## Tag Archives: JEE Main Mock Test

## JEE Main 2015 Exam Centre Uttar Pradesh

Uttar Pradesh JEE Main Exam Centre | |||

Code | City | Mode of Exam | |

330 | Agra | Pen & Paper Based | Computer based |

331 | Aligarh | Computer based | |

332 | Allahabad | Computer based | |

333 | Banda | Computer based | |

334 | Bareilly | Pen & Paper Based | Computer based |

335 | Bulandshahar | Computer based | |

336 | Faizabad | Computer based | |

337 | Ghaziabad | Computer based | |

338 | Gorakhpur | Pen & Paper Based | Computer based |

339 | Greater Noida | Computer based | |

340 | Jhansi | Pen & Paper Based | Computer based |

341 | Kanpur | Pen & Paper Based | Computer based |

342 | Lucknow | Pen & Paper Based | Computer based |

343 | Mathura | Computer based | |

344 | Meerut | Computer based | |

345 | Moradabad | Computer based | |

346 | Muzaffarnagar | Computer based | |

347 | Sitapur | Computer based | |

348 | Sultanpur | Computer based | |

349 | Varanasi | Pen & Paper Based | Computer based |

## JEE Main 2015 Syllabus for Mathematics

**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:

dy+ p (x) y = q (x)

dx

**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 betweentwo 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:**

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

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## JEE Main 2015 Syllabus for Chemistry

**SECTION: A**

**PHYSICAL CHEMISTRY**

**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.

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.

LiquidState:

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

SolidState:

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.

**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 r for 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:Valencebond 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;

Enthalpies of bond dissociation, combustion, 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 non-ideal 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.

Equilibria involving physical processes: Solid -liquid, liquid – gas and solid – gas

equilibria, Henry’s law, general characterics of equilibrium involving physical processes.

Equilibria involving chemical processes: Law of chemical equilibrium, equilibrium constants (Kp and Kc) and their significance, significance of DG and DGo in chemical equilibria, 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 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.

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**

**INORGANIC CHEMISTRY**

**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, coordination 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 co-ordination 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 Stratospheric

Tropospheric 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.

**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 – , – Ch 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; stability of carbocations and free radicals, electrophiles and nucleophiles.

Electronic displacement in a covalent bond

- Inductive effect, electromeric effect, resonance and hyperconjugation.

**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 monosubstituted 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*

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 ı – 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 ı – 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 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.

• 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:

1. Enthalpy of solution of CuSO4

2. Enthalpy of neutralization of strong acid and strong base.

3. Preparation of lyophilic and lyophobic sols.

4. Kinetic study of reaction of iodide ion with hydrogen peroxide at room temperature.

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## JEE Main 2015 Syllabus for Physics

The** JEE Main 2015 Syllabus for Physics **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.

**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 non-uniform motion, average speed and instantaneous velocity Uniformly accelerated motion, velocity-time, position-time graphs, relations for uniformly accelerated motion. Scalars and Vectors, Vector addition and Subtraction, Zero Vector, Scalar and Vector products, Unit Vector, Resolution of a Vector. Relative Velocity, Motion in a plane, Projectile Motion, Uniform Circular Motion.

**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, workenergy 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**

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 transferconduction, 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 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.

**UNIT 12: CURRRENT 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 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.

**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 AND RADIATION**

Dual nature of radiation. Photoelectric ef fect , Hertz and Lenard’s observat ions; Einstein’s photoelectric equation; part icle nature of light . Matter waves-wave nature of part icle, 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 voltage regulator. Junction transistor, transistor action, characteristics of a transistor; transistor as an amplifier (common emitter configuration) and oscillator. Logic gates (OR, AND, NOT, NAND and NOR). Transistor as a switch.

**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:

1. Vernier callipers-its use to measure internal and external diameter and depth of a vessel.

2. Screw gauge-its use to determine thickness/diameter of thin sheet/wire.

3. Simple Pendulum-dissipation of energy by plotting a graph between square of amplitude and time.

4. Metre Scale – mass of a given object by principle of moments.

5. Young’s modulus of elasticity of the material of a metallic wire.

6. Surface tension of water by capillary rise and effect of detergents.

7. Co-efficient of Viscosity of a given viscous liquid by measuring terminal velocity of a given spherical body.

8. Plotting a cooling curve for the relationship between the temperature of a hot body and time.

9. Speed of sound in air at room temperature using a resonance tube.

10. Specific heat capacity of a given (i) solid and (ii) liquid by method of mixtures.

11. Resistivity of the material of a given wire using metre bridge.

12. Resistance of a given wire using Ohm’s law.

13. Potentiometer –

(i) Comparison of emf of two primary cells.

(ii) Determination of internal resistance of a cell.

14. Resistance and figure of merit of a galvanometer by half deflection method.

15. Focal length of:

(i) Convex mirror

(ii) Concave mirror, and

(iii) Convex lens

using parallax method.

16. Plot of angle of deviation vs angle of incidence for a triangular prism.

17. Refractive index of a glass slab using a travelling microscope.

18. Characteristic curves of a p-n junction diode in forward and reverse bias.

19. Characteristic curves of a Zener diode and finding reverse break down voltage.

20. Characteristic curves of a transistor and finding current gain and voltage gain.

21. Identification of Diode, LED, Transistor, IC, Resistor, Capacitor from mixed collection of such items.

22. Using multimeter to:

(i) Identify base of a transistor

(ii) Distinguish between npn and pnp type transistor

(iii) See the unidirectional flow of current in case of a diode and an LED.

(iv) Check the correctness or otherwise of a given electronic component (diode, transistor or IC).

**Back to JEE Main 2015 Syllabus**

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## JEE Main 2015 Syllabus

**JEE Main 2015 Syllabus** covers three subjects for paper 1 (B.Tech Engineering programmes) : Physics, Chemistry and Mathematics. Each of the syllabus subjects are discussed here under. The syllabus for JEE Main 2015 is CBSE 10+2 pattern syllabus prescribed for both class 11 and 12 students. A detailed contents of the syllabus can be found in the following linked pages:

JEE Main 2015 Syllabus for Physics

JEE Main 2015 Syllabus for Chemistry

JEE Main 2015 Syllabus for Mathematics

JEE Main 2015 Links:-

JEE Main 2015 Application Form

Tags: Admit card for JEE Main, JEE Main, JEE Main 2014 CD / DVD, JEE Main 2015 Books, JEE Main 2015 Date, JEE Main 2015 Exam Date, JEE Main 2015 News, JEE Main 2015 Pattern, JEE Main 2015 Syllabus, jee main application form, JEE Main entrance examination, JEE Main Mock Test, jee main practice paper, JEE Main Sample Paper, Syllabus of JEE Main 2015## JEE Main 2015

JEE Main 2015 will be conducted by CBSE during the month of April 2015 both in online as well as offline mode. Students completing 10+2 during the year 2015 are eligible to appear the test. This all India entrance test is the admission criteria for all National Institute of Technology (NITs) in India, IIITs and other Centrally Funded Institutions in India. Apart from this many States have already declared to adopt JEE Main score for finalizing admissions in Engineering colleges in that state both under Govt management as well as private management. The most crucial point about the exam is that only top 1.5 Lakhs candidates of JEE main 2015 shall be eligible to appear JEE Advanced Examination 2015 which is the qualifying examination for admissions into most prestigious IITs (Indian Institute of Technology) in India. Considering these admission rules for engineering career in India JEE Main 2015 will be the most preferred examination for engineering career. Entranceindia has been providing best model papers for JEE Main since 2013 and since then we find many question match from our model papers. Our experts analyses the question paper every year to set best probable sets of model papers and students get an opportunity to practice many exam pattern questions which are likely to come in the real examination.

JEE Main 2015 Achiever’s Plan (Online Mode)

JEE Main 2015 Achiever’s Plan (3 DVDs)

JEE Main 2015 updates will be available by November 2014.

JEE Main 2015 Application Form

JEE Main 2015 Rank List

JEE Main 2015 Model Test Papers

JEE Main 2015 Sample Papers

JEE Main 2015 Helpline Numbers

JEE Main Past Exam Questions Download

Tags: JEE Main, jee main admit card, JEE MAIN Colleges, JEE MAIN DVD, JEE Main Eligibility, JEE Main exam centre online, jee main exam date, JEE Main Information Bulletin, jee main instructions, JEE Main Merit List, JEE Main Mock Test, jee main model paper, JEE Main Model Question Paper, JEE Main Model Test, JEE main normalization process, jee main online, jee main online application form, jee main online exam, JEE Main Online Practice Test, JEE Main Past Papers, JEE Main Pattern, jee main practice paper, JEE Main Question Paper, JEE Main Sample Question Paper, JEE Main Syllabus## JEE Main 2014 Application Format

Application Format | |

Examination Details JEE (Main) – 2014 | |

Applying for | JEE (Main) Paper – 1(B.E. / B. Tech.) Only JEE (Main) Paper – 2 (B. Arch. / B. Planning) Only JEE (Main) Paper – 1 & Paper –2 Both |

Mode of Examination | Pen and Paper Based ExaminationComputer Based Examination |

Choice of Examination Centre (any four) | As per list of Examination cities |

Question Paper Medium | English / Hindi / Gujarati / Marathi / Urdu |

Personal Details | |

Candidate’s Name | Maximum 46 Character |

Mother’s Name | Maximum 46 Character |

Father’s Name | Maximum 46 Character |

State of Eligibility | State from where the candidate has passed/appearing in qualifying examination |

Category | General/ SC/ ST/ OBC – NCL(Central List) State list OBC Candidates who are not in OBC – NCL central list must choose General. State admission boardsshall verify State OBC list separately. |

Person with Disability (PwD) | Yes/ No |

If PwD, mention the percentage of disability? | |

Whether you need scribe/reader | Yes/ No |

Date of Birth (DD/MM/YYYY) | |

Gender | Male / Female |

In case of girl candidate, Are youthe only child of your parents? | Yes/ No |

Nationality | Indian / OCI/PIO/ Foreign – Other than OCI,PIO (Foreign candidates are not eligible for admission to NITs, IIITs, CFTIs through JEE (Main) Channel) |

Place of Residence | Rural / Urban |

Complete Mailing Address | |

Pin code of mailing address | |

Unique Identification Number (UID)/ Aadhaar Number (if available) | |

Academic Details | |

Year of Passing Class 10th or its Equivalent | 1999-2012 |

Place of 12th class schooling | Village / Town / City |

Year of Passing or Appearing Class 12th/Qualifying Examination | 2012 / 2013 / 2014 |

School Board of Class 12th / Qualifying Examination | As per list of Boards |

Name of the Qualifying Examination passed / appearing | |

Type of Institution of Class 12th / Qualifying Examination | Government / Private |

Percentage of Marks obtained in Class 12th / Qualifying Examination (if passed) | As per Marks Statement |

Roll Number of Class 12th / Qualifying Examination (if allotted) | |

Appearing for Improvement of Class 12th/ Qualifying Examination | Y/N |

Mode of Preparation | Self Study / Individual Tuition / Coaching/ Correspondence Courses/ Others |

Name & Address of the School /College from where passed / appearing | |

Contact Details | |

Email Address | |

Mobile No. | |

Land line no. with STD code or any other contact no. | |

Guardian Details | |

Father’s Qualification | Illiterate / Matriculate / Graduate / Post Graduate / Others |

Father’s Occupation | Agriculture/ / Business/ Medical/ Engineering /Law Practice /Government Service/ Public Sector Service/ Private Service/ Teaching or Research/ Architecture/ Pharmacy/ Self Employment/ Others (including House wife) |

Father’s Annual Income | Up to 100000 /Rs. 100001 -200000 /Rs. 200001 – 300000 /Rs. 300001 -400000 / Rs. 400001 -500000 /Rs. 500001-600000 /Rs. 600001-700000 /Rs. 700001-800000 /Rs. 800001 and above |

Mother’s Qualification | Illiterate / Matriculate / Graduate / Post Graduate / Others |

Mother’s Occupation | Agriculture/ / Business/ Medical/ Engineering /Law Practice/ Government Service/ Public Sector Service/ Private Service/ Teaching or Research/ Architecture/ Pharmacy/ Self Employment/ Others (including House wife) |

Mother’s Annual Income | Up to 100000 /Rs. 100001 -200000 /Rs. 200001 – 300000 /Rs. 300001 – 400000 / Rs. 400001 -500000 /Rs. 500001-600000 /Rs.600001-700000/Rs.700001- 800000 / Rs.800001 and above |

Declaration by the candidate | I hereby declare that all the particulars stated in this application form are true to the best of my knowledge and belief. I have read and understood the JEE procedures for both JEE (Main)and JEE (Advanced) – 2014. I shall abide by the terms and conditions thereon. |

To be uploaded during the submission of online application form

File Format | File Size | Dimension | |

Photograph of Candidate | JPEG format | 4KB to 100KB | 3.5cm x 4.5cm |

Signature of Candidate | JPEG format | 1KB to 30KB | 3.5cm x 1.5cm |

Thumb impression of Candidate | JPEG format | 1KB to 30KB | 3.5cm x 1.5cm |

Tags: JEE Main, JEE Main 2014 CD / DVD, jee main exam form, JEE Main Mock Test, JEE Main News, jee main online application form, JEE Main Online Test, JEE Main Preparation, JEE Main Question Paper, jee main sample test, JEE Main Website

## JEE Main 2014 Schedule of Examination

A. Offline examination (Pen and Paper Based Examination) for Paper 1 (B. E. /B. Tech.) and Paper 2 (B. Arch./B. Planning.) | ||||

Date of Examination | Paper | Subjects | Timings | Duration |

06.04.2014 | Paper 1 (B.E./ B. Tech.) | Physics, Chemistry & Mathematics | 0930-1230 Hours(IST) | 3 Hours |

06.04.2014 | Paper 2 (B. Arch. / B. Planning.) | Mathematics – Part I Aptitude Test – Part II & Drawing Test – Part III | 1400-1700 Hours(IST) | 3 Hours |

B. Online examination (Computer Based Examination) for Paper 1 (B. E./B. Tech.) Only | ||||

Dates of Examination* | Paper | Subjects | Timings | Duration |

09.04.2014 11.04.2014 12.04.2014 19.04.2014 | Paper 1 (B. E./B. Tech.) | Physics, Chemistry & Mathematics | 1st shift 0930-1230 Hours (IST) 2nd shift (**) 1400-1700 Hours (IST) **If required | 3 Hours |

- *The option of date for Computer Based Examination for Paper – 1 should be exercised while filling up the application form.
- The allotment of slots/dates will be on first come first served basis.
- If a candidate does not make any selection, he/she shall be randomly assigned a slot/date as per the availability of the same.
- The Computer Based Examination for Paper – 1 in Colombo, Kathmandu, Singapore, Bahrain, Dubai, Muscat and Riyadh will be held only on 19/04/2014.
- In case a candidate, by furnishing the false information, appears in more than one slots/dates of the computer based examination or appears in both the modes of examination i.e. pen & paper based and computer based examination, his candidature will be cancelled and his result will not be declared.

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## JEE MAIN Online Test Series (2013)

JEE MAIN Test is the national level Under Graduate Engineering Entrance Test conducted for the first time in India. JEE MAIN 2013 is also the entry level exam for IIT JEE (JEE Advanced 2013). Students need to score within top 1,50,000 candidates to appear the JEE Advanced Exam 2013. JEE MAIN 2013 has replaced the earlier famous AIEEE Test. The test shall be conducted both online mode and pen and paper based. Admission into NITs IIITs and other Centrally Funded Institutions shall be based on JEE MAIN Score as well as Board marks obtained by the candidates. Hence, it is highly important for a student to achieve good score for building his / her engineering career. Entranceindia has released 15+1 Model Papers and Practice DVDs for JEE MAIN 2013 candidates. Students can avail these Online Test Series by logging into the system after payment of desired course fee ranging from Rs.450/- to 950/-. Each Model Test Paper contains 90 questions from subjects Physics, Chemistry and Mathematics. Students can attempt the mock paper test and review their answers with detailed solution till 2nd June 2013 the JEE Advanced Exam.

### Practice Tests:

### Test DVD:

**Related Links to JEE Main :**

- JEE Main Home
- JEE Main 2014 Syllabus
- JEE Main 2014 Exam Pattern
- JEE Main 2014 Exam Date
- JEE Main 2014 Exam Centres

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## JEE Main 2013 Online Practice Test

Worried for JEE Main 2013 Preparation?

Your preparation could be more meaningful with lots of practice questions on the JEE MAIN 2013 Syllabus. You can choose to practice similar pattern questions as expected in JEE MAIN 2013 Examination. Entranceindia brought detailed Practice Papers for JEE Main 2013 candidates. Our Practice Papers can be practised online and cover JEE Main Pattern Questions from the whole syllabus prescribed for the examination. Click the below links to know more about our Online Practice Tests.

**JEE Main 2013 Online Practice Papers (15+1 Sets)**

**JEE Main 2013 Online Practice Papers (10+1 Sets)**

**JEE MAIN 2013 Online Practice Papers (5+1 Sets)**

**JEE Main 2013 Sample Practice Test (Free for registered users)**

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