JKCET

Physical World, Units and Measurement (Class 11)

SI units, dimensional analysis, error propagation, significant figures.

Kinematics (Class 11)

Motion in a straight line and plane, projectile motion, relative velocity.

Laws of Motion (Class 11)

Newton's laws, friction, free-body diagrams, dynamics on inclines.

Work, Energy and Power (Class 11)

Work-energy theorem, conservative forces, potential energy, collisions.

System of Particles and Rotational Motion (Class 11)

Centre of mass, moment of inertia, torque, angular momentum, rolling motion.

Gravitation (Class 11)

Kepler's laws, gravitational potential, escape velocity, orbital motion, satellites.

Mechanical Properties of Solids and Fluids (Class 11)

Stress, strain, elastic moduli, Bernoulli's principle, viscosity, surface tension.

Thermal Properties of Matter (Class 11)

Thermal expansion, calorimetry, heat transfer, Newton's law of cooling.

Thermodynamics (Class 11)

Zeroth, first and second laws; PV diagrams; heat engines and refrigerators.

Kinetic Theory of Gases (Class 11)

Ideal gas equation, RMS speed, degrees of freedom, mean free path.

Oscillations (Class 11)

Simple harmonic motion, energy in SHM, simple and compound pendulum.

Waves (Class 11)

Wave equation, superposition, beats, standing waves, Doppler effect.

Electrostatics (Class 12)

Coulomb's law, electric field and potential, Gauss's law, dielectrics.

Capacitance (Class 12)

Capacitors in series and parallel, energy stored, dielectric insertion.

Current Electricity (Class 12)

Ohm's law, Kirchhoff's laws, Wheatstone bridge, potentiometer, drift velocity.

Magnetic Effects of Current (Class 12)

Biot-Savart law, Ampere's law, force on charged particle, cyclotron, solenoid.

Magnetism and Matter (Class 12)

Bar magnet, Earth's magnetism, dia/para/ferromagnetism.

Electromagnetic Induction (Class 12)

Faraday's and Lenz's laws, self/mutual inductance, AC generator, eddy currents.

Alternating Current (Class 12)

RMS values, RLC circuits, resonance, power factor, transformer.

Electromagnetic Waves (Class 12)

Maxwell's equations, EM spectrum, displacement current.

Ray Optics (Class 12)

Reflection, refraction, lenses, prism, optical instruments.

Wave Optics (Class 12)

Huygens principle, interference (Young's double slit), diffraction, polarisation.

Dual Nature of Radiation and Matter (Class 12)

Photoelectric effect, Einstein's equation, de Broglie wavelength.

Atoms and Nuclei (Class 12)

Rutherford and Bohr models, hydrogen spectrum, mass defect, fission, fusion, decay.

Semiconductor Electronics (Class 12)

P-N junction, diodes, rectifiers, BJT, logic gates, Zener diode.

Communication Systems (Class 12)

Modulation (AM/FM), bandwidth, ground/sky/space wave propagation.

Some Basic Concepts of Chemistry (Class 11)

Mole concept, stoichiometry, empirical and molecular formula, limiting reagent.

Structure of Atom (Class 11)

Bohr model, quantum numbers, orbital shapes, Aufbau principle.

Classification of Elements and Periodicity (Class 11)

Modern periodic law, periodic trends in atomic radius, IE, EA, EN.

Chemical Bonding and Molecular Structure (Class 11)

Ionic, covalent, coordinate bonds; VSEPR; hybridization; MOT.

States of Matter (Class 11)

Gas laws, ideal vs real gases, van der Waals equation, liquid state.

Chemical Thermodynamics (Class 11)

First law, enthalpy, entropy, Gibbs energy, spontaneity.

Equilibrium (Class 11)

Chemical equilibrium, Kc/Kp, ionic equilibrium, pH, buffer, solubility product.

Redox Reactions (Class 11)

Oxidation numbers, balancing redox equations, redox titrations.

Hydrogen (Class 11)

Position of hydrogen, dihydrogen, hydrides, water, hydrogen peroxide.

s-Block Elements (Class 11)

Alkali and alkaline earth metals, diagonal relationships, important compounds.

p-Block Elements (Class 11 — Groups 13 and 14)

Boron family and carbon family — properties and important compounds.

Basic Principles of Organic Chemistry (Class 11)

IUPAC nomenclature, isomerism, electron displacement effects, mechanisms.

Hydrocarbons (Class 11)

Alkanes, alkenes, alkynes, aromatic hydrocarbons; preparation and reactions.

Environmental Chemistry (Class 11)

Air, water, soil pollution, green chemistry.

Solid State (Class 12)

Crystalline vs amorphous, unit cell, packing efficiency, point defects.

Solutions (Class 12)

Concentration units, Raoult's law, colligative properties, van't Hoff factor.

Electrochemistry (Class 12)

Galvanic and electrolytic cells, Nernst equation, conductance, batteries.

Chemical Kinetics (Class 12)

Rate laws, order, molecularity, integrated rate equations, Arrhenius equation.

Surface Chemistry (Class 12)

Adsorption, catalysis, colloids, emulsions, gels.

Isolation of Elements (Class 12)

Concentration of ores, reduction methods, refining.

p-Block Elements (Class 12 — Groups 15 to 18)

Nitrogen, oxygen, halogen and noble gas families.

d- and f-Block Elements (Class 12)

Transition metals, lanthanoids, actinoids — properties and oxidation states.

Coordination Compounds (Class 12)

Werner's theory, IUPAC nomenclature, isomerism, VBT, CFT, applications.

Haloalkanes and Haloarenes (Class 12)

Nomenclature, SN1/SN2 mechanisms, elimination reactions.

Alcohols, Phenols and Ethers (Class 12)

Preparation, properties, mechanism of dehydration.

Aldehydes, Ketones and Carboxylic Acids (Class 12)

Nucleophilic addition, aldol, Cannizzaro, acidity of carboxylic acids.

Organic Compounds with Nitrogen (Class 12)

Amines, diazonium salts, cyanides, isocyanides, Hofmann bromamide.

Biomolecules (Class 12)

Carbohydrates, proteins, enzymes, vitamins, nucleic acids, hormones.

Polymers (Class 12)

Classification, addition vs condensation polymerisation, biodegradable polymers.

Chemistry in Everyday Life (Class 12)

Drugs, antiseptics, antibiotics, soaps and detergents, food preservatives.

Sets, Relations and Functions (Class 11)

Set operations, types of relations, domain/range, composite and inverse functions.

Trigonometric Functions (Class 11)

Trigonometric identities, equations, sum/difference and multiple-angle formulas.

Complex Numbers and Quadratic Equations (Class 11)

Argand plane, modulus, argument, polar form, De Moivre's theorem.

Linear Inequalities (Class 11)

Algebraic and graphical solution of linear inequalities.

Permutations and Combinations (Class 11)

Fundamental counting principle, nPr, nCr, circular arrangements.

Binomial Theorem (Class 11)

Expansion for positive integral index, general and middle terms.

Sequences and Series (Class 11)

AP, GP, HP, AGP, sum of special series.

Straight Lines (Class 11)

Slope, line equation forms, distance from a point, angle between lines.

Conic Sections (Class 11)

Circle, parabola, ellipse, hyperbola — standard equations and properties.

Introduction to 3D Geometry (Class 11)

Coordinates in 3D, distance and section formula.

Limits and Derivatives (Class 11)

Limit definitions, standard limits, derivative as limit, basic differentiation rules.

Statistics (Class 11)

Mean deviation, variance, standard deviation, coefficient of variation.

Probability (Class 11)

Sample space, events, axiomatic probability.

Relations and Functions (Class 12)

Types of functions, composition, invertibility, binary operations.

Inverse Trigonometric Functions (Class 12)

Domain, range, principal values, identities.

Matrices (Class 12)

Types, operations, transpose, symmetric/skew, elementary transformations.

Determinants (Class 12)

Properties, minors, cofactors, area of triangle, adjoint, inverse, system of equations.

Continuity and Differentiability (Class 12)

Continuity, differentiability, chain rule, implicit and parametric differentiation.

Applications of Derivatives (Class 12)

Rate of change, tangent and normal, monotonicity, maxima/minima, approximations.

Integrals (Class 12)

Indefinite integrals, by-parts, substitution, partial fractions, definite integrals.

Applications of Integrals (Class 12)

Area under curves, area between curves.

Differential Equations (Class 12)

Order, degree, formation, variable separable, linear and homogeneous DEs.

Vector Algebra (Class 12)

Vectors in 2D/3D, dot and cross products, scalar triple product.

Three-Dimensional Geometry (Class 12)

Direction cosines/ratios, lines, planes, angle between lines and planes.

Linear Programming (Class 12)

LPP formulation, graphical method, feasible region, optimal solutions.

Probability (Class 12)

Conditional probability, Bayes' theorem, random variables, binomial distribution.