Contents

## Assam CEE 2020 Syllabus

**Assam CEE 2020 Syllabus of Physics, Chemistry **and** Mathematics** is given here:

## Syllabus of Physics

### ELECTROSTATICS

Electric charges and their conservation. Coulomb’s law– force between two point charges, forces between multiple charges; superposition principle and continuous charge distribution.

Electric field, electric field due to a point charge, electric dipole, electric field due to dipole; torque on a dipole in a uniform electric field.

Electric field lines; Electric flux, statement of Gauss’s theorem and its applications to find field due to infinitely long straight wire, uniformly charged infinite plane sheet and uniformly charged thin spherical shell (field inside and outside).

Electric potential, potential difference, electric potential due to a point charge, a dipole and system of charges; equipotential surfaces, electrical potential energy of a system of charges and of electric dipoles in an electrostatic field.

Conductors and insulators, free charges and bound charges inside a conductor. Dielectrics and electric polarisation, capacitors and capacitance, 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, Van de Graaff generator.

### CURRENT ELECTRICITY

Electric current, flow of electric charges in a metallic conductor, drift velocity and mobility, and

their relation with electric current; Ohm’s law, electrical resistance, V-I characteristics (linear and

non-linear), electrical energy and power, electrical resistivity and conductivity. Carbon resistors,

colour code for carbon resistors; series and parallel combinations of resistors; temperature

dependence of resistance.

Internal resistance of a cell, potential difference and emf of a cell, combination of cells in series and in

parallel.

Kirchhoff’s laws and simple applications. Wheatstone bridge, metre bridge.

Potentiometer– principle and applications to measure potential difference, and for comparing emf of

emfs cell’S; measurement of internal resistance of a cell.

### MAGNETIC EFFECTS OF CURRENT AND MAGNETISM

Concept of Magnetic field, Oersted’s experiment.

Biot-Savart law and its applications to current carrying circular loop (both at centre and at axial point),

finite straight conductor.

Ampere’s law and its applications to infinitely long straight wire, straight and toroidal solenoids.

Force on a moving charge in uniform magnetic and electric fields. Lorentz force Cyclotron.

Force on a current-carrying conductor in a uniform magnetic field. Force between two parallel currentcarrying

conductors-definition of one ampere current. Torque experienced by a current loop in a Uniform

magnetic field; moving coil galvanometer– its current sensitivity and voltage sentitivity and conversion to

ammeter and voltmeter.

Current loop as a magnetic dipole and its magnetic dipole moment. Magnetic dipole moment of a

revolving electron. Magnetic field intensity due to a magnetic dipole (bar magnet) along its axis and

perpendicular to its axis. Torque on a magnetic dipole (bar magnet) in a uniform magnetic field; bar

magnet as an equivalent solenoid, magnetic field lines; Earth’s magnetic field and magnetic elements.

Para-, dia- and ferro- magnetic substances, with examples. Magnetic Hysteresis Electromagnets and

factors affecting their strengths. Permanent magnets.

### ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENTS

Faraday’s Expt, Magnetic flux, Electromagnetic induction; Growth and decay of currents in DC LR,

RC circuits, Faraday’s law, induced emf and current; Lenz’s Law, Eddy currents. Self and mutual

inductance.

Alternating currents voltage, peak and rms value of alternating current/voltage power; reactance and

impedance; LC oscillations (qualitative treatment only), LCR series circuit resonance power in AC

circuits, wattless current.

AC generator and transformer.

### ELECTROMAGNETIC WAVES

Electromagnetic waves and their characteristics (qualitative ideas only). Transverse nature of electromagnetic

waves. Need for displacement current.

Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet, x-rays, gamma rays)

including elementary facts about their uses.

### OPTICS

(Follow NC Convention wherever necessary)

Reflection of light, spherical mirrors, mirror formula. Refraction of light, total internal reflection and its

applications, optical fibres, refraction at spherical surfaces, lenses, thin lens formula, lensmaker’s formula.

Magnification, power of a lens, combination of thin lenses in contact. Refraction and dispersion of

light through a prism.

Scattering of light– blue colour of the sky and reddish appearance of the sun at sunrise and sunset.

Optical instruments : Human eye, image formation and accommodation, correction of eye defects

(myopia, hypermetropia, presbyopia and astigmatism) using lenses. Microscopes and astronomical

telescopes (reflecting and refracting) and their magnifying powers.

Wave optics : Wavefront and Huygens’ principle, reflection and refraction of plane wave at a

plane surface using wavefronts. Proof of laws of reflection and refraction using Huygens’ principle.

Interference, Young’s double slit experiment and expression for fringe width, coherent sources

and sustained interference of light. Diffraction due to a single slit, width of central maximum.

Resolving power of microscopes and astronomical telescopes. Polarisation, plane polarised light;

Brewster’s law, uses of plane polarised light and Polaroids.

### DUAL NATURE OF MATTER AND RADIATION

Photoelectric effect, Hertz and Lenard’s observations; Einstein’s photoelectric equation– particle

nature of light.

Matter waves– wave nature of particles, de Broglie relation. Davisson-Germer experiment.

### ATOMS AND NUCLEI

Alpha– particle scattering experiment; Rutherford’s atomic model; Bohr model, energy levels,

hydrogen spectrum.

Composition and size of a 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.

### 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.

### COMMUNICATION SYSTEM

Elements of a communication system (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. Need for modulation. Production and detection

of an amplitude-modulated wave.

**Recommended Textbooks.**

1. Physics Part I, Textbook for Class XII, Published by NCERT

2. Physics Part II, Textbook for Class XII, Published by NCERT

## Syllabus of Chemistry

### Solid State

Classification of solids based on different binding forces : molecular, ionic, covalent and metallic

solids, amorphous and Crystalline solids (e1ementary idea), unit cell in two dimensional and three

dimensional lattices, calculation of density of unit cell, packing in solids, voids, number of atoms per

unit cell in a cubic unit cell, point defects, electrical and magnetic properties.

### Solutions

Types of solutions, expression of concentration of solutions of solids in liquids, solubility of gases in

liquids, solid solutions, colligative properties – relative lowering of vapour pressure, elevation of

boiling point, depression of freezing point, osmotic pressure, determination of molecular masses

using colligative properties, abnormal molecular mass.

### Electrochemistry

Redox reactions; conductance in electrolytic solutions, specific and molar conductivity variations of

conductivity with concentration, Kohlrausch’s Law, electrolysis and laws of electrolysis (elementary

idea), dry cell – electrolytic cells and Galvanic cells; lead accumulator, EMF of a cell, standard

electrode potential, Nernst equation and its application to chemical cells, fuel cells; corrosion.

### Chemical kinetics

Rate of a reaction (average and instantaneous), factors affecting rates of reaction: concentration,

temperature, catalyst; order and molecularity of a reaction; rate law and specific rate constant,

integrated rate equations and half life (only for zero and first order reactions); concept of collision

theory (elementary idea, no mathematical treatment).

### Surface chemistry

Adsorption : Physisorption and chemisorption; factors affecting adsorption of gases on solids;

catalysis: homogenous and heterogeneous, activity and selectivity: enzyme catalysis; colloidal state:

distinction between true solutions, colloids and suspensions; lyophilic, lyophobic multimolecular and

macromolecular colloids; properties of colloids; Tyndall effect, Brownian movement, electrophoresis,

coagulation; emulsions – types of emulsions.

### General principles and processes of Isolation of Elements

Princicples and methods of extraction : concentration, oxidation, reduction electrolytic method

and refining; occurrence and principles of extraction of aluminium, copper, zinc and iron.

p-Block Elements

Group 15 elements : General introduction, electronic configuration, occurrence, oxidation states,

trends in physical and chemical properties; nitrogen– preparation, properties and uses; compounds

of nitrogen : preparation and properties of ammonia and nitric acid, oxides of nitrogen (structure

only); Phosphorous – allotropic forms, compounds of phosphorous : preparation and properties of

phosphine, halides (PCl3, PCl5 ) and oxoacids (elementary idea only).

Group 16 elements : General introduction, electronic configuration, oxidation states, occurence,

trends in physical and chemical properties; dioxygen : preparation, properties and uses; simple

oxides; ozone. Sulphur– allotropic forms; compounds of sulphur preparation, properties and uses of

sulphur dioxide; sulphuric acid : industrial process of manufacture, properties and uses, oxoacids of

sulphur (structures only).

Group 17 elements : General introduction, electronic configuration, oxidation states, occurrence,

trends in physical and chemical properties; compounds of halogens: preparation, properties and uses

of chlorine and hydrochloric acid, interhalogen compounds, oxoacids or halogens (structures only).

Group 18 elements : Genera1 introduction, electronic configuration, occurrence, trends in physical

and chemical properties, uses.

### d and f Block Elements

General introduction, electronic configuration, occurrence and characteristics of transition metals,

general trends in properties of the first row transition metals– rnetallic character, ionization enthalpy,

oxidation states, ionic radii, colour, catalytic property, magnetic properties, interstitial compounds,

alloy formation. Preparation and properties of K2Cr2O7 and KMnO4.

Lanthanoids : electronic configuration, oxidation states, chemical reactivity and lanthanoid contraction.

Actinoids : Electronic configuration, oxidation states.

### Coordination Compounds

Coordination compounds : Introduction, ligands, coordination number, colour, magnetic properties

and shapes, IUPAC nomenclature of mononuclear coordination compounds, bonding; Werner’s

theory, VBT, CFT; isomerism, importance of coordination compounds (.in qualitative analysis, extraction

of metals and biological systems).

### Haloalkanes and Haloarenes

Haloalkanes : Nomenclature, nature of C-X bond, physical and chemical properties, mechanism

of substitution reactions.

Haloarenes : Nature of C-X bond, substitution reactions (directivc influence of halogen for monosubstituted

compounds only).

Uses and environmental effects of-dichloromethane, trichloromethane, tetrochloromethane, iodoform,

freons, DDT.

### Alcohols, Phenols and Ethers

Alcohols : Nomenclature, methods of preparation, physical and chemical properties (primary alcohols

only); identification of primary, secondary and tertiary alcohols; mechanism of dehydration of alcohol

uses, some important compounds– methanol and ethanol.

Phenols : Nomenclature, methods of preparation, physical and chemical properties, acidic nature

of phenols, electrophillic substitution reactions, uses of phenols.

Ethers : Nomenclature, methods of preparation, physical and chemical properties, uses.

### Aldehydes, Ketones and Carboxylic acids

Aldehydes and Ketones : Nomenclature, nature of carbonyl group, methods of preparation, physical

and chemical properties, and mechanism of nucleophilic addition, reactivity of alpha hydrogen in

aldehydes; uses.

Carboxylic acids : Nomenclature, acidic nature, methods of preparation, physical and chemical

properties; uses.

### Organic Compounds containing Nitrogen

Amines : Nomenclature, classification, structure, methods of preparation, physical and chemical

properties, uses, identification of primary, secondary and tertiary amines.

Cyanides and Isocyanides will be mentioned at relevant places in context.

Diazonium salts : Preparation, chemical reactions and importance in synthetic organic chemistry.

### Biomolecules

Carbohydrates : Classification (aldoses and ketoses), monosaccharides (glucose and fructose),

oligosaccharides (sucrose, lactose, maltose), polysaccharides (starch, cellulose, glycogen); importance.

Proteins : Elementary idea of a – amino acids, peptide bond, polypeptides, proteins, primary structure,

secondary structure, tertiary structure and quaternary structure (qualitative idea only), denaturation

of proteins; enzymes.

Hormones-Elementary idea (excluding structures)

Vitamins : Classificacion and functions.

Nucleic Acids : DNA and RNA.

### Polymers

Classification : Natural and synthetic, methods of polymerization (addition and condensation),

copolymerization. Some important polymers: natural and synthetic like polythene, nylon, polyesters,

bakelite, rubber.

### Chemistry in Evelyday life

1. Chemicals in medicines– analgesics, tranquilizers, antiseptics, disinfectants, antimicrobials, antifertility

drugs, antibiotics, antacids, antihistamines.

2. Chemicals in food preservatives, artificial sweetening agents.

3. Cleansing agents – soaps and detergents, cleansing action.

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## Syllabus of Mathematics Assam CEE 2020

### RELATIONS AND FUNCTIONS

(i) Relations :

Types of relations : (Empty, universal, identity, reflexive, symmetric, antisymmetric and transitive relations

in a set) Equivalence relation and equivalence class in a set.

(ii) Functions :

Types of functions : (injective, surjective and bijective functions) Composition of functions Invertible

function Binary operation.

(iii) Inverse Trigonometrical functions Basic concepts :

(domain, co-domain, range (principal value branches) and graphs of inverse trigonometric functions)

Properties of inverse trigonometric functions.

### ALGEBRA

(i) Matrices Concept of a matrix and its notation and order :

Types of matrices (row, column, square, diagonal, scalar identity and zero matrices) Equality of matrices,

Operation on matrices (addition of matrices, multiplication of a matrix by a scalar, multiplication of

matrices)

Properties of matrix addition, scalar multiplication of a matrix and multiplication of matrices Transpose

of a matrix symmetric and skew symmetric matrices. Elementary row and column operations of a

matrix. Invertible matrices.

(ii) Determinants :

Determinant of a square matrix (up to 3 × 3 matrices), properties of determinants, Area of a trianglee,

Minors and co-factors, Adjoint and inverse of a matrix. Applications of Determinants and matrices.

### CALCULUS

(i) Continuity and Differentiability :

Continuity, differentiability, derivative of composite functions, (chain rule), Derivatives of implicit function,

Exponential and logarithmic functions and its differentiation, Logarithmic differentiation, derivatives

of functions in parametric forms, second order, derivative, Roll’s and Lagrange’s mean value

theorem (without proof) and their geometrical interpretations.

(ii) Application of Derivatives :

Rate of Change of quantities, increasing and decreasing functions, tangents and normals, approximation,

maxima and minima.

(iii) Integrals :

Integration as an inverse process of differentiation. Integration by substitution, Integration using trigonometric

identies. Integration by partial fractions and integration by parts. Evaluation of the integrals

Definite integrals as a limit of a sum. Fundamental Theorem of Calculus (without proof). Basic properties

of definite integrals and evaluation of definite integrals.

(iv) Applications of the Integrals :

Area under simple curves

Area between two curves.

(v) Differential Equations :

Concepts of differential equation, concept of order and degree of a differential equation. General and

particular solutions of a differential equation. Formation of a differential equation whose premitive is

given. Solution of differential equation with variables separable, solution of homogeneous differential

equations of first order and first degree. Solutions of linear differential equation of the type.

+ Py = Q dx dy , where P and Q are constants or functions of x only.

### VECTOR ALGEBRA AND THREE-DIMENSIONAL GEOMETRY

1. Vector Algebra :

Vectors and scalars, magnitude and direction of a vector. Direction cosines/ ratios of vectors. Types of

vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector,

components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a

point dividing a line segment in a given ratio. Scalar (dot) product of vectors, projection of a vector on

a line. Vector (cross) product of vectors.

2. Three-dimensional Geometry :

Direction cosines/ ratios of a line joining two points. Cartesian and vectors equation of a line, coplanar

and skew lines, shortest distance between two lines. Cartesian and vector equation of a plane. Angle

between (i) two lines, (ii) two planes, (iii) a line and a plane. Distance of a point from a plane.

### LINEAR PROGRAMMING

Introduction, related terminology such as constraints, objective function, optimization, different types

of linear programming (L.P.) problems, mathematical formulation of L.P. problems, graphical method

of solution for problems in two variables, feasible and infeasible regions, feasible and infeasible solutions,

optimal feasible solutions (up to three non-trivial constraints).

### PROBABILITY

Multiplication theorem on probability. Conditional probability, independent events, total probability, Baye’s

theorem. Random variable and its probability distribution, mean and variance of random variable.

Repeated independent (Bernoulli) trials and Binomial distribution

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