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PCM (Physics, Chemistry, Mathematics)

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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:

1. 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.

2. 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.

3. 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.
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