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Higher Secondary Education

For students pursuing the PCM (Physics, Chemistry, Mathematics) stream, particularly in Class 11 and 12, the subjects become more specialized and in-depth. Here’s a detailed overview of each subject in the PCM stream:

📘 Physics

Class 11:

Physical World and Measurement:
  • Nature of Physical World: Basic concepts, scope, and excitement of physics.
  • Units and Measurements: SI units, dimensional analysis, accuracy, and precision.
Kinematics:
  • Motion in One Dimension: Speed, velocity, acceleration, and equations of motion.
  • Motion in Two Dimensions: Projectile motion, circular motion, and relative velocity.
Laws of Motion:
  • Newton’s Laws of Motion: Understanding the laws and their applications.
  • Friction: Types of friction, laws of friction, and frictional force.
Work, Energy, and Power:
  • Work: Definition, work done by a force, and work-energy theorem.
  • Energy: Types of energy, conservation of energy, and power.
Motion of System of Particles and Rigid Body:
  • Center of Mass: Definition, motion, and application.
  • Rotational Motion: Torque, angular momentum, and rotational dynamics.
Gravitation:
  • Universal Law of Gravitation: Law, gravitational constant, and acceleration due to gravity.
  • Kepler’s Laws: Orbital motion and satellite dynamics.
Properties of Bulk Matter:
  • Mechanical Properties: Stress, strain, Young’s modulus, and elastic behavior.
  • Thermal Properties: Heat, specific heat, and thermal expansion.
Thermodynamics:
  • Laws of Thermodynamics: Zeroth, first, and second laws, heat engines, and entropy.
Behaviour of Perfect Gas and Kinetic Theory:
  • Kinetic Theory of Gases: Assumptions, gas laws, and molecular speed.
Oscillations and Waves:
  • Oscillations: Simple harmonic motion, damping, and resonance.
  • Waves: Types of waves, wave equation, and sound waves.

Class 12:

Electrostatics:
  • Electric Charges: Coulomb’s law, electric field, and potential.
  • Capacitors: Capacitance, capacitors in series and parallel, and energy stored in a capacitor.
Current Electricity:
  • Ohm’s Law: Resistance, resistivity, and circuits.
  • Electrical Circuits: Series and parallel circuits, Kirchhoff’s laws.
Magnetic Effects of Current and Magnetism:
  • Magnetic Field: Sources, magnetic field due to current, and Ampere’s law.
  • Electromagnetic Induction: Faraday’s laws, Lenz’s law, and self-inductance.
Electromagnetic Waves:
  • Electromagnetic Spectrum: Properties, applications, and wave equation.
  • Wave Optics: Interference, diffraction, and polarization.
Optics:
  • Ray Optics: Reflection, refraction, lenses, and mirrors.
  • Optical Instruments: Microscopes and telescopes.
Dual Nature of Matter and Radiation:
  • Photoelectric Effect: Einstein’s photoelectric equation and wave-particle duality.
  • De Broglie Hypothesis: Matter waves and their properties.
Atoms and Nuclei:
  • Atomic Models: Rutherford’s, Bohr’s models, and nuclear physics.
  • Radioactivity: Types, decay laws, and applications.
Electronic Devices:
  • Semiconductors: PN junction, diodes, transistors, and applications.

⚗️ Chemistry

Class 11:

Some Basic Concepts of Chemistry:
  • Matter and Its Classification: Elements, compounds, and mixtures.
  • Mole Concept: Avogadro’s number, mole calculations, and stoichiometry.
Structure of Atom:
  • Atomic Models: Dalton’s theory, Bohr’s model, and quantum mechanical model.
  • Subatomic Particles: Protons, neutrons, electrons, and their properties.
Classification of Elements and Periodicity in Properties:
  • Periodic Table: Modern periodic law, periodic trends, and groups.
Chemical Bonding and Molecular Structure:
  • Types of Bonds: Ionic, covalent, and metallic bonding.
  • Molecular Geometry: VSEPR theory, hybridization, and bonding theories.
States of Matter:
  • Gaseous State: Gas laws, kinetic theory, and real gases.
  • Liquid and Solid States: Properties, phase changes, and intermolecular forces.
Thermodynamics:
  • Thermodynamic Laws: Enthalpy, entropy, and Gibbs free energy.
Equilibrium:
  • Chemical Equilibrium: Le Chatelier’s principle, equilibrium constant, and applications.
Redox Reactions:
  • Oxidation-Reduction: Redox reactions, balancing redox equations, and electrochemical cells.
Hydrogen:
  • Properties and Compounds: Hydrogen, its properties, and hydrogen compounds.
s-Block Element (Alkali and Alkaline Earth Metals):
  • Properties and Reactions: Characteristics of s-block elements and their compounds.
Some p-Block Elements:
  • Properties and Reactions: Study of p-block elements and their compounds.
Organic Chemistry – Some Basic Principles and Techniques:
  • Organic Compounds: Nomenclature, isomerism, and reaction mechanisms.
Environmental Chemistry:
  • Environmental Issues: Pollution, greenhouse gases, and waste management.

Class 12:

Solid State:
  • Properties and Classification: Types of solids, unit cells, and crystal lattices.
Solutions:
  • Concentration Terms: Molarity, molality, and solution preparation.
  • Colligative Properties: Boiling point elevation, freezing point depression.
Electrochemistry:
  • Electrochemical Cells: Galvanic cells, electrolysis, and electroplating.
Chemical Kinetics:
  • Rate of Reactions: Rate laws, activation energy, and reaction mechanisms.
Surface Chemistry:
  • Adsorption and Catalysis: Types of adsorption, catalysts, and applications.
General Principles and Processes of Isolation of Elements:
  • Metallurgy: Extraction of metals, reduction methods, and refining.
p-Block Elements:
  • Detailed Study: Properties, reactions, and applications of p-block elements.
d and f Block Elements:
  • Transition Metals: Properties, uses, and compounds of d-block elements.
  • Lanthanides and Actinides: Properties and uses of f-block elements.
Coordination Compounds:
  • Coordination Chemistry: Ligands, coordination number, and isomerism.
Haloalkanes and Haloarenes:
  • Properties and Reactions: Preparation and reactions of haloalkanes and haloarenes.
Alcohols, Phenols, and Ethers:
  • Properties and Reactions: Types, synthesis, and reactions of alcohols, phenols, and ethers.
Aldehydes, Ketones, and Carboxylic Acids:
  • Functional Groups: Properties, reactions, and applications of aldehydes, ketones, and carboxylic acids.
Organic Compounds Containing Nitrogen:
  • Nitrogen Compounds: Amines, nitriles, and their reactions.
Biomolecules:
  • Macromolecules: Carbohydrates, proteins, and nucleic acids.
Polymers:
  • Types and Properties: Classification of polymers, their synthesis, and applications.
Chemistry in Everyday Life:
  • Applications: Role of chemistry in medicine, food, and household products.

📐 Mathematics

Class 11:

Sets and Functions:
  • Sets: Operations, Venn diagrams, and types of sets.
  • Functions: Types of functions, domain, range, and composite functions.
Trigonometry:
  • Trigonometric Functions: Definitions, identities, and equations.
  • Applications: Heights, distances, and solving triangles.
Complex Numbers and Quadratic Equations:
  • Complex Numbers: Properties, algebraic operations, and polar form.
  • Quadratic Equations: Solutions, roots, and graphical representation.
Linear Inequalities:
  • Inequalities: Solving linear inequalities and graphical representation.
Permutations and Combinations:
  • Counting Principles: Factorials, permutations, and combinations.
Binomial Theorem:
  • Theorem: Expansion of binomials and properties.
Sequences and Series:
  • Arithmetic Progression: Sum, nth term, and properties.
  • Geometric Progression: Sum, nth term, and properties.
Conic Sections:
  • Parabolas, Ellipses, and Hyperbolas: Equations, properties, and applications.
Introduction to 3-D Geometry:
  • 3-D Coordinates: Distance formula, section formula, and planes.