent Bonding: Concept of electronegativity, Fajan's rule, dipole moment; Valence Shell Electron Pair Repulsion (VSEPR) theory and shapes of simple molecules. Quantum mechanical approach to covalent
bonding: Valence bond theory — Its important features, concept of hybridization involving s, p and d orbitals; Resonance.
Molecular Orbital Theory — Its important features, LCAOs, types of molecular orbitals (bonding, antibonding), sigma and pi-bonds, molecular orbital electronic configurations of homonuclear diatomic molecules, concept of bond order, bond length and bond energy.Elementary idea of metallic bonding. Hydrogen bonding and its applications.
Unit 5: Chemical Thermodynamics-Fundamentals of thermodynamics: System and surroundings, extensive and intensive properties, state functions, types of processes.
First law of thermodynamics — Concept of work, heat internal energy and enthalpy, heat capacity, molar heat capacity;Hess's law of constant heat summation; nthalpies of bond issociation formation, atomization, sublimation, phase transition, hydration, ionization and solution. Second law of thermodynamics; Spontaneity of processes; DS of the universe and DG of the system as criteria for spontaneity, Dgo (Standard Gibbs energy change) and equilibrium constant.
Unit 6: Solutions-Different methods for expressing concentration of solution — molality, molarity, mole fraction,percentage (by volume and mass both), vapour pressure of solutions and Raoult's Law — Ideal and nonideal solutions, vapour pressure — composition, plots for ideal and non-ideal solutions; Colligative properties of dilute solutions — relative lowering of vapour pressure, depression of freezing point, elevation of boiling point and osmotic pressure; Determination of molecular mass using colligative properties; Abnormal value of molar mass, van't Hoff factor and its significance.
Unit 7: Equilibrium-Meaning of equilibrium, concept of dynamic equilibrium Equilibrium involving physical processes: Solid -liquid, liquid — gas and solid — gas equilibrium, Henry's law, general characteristics of equilibrium involving physical processes.
Equilibrium involving chemical processes: Law of chemical equilibrium, equilibrium constants (Kp and Kc) and their significance, significance of DG and DGo in chemical equilibrium, factors affecting equilibrium concentration, pressure, temperature, effect of catalyst; Le Chatelier's principle.
Ionic equilibrium: Weak and strong electrolytes, ionization of electrolytes, various concepts of acids and bases (Arrhenius, Br??nsted — Lowry and Lewis) and their ionization, acid — base equilibrium (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.
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-Rate of a chemical reaction, factors affecting the rate of reactions: concentration, temperature, pressure and catalyst; elementary and complex reactions, order and molecularity of reactions, rate law, rate constant and its units, differential and integral forms of zero and first order reactions, their characteristics and half — lives, effect of temperature on rate of reactions — Arrhenius theory, activation energy and its calculation, collision theory of bimolecular gaseous reactions (no derivation).
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.
Colloidal state — distinction among true solutions, colloids and suspensions, classification of colloids —lyophilic, lyophobic; multi molecular, macromolecular and associated colloids (micelles), preparation and properties of colloids — Tyndall effect, Brownian movement, electrophoresis, dialysis, coagulation and flocculation; Emulsions and their characteristics.
SECTION – B
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-Position of hydrogen in periodic table, isotopes, preparation, properties and uses of hydrogen; Physical and chemical properties of water and heavy water; Structure, preparation, reactions and uses of hydrogen peroxide; Hydrogen as a fuel.
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
Group — 13-Preparation, properties and uses of boron and aluminium; properties of boric acid, diborane, boron trifluoride, aluminium chloride and alums.
Group — 14-Allotropes of carbon, tendency for catenation; Structure & properties of silicates, and zeolites.
Group — 15-Properties and uses of nitrogen and phosphorus; Allotrophic forms of phosphorus; Preparation, properties, structure and uses of ammonia, nitric acid, phosphine and phosphorus halides, (PCl3, PCl5); Structures of oxides and oxoacids of phosphorus.
Group — 16-Preparation, properties, structures and uses of ozone; Allotropic forms of sulphur; Preparation properties, structures and uses of sulphuric acid (including its industrial preparation); Structures of
oxoacids of sulphur.
Group — 17-Preparation, properties and uses of hydrochloric acid; Trends in the acidic nature of hydrogen halides;Structures of Interhalogen compounds and oxides and oxoacids of halogens.
Group —18-Occurrence and uses of noble gases; Structures of fluorides and oxides of xenon.
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-Introduction to co-ordination compounds, Werner's theory; ligands, co-ordination number, denticity,chelation; IUPAC nomenclature of mononuclear co-ordination compounds, isomerism; Bonding-Valence bond approach and basic ideas of Crystal field theory, colour and magnetic properties; Importance of coordination compounds (in qualitative analysis, extraction of metals and in biological systems).
Unit 18: Environmental Chemistry-Environmental pollution — Atmospheric, water and soil.Atmospheric pollution — Tropospheric and StratosphericTropospheric pollutants — Gaseous pollutants: Oxides of carbon, nitrogen and sulphur, hydrocarbons; their sources, harmful effects and prevention; Green house effect and Global warming; Acid rain; Particulate pollutants: Smoke, dust, smog, fumes, mist; their sources, harmful effects and prevention.Stratospheric pollution- Formation and breakdown of ozone, depletion of ozone layer — its mechanism and effects.
Water Pollution — Major pollutants such as, pathogens, organic wastes and chemical pollutants; their harmful effects and prevention.
Soil pollution — Major pollutants such as: Pesticides (insecticides, herbicides and fungicides), their harmful effects and prevention. Strategies to control environmental pollution.
Unit 19: Purification and Characterization 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 organiccompounds 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).Covalent bond fission — Homolytic and heterolytic: free radicals, carbocations and carbanions; stabilityof carbocations and free radicals, electrophiles and nucleophiles.Electronic displacement in a covalent bond — Inductive effect, electromeric effect, resonance andhyperconjugation.
Unit 21: Hydrocarbons-Classification, isomerism, IUPAC nomenclature, general methods of preparation, properties and reactions.Alkanes — Conformations: Sawhorse and Newman projections (of ethane); Mechanism of halogenation of alkanes.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: Identification of primary, secondary and tertiary alcohols; mechanism of dehydration.Phenols: Acidic nature, electrophilic substitution reactions: halogenation, nitration and sulphonation, Reimer — Tiemann reaction. Ethers: Structure. Aldehyde and Ketones: Nature of carbonyl group; Nucleophilic addition to >C=O group, relative reactivities of aldehydes and ketones; Important reactions such as — Nucleophilic addition reactions (addition of HCN, NH3 and its derivatives), Grignard reagent; oxidation; reduction (Wolff Kishner and Clemmensen); acidity of hydrogen, aldol condensation, Cannizzaro reaction, Haloform reaction; Chemical tests to distinguish between aldehydes and Ketones.carboxylic acids-Acidic strength and factors affecting it.
Unit 24: Organic Compounds Containing Nitrogen-General methods of preparation, properties, reactions and uses. Amines: Nomenclature, classification, structure, basic character and identification of primary, secondary and tertiary amines and their basic character. Diazonium Salts: Importance in synthetic organic chemistry.
Unit 25: 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 — polythene, nylon, polyester and bakelite.
Unit 26: Biomolecules-General introduction and importance of biomolecules. Carbohydrates — Classification: aldoses and ketoses; monosaccharides (glucose and fructose) and constituent monosaccharides of oligosacchorides (sucrose, lactose and maltose).PROTEINS — Elementary Idea of r — amino acids, peptide bond, polypeptides; Proteins: primary, secondary, tertiary and quaternary structure (qualitative idea only), denaturation of proteins, enzymes.VITAMINS — Classification and functions.NUCLEIC ACIDS — Chemical constitution of DNA and RNA. Biological functions of nucleic acids.
Unit 27: Chemistry in Everyday LifeChemicals 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 oraganic compounds.Chemistry involved in the preparation of the following: Inorganic compounds: Mohr's salt, potash alum.Organic compounds: Acetanilide, pnitroacetanilide, aniline yellow, iodoform.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:
Que 1:-Two Faraday of electricity is passed through a solution of CuSO4.The mass of copper deposited at the cathode is(atomic mass of Cu=63.5 amu)
Que 2:- The synthesis of alkyl fluorides is accompalished by:-
(d)Free Radical Fluorination
Que 3:- Which of the vitamins given below is water soluble?7
Que 4:-The intermolecular interaction that is dependent on the inverse cube of distance between the molecule is
Que 5:-Which one has the highest boiling point?
The syllabus contains two Sections — A and B. Section — A pertains to the Theory Part having 80% weightage, while Section — B contains Practical Component (Experimental Skills) having 20% weightage.First lets have a look on weightage given to different topics:-
Section — A
Unit 1: Physics and Measurement
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.
Unit 2: Kinematics
Frame of reference. Motion in a straight line: Position-time graph, speed and velocity. Uniform and nonuniform 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.
Unit 3: 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 applications,Equilibrium of concurrent forces. 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 nonconservative forces; Elastic and inelastic collisions in one and two dimensions.
Unit 5: Rotational Motion
Centre of mass of a two-particle system, Centre of mass of a rigid body; Basic concepts of rotational motion; moment 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.
Unit 6: 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. Orbital velocity of a satellite. Geo-stationary satellites.
Unit 7: Properties of Solids and Liquids-Elastic behaviour, 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.
Unit 8: Thermodynamics
Thermal equilibrium, zeroth law of thermodynamics, concept of temperature. Heat, work and internal energy. First law of thermodynamics. Second law of thermodynamics: reversible and irreversible processes. Carnot engine and its efficiency.
Unit 9: Kinetic Theory of Gases
Equation of state of a perfect gas, work doneon compressing a gas.Kinetic theory of gases —assumptions, 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.
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 ts 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.
Unit 12: 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.
Unit 13: Magnetic Effects of Current and Magnetism
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 currentcarrying 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 ferromagnetic substances.Magnetic susceptibility and permeability, Hysteresis, Electromagnets and permanent magnets.
Unit 14: Electromagnetic Induction and Alternating Currents
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, wattless current. AC generator and transformer.
Unit 15: Electromagnetic Waves
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.
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 magnifyingpowers.
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.
Unit 17: Dual Nature Of Matter Andradiation
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.
Unit 18: Atoms and Nuclei
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.
Unit 19: Electronic Devices
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 voltageregulator. 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.
Unit 20: Communication Systems
Propagation of electromagnetic waves in the atmosphere; Sky and space wave propagation, Need for modulation, Amplitude and Frequency Modulation, Bandwidth of signals, Bandwidth of Transmission medium, Basic Elements of a Communication System (Block Diagram only).
Section — B
Unit 21: Experimental Skills
Familiarity with the basic approach and observations of the experiments and activities:
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.
Resistivity of the material of a given wire using metre bridge.
Resistance of a given wire using Ohm's law.
(i) Comparison of emf of two primary cells.
(ii) Determination of internal resistance of a cell.
Resistance and figure of merit of a galvanometer by half deflection method.
Focal length of: (a)Convex mirror (b)Concave mirror, and (c)Convex lens using parallax method.
(1)Identify base of a transistor
(1.1)Distinguish between npn and pnp type transistor
(1.2)See the unidirectional flow of current in case of a diode and an LED.
(1.3)Check the correctness or otherwise of a given electronic component (diode, transistor or IC)
You can have look on some sample questions mentioned below to get a vague idea about the type of the questions
Que 1:-As an electron makes a transition from an excited state to the ground state of a hydrogen like atom/ion:
(a)Kinetic Energy, Potential Energy and Total Energy will decrease
(b)Kinetic Energy decreases ,potential Energy increases but total energy remains same
(c)Kinetic Enegy and total energy decreases but potential energy increases
(d)its Kinetic energy increases but potential and total energy decreases
Que 2:- A signal of 5 KHz frequency is amplitude modulated on a carrier wave frequency of 2 MHz. The frequencies of resultant signal is
(a)2005 kHz and 1995 kHz
(b)2000 kHz and 1995 kHz
(c)2005 kHz,2000 kHz and 1995 kHz
Que 3:- An inductor (L=0.03 H) and a Resistor(R=0.15 kΩ) are connected in a series to a battery of 15 V EMF in a circuit shown. The key K1 has been kept closed for a long time .Then at t=0 ,K1 is opened and K2 is closed simultaneously .At t=1 ms the current in the circuit will be
Que 4:-A red LED emits light at 0.1 watt uniformly around it. The amplitude of the electric field of the light at a distance of 1 m from the diode is
Que 5:-A long cylindrical shell carries positive surface charge – in the upper half and a negative surface charge is - in the lower half. The electric field lines around the cylinder will look like figure given in
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