AP EAMCET – 2016 PHYSICS SYLLABUS

PHYSICS

1. PHYSICAL WORLD:

What is physics?, Scope and excitement of Physics, Physics, technology and society, Fundamental forces in nature, Gravitational Force, Electromagnetic Force, Strong Nuclear Force, Weak Nuclear Force, Towards Unification of Forces, Nature of physical laws.

2. UNITS AND MEASUREMENTS:

Introduction, The international system of units, Measurement of Length, Measurement of Large Distances, Estimation of Very Small Distances, Size of a Molecule, Range of Lengths, Measurement of Mass, Range of Masses, Measurement of time, Accuracy, precision of instruments and errors in measurement, Systematic errors, random errors, least count error, Absolute Error, Relative Error and Percentage Error, Combination of Errors, Significant figures, Rules for Arithmetic Operations with Significant Figures, Rounding off the Uncertain Digits, Rules for Determining the Uncertainty in the Results of Arithmetic Calculations, Dimensions of  Physical Quantities, Dimensional Formulae and dimensional equations, Dimensional Analysis and its Applications, Checking the Dimensional Consistency of Equations, Deducing Relation among the Physical Quantities.

3. MOTION IN A STRAIGHT LINE:

Introduction, position, path length and displacement, average velocity and average speed, instantaneous velocity and speed, acceleration, kinematic equations for uniformly accelerated motion, relative velocity.

4. MOTION IN A PLANE:

Introduction, scalars and vectors, position and displacement vectors, equality of vectors, multiplication of vectors by real numbers, addition and subtraction of vectors – graphical method, resolution of vectors, vector addition – analytical method, motion in a plane, position vector and displacement, velocity, acceleration, motion in a plane with constant acceleration, relative velocity in two dimensions, projectile motion, equation of path of a projectile, time of maximum height, maximum height of a projectile, horizontal range of projectile, uniform circular motion.

5. LAWS OF MOTION:

Introduction, Aristotle’s fallacy, The law of inertia, Newton’s first law of motion, Newton’s second law of motion, momentum, Newton’s third law of motion, Impulse, Conservation of momentum, Equilibrium of a particle, Common forces in mechanics, friction, types of friction, Circular motion, Motion of a car on a level road, Motion of a car on a banked road, solving problems in mechanics.

6. WORK, ENERGY AND POWER:

Introduction, The Scalar Product, Notions of work and kinetic energy, The workenergy theorem, Work, Kinetic energy, Work done by a variable force, The work-energy theorem for a variable force, The concept of Potential Energy, The conservation of Mechanical Energy, The Potential Energy of a spring, Various forms of energy, the law of conservation of energy, Heat, Chemical Energy, Electrical Energy, The Equivalence of Mass and Energy, Nuclear Energy, The Principle of Conservation of Energy, Power, Collisions, Elastic and Inelastic Collisions, Collisions in one dimension, Coefficent of Restitution and its determination, Collisions in Two Dimensions.

7. SYSTEMS OF PARTICLES AND ROTATIONAL MOTION:

Introduction, What kind of motion can a rigid body have?, Centre of mass, Centre of Gravity, Motion of centre of mass, Linear momentum of a system of particles, Vector product of two vectors, Angular velocity and its relation with linear velocity, Angular acceleration, Kinematics of rotational motion about a fixed axis, Torque and angular momentum, Moment of force (Torque), Angular momentum of particle, Torque and angular momentum for a system of a particles, conservation of angular momentum, Equilibrium of a rigid body, Principle of moments, Moment of inertia, Theorems of perpendicular and parallel axes, Dynamics of rotational motion about a fixed axis, Angular momentum in case of rotations about a fixed axis, Conservation of Angular Momentum, Rolling motion, Kinetic Energy of Rolling Motion.

8. OSCILLATIONS:

Introduction, Periodic and oscillatory motions, Period and frequency, Displacement, Simple harmonic motion (S.H.M.), Simple harmonic motion and uniform circular motion, Velocity and acceleration in simple harmonic motion, Force law for Simple harmonic Motion, Energy in simple harmonic motion, Some systems executing Simple Harmonic Motion, Oscillations due to a spring, The Simple Pendulum, Damped simple harmonic motion, Forced oscillations and resonance.

9. GRAVITATION:

Introduction, Kepler’s laws, Universal law of gravitation, The gravitational constant, Acceleration due to gravity of the earth, Acceleration due to gravity below and above the surface of earth, Gravitational potential energy, Escape speed, Orbital Speed, Earth satellite, Energy of an orbiting satellite, Geostationary and polar satellites, Weightlessness.

10. MECHANICAL PROPERTIES OF SOLIDS:

Introduction, Elastic behaviour of solids, Stress and strain, Hooke’s law, Stress-strain curve, Elastic moduli, Young’s Modulus, Determination of Young’s Modulus of the Material of a Wire, Shear Modulus, Bulk Modulus, Poisson’s Ratio, Elastic Potential Energy in a Stretched wire, Applications of elastic behaviour of materials.

11. MECHANICAL PROPERTIES OF FLUIDS:

Introduction, Pressure, Pascal’s Law, Variation of Pressure with Depth, Atmosphere Pressure and Gauge Pressure, Hydraulic Machines, Archimedes’s Principle, Streamline flow, Bernoulli’s principle, Speed of Efflux, Torricelli’s Law, Venturi-meter, Blood Flow and Heart Attack, Dynamic Lift, Viscosity, Variation of Viscocity of fluids with temperature, Stokes’ Law, Reynolds number, Critical Velocity, Surface tension, Surface Energy, Angle of Contact, Drops and Bubbles, Capillary Rise, Detergents and Surface Tension.

12. THERMAL PROPERTIES OF MATTER:

Introduction, Temperature and heat, Measurement of temperature, Ideal-gas equation and absolute temperature, Thermal expansion, Specific heat capacity, Calorimetry, Change of state, Triple Point, Regelation, Latent Heat, Heat transfer, Conduction, Convection, Radiation, Black body Radiation, Greenhouse Effect, Newton’s law of cooling and its experimental verification.

13. THERMODYNAMICS:

Introduction, Thermal equilibrium, Zeroth law of thermodynamics, Heat, Internal Energy and work, First law of thermodynamics, Specific heat capacity, Specific heat capacity of water, Thermodynamic state variables and equation of State, Thermodynamic processes, Quasi-static process, Isothermal Process, Adiabatic Process, Isochoric Process, Isobaric process, Cyclic process, Heat engines, Refrigerators and heat pumps, Second law of thermodynamics, Reversible and irreversible processes, Carnot engine, Carnot’s theorem.

14. KINETIC THEORY:

Introduction, Molecular nature of matter, Behaviour of gases, Boyle’s Law, Charles’ Law, Kinetic theory of an ideal gas, Pressure of an Ideal Gas, Kinetic interpretation of temperature, Law of equipartition of energy, Specific heat capacity, Monatomic Gases, Diatomic Gases, Polyatomic Gases, Specific Heat Capacity of Solids, Specific Heat Capacity of Water, Mean free path.

15. WAVES:

Introduction, transverse and longitudinal waves, displacement relation in a progressive wave, amplitude and phase, wavelength and angular wave number, period, angular frequency and frequency, the speed of a travelling wave, speed of a transverse wave on stretched string, speed of a longitudinal wave (speed of sound) the principle of superposition of waves, reflection of waves, standing waves and normal modes, beats, Doppler effect: source moving, observer stationery, observer moving, source stationery, both source and observer moving.

16. RAY OPTICS AND OPTICAL INSTRUCTIONS:

Introduction, reflection of light by spherical mirrors, sign convention, focal length of spherical mirrors, the mirror equation, refraction, total internal reflection, total internal reflection in nature and its technological applications, refraction at spherical surfaces and by lenses, power of a lens, combination of thin lenses in contact, refraction through a prism, dispersion by a prism, some natural phenomena due to sunlight, the rainbow, scattering of light, optical instructions, the eye, the simple and the compound microscope, refracting and Cassegrain reflection telescope.

17. WAVE OPTICS:

Introduction, Huygens principle, refraction and reflection of plane waves using Huygens principle, refraction in a rarer medium (at the denser medium boundary), reflection of plane wave by a plane surface, the Doppler effect, coherent and incoherent addition of waves, interference of light waves and Young ‘s experiment, diffraction, the single slit diffraction, resolving power of optical instruments, the validity of ray optics, polarisation by  cattering, polarisation by reflection.

18. ELECTRIC CHARGES AND FIELDS:

Introduction, electric charge, conductors and insulators, charging by induction, basic properties of electric charges, Coulomb’s law, forces between multiple charges, electric field, electric field due to a system of charges, physical significance of electric field, electric field lines, electric flux, electric dipole, the field of an electric dipole for points on the axial line and on the equatorial plane, physical significance of dipoles, dipole in a uniform external field, continuous charge distribution, Gauss’s law, applications of Gauss’s law, field due to an infinitely long straight uniformly charged wire, field due to a uniformly charged infinite plane sheet, field due to a uniformly charged thin spherical shell.

19. ELECTROSTATIC POTENTIAL AND CAPACITANCE:

Introduction, electrostatic potential, potential due to a point charge, potential due to an electric dipole, potential due to a system of charges, equipotential surfaces, relation between field and potential, potential energy of a system of charges, potential energy in an external field, potential energy of a single charge, potential energy of a system of two charges in an external field, potential energy of a dipole in an external field, electrostatics of conductors, electrostatic shielding, dielectrics and polarisation, electric displacement, capacitors and capacitance, the parallel plate capacitor, effect of dielectric on capacitance, combination of capacitors, capacitors in series, capacitors in parallel, energy stored in a capacitor, Van de Graff generator.

20. CURRENT ELECTRICITY:

Introduction, electric current, electric current in conductors, Ohm’s law, drift of electrons and the origin of resistivity, mobility, limitations of Ohm’s law, resistivity of various materials, colour code of resistors, Temperature dependence of resistivity, electrical energy, power, combination of resistors – series and parallel.
Cells, EMF, internal resistance, cells in series and in parallel, Kirchhoff’s rules, Wheatstone Bridge, Meter Bridge,
Potentiometer.

21. MOVING CHARGES AND MAGNETISM:

Introduction, magnetic force, sources and fields, magnetic field, Lorentz force, magnetic force on a current carrying conductor, motion in a magnetic field, helical motion of charged particles, motion in combined electric and magnetic fields, velocity selector, Cyclotron, magnetic field due to a current element Biot – Savart’s law, Magnetic field on the axis of a circular current loop, Ampere’s circuital law, the solenoid and the toroid, force between two parallel current carrying conductors, the ampere (UNIT), torque on current loop, magnetic dipole, torque on a rectangular current loop in a uniform magnetic field, circular current loop as a magnetic dipole, the magnetic dipole moment of a revolving electron, the Moving Coil Galvanometer; conversion into ammeter and voltmeter.

22. MAGNETISM AND MATTER:

Introduction, the bar magnet, the magnetic field lines, bar magnet as an equivalent solenoid, The dipole in a uniform magnetic field, the electrostatic analog, Magnetism and Gauss’s Law, The Earth’s magnetism, magnetic declination and dip, magnetisation and magnetic intensity, susceptibility, Hysteresis loop, magnetic properties of materials; Diamagnetism, Paramagnetism, Ferromagnetism, permanent magnets and electromagnets.

23. ELECTROMAGNETIC INDUCTION:

Introduction, the experiments of Faraday and Henry, magnetic flux, Faraday’s Law of induction, Lenz’s law and conservation of energy, motional electromotive force, energy consideration, a quantitative study, Eddy currents, inductance, mutual inductance, self inductance, AC generator.

24. ALTERNATING CURRENT:

Introduction, AC voltage applied to a resistor, representation of AC current and voltage by rotating vectors – Phasors, AC voltage applied to an inductor, AC voltage applied to a capacitor, AC voltage applied to a series LCR circuit, Phasor – diagram solution, analytical solution, resonance, sharpness of resonance, power in AC circuit, the power factor, LC oscillations, transformers.

25. ELECTROMAGNETIC WAVES:

Introduction, displacement current, Maxwell’s equations, electromagnetic waves, sources of electromagnetic waves, nature of electromagnetic waves, electromagnetic spectrum: radio waves, microwaves, infrared waves, visible rays, ultraviolet rays, X-rays, gamma rays.

26. DUAL NATURE OF RADIATION AND MATTER:

Introduction, electron emission, Photoelectric Effect, Hertz’s observations, Hallwachs and Lenard’s observation, experimental study of photoelectric effect, effect of intensity of light on photocurrent, effect of potential on photoelectric current, effect of frequency of incident radiation on stopping potential, Photoelectric effect and Wave theory of Light, Einstein’s Photoelectric equation energy Quantum of Radiation, particle nature of light, the photon, wave nature of matter, photo cell, Davisson and Germer experiment.

27. ATOMS:

Introduction, Alpha particle scattering and Rutherford’s nucler model of atom, alpha- particle trajectory, electron orbits, atomic spectra, spectral series, Bohr model of the hydrogen atom, energy levels, the line spectra of the hydrogen atom, de Broglie’s explanation of Bohr’s second postulate of quantisation, LASER light.

28. NUCLEI:

Introduction, atomic masses and composition of nucleus, discovery of neutron, size of the nucleus, Mass – Energy and Nuclear Binding Energy, Nuclear Force, Radioactivity, Law of radioactive decay, Alpha decay, Beta decay, Gamma decay, Nuclear Energy, Fission, Nuclear reactor, nuclear fusion, energy generation in stars, controlled thermonuclear fusion.

29. SEMICONDUCTOR ELECTRONICS, MATERIALS, DEVICES AND SIMPLE CIRCUITS:

Introduction, classification of metals, conductors, and semiconductors on the basis of conductivity and energy bands, Band theory of solids, Intrinsic semiconductor, Extrinsic semiconductor, p-n junction formation, semiconductor diode, p-n junction diode under forward bias, p-n junction diode under reverse bias, Application of junction diode as a rectifier, special purpose p-n junction diodes, Zener diode, Zener diode as voltage regulator, Optoelectronic junction devices, Photo diode, light emitting diode, solar cells. Junction transistor, structure and action, Basic transistor circuit configurations and transistor characteristics, transistor as a switch and as an amplifier (CE – Configuration), Feedback amplifier and transistor oscillator, Digital Electronics and Logic gates, Integrated circuits.

30. COMMUNICATION SYSTEMS:

Introduction, elements of a Communication system, basic terminology used in electronic communication systems, bandwidth of signals, bandwidth of transmission medium, propagation of electromagnetic waves, ground waves, sky waves, space wave, modulation and its necessity, size of the antenna or aerial, effective power radiated by an antenna, mixing up of signals from different transmitters, amplitude modulation, production of amplitude modulated wave, detection of amplitude modulated wave.

AP EAMCET – 2016 MATHEMATICS SYLLABUS

MATHEMATICS 

1. ALGEBRA:

Functions: Types of functions – Definitions, Inverse functions and Theorems, Domain, Range, Inverse of real valued functions.
Mathematical Induction: Principle of Mathematical Induction & Theorems, Applications of Mathematical Induction, Problems on divisibility.
Matrices:Types of matrices, Scalar multiple of a matrix and multiplication of matrices, Transpose of a matrix, Determinants, Adjoint and Inverse of a matrix, Consistency and inconsistency of Equations- Rank of a matrix, Solution of simultaneous linear equations.
Complex Numbers: Complex number as an ordered pair of real numbers- fundamental operations – Representation of complex numbers in the form a+ib – Modulus and amplitude of complex numbers – Illustrations – Geometrical and Polar Representation of complex numbers in Argand plane- Argand diagram.
De Moivre’s Theorem: De Moivre’s theorem- Integral and Rational indices – nth roots of unity- Geometrical Interpretations – Illustrations.
Quadratic Expressions: Quadratic expressions, equations in one variable – Sign of quadratic expressions – Change in signs – Maximum and minimum values – Quadratic inequations.
Theory of Equations: The relation between the roots and coefficients in an equation – Solving the equations when two or more roots of it are connected by certain relation – Equation with real coefficients, occurrence of complex roots in conjugate pairs and its consequences – Transformation of equations – Reciprocal Equations.
Permutations and Combinations: Fundamental Principle of counting – linear and circular permutations – Permutations of ‘n’ dissimilar things taken ‘r’ at a time – Permutations when repetitions allowed – Circular permutations – Permutations with constraint repetitions – Combinations-definitions and certain theorems.
Binomial Theorem: Binomial theorem for positive integral index – Binomial theorem for rational Index (without proof) – Approximations using Binomial theorem.
Partial fractions: Partial fractions of f(x)/g(x) when g(x) contains non –repeated linear factors – Partial fractions of f(x)/g(x) when g(x) contains repeated and/or non-repeated linear factors – Partial fractions of f(x)/g(x) when g(x) contains irreducible factors.

2. TRIGONOMETRY:

Trigonometric Ratios, variations, Graphs and Periodicity of Trigonometric functions – Trigonometric ratios and Compound angles – Trigonometric ratios of multiple and sub- multiple angles – Transformations – Sum and Product rules.
Trigonometric Equations: General Solution of Trigonometric Equations – Simple Trigonometric Equations –
Solutions.
Inverse Trigonometric Functions: To reduce a Trigonometric Function into a bijection – Graphs of Inverse Trigonometric Functions – Properties of Inverse Trigonometric Functions.
Hyperbolic Functions: Definition of Hyperbolic Function – Graphs – Definition of Inverse Hyperbolic Functions – Graphs – Addition formulas of Hyperbolic Functions.
Properties of Triangles: Relation between sides and angles of a Triangle – Sine, Cosine, Tangent and Projection rules – Half angle formula and areas of a triangle – In-circle and Ex-circle of a Triangle.

3. VECTOR ALGEBRA:

Addition of Vectors : Vectors as a triad of real numbers – Classification of vectors – Addition of vectors – Scalar multiplication – Angle between two non zero vectors – Linear combination of vectors – Component of a vector in three dimensions – Vector equations of line and plane including their Cartesian equivalent forms.
Product of Vectors: Scalar Product – Geometrical Interpretations – orthogonal projections – Properties of dot product – Expression of dot product in i, j, k system – Angle between two vectors – Geometrical Vector methods – Vector equations of plane in normal form – Angle between two planes – Vector product of two vectors and properties – Vector product in i, j, k system – Vector Areas – Scalar Triple Product – Vector equations of plane in different forms, skew lines, shortest distance and their Cartesian equivalents. Plane through the line of intersection of two planes, condition for coplanarity of two lines, perpendicular distance of a point from a plane, Angle between line and a plane. Cartesian equivalents of all these results – Vector Triple Product – Results.

4. MEASURES OF DISPERSION:

Range – Mean deviation – Variance and standard deviation of ungrouped/grouped data – Coefficient of variation and analysis of frequency distribution with equal means but different variances.

5. PROBABILITY:

Random experiments and events – Classical definition of probability, Axiomatic approach and addition theorem of probability – Independent and dependent events conditional probability- multiplication theorem and Bayee’s theorem.
Random Variables and Probability Distributions – Random Variables – Theoretical discrete distributions – Binomial and Poisson Distributions.

6. COORDINATE GEOMETRY
Locus : Definition of locus – Illustrations – To find equations of locus – Problems connected to it.
Transformation of Axes : Transformation of axes – Rules, Derivations and Illustrations – Rotation of axes – Derivations – Illustrations.
The Straight Line: Revision of fundamental results – Straight line – Normal form – Illustrations – Straight line – Symmetric form – Straight line – Reduction into various forms – Intersection of two Straight Lines – Family of straight lines – Concurrent lines – Condition for Concurrent lines – Angle between two lines – Length of perpendicular from a point to a Line – Distance between two parallel lines – Concurrent lines – properties related to a triangle.
Pair of Straight lines: Equations of pair of lines passing through origin, angle between a pair of lines – condition for perpendicular and coincident lines – bisectors of angles – Pair of bisectors of angles – Pair of lines – second degree general equation – Conditions for parallel lines – distance between them, Point of intersection of pair of lines – Homogenizing a second degree equation with a first degree equation in X and Y.
Circle : Equation of circle -standard form-centre and radius of a circle with a given line segment as diameter & equation of circle through three non collinear points – parametric equations of a circle – Position of a point in the plane of a circle – power of a point-definition of tangent-length of tangent – Position of a straight line in the plane of a circle-conditions for a line to be tangent – chord joining two points on a circle – equation of the tangent at a point on the circle- point of contact-equation of normal – Chord of contact – pole and polarconjugate points and conjugate lines – equation of chord with given middle point – Relative position of two circles- circles touching each other externally, internally common tangents –centers of similitude- equation of pair of tangents from an external point.
System of circles: Angle between two intersecting circles – Radical axis of two circles- properties – Common chord and common tangent of two circles – radical centre – Intersection of a line and a Circle.
Parabola: Conic sections –Parabola- equation of parabola in standard form-different forms of parabolaparametric equations – Equations of tangent and normal at a point on the parabola (Cartesian and parametric) – conditions for straight line to be a tangent.
Ellipse: Equation of ellipse in standard form – Parametric equations Equation of tangent and normal at a point on the ellipse (Cartesian and parametric)- condition for a straight line to be a tangent.
Hyperbola: Equation of hyperbola in standard form- Parametric equations – Equations of tangent and normal at a point on the hyperbola (Cartesian and parametric)- conditions for a straight line to be a tangent- Asymptotes.
Three Dimensional Coordinates: Coordinates – Section formulas – Centroid of a triangle and tetrahedron.
Direction Cosines and Direction Ratios: Direction Cosines – Direction Ratios.
Plane : Cartesian equation of Plane – Simple Illustrations.

7. CALCULUS:

Limits and Continuity: Intervals and neighborhoods – Limits – Standard Limits – Continuity.
Differentiation: Derivative of a function – Elementary Properties – Trigonometric, Inverse Trigonometric, Hyperbolic, Inverse Hyperbolic Function – Derivatives – Methods of Differentiation – Second Order Derivatives.
Applications of Derivatives: Errors and approximations – Geometrical Interpretation of a derivative – Equations of tangents and normals – Lengths of tangent, normal, sub tangent and sub normal – Angles between two curves and condition for orthogonality of curves – Derivative as Rate of change – Rolle’s Theorem and Lagrange’s Mean value theorem without proofs and their geometrical interpretation – Increasing and decreasing functions – Maxima and Minima.
Integration: Integration as the inverse process of differentiation- Standard forms – properties of integrals – Method of substitution- integration of Algebraic, exponential, logarithmic, trigonometric and inverse trigonometric functions. Integration by parts – Integration- Partial fractions method – Reduction formulae.
Definite Integrals: Definite Integral as the limit of sum – Interpretation of Definite Integral as an area – Fundamental theorem of Integral Calculus – Properties – Reduction formulae – Application of Definite integral to areas.
Differential equations: Formation of differential equation-Degree and order of an ordinary differential equation
– Solving differential equation by – a) Variables separable method – b) Homogeneous differential equation – c)
Non – Homogeneous differential equation – d) Linear differential equations.

EAMCET Engineering 2014 Chemistry syllabus

I. ATOMIC STRUCTURE: Characteristics of electron, proton and neutron. Rutherford model of an atom. Nature of electromagnetic radiation. Planck’s  quantum theory. Explanation of photo electric effect. Dual behavior of electromagnetic radiation. Features of atomic spectra – Emission and absorption  spectra. Characteristics of hydrogen spectrum. Bohr’s theory of the structure of atom – Postulates. Bohr’s theory of hydrogen atom, Energy of an  electron. Bohr’s explanation of spectral lines. Failure of Bohr’s theory. Wave-particle nature of electron. De Broglie’s hypothesis, Heisenberg’s  uncertainty principle. Important features of the quantum mechanical model of an atom – Meaning and significance of wave function. Quantum numbers,  concept of orbitals, definition of atomic orbital in terms of quantum numbers – shapes of s, p and d orbitals, Aufbau principle, Pauli’s exclusion principle  and Hund’s rule of maximum multiplicity. Electronic configuration of atoms. Explanation of stability of half filled and completely filled orbitals.

II. CLASSIFICATION OF ELEMENTS AND PERIODICITY IN PROPERTIES: Concept of grouping the elements in accordance to their properties –  Mendeleef’s Periodic Table. Periodic law – Mendeleef’s classification of elements. Significance of atomic number and electronic configuration as the  basis for periodic classification. Classification of elements into s, p, d, f blocks and their main characteristics. Periodic trends in physical and chemical  properties of elements: Atomic radii, Ionic radii, Inert gas radii, Ionization energy, Electron gain energy, Electronegativity and Valency. Variation of  oxidation states, Electropositivity – Metallic and Non-metallic nature, Nature of Oxides, Diagonal relationship. Variation of atomic radii in inner transition  elements.

III. CHEMICAL BONDING AND MOLECULAR STRUCTURE: Kossel -Lewis approach to chemical bonding. Factors favorable for the formation of ionic  bond, energy changes in ionic bond formation. Crystal lattice energy – calculation of lattice energy – Born – Haber cycle. Crystal structure of sodium  chloride and Caesium chloride, Coordination number. Properties of ionic compounds. Covalent bond – VSEPR theory – Lewis representation of  covalent compounds, Formal charge, geometry of simple molecules. The valence bond approach for the formation of covalent bonds. Directional  properties of covalent bond. Properties of covalent bond. Hybridization – different types of hybridization involving s, p and d orbitals. Shapes of simple  covalent molecules. Definition of coordinate covalent bond with examples. Molecular orbital theory of homonuclear diatomic molecules. Symmetry and  energy of sigma and pi bonding and antibonding molecular orbitals. Molecular orbital energy diagram of H2 , N2
and O2 . Concept of hydrogen bond and  its types with examples. Effect of hydrogen bonding on properties of compounds.

IV. STOICHIOMETRY: Laws of chemical combination – Principles and examples. Molar mass, concept of equivalent weight with examples. Percentage  composition of compounds and calculation of empirical and molecular formulae of compounds. Chemical reactions and Stoichiometric equations.  Oxidation number concept. Balancing of redox reactions by ion electron method and oxidation number method. Types of redox reactions. Applications  of redox reactions in titrimetric quantitative analysis. Redox reactions and electrode processes.

V. STATES OF MATTER: GASES AND LIQUIDS: Graham’s law of diffusion, Dalton’s law of partial pressures, Avogadro’s law. Ideal behavior, empirical derivation of gas equation, ideal gas equation. Kinetic molecular theory of gases. Kinetic gas equation (No derivation) – deduction of gas laws.  Distribution of molecular velocities and types of molecular velocities – Average, Root Mean Square and Most Probable Velocity. Behavior of real gases,  deviation from ideal behaviour, compressibility factor versus pressure diagrams of real gases. Conditions for liquification of gases, critical temperature.  Liquid state – Properties of liquids in terms of intermolecular attractions. Vapour pressure, viscosity and surface tension (qualitative idea only, no  mathematical derivation)

VI. SOLUTIONS: Classification of solutions, molarity, normality, molality and mole fraction. Dilute solutions, vapor pressure, Raoult’s law, Limitations of  Raoult’s law. Colligative properties – (i) Relative lowering of vapor pressure (ii) Elevation of B.P (iii) Depression in freezing point and their relation to molar mass. Osmosis and osmotic pressure – theory of dilute solutions. Determination of molar mass using colligative properties: Ostwald’s dynamic  method, Cottrell’s method, Rast’s method and Berkeley Hartley’s method. Abnormal molecular mass.

VII. ELECTRO CHEMISTRY: Conductance in electrolytic solutions. Specific, Equivalent and Molar conductance – variation of conductance with concentration, Kohlrausch’s law and its application to calculation of equivalent conductance of weak electrolytes. Electrolytes and non-electrolytes,  redox reactions. Electrolysis. Some typical examples of electrolysis viz; Fused Sodium hydroxide, Fused sodium chloride, Brine solution, Fused Magnesium chloride. Faraday’s laws of electrolysis and applications. Galvanic and voltaic cells. Representation and notation of electrochemical cells  with and without salt bridge. Standard hydrogen electrode, electrode potentials, electrochemical series. EMF of the cell, Nernst equation and its  application to calculate EMF of electrochemical cells. Primary cell – dry cell / Lechlanche cell. Secondary cells – Fuel cells: Hydrogen – Oxygen fuel cell  and Hydrocarbon – Oxygen fuel cell. Corrosion: mechanism, factors to promote corrosion and prevention of corrosion, passivity. Lead accumulator.

VIII. SOLID STATE: Classification of solids based on different binding forces as molecular, ionic, covalent, and metallic solids. Elementary treatment of  metallic bond. Metallic solids, amorphous and crystalline solids. Unit cell in two dimensional and three dimensional lattices. Seven crystal systems,  Bravais lattices. Bragg’s equation, X-ray study of crystal structure, Bragg’s method. Calculation of density of unit cell, packing in solids, voids, number  of atoms per cubic unit cell. Point defects – Schottky and Frenkel defects. Electrical and magnetic properties.

IX. CHEMICAL KINETICS: Concepts of reaction rate, factors affecting reaction rates. Rate law, Units of rate constant. Order and molecularity.  Methods of determination of order of a reaction. Integrated rate equations and half lives for zero and first order reaction Collision theory of reaction  rates (elementary ideas). Concept of activation energy. Equilibrium: Equilibrium in physical and chemical processes, dynamic nature of equilibrium,  Law of mass action, equilibrium constant. Factors affecting equilibrium. Relation between Kp and Kc Le Chatelier’s principle, application to industrial  synthesis of (i) Ammonia (ii) Sulphur trioxide. Acids and Bases: Lowry-Bronsted acid base theory. Lewis theory, limitation of Lewis theory, Ionic  equilibrium. Ionization of acids and bases, strong and weak electrolytes, degree of ionization. Ionic product of water. Concept of pH. Hydrolysis of salts  (elementary idea), hydrolysis constant, buffer solutions.Solubility product and common ion effect with illustrative examples.

X. THERMODYNAMICS: Concept of system, types of systems, surroundings, work, heat, energy, extensive and intensive properties, state functions.  First law of thermodynamics – Internal energy and Enthalpy. Heat capacity and Specific heat, Exothermic and Endothermic reactions, measurement of  ∆E and ∆H, Enthalpy of bond dissociation, combustion, neutralization, formation, atomization, sublimation, phase transition, ionization and dilution.  Thermochemical equations. Hess’s law of constant heat summation. Driving force for a spontaneous process. Thermodynamic representation of  criteria of spontaneity in terms of entropy, entropy as a state function. Gibbs free energy, Gibbs free energy change for spontaneous, non spontaneous  and equilibrium processes.

XI. SURFACE CHEMISTRY: Adsorption: Physical and chemical adsorption, adsorption of gases on solids, factors affecting it – pressure (Langmuir and  Freundlich Isotherms) and temperature. Catalysis – types of catalysis, autocatalysis Colloidal state: colloidal solutions, classification of colloidal  solutions, protective colloids and Gold number, Properties of colloids – Tyndall effect, Brownian movement. Coagulation. Emulsions, classification of  emulsions, micelles, cleansing action of soap.

XII. HYDROGEN AND ITS COMPOUNDS: Position of hydrogen in periodic table. Occurrence, isotopes of hydrogen. Hydrogen – Preparation,  properties and uses including as a fuel. Reactions of hydrogen leading to ionic, molecular and non – stoichiometric hydrides. Physical and Chemical  properties of water and heavy water. Hardness of water and its removal Hydrogen peroxide – methods of preparation, physical and chemical properties – oxidation, reduction, decomposition, disproportionation and addition reactions. Detection, structure and uses of Hydrogen Peroxide.

XIII. ALKALI AND ALKALINE EARTH METALS: General introduction, electronic configuration, occurrence, Anomalous properties of the first element  in each group. Diagonal relationship. Trends in properties like ionization enthalpy, atomic and ionic radii, reactivity with oxygen, hydrogen, halogens and  water, uses of alkali and alkaline earth metals.Preparation, properties and uses of sodium hydroxide, salts of oxo acids, sodium carbonate, sodium  hydrogen carbonate and sodium chloride. Preparation and uses of Calcium oxide, Calcium carbonate and Calcium sulphate. Biological importance of  Na, K, Mg and Ca.

XIV. p-BLOCK ELEMENTS: GROUP 13 ELEMENTS: (IIIA GROUP ELEMENTS): General introduction, electronic configuration, occurrence.  Variation of properties and oxidation states, trends in chemical reactivity. Anomalous properties of first element of the group. Boron- Physical and  chemical properties and uses of boron. Borax, boric acid and boron hydrides. Preparation, structure and properties of diborane. Aluminum: uses,  reactions with acids and alkalis. Potash alum.

XV. p-BLOCK ELEMENTS: GROUP 14 ELEMENTS: (IVA GROUP ELEMENTS): General introduction, electronic configuration, occurrence. Variation of properties and oxidation states, trends in chemical reactivity. Anomalous behavior of first element. Carbon – catenation, allotropic forms, physical and chemical properties and uses. Similarities between carbon and silicon, uses of oxides of carbon. Important compounds of Silicon – Silicon dioxide, uses  of Silicon tetrachloride, silicones, silicates and zeolites (Elementary Ideas). Manufacture and uses of Producer gas and Water gas.

XVI. p- BLOCK ELEMENTS: GROUP 15 ELEMENTS (VA GROUP ELEMENTS): Occurrence – physical states of nitrogen and phosphorous, allotropy,  catenation, electronic configuration, oxidation states. General characteristics and structure of hydrides. General characteristics of oxides and halides.  Oxoacids of nitrogen and phosphorous. Preparation and uses of nitric acid and Ammonia. Super phosphate of lime.

XVII. p- BLOCK ELEMENTS: GROUP 16 ELEMENTS (VIA GROUP ELEMENTS): Occurrence, electronic configuration, oxidation states, physical  states of oxygen and sulphur, their structure and allotropy. General characteristics of hydrides, oxides and halides. Structural aspects of oxy acids of  chalcogens. Preparation, properties and uses of ozone and sodium thiosulphate. Industrial process for manufacture of sulphuric acid.

XVIII. P- BLOCK ELEMENTS: GROUP 17 ELEMENTS (VIIA GROUP ELEMENTS): Occurrence, electronic configuration and oxidation states. Physical states of halogens. Ionization Potential, Electro negativity, Electron affinity, bond energies, chemical reactivity, oxidizing power of fluorine and  chlorine. Structural aspects of oxy acids of chlorine. Preparation, properties and uses of fluorine, chlorine and bleaching powder. Structures of Inter  halogen compounds.

XIX. GROUP 18 ELEMENTS: (ZERO GROUP ELEMENTS): General introduction, electronic configuration, occurrence and isolation. Trends in physical and chemical properties and uses. Structures of Xenon oxides and halides.

XX. TRANSITION ELEMENTS: General introduction, electronic configuration, occurrence and characteristics of transition metals. General trends in  properties of first row transition elements – metallic character, ionization energy, variable oxidation states, atomic and ionic radii, color, catalytic property,  magnetic property, interstitial compounds and alloy formation. Lanthanides: Electronic configuration, variable oxidation states, chemical reactivity and  lanthanide contraction. Coordination compounds: Introduction, ligands, coordination number, Werner’s theory of coordination compounds, shapes  of coordination compounds – Valence bond theory, IUPAC nomenclature of mono nuclear coordination compounds, bonding, isomerism, EAN rule,  importance of coordination compounds in qualitative analysis, extraction of metals and biological systems (chromo proteins, haemoglobin, chlorophyll: structures only).

XXI. GENERAL PRINCIPLES OF METALLURGY: Principles and methods of extraction – concentration, reduction by chemical and Electrolytic methods and refining. Occurrence and principles of extraction of Copper, Zinc, Iron and Silver. Molten electrolysis processes of Aluminium, Magnesium and Sodium.

XXII. ENVIRONMENTAL CHEMISTRY: Definition of terms, types of Pollution, Air, Water and Soil pollution. Oxides of carbon, carbon monoxide, oxides of nitrogen and sulphur, chloro fluoro carbons. Chemical reactions in atmosphere, smogs, major atmospheric pollutants, acid rain. Ozone and its reactions, effects of depletion of ozone layer. Greenhouse effect and global warming. Pollution due to industrial wastes. Green chemistry as an alternative tool for reducing pollution with two examples.

XXIII. BASIC PRINCIPLES AND TECHNIQUES IN ORGANIC CHEMISTRY: Introduction, methods of purification, qualitative and quantitative analysis of organic compounds. Classification and IUPAC nomenclature of organic compounds. Homolytic and heterolytic fission of covalent bond. Types of  regents – electrophiles, nucleophiles and free radicals with examples. Reactive intermediates. Types of organic reactions – substitution, addition,  elimination and rearrangement reactions with examples. Inductive effect, electromeric effect, resonance and hyperconjugation.

XXIV. HYDROCARBONS: Classification of hydrocarbons. Alkanes – Nomenclature, isomerism. Methods of preparation of ethane. Conformations of  ethane. Physical properties, chemical reactions including free radical mechanism of halogenation, Combustion and Pyrolysis of ethane. Cycloalkanes  : Preparation and properties of cyclohexane. Alkenes – Nomenclature, structure of ethene, geometrical isomerism and physical properties of  geometrical isomers. Ethylene: Methods of preparation, physical properties and chemical reactions – addition of hydrogen, halogen, water, hydrogen  halides (Markovnikov’s addition and peroxide effect), Ozonolysis and oxidation. Mechanism of electrophilic addition.

XXV. ALKYNES & AROMATIC HYDROCARBONS: Nomenclature, structure of triple bond. Acetylene – Methods of preparation, Physical properties  and chemical reactions: acidic character of acetylene, addition reaction of – hydrogen, halogens, hydrogen halides and water. Aromatic  hydrocarbons: Introduction, IUPAC nomenclature; Benzene: resonance and aromaticity, Chemical properties: Mechanism of electrophilic  substitution – Nitration, Sulphonation, Halogenation, Friedel Craft’s alkylation and Acylation. Directive influence of functional group in mono substituted  benzene. Carcinogenicity and toxicity of aromatic compounds.

XXVI. STEREO CHEMISTRY: Optical activity-discovery, determination using a polarimeter, specific rotation. Asymmetric carbon, elements of  symmetry. Chirality – Chiral objects, Chiral molecules. Compounds containing one chiral centre, enantiomers, Fischer projections and Configuration.  D,L- and R,S- nomenclature, racemic forms, racemisation and resolution. Compounds containing two chiral centers, diastereomers, meso form.  Importance of Stereochemistry.

XXVII.HALOALKANES & HALOARENES: Haloalkanes: Nomenclature, nature of C-X bond, Preparation, physical and chemical properties of ethyl  chloride and chloroform. Mechanism of SN1, and SN2 reactions. Haloarenes: Nature of C-X bond, Preparation and Substitution reactions of  chlorobenzene (directive influence of halogen for mono substituted compounds only).

XVIII. ALCOHOLS , PHENOLS AND ETHERS: Alcohols: Nomenclature, methods of preparation, physical and chemical properties of ethyl alcohol. Mechanism of dehydration. Identification of primary, secondary and tertiary alcohols. Uses of methanol and ethanol. Phenols: Nomenclature,  methods of preparation, physical and chemical properties of phenol, acidic nature of phenol. Electrophilic substitution reactions and uses of phenols.  Ethers: Nomenclature, methods of preparation, physical and chemical properties and uses of diethyl ether.

XXIX. ALDEHYDES AND KETONES: Nomenclature, and nature of carbonyl group. Methods of preparation, physical and chemical properties and  uses of acetaldehyde and acetone. Mechanism of nucleophilic addition. Aldol and crossed aldol condensation, Cannizzaro reaction.

XXX. CARBOXYLIC ACIDS: Nomenclature and acidity of carboxylic acids. Methods of preparation, Physical and chemical properties and uses of acetic acid.

XXXI. ORGANIC COMPOUNDS CONTAINING NITROGEN: Nitrobenzene: Preparation, properties and uses. Amines: Nomenclature and classification of amines. Structure, methods of preparation, physical and chemical properties and uses of Aniline. Identification of primary, secondary  and tertiary amines. Diazonium salts: Preparation, chemical reactions and importance of diazonium salts in synthetic organic chemistry. Azo dyes and  their uses. Cyanides and Isocyanides.

XXXII. POLYMERS & BIOMOLECULES: Classification of polymers. Addition and condensation polymerization. Copolymerization. Natural rubber,  vulcanization of rubber, synthetic rubber – Neoprene and Buna- S. Molecular weights of polymers – Number average and weight average molecular weights (definition only) Biopolymers – Carbohydrates and Proteins. Biodegradable polymers and some commercially important polymers – Polythene,  nylon, polyesters and bakelite. Carbohydrates: Importance. Classification into (a) aldoses and ketoses and (b) mono (glucose and fructose), oligo  (sucrose, lactose, maltose) and polysaccharides (starch, cellulose, glycogen). Structure determination and properties of glucose. Structural features of  oligo and polysaccharides mentioned above. Proteins: Elementary idea of Alpha amino acids, peptide bond, polypeptides and proteins. Primary,  secondary, tertiary and quaternary structures of Proteins (Qualitative idea only). Denaturation of proteins; enzymes. Vitamins: Classification and  functions of vitamins in biosystems. Nucleic Acids: Types of nucleic acids, primary building blocks of nucleic acids. Chemical composition of DNA &  RNA, Primary structure of DNA and its double helix. Replication. Transcription, protein synthesis and genetic code. Lipids: Classification, structure and  functions of lipids in biosystems. Hormones: Classification, structural features and functions of hormones in biosystems.

XXXIII. CHEMISTRY IN EVERYDAY LIFE: Uses of Chemicals in medicine: Analgesics (i) Narcotics: morphine, codeine. (ii) Non-narcotics : Aspirin,  Ibuprofen. Antipyretics : Analgin, phenacetin and paracetamol. Tranquilizers : Barbituric acid, Luminal, seconal, valium. Antiseptics :Chloroxylenol, bithional; Disinfectants :formalin. Antimicrobials : lysozyme, lactic acid, hydrochloric acid in stomach. Antibiotics : pencillin, chloramphenicol,  sulphadiazine. Chemicals in food preservatives : sodium benzoate, potassium metabisulphite. Artificial sweetening agents :Aspartame, alitame,  sucralose.

EAMCET Engineering 2014 Physics syllabus

I. MEASUREMENTS, UNITS AND DIMENSIONS: Introduction- units and Dimensions, Accuracy, precision of measuring instruments, Constant errors,  systematic errors, environmental errors (errors due to external causes). Error due to imperfection, Random errors, Gross Errors, Absolute Errors, Mean  absolute errors, Relative errors, percentage errors, Errors due to addition, subtraction, multiplication, division, powers of observed quantities, Significant figures, Fundamental and derived physical quantities / System of Units, definition of units in SI, Rules for writing units in SI, Derived units in SI, Multiple and submultiples of SI units, Dimensional formulae and dimensional equations, dimensional constants and dimensionless quantities.  Principle of homogeneity of dimensions, Conversion of one system of units into another, to check correctness of an equation, to derive the relationship  between different physical quantities.

II. ELEMENTS OF VECTORS : Classification of Physical quantities, geometrical representation of vectors, addition of vectors, equality of vectors, Laws  of vector addition, subtraction of vectors, Resolution of a vector into components, null vector, unit vector in Cartesian co-ordinate system, position  vector and its magnitude, Parallelogram law of addition of vectors, Derivation of expression for the magnitude and the direction of resultant vector,  Special cases, Triangle law and polygon law of vectors, triangle law of addition of vectors, polygon law of addition of vectors, concept of relative  velocity, application to relative motion of a boat in a river, motion of a boat across a river, shortest path, shortest time, Multiplication of vector with a scalar, product of two vectors, scalar product or dot product of two vectors, properties of scalar product, examples of scalar product, work done and  energy, vector product of two vectors, properties of vector product of two vectors, examples of vector product of two vectors – torque, angular velocity  and angular momentum.

III. Kinematics: Introduction : Motion in a straight line – displacement, speed and velocity, Uniform and non-uniform motion, average speed and  instantaneous velocity, Uniformly accelerated motion, velocity-time and position-time graphs, equations for uniformly accelerated motion (graphical treatment), acceleration due to gravity, equations of motion of a freely falling body, Equations of motion of an object vertically projected upwards from  the ground, Maximum height (H), Time of ascent, time of descent, velocity of the body on returning to the point of projection, Vertical projection of an  object from a tower, Projectiles – oblique projection from ground, equation of trajectory, maximum height, time of ascent, time of flight, horizontal range,  two angles of projection for the same range, velocity of projection at any instant, horizontal projection from the top of a tower, equation of trajectory, time  of descent, range, velocity of the projectile (at any instant).

IV. Dynamics: Introduction- Newton’s laws of motion, applications of Newton’s laws. Objects suspended by strings, Atwood machine, blocks placed in  contact with each other on frictionless horizontal surface, apparent weight in a lift, Impulse, law of conservation of linear momentum, conservation of  linear momentum during collision, work, power, energy, KE&PE definition and derivation for both, Relation between KE and Linear momentum, conservative and non-conservative forces, work-energy theorem, Law of conservation of energy in case of freely falling body and vertically projected  body.

V. COLLISIONS: Introduction – Elastic and inelastic collisions, Collisions in one dimension (Elastic collision only), body at rest, bodies moving in same  direction and opposite directions, Co-efficient of restitution, definition, equation for height attained for freely falling body after number of rebounds on
floor.

VI. CENTRE OF MASS (CM): Introduction- Centre of mass, difference between centre of mass and centre of gravity, co-ordinates of centre of mass,  centre of mass of particles along a line, centre of mass of system of particles in a plane, center of mass of system of particles in space, motion of centre of mass (Velocity and acceleration of CM), characteristics of centre of mass, laws of motion of the centre of mass, velocity and acceleration, explosion.

VII. FRICTION: Introduction – cause of friction, advantages of friction, disadvantages of friction, methods of reducing friction, types of friction, static friction, kinetic (or) dynamic friction, rolling friction, Distinction between static and dynamic friction. Normal reaction, laws of friction, static friction, kinetic friction or Dynamic friction, Rolling friction, Angle of friction, motion of body on rough horizontal plane, motion of bodies on an inclined plane, Body at rest on the plane-Angle of repose-when the body is just ready to slide, when the body is sliding down. Motion of a body on smooth and rough inclined plane, body sliding down the plane, body sliding up the plane, pushing and pulling of a lawn roller. A lawn roller on a horizontal surface pulled by an inclined force, a roller on horizontal surface pushed by an inclined force.

VIII. ROTATORY MOTION: Introduction, uniform circular motion, concept of angular displacement, angular velocity and angular acceleration, relation between linear velocity and angular velocity, centripetal acceleration and force, torque, couple (concepts, units, dimensional formula and examples), Vector representation of torque, Moment of Inertia(MI), definition, units, parallel and perpendicular axes theorems. Expressions for MI of a thin rod, uniform disc, rectangular lamina, solid and hollow spheres, circular ring and cylinder (no derivations needed), angular momentum, relation between angular momentum and torque, law of conservation of angular momentum with examples, Motion in vertical circle.

IX. GRAVITATION: Introduction- Basic forces in nature, Nature of gravity, law of universal gravitation, Relation between Universal gravitational constant (G) and acceleration due to gravity (g), variation of ‘g’ with altitude, depth, latitude and shape of the earth, characteristics of gravitational force,  limitations of Newton’s third law, gravitational field, field strength, properties of gravitational fields, Origin of black holes, Chandrashekar limit, neutron  star, Frames of reference, Inertial and Non- Inertial frames, Inertial and Gravitational mass & relation between them, Principle of equivalence, Escape and Orbital velocities, definition, derivation of expressions and relation between them, Geostationary satellites and their uses.

X. SIMPLE HARMONIC MOTION (SHM): Introduction- simple harmonic motion examples, SHM explanation by reference circle, expression for displacement, amplitude, velocity, acceleration, time period, frequency, phase, initial phase (epoch) – Simple pendulum, expression for time period,  loaded spring, expression for time period, force constant, PE and KE of simple harmonic oscillator, Total Energy of Simple Harmonic Oscillator, Law of  conservation of energy in the case of a simple pendulum.

XI. ELASTICITY: Introduction- Elasticity and plasticity, stress, strain, Hook’s law, Moduli of elasticity, Poisson’s ratio, definition and its limit, Behavior of  a wire under gradually increasing load- Elastic fatigue, strain energy – experimental determination of Young’s modulus of wire.

XII. SURFACE TENSION: Introduction – surface tension, definition – Examples, molecular theory of surface tension. Surface energy, Angle of contact,  capillarity-examples in daily life, Determination of surface tension by capillary rise method – theory and experiment. Effect of temperature on surface  tension, excess pressure in liquid drops and soap bubbles.

XIII- FLUID MECHANICS: Introduction – Principle of Buoyancy- pressure in a fluid – Streamline flow – Bernoulli’s theorem – equation with derivation –  applications-aerodynamic lift, motion of a spinning ball, Illustrations of Bernoulli’s theorem. Viscosity – explanation, coefficient of viscosity, effect of  temperature on viscosity, Poiseuille’s equation, Motion of objects through fluids. Stokes formula, net force on the object, terminal velocity.

XIV. TEMPERATURE AND THERMAL EXPANSION OF MATERIALS: Introduction- concept of temperature, Measurement of temperature, Fahrenheit,  Centigrade scales of temperature, their relation (only formulae)- Different types of thermometers (brief theoretical description). Expansion of solids:  Introduction -Vibration of atoms in a solid, PE curve, Anharmonicity of vibrations, explanation for expansion in solids. Coefficients of linear, areal and  cubical expansion, definitions, Expressions & Relation between these coefficients of expansions, change of density with temperature, examples in daily  life. Expansion of Liquids: Introduction- coefficients of real and apparent expansion of liquids, relation between them with derivation, Determination of  coefficient of apparent expansion of liquids by specific gravity bottle method, Anomalous expansion of water, its significance in nature. Expansion of  gases: Introduction – volume and pressure coefficients of gases, relation between them and derivation. Determination of volume coefficient-Regnault’s  method. Determination of pressure coefficient-Jolly’s bulb method. Kelvin scale of temperature, Boyle’s and Charle’s laws. Ideal gas equation,  derivation, significance of Universal gas constant.

XV. THERMODYNAMICS: Introduction – Quasi static and cyclic process, reversible and irreversible processes, Heat and Temperature, Zeroeth law of  Thermodynamics, definition of Calorie, Joule’s law and mechanical equivalent of heat, Internal energy, First law of thermodynamics, equation and  explanation. Heat capacity, specific heat, experimental determination of specific heat by the method of mixtures. Specific heats of a gas (Cp and Cv ),  External work done by a gas during its expansion. Relation between Cp and Cv derivation, Isothermal and adiabatic processes. Relation between P, V  and T in these processes. Expression for work done in Isothermal process (no derivation), expression of work done in adiabatic process (no derivation).  Heat engines and refrigerators (only qualitative treatment). Three phases of matter, Triple point – Triple point of water. Latent heat, Determination of  latent heat of vaporization of water, Second law of thermodynamics – different statements.

XVI. TRANSMISSION OF HEAT: Introduction – conduction of heat, coefficient of thermal conductivity, convection- Type of convections, Nature and  properties of Thermal radiation, Prevost’s theory of heat exchange – emission power and absorptive power – Black body radiation, Kirchoff’s law and its  applications – Stefan’s law – Newton’s law of cooling.

XVII. WAVE MOTION: Longitudinal and transverse waves, Equation for a progressive wave, principle of superposition of waves, reflection of waves,  Formation of waves on a stretched string, laws of vibrating strings, experimental verification by Sonometer, Sound: Characteristics of sound, speed of  sound in solids, liquids and gases (only formula to be given), Forced Vibrations, Free Vibrations, Resonance with examples, standing waves in Organ  Pipes, Open Pipes, Closed Pipes, Fundamental frequency-Overtones, Harmonics, definition and explanation, Beats definition and its importance. Doppler Effect, Definition, derivation of relation for apparent frequency of a sound note emitted by a source for the cases a) only source is moving,  b) only listener is moving, c) both source and listener are moving. Applications and limitations of Doppler Effect- Echoes, Absorption of sound waves,  Reverberation – Reverberation Time, Fundamentals of building Acoustics – Statement of Sabine’s Law.

XVIII. OPTICS: Nature of Light, Newton’s corpuscular Theory, Huygen’s Wave Theory- Electromagnetic spectrum. Huygen’s Explanation of Reflection and Refraction of plane waves at a plane surface. Refraction through prism, Derivation of Refractive index of material of prism for minimum deviation,  critical angle, Total Internal Reflection, Relation between Critical angle and Refractive Index, application of total internal reflection to Optical fibers.  Defects in Images: Spherical and Chromatic aberrations and reducing these defects, Different methods (qualitative treatment). Optical Instruments:  Microscope, Telescope, Formula for magnification of Microscope, Astronomical and Terrestrial Telescopes. Construction of Ramsden’s and Huygen’s  eye pieces with ray diagrams. Dispersion of light, dispersive power, pure and impure spectra, condition for obtaining pure spectrum, different kinds of  spectra– Emission spectra, Line, Band and continuous spectra, absorption spectra, Fraunhofer lines and their significance.

XIX. PHYSICAL OPTICS: Interference – condition for interference, Young’s double slit experiment – Derivation for Intensity and fringe width – Uses of  interference, Diffraction: Fresnel and Fraunhofer diffraction (Qualitative only). Polarisation: Concepts of Polarisation. Plane Polarisation of Light by  Reflection, Refraction and Double Refraction (Polaroids).

XX. MAGNETISM: Coulomb’s Inverse Square Law, Definition of Magnetic Field, Magnetic Lines of Force- Uniform and Non – Uniform Magnetic Fields. Couple acting on a bar magnet placed in a uniform magnetic field, Definition of magnetic moment of magnet. Magnetic Induction due to a bar magnet on  axial and equatorial lines. Superposition of magnetic fields, Tangent Law, Deflection Magnetometer. Comparison of Magnetic Moments in Tan A, Tan B positions by equal distance method and Null Method, Verification of Inverse Square Law. Vibration Magnetometer- Principle and Description,  Experimental determination of M and BH (earth’s horizontal component) using Vibration Magnetometer. Types of magnetic materials – Para, Dia, and  Ferro Magnetism – Definition and properties.

XXI. ELECTROSTATICS: Charges – conservation of charge and additive property of charges. Coulomb’s Law : Permittivity of Free Space and  Permittivity of Medium, Force between two point charges. Force due to multiple charges – Principle of superposition with examples. Electric field,  Electric lines of force, their properties, Electric field intensity definition, electric intensity due to isolated charge and due to multiple charges. Electrostatic  Potential, Definition of Electrostatic Potential in an electric field- Potential due to single charge and multiple charges, Electrostatic potential energy-  Relation between electrostatic potential and electric intensity. Electric Flux & Gauss Law: Electric Flux Definition, Gauss Law-Statement of Gauss Law,  Application of Gauss Law to find electric intensity and electrostatic Potential due to continuous charge distribution of Infinite Long wire, Infinite Plane  Sheet and Spherical Shell. Capacitance, Definition of Electrical Capacity of a Conductor, Capacitance, Dielectric constant, Definition of Condenser, its uses, Parallel plate Condenser, Formula for Capacitance of Parallel Plate Condenser, Dielectric, Dielectric Strength, Effect of dielectric on capacitance of capacitor. Capacitors in series and in parallel: derivation of the equivalent capacitance for the above cases. Energy stored in a Condenser, Effect of  dielectric on Energy of Condenser, Types of capacitors, their uses.

XXII. CURRENT ELECTRICITY: Electric current – Flow of Electric charges in a metallic conductor, Drift velocity and mobility, Relation between electric current and drift velocity. Ohm’s Law: Statement, Ohmic and Non-Ohmic elements with examples, Conductance, Specific resistance, Variation of  resistivity with temperature, Variation of Resistance with temperature, Thermistor. E.M.F. of Cell – Internal resistance and back E.M.F., Difference  between EMF of a Cell and potential difference. Electrical energy, Power, definition of kWh. Kirchhoff’s laws: Statement of Kirchhoff’s voltage law,  Kirchhoff’s current law, their application to Wheatstone bridge, condition for balancing, Meter bridge, Determination of resistance of a conductor using  meter bridge. Principle of Potentiometer determination of internal resistance and E.M.F. of a cell using potentiometer. Series and parallel combination of  cells – Derivation of equivalent EMF for the above cases.

XXIII. THERMOELECTRICITY: Introduction- Seebeck effect, Peltier and Thomson effects and their coefficients. Variation of themo EMF with temperature, Neutral and Inversion Temperatures. Applications of Thermo- Couple.

XXIV. ELECTROMAGNETICS: Oersted’s Experiment, Biot – Savart Law, Ampere’s Law, Magnetic field near a long straight wire and magnetic field at  the Center of a circular coil carrying current (with derivations). Field on the axis of circular coil carrying current (expression only). Tangent Galvanometer  (TG), Principle and working, Definition of Reduction Factor. Force on a moving charge in a magnetic field, Force on a current carrying conductor placed in a magnetic field, Force between two long straight parallel conductors carrying current, Definition of Ampere, Fleming’s Left Hand Rule, Current loop  as a magnetic dipole, force and Torque on Current loop in an uniform magnetic field, magnetic dipole moment of a revolving electron. Principle,  Construction and working of Moving Coil Galvanometer (MCG), Converting MCG into ammeter and voltmeter, comparison of MCG with TG.  Electromagnetic induction, Magnetic Flux, Induced EMF, Faraday’s and Lenz’s Laws. Fleming’s Right Hand Rule, Self Inductance, Mutual Inductance,  Principle of Transformer. Growth & decay of current in L-R circuit with DC source, Growth and decay of charge in R.C. Circuit connected to DC  source, Equations for charge on condenser – Current in inductor, Time constant, Definition and its significance. Alternating current (A.C), Introduction –  Instantaneous, maximum and RMS value of A.C. current, Alternating Voltage applied to a pure resistor, pure inductor, pure capacitor, AC through C-R,  L-R and L-C-R series circuits.

XXV. ATOMIC PHYSICS: Discovery of electron, e/m of electron by Thomson’s method, Charge of the electron by Millikan’s Oil Drop Method (Principle  Only). Photo Electric Effect : Definition, Laws of Photoelectric Emission, Einstein’s explanation of Photoelectric effect, Einstein’s Photo electric equation  and its experimental verification by Milikan’s method. Photo Electric Cells, working and uses. X- Rays- Production of X- Rays, Coolidge tube, X- ray  spectrum, Continuous X- Ray Spectra, Characteristic X – Ray Spectra, Moseley’s Law and its importance. Compton effect (Statement only), Dual  nature of matter, de Broglie’s hypothesis (concept only).

XXVI. NUCLEAR PHYSICS: Composition and size of nucleus, mass defect and binding energy and their relation (Explanation with examples). Natural  radio activity – alpha, beta and gamma radiations and their properties, radio active decay law, half life and average life of a radio active substance,  Nuclear forces – Their Properties, Artificial Transmutation of elements, Discovery of Neutron, Radio Isotopes and their uses. Nuclear Fission, Chain Reaction, Principle and Working of a Nuclear Reactor, Nuclear Radiation Hazards, Protective shielding, Types of reactors – Breeder Reactor, Power  Reactor and their uses. Nuclear Fusion, Energy of Sun and stars, Carbon – Nitrogen cycle and proton – proton cycle, Elementary particles.

XXVI. SEMI CONDUCTOR DEVICES: Introduction- Intrinsic and extrinsic semi conductors (n and p type). Junction diode, p -n junction, depletion layer  and barrier potential, Forward and Reverse bias, and Current -voltage characteristics of junction diode, p –n Diode as half wave and full wave rectifier (only qualitative treatment), Zener Diode as a voltage regulator. Transistor Function of Emitter, Base and Collector, p-n-p and n-p-n Transistors, Biasing  of Transistors, Current –Voltage Characteristics of Transistor in CE configuration, Transistor as common emitter amplifier (qualitative treatment), Logic  Gates -OR, AND , NOT, NOR, NAND .

XXVII. COMMUNICATION SYSTEMS: Elements of communication systems (block diagram only), Bandwidth of signals (Speech, TV and digital data),  bandwidth of Transmission medium. Propagation of electromagnetic waves in the atmosphere, sky and space wave propagation, Modulation, Need for  modulation.

EAMCET Engineering 2014 Mathematics syllabus

1. ALGEBRA: a) Functions – Types of functions – Algebra of real valued functions b) Mathematical induction and applications c) Permutations and Combinations – linear and circular permutations – combinations. d) Binomial theorem – for a positive integral index – for any rational index –  applications – Binomial Coefficients. e) Partial fractions f) Exponential and logarithmic series g) Quadratic expressions, equations and inequations in  one variable. h) Theory of equations – Relations between the roots and Coefficients in any equation – Transformation of equations – reciprocal  equations. i) Matrices and determinants – Types of matrices – Algebra of matrices – Properties of determinants – simultaneous linear equations in two  and three variables – Consistency and inconsistency of simultaneous equations. j) Complex numbers and their properties – De Moivre’s theorem –  Applications – Expansions of trigonometric functions.

2. TRIGONOMETRY: a) Trigonometric functions – Graphs – periodicity b) Trigonometric ratios of compound angles, multiple and sub-multiple angles,  Transformations – sum and product rules. c) Trigonometric equations d) Inverse trigonometric functions e) Hyperbolic and inverse hyperbolic functions  f) Properties of Triangles g) Heights and distances (in two-dimensional plane)

3. VECTOR ALGEBRA: a) Algebra of vectors – angle between two non-zero vectors – linear combination of vectors – vector equation of line and plane b) Scalar and vector product of two vectors and their applications c) Scalar and vector triple products, Scalar and vector products of four vectors .

4. PROBABILITY: a) Random experiments – Sample space – events – probability of an event – addition and multiplication theorems of probability –  Conditional event and conditional probability – Baye’s theorem b) Random variables – Mean and variance of a random variable – Binomial and Poisson distributions .

5. COORDINATE GEOMETRY: a) Locus, Translation of axes, rotation of axes b) Straight line c) Pair of straight lines d) Circles e) System of circles  f) Conics – Parabola – Ellipse – Hyperbola – Equations of tangent, normal, chord of contact and polar at any point of these conics, asymptotes of  hyperbola. g) Polar Coordinates h) Coordinates in three dimensions, distance between two points in the space, section formula, centroid of a triangle  and tetrahedron. i) Direction Cosines and direction ratios of a line – angle between two lines j) Cartesian equation of a plane in (i) general form  (ii) normal form and (iii) intercept form – angle between two planes k) Sphere – Cartesian equation – Centre and radius.

6. CALCULUS: a) Functions – limits – Continuity b) Differentiation – Methods of differentiation c) Successive differentiation – Leibnitz’s theorem and its  applications d) Applications of differentiation e) Partial differentiation including Euler’s theorem on homogeneous functions f) Integration – methods of  integration g) Definite integrals and their applications to areas – reduction formulae h) Numerical integration – Trapezoidal and Simpson’s rules  Differential equations – order and degree – Formation of differential equations – Solution of differential equation by variables separable method –  Solving homogeneous and linear differential equations of first order and first degree.

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