MHT-CET

Units and Measurement (Class 11 — ~20% weight)

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

Motion in a Straight Line and Plane (Class 11 — ~20% weight)

1-D and 2-D kinematics, projectile motion, relative velocity, uniform circular motion.

Laws of Motion (Class 11 — ~20% weight)

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

Work, Energy and Power (Class 11 — ~20% weight)

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

Gravitation (Class 11 — ~20% weight)

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

Thermal Properties of Matter (Class 11 — ~20% weight)

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

Thermodynamics — Basics (Class 11 — ~20% weight)

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

Kinetic Theory of Gases (Class 11 — ~20% weight)

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

Oscillations (Class 11 — ~20% weight)

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

Waves (Class 11 — ~20% weight)

Wave equation, superposition, beats, standing waves on strings and pipes.

Rotational Dynamics (Class 12)

Moment of inertia, torque, angular momentum, rolling motion, banking of road.

Mechanical Properties of Solids (Class 12)

Stress, strain, elastic moduli, Poisson's ratio, elastic energy.

Mechanical Properties of Fluids (Class 12)

Viscosity, Stokes' law, Bernoulli's principle, surface tension, Reynolds number.

Thermodynamics (Class 12)

Carnot cycle, entropy, isothermal and adiabatic processes.

Wave Theory of Light

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

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 Electric Current (Class 12)

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

Magnetism and Matter (Class 12)

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

Electromagnetic Induction (Class 12)

Faraday's and Lenz's laws, self and 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.

Dual Nature of Radiation and Matter (Class 12)

Photoelectric effect, Einstein's equation, de Broglie wavelength, Davisson-Germer.

Atoms and Nuclei (Class 12)

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

Semiconductor Electronics (Class 12)

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

Communication Systems (Class 12)

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

Some Basic Concepts of Chemistry (Class 11 — ~20% weight)

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

Structure of Atom (Class 11 — ~20% weight)

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

Periodic Classification (Class 11 — ~20% weight)

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

Chemical Bonding and Molecular Structure (Class 11 — ~20% weight)

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

States of Matter (Class 11 — ~20% weight)

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

Redox Reactions (Class 11 — ~20% weight)

Oxidation numbers, balancing redox equations, redox titrations.

Hydrogen and s-Block Elements (Class 11 — ~20% weight)

Position of hydrogen, alkali and alkaline earth metals, diagonal relationships.

Basic Principles of Organic Chemistry (Class 11 — ~20% weight)

IUPAC nomenclature, isomerism, electron displacement effects, reaction mechanisms.

Hydrocarbons (Class 11 — ~20% weight)

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

Solid State (Class 12)

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

Solutions (Class 12)

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

Electrochemistry (Class 12)

Galvanic and electrolytic cells, Nernst equation, conductance, Kohlrausch's law, batteries.

Chemical Kinetics (Class 12)

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

Surface Chemistry (Class 12)

Adsorption, catalysis, colloids, emulsions, Tyndall effect, gels.

General Principles of Isolation of Elements (Class 12)

Concentration of ores, reduction methods, refining, thermodynamic principles.

p-Block Elements (Class 12)

Group 15 to 18 — preparation, properties, anomalous behavior of first element.

d- and f-Block Elements (Class 12)

Transition metals, lanthanoids, actinoids — properties, oxidation states, complex formation.

Coordination Compounds (Class 12)

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

Haloalkanes and Haloarenes (Class 12)

Nomenclature, SN1/SN2 mechanisms, elimination, polyhalogen compounds.

Alcohols, Phenols and Ethers (Class 12)

Preparation, physical and chemical properties, mechanism of dehydration.

Aldehydes, Ketones and Carboxylic Acids (Class 12)

Nucleophilic addition, oxidation, Aldol and Cannizzaro reactions, acidity of carboxylic acids.

Organic Compounds Containing Nitrogen (Class 12)

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

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 — ~20% weight)

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

Trigonometric Functions (Class 11 — ~20% weight)

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

Complex Numbers and Quadratic Equations (Class 11 — ~20% weight)

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

Linear Inequalities (Class 11 — ~20% weight)

Algebraic and graphical solution of linear inequalities in one and two variables.

Permutations and Combinations (Class 11 — ~20% weight)

Fundamental counting principle, nPr, nCr, circular and restricted arrangements.

Binomial Theorem (Class 11 — ~20% weight)

Expansion for positive integral index, general and middle terms, applications.

Sequences and Series (Class 11 — ~20% weight)

AP, GP, HP, arithmetic-geometric series, sum of special series.

Straight Lines (Class 11 — ~20% weight)

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

Conic Sections (Class 11 — ~20% weight)

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

Introduction to Three-Dimensional Geometry (Class 11 — ~20% weight)

Coordinates in 3D space, distance and section formula.

Limits and Derivatives (Class 11 — ~20% weight)

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

Statistics (Class 11 — ~20% weight)

Measures of dispersion — mean deviation, variance, standard deviation, coefficient of variation.

Relations and Functions (Class 12)

Types of functions, composition, invertibility, binary operations.

Inverse Trigonometric Functions (Class 12)

Domain, range, principal values, properties and identities.

Matrices (Class 12)

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

Determinants (Class 12)

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

Continuity and Differentiability (Class 12)

Continuity tests, differentiability, chain rule, implicit and parametric differentiation, Rolle's and MVT.

Applications of Derivatives (Class 12)

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

Integrals (Class 12)

Indefinite integrals, integration by substitution/parts/partial fractions, definite integrals, properties.

Applications of Integrals (Class 12)

Area under curves, area between curves, area bounded by lines and conics.

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, projections.

Three-Dimensional Geometry (Class 12)

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

Linear Programming (Class 12)

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

Probability (Class 12)

Conditional probability, Bayes' theorem, random variables, Bernoulli and binomial distributions.

Mathematical Logic (Class 12 — Maharashtra Board)

Statements, logical connectives, truth tables, tautology and contradiction.

Diversity in Living Organisms (Class 11 — ~20% weight)

Taxonomy, five-kingdom classification, plant and animal kingdom basics.

Kingdom Plantae and Animalia (Class 11 — ~20% weight)

Algae, bryophytes, pteridophytes, gymnosperms, angiosperms; non-chordates and chordates.

Biomolecules (Class 11 — ~20% weight)

Carbohydrates, proteins, lipids, nucleic acids, enzymes.

Cell Structure and Organisation (Class 11 — ~20% weight)

Cell theory, prokaryotes vs eukaryotes, cell organelles, cell division.

Respiration and Energy Transfer (Class 11 — ~20% weight)

Glycolysis, Krebs cycle, ETS, fermentation, ATP yield.

Photosynthesis (Class 11 — ~20% weight)

Light and dark reactions, C3/C4/CAM pathways, photorespiration.

Human Nutrition (Class 11 — ~20% weight)

Digestive system, digestion of carbs/proteins/fats, absorption, balanced diet.

Excretion and Osmoregulation (Class 11 — ~20% weight)

Modes of excretion, structure of nephron, urine formation, dialysis.

Origin and Evolution of Life (Class 11 — ~20% weight)

Theories of origin, evolutionary evidence, Darwinism, Hardy-Weinberg principle.

Plant Growth and Development (Class 11 — ~20% weight)

Phases of growth, plant hormones, photoperiodism, vernalization.

Reproduction in Lower and Higher Plants (Class 12)

Asexual and sexual reproduction, microsporogenesis, megasporogenesis, double fertilization.

Reproduction in Lower and Higher Animals (Class 12)

Modes of reproduction, human reproductive system, gametogenesis, menstrual cycle, embryogenesis.

Reproductive Health (Class 12)

Population control, contraception, STDs, infertility, ART, MTP.

Inheritance and Variation (Genetics) (Class 12)

Mendel's laws, sex determination, mutations, pedigree analysis, chromosomal theory.

Molecular Basis of Inheritance (Class 12)

DNA structure, replication, transcription, translation, genetic code, lac operon, human genome.

Origin and Evolution (Class 12)

Evidence of evolution, mechanisms, speciation, human evolution.

Human Health and Disease (Class 12)

Pathogens, immunity, AIDS, cancer, drug abuse, vaccines.

Enhancement in Food Production (Class 12)

Plant breeding, tissue culture, animal husbandry, single cell protein, biofortification.

Microbes in Human Welfare (Class 12)

Microbes in industry, food, sewage treatment, biogas, biocontrol agents.

Biotechnology — Principles and Processes (Class 12)

Genetic engineering, restriction enzymes, vectors, PCR, gel electrophoresis, bioreactors.

Biotechnology and its Applications (Class 12)

Transgenic plants and animals, recombinant insulin, gene therapy, GMO ethics, RNAi.

Organisms and Populations (Class 12)

Ecological niche, abiotic factors, population attributes, growth models, interactions.

Ecosystems and Energy Flow (Class 12)

Productivity, food chains, trophic levels, biogeochemical cycles, ecological pyramids.

Biodiversity and Conservation (Class 12)

Levels of biodiversity, hotspots, extinction, protected areas, in-situ and ex-situ conservation.

Environmental Issues (Class 12)

Pollution (air, water, soil), greenhouse effect, ozone depletion, deforestation, e-waste.

Control and Coordination (Class 12)

Nervous system, reflex action, brain structure, endocrine glands, hormonal regulation.

Animal Husbandry (Class 12)

Cattle, poultry, fisheries, apiculture, breeding programmes.