GUJCET

Electric Charge and Electric Field

Conservation and quantisation of charge, Coulomb's law, electric field due to point charges and dipoles, Gauss's law and applications.

Electrostatic Potential and Capacitance

Potential due to point charge and dipole, equipotential surfaces, capacitors in series and parallel, dielectrics, energy stored in a capacitor.

Current Electricity

Drift velocity, Ohm's law, resistivity, temperature dependence, Kirchhoff's laws, Wheatstone bridge, potentiometer, internal resistance.

Magnetic Effect of Electric Current

Biot-Savart law, magnetic field due to current loops and solenoids, Ampere's law, force on a moving charge, moving coil galvanometer.

Magnetism and Matter

Bar magnet as an equivalent solenoid, magnetic dipole, Earth's magnetism, dia-, para- and ferromagnetism, hysteresis.

Electromagnetic Induction

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

Alternating Current

AC voltage applied to resistor, inductor and capacitor; LCR series circuit; resonance; power in AC circuits; transformers.

Electromagnetic Waves

Displacement current, Maxwell's equations qualitatively, properties of EM waves, electromagnetic spectrum and uses.

Ray Optics and Optical Instruments

Reflection and refraction, total internal reflection, refraction at spherical surfaces, lenses, optical instruments — microscope and telescope.

Wave Optics

Huygens' principle, interference and Young's double-slit experiment, diffraction at single slit, polarisation by reflection.

Dual Nature of Radiation and Matter

Photoelectric effect, Einstein's photoelectric equation, particle nature of light, de Broglie wavelength, Davisson-Germer experiment.

Atoms

Alpha-particle scattering, Rutherford and Bohr models of atom, hydrogen spectrum, energy level diagrams.

Nucleus

Composition and size of nucleus, mass-energy relation, mass defect, binding energy per nucleon, radioactivity, nuclear fission and fusion.

Semiconductor Electronics

Energy bands in solids, intrinsic and extrinsic semiconductors, p-n junction, diodes, rectifier action, special-purpose diodes, transistors and logic gates.

Communication System

Elements of a communication system, bandwidth, propagation of EM waves in atmosphere, modulation — amplitude and frequency.

Solid State

Classification of solids, unit cells in two and three dimensional lattices, packing efficiency, density of cubic crystals, defects, electrical and magnetic properties.

Solutions

Types of solutions, expression of concentration, solubility, vapour pressure, Raoult's law, colligative properties, abnormal molar mass, van't Hoff factor.

Electrochemistry

Redox reactions, conductance in electrolytic solutions, electrochemical cells, EMF, Nernst equation, Kohlrausch's law, batteries, fuel cells, corrosion.

Chemical Kinetics

Rate of reaction, factors affecting rate, order and molecularity, integrated rate equations, half-life, Arrhenius equation, collision theory.

Surface Chemistry

Adsorption and absorption, types of adsorption, catalysis, colloids, emulsions, micelles, properties of colloids.

General Principles and Processes of Isolation of Elements

Occurrence and principles of extraction of metals, refining methods, metallurgy of aluminium, copper, zinc and iron.

p-Block Elements (Group 15-18)

Group 15 (nitrogen family), 16 (oxygen family), 17 (halogens) and 18 (noble gases) — properties, anomalous behaviour, important compounds.

d- and f-Block Elements

Transition elements, oxidation states, magnetic and catalytic properties, lanthanoid contraction, actinoids, important compounds.

Coordination Compounds (Complex Salts)

Werner's theory, ligands, coordination number, IUPAC nomenclature, isomerism, valence bond and crystal field theories, importance in biology and industry.

Haloalkanes and Haloarenes

Nomenclature, methods of preparation, physical and chemical properties, mechanisms of nucleophilic substitution and elimination, polyhalogen compounds.

Alcohols, Phenols and Ethers

Preparation and properties of alcohols, phenols and ethers; commercially important alcohols and phenols.

Aldehydes and Ketones

Nomenclature, preparation, physical and chemical properties of aldehydes and ketones; nucleophilic addition reactions.

Ketones and Carboxylic Acids

Acidity of carboxylic acids, methods of preparation, properties, important reactions and uses.

Organic Compounds Containing Nitrogen

Amines, classification, structure, preparation, properties; diazonium salts and their uses; cyanides and isocyanides.

Biomolecules

Carbohydrates, proteins, enzymes, vitamins, nucleic acids — structure and biological importance.

Polymers

Classification of polymers, methods of polymerisation, important natural and synthetic polymers, biodegradable polymers.

Chemistry in Everyday Life

Drugs and their classification, chemicals in food, cleansing agents — soaps and detergents.

Complex Numbers

Algebra of complex numbers, modulus, argument, polar form, square roots and properties, geometric representation.

Theory of Equations

Polynomial equations, relation between roots and coefficients, nature of roots, transformation of equations.

Sets, Relations and Functions

Types of relations and functions, equivalence relations, composition and inverse of functions, binary operations.

Permutation and Combination

Fundamental principle of counting, factorial, nPr and nCr, applications in selection and arrangement problems.

Matrices and Determinants

Types of matrices, operations, transpose, determinants up to order 3, properties, adjoint and inverse, system of linear equations by matrix method.

Limit

Limit of a function, algebra of limits, standard limits, limits at infinity and infinite limits.

Indefinite Integration

Integration as inverse of differentiation, methods of substitution, by parts and partial fractions, standard integrals.

Definite Integration

Definite integral as a limit of a sum, fundamental theorem of calculus, properties, evaluation and area as definite integral.

Vectors

Vectors and scalars, addition, scalar and vector products, scalar triple product, applications to geometry.

Three Dimensional Geometry

Direction cosines and ratios, equations of a line and a plane, angle between lines, distance from a point to a plane.

Probability

Conditional probability, multiplication theorem, independent events, Bayes' theorem, random variables and Bernoulli trials.