JKCET Syllabus & Exam Pattern 2022 - Download Syllabus for B.E & B.Tech Courses Here!

S. No.

Topic

1

Physical World And Measurement

Physics- Scope & excitement, Physics in relation to Science, society & technology, need for measurement, units of measurements, a system of units, S.I. units, Accuracy and precision of measuring instruments, Errors in measurement, Significant figures. Dimensions of Physical quantities, dimensional analysis and its applications.

2

Kinematics 

Motion in a straight line: Position-time graph, speed and velocity. Elementary concepts of differentiation and integration for describing motion. Uniform and non-uniform motion, average speed and instantaneous velocity. Scalar and Vector products of two vectors with properties, Unit Vector, Resolution of a Vector in plane rectangular components, scalar & vector product of two vectors & their properties, Motion in a plane, Projectile Motion.

3

Laws of Motion

Concept of force and Inertia, Newton’s First Law of motion; Momentum and 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. Friction, static and kinetic friction, laws of friction, rolling friction.

4

Work, Energy, and Power

Concept of scalar products of vectors, Work done by a constant force and variable force; kinetic energy, work-energy theorem, power. Potential energy, Potential energy of spring, conservative forces, conservation of mechanical energy (K.E. and P.E.), non-conservative forces; Elastic and inelastic collisions in one and two dimensions

5

Motion Of System Of Particles And Rigid Body

Centre of mass of a two-particle system, Centre of mass of a rigid body, center of mass of circular ring. disc. rod or sphere, Concepts of the vector product of vectors: the moment of a force, torque, angular momentum, conservation of angular momentum with some examples. Moment of inertia, the radius of gyration. Rigid body rotation and equations of rotational motion.

6

Gravitation

The universal law of gravitation, Acceleration due to gravity and its variation with altitude, depth and shape, Kepler’s laws of planetary motion. Gravitational potential; gravitational potential energy, Escape velocity, Orbital velocity of the satellite. Geostationary satellites, inertial & gravitational mass.

7

Properties of Bulk Matter

Elastic behavior, Stress-strain relationship. Hooke’s Law, Young’s modulus, bulk modulus, and shear modulus of rigidity. Bernoulli’s theorem and its applications Surface energy and surface tension, angle of contact, applications of surface tension – ideas to drops, bubbles and capillary rise, the action of detergents, Heat, temperature, thermal expansion; specific heat, calorimetry; change of state-latent heat. Heat transfer-conduction, convection and radiation, thermal conductivity, Newton’s law of cooling.

8

Thermodynamics 

Thermal equilibrium and definition of temperature (zeroth law of thermodynamics),.Heat work and internal energy. The first law of thermodynamics. The second law of thermodynamics: reversible and irreversible processes. Heat engines and refrigerators (concept only)

9

Behavior Of Perfect Gas And Kinetic Theory 

Equation of state of a perfect gas, work done on compressing a gas. Kinetic theory of gasses – assumptions, the concept of pressure. Expression for pressure exerted by gas, Kinetic energy and temperature: RMS speed of gas molecules; Degrees of freedom, Law of equipartition of energy (Statement only) and applications to specific heat capacities of gasses; the concept of Mean free path, Avagadro’s number. 

10

Oscillation 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( qualitative ideas only), resonance. 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.

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 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). Conductors and insulators, free charges & bound charges inside a conductor, Dielectrics and electric polarization, capacitor and capacitance, the combination of capacitors in series and in parallel, the capacitance of parallel plate capacitor with and without dielectric medium between the plates, Energy stored in a capacitor. Van de Graff generator.

12

Current Electricity

Electric current, the flow of electric charges in a metallic conductor, Drift velocity, mobility & their relation with electric current, Ohm’s law, Electrical resistance, V-I characteristics (linear & non-linear), Electrical energy and power, Electrical resistivity and conductivity, Carbon resistors, Colour code for carbon resistors; Temperature dependence of resistance, Internal resistance of a cell, potential difference and e.m.f of a cell, the combination of cells in series and in parallel, elementary idea of secondary cells, Kirchhoff’s laws and their applications.

13

Magnetic Effects of Current and Magnetism

Concept of the magnetic field, Oersted experiment, Biot – Savart law and its application to the current carrying circular loop. Ampere’s law and its applications to infinitely long current carrying straight wire, straight and toroidal solenoids. Torque experienced by a current loop in the uniform magnetic field; Moving coil galvanometer, its current sensitivity, and conversion with examples. Earth’s magnetic field and magnetic elements, Para-, dia- and ferromagnetic substances with examples. Electromagnets and factors affecting their strength, permanent magnets. 

14

Electromagnetic Induction and Alt 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; LC oscillations (qualitative treatment only) & LCR circuits series, resonance; power in AC circuits, wattles current. AC generators and transformers. 

15

Electromagnetic Waves

Electromagnetic waves and their characteristics, Transverse nature of electromagnetic waves. Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet, X Rays, gamma rays) including elementary facts about their uses. 

16

Optics 

Ray optics-Reflection of light, spherical mirrors, mirror formula, refraction of light-Total internal reflection and its applications, optical fibers, Refraction at spherical surfaces, lenses, thin lens formula, Lens-makers Formula, Newton relation: displacement method to find the position of images (conjugate points), Magnification, Power of a Lens. Interferences, 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 polarized light; Brewster’s law, uses of plane polarized light, and Polaroid’s. 

17

Dual Nature and Matter of Radiation

Dual nature of 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. Davission-Germer experiment

18

Atoms and Nuclei

Alpha-particle scattering experiment; Rutherford’s model of atom; Bohr’s model of the atom, energy levels, hydrogen spectrum, continuous & characteristics of X-rays, 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. 

19

Electronic Devices 

Quantitative ideas on Energy bands in solids, conductors, insulators, and semiconductors. Semiconductors; Zener diode as a voltage regulator. Junction transistor and its action, characteristics of a transistor; transistor as an amplifier (common emitter configuration) and oscillator. Logic gates (OR, AND, NOT) concept of NAND and NOR gates. Transistor as a switch.

20

Communication System

Basic elements of the 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.

S. No.

Topic

1

Chemical Arithmetic & Atomic Structure

Laws of chemical combination, Mole concept (numerical) Percentage composition, Chemical reactions, Stoichiometry and calculations based on stoichiometry. Atomic structure:- Bohr’s model of the Hydrogen atom, Quantum numbers, Pauli’s exclusion principle, Hund’s rule and Aufbau principle. Heisenberg’s uncertainty principle, de-Broglie wave equation and its significance, electronic configurations of atoms. 

2

Chemical Equilibrium

Law of mass action, Le-Chatelier’s principle, and its application to physical and chemical equilibria. The ionization of weak electrolytes (Ostwald’s dilution law), equilibrium constant, Acids and bases: Acid-base equilibria. Bronsted-Lowry and Lewis's concept of acids and bases. Ionic product of water. pH and pOH scales, pKa&pKb values, Solubility product, Buffer solutions Common ion effect, Hydrolysis of salts

3

Chemical Kinetics 

Rate of chemical reaction, Average and instantaneous rate, Factors affecting rate of reaction, Order and molecularity of reaction, Integrated rate equation and Half-life period (for zero and first order) reaction, Activation energy and Arrhenius equation.

4

Solutions 

Vapor pressure, Raoult’s law, Ideal and Non-ideal solutions, Colligative properties. Determination of the molecular mass of non-volatile solutes through colligative properties. Abnormal molecular masses and Van’t Hoff Factor, expression of concentration of solutions.

5

Chemistry Thermodynamics

Energy changes taking place during chemical reactions, Internal Energy and Enthalpy changes, Enthalpy of combustion, Solution and Neutralization, and formation and hydration. Hess’s Law (Numerical problems) Laws of thermodynamics-first, second & third, Concepts of Entropy and Free energy, Spontaneity of a chemical reaction.

6

Redox Reaction and Electrochemistry

Dependence of the electrode and cell potential on concentration (Nernst Equation), Electrode potential as a criterion for product formation in electrolysis. E.M.F. of Galvanic cell, Relationship between free energy change and E.M.F. of a cell. Definition and units of Equivalent, Molar and Specific conductivity. 

7

Solid State and State of Matter

Boyle’s Law, Charle’s law, Dalton’s law of partial pressure, Graham’s law of diffusion of gasses, Avogadro law. Crystalline and amorphous solids, Crystal lattice, Crystal types, Packing efficiency, calculation of density of unit cell, Number of atoms per unit cell in a cubic cell. Coordination number, Stoichiometric defects: Schottky, Frenkel and interstitial.

8

Surface Chemistry

Freundlich Adsorption isotherm, preparation of colloidal solutions by physical and chemical method. Electrical properties (cataphoresis, electroosmosis, coagulation and protective colloids) Homogeneous and Heterogeneous Catalysis

9

Periodic Properties

Classification of elements as s, p, d, and f block elements. Variation of Ionization energy, Electron affinity, Electronegativity, Atomic and Ionic radii along the period and down the group in the periodic table.

10

Chemical Bonding And Molecular Structure 

Types of chemical bonds, Ionic & covalent bonds, Bond parameters, Quantum theory of covalent bonds, pi and sigma bonds, Hybridization involving s, p and d-orbitals, Dipole moments and hydrogen bond. VSEPR: Shapes of simple molecules ( H2O, NH3, SO2, CO2, PCl3, PCl5, CIF3, BF3, SF4, XeF2, XeF4). Molecular orbital theory: Energy Levels and M.O. diagrams of H2, H2 +, He2, O2+, O1- 2, O2 2-& F2. Bond order and its significance.

11

Chemistry of Representative Elements

S and P Block Elements, Alkali metals: Hydration of ions, action with ammonia, flame colouration, the solubility of hydroxides, carbonates and sulphates. Boron Family: Structure of halides, relative acid strength of trihalides of boron. Carbon family: Hydrides and oxides. Oxygen family: volatility, thermal stability, acid character, reducing character and bond angles of their hydrides, oxyacids of sulphur. Halogen family: Bond energy, colour and oxidizing power, boiling point, acid strength and dipole moment, thermal stability, reducing the power of hydracids, relative acidity and oxidizing power of oxyacids of halogens.

12

Transition Elements Including Lanthanides

Electron configuration, Oxidation states, Colour, and Magnetic properties of transition elements. Oxides of Vanadium, Chromium, and Manganese Alloys of Copper, Silver, and Iron. Metallurgy of Iron, Copper and Zinc

13

Coordination Chemistry

Introduction, Ligands, Coordination Number, IUPAC Nomenclature. Bonding theories: Werner’s, VBT, and CFT. Isomerism in Coordination compounds (Ionization, Linkage, Hydrate, Geometrical and Optical). Applications of Coordination complexes in Biology, Medicine and Analytical Chemistry. 

14

Nomenclature And Basic Concepts In Organic Chemistry

Nomenclature of organic compounds (monofunctional and polyfunctional groups), inductive, electrometric resonance and hyperconjugation effects, reaction intermediates, carbocations, carbanions and free radicals with their general stability order, types of organic reactions (addition, substitution, elimination, and redox reactions), aromaticity on the basis of Huckel rule. Ortho, meta, and para directing groups., electro & nucleophiles. 

15

Hydrocarbons

Structural isomerism in alkanes, alkenes, alkynes and arenes, stereoisomerism: geometrical and optical isomerism, chirality, the origin of chirality, specific rotation, racemization and resolution, conformations in ethane and cyclohexane, relative configuration (D, LNomenclature), absolute (R and S system of nomenclature).

16

Organic Chemistry Based On Functional Group-I

Haloalkanes, haloarenes, alcohols and phenols: General methods of preparation and properties. Chloroform and Iodoform.

17

Organic Chemistry Based On Functional Group-II

Ethers, Aldehydes, Ketones, Monocarboxylic acids: General methods of preparation and properties. Derivatives of monocarboxylic acids like acid halides, acid anhydrides, acid amides, and esters. The acidic motive of carboxylic acids 

18

Organic Chemistry Based On Functional Group-III

Cyanides, Isocyanides, Nitro Compounds, and Amines: General methods of preparation and properties. The relative basic character of amines. 

19

Molecules of Life

Carbohydrates: Definition, Classification, Mutarotation, Structure of Amino-acids, Peptides, and Proteins (Polish and ninhydrin tests). Classification and uses of vitamins. Chemicals in medicine and health care, Dyes, and drugs. Chemical reactions in the atmosphere, ozone depletion, and its effects. Acid rain, GreenHouse effect & Global warming. 

20

Polymers 

Introduction, Classification, Methods of Polymerisation (Addition, Condensation, Free Radical, Cationic & Anionic). Natural & Synthetic Polymers: Polythene, Nylon, Polyester, Bakelite, and Rubber. Biodegradable and Non-Biodegradable Polymers. 

S. No.

Topic

1

Set, Relations, and Functions

Sets and their representation, finite and infinite sets, empty set subsets, a subset of real numbers especially intervals, power set, universal set.

Relations, Domain, co-domain, and range of a relation, types of relations, reflexive, symmetric, transitive, and equivalence relations. 

Functions as special kinds of relations from one set to another, domain, co-domain, and range of a function. Sum, difference, product, and quotients of functions. Composition of functions, inverse of a function, binary operations.

2

Complex Number; Linear Inequation; Linear Programming

Complex number, Linear in the equation, Linear programming: Introduction, the definition of related terminology such as constraints, objective function, optimization, different type of linear programming problem (L.P), mathematical formulation of L.P problem, graphical method of solution for problems in two variables, feasible and infeasible regions, feasible and infeasible solutions, optimal feasible solutions.

3

Sequence And Series, Permutation And Combination & Binomial Theorem 

Sequence and series: Arithmetic progression (A.P), arithmetic mean (A.M), nth term, sum to n-terms of an A.P, Geometric progression (G.P), Geometric Mean (G.M), nth term, sum to n terms and sum to infinity of a G.P. Relation between A.M and G.M. Sum to n terms of∑ 𝑛, ∑ 𝑛 ଶ𝑎𝑛𝑑 ∑ 𝑛 ଷ. 

Permutation and combination: Fundamental principle of counting, factorial n, permutations P(n,r) and combinations C(n,r), simple applications. 

Binomial Theorem: Binomial theorem for positive integral power general and middle terms in the Binomial expansion. Pascal’s triangle and simple applications. 

4

Trigonometric And Inverse Trigonometry Functions

Positive and negative angles, measuring angles in radians and in degrees, Conversion from one measure to another. Definition of trigonometric functions with the help of unit circle.Periodicity of Trigonometric functions. Basic Trigonometric identities sin2 x+cos2 x=1 for all Signs of x etc. Trigonometric functions and their graphs. Expressions for sin(x y), cos(x y), tan(x y), cot(x y), sum and product formulae. Identities related to Sin2x, Cos2x, tan2x, Sin3x, Cos3x, and tan3x. General and principal solutions of trigonometric equations of the type Sin x= Sin a, Cos x= Cos a, Tan x= Tan a. Inverse trigonometric functions, range, domain, principal value branches. Graphs of inverse trigonometric functions, elementary properties of inverse trigonometric functions

5

Matrices and Determinants

Matrices, concepts, notation, order, equality, types of matrices, Zero matrix, transpose of a matrix, Symmetric and skew-symmetric matrices. Addition, multiplication, scalar multiplication of matrices, simple properties of addition, multiplication, and scalar multiplication of matrices. Concept of elementary row and column operation, Invertible matrices, and uniqueness of inverse, if it exists.(Matrices with real entries). Consistency, inconsistency and number of solutions of a system of linear equations by examples, solving system of linear equations in two or three variables using the inverse of a matrix, Cramer rule & its applications.

6

Limit, Continuity And Differentiation

Concept of the limit of a function. Theorems on Limits, Continuity of a function at a point. Continuity of Sum, product and quotient of functions. Derivative: definition of a derivative of a function, geometrical interpretation of the derivative. Derivative of logarithmic and exponential functions. Logarithmic differentiation. Derivative of functions expressed in parametric forms. Second-order derivatives. Rolle’s and Lagrange’s Mean Value Theorem and their geometrical interpretation and their simple applications. Simple problems

7

Integration And Differential Equations

Definite integrals as a Limit of a sum. Fundamental Theorem of calculus.Basic properties of definite integrals Evaluation of definite integrals. Application of integrals: Application in finding the area under simple curves, especially lines. Areas of circles, parabolas and ellipses (in standard form) Area under the curve y= Sinx, y= Cosx, area between the above two curves. Differential Equations: Definition, order and degree of a differential equation. General and particular solutions of a differential equation. Solution of linear differential equation of the type: ௗ௬ ௗ௫ + 𝑝𝑦 = 𝑞, where p and q are functions of x alone and ௗ௫ ௗ௬ + 𝑝𝑥 = 𝑞, where p and q are functions of y alone.

8

Straight lines and conic lines

Distance between two points, section, slope of a line, angle between two lines, various forms of equations of lines, point-slope form, intercept form, two point form, and normal form. General equation of a line, distance of a point from a line. Conic Section: Sections of a cone, circles, parabola, ellipse, hyperbola, a point, a straight line and a pair of intersecting lines as a degenerate case of conic section. Standard equation of a circle, parabola, ellipse, and hyperbola and their simple properties.

9

Statistics and Probability

Statistics Measure of dispersion, mean, deviation, variance and standard deviation of ungrouped/ grouped data. Analysis of frequency distribution with equal means but different variances. 

Probability: Random Experiment: outcome, sample spaces. Events: Mutually exclusive and exhaustive events. Axiomatic (set theoretic) probability, probability of an event, probability of “Not” and “Or” events. Multiplication theorem on probability, conditional probability, independent events, total probability, Bayes theorem, random variable and its probability, distribution, mean and variance of a random variable. Repeated independent (Bernoulli) trials and Binomial distribution. 

10

Vectors And Three Dimensional Geometry 

Vectors and scalars, magnitude and direction of a vector Direction Cosines and ratios of a vector. Scalar (dot) product of vectors, projection of a vector on a line. Vector (cross) product of vectors, Scalar triple product. Coordinate axes and Coordinate planes in three dimensions of a point, distance between two points and sectional formula. Cartesian and vector equation of a line (in various forms), coplanar and skew-lines, shortest distance between two lines. PLANES Cartesian and vector equation of a plane( in various forms). Distance of a point from a plane. Angle between: i. Two lines ii. Two planes. iii. A line and a plane.

Name of the Stream 

Number of papers

Subjects

No of Questions 

Time Duration

CET (Engineering) 2022

Single 

Physics 

60

3 hours

Chemistry 

60

Mathematics 

60

Subjects

Number of Questions

Marks Per Subject

Mathematics

60

60

Chemistry

60

60

Physics

60

60

Total

180

180

Subjects

Name of Books

Author/Publisher

Physics 

NCERT Physics Books for Class 11 and 12

NCERT

Pradeep’s Fundamental Physics

Pradeep

Mathematics 

Maths 

R. S. Agarwal

NCERT Maths Books for Class 11 and 12

NCERT

Chemistry 

NCERT Chemistry Books for Class 11 and 12

NCERT

Chemistry 

P. Bahadur