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Overview
NCERT Class 11 Maths Syllabus
Unit 1. Sets and Functions
Unit 2. Algebra
Unit 3. Coordinate Geometry
Unit 4. Calculus
Unit 5. Mathematical Reasoning
Unit 6. Statistics and Probability
The syllabus provides an overview of the Maths topics. Maths is a subject that requires daily practice. So knowing the syllabus will help students in creating a daily study plan. Students can easily keep a record of topics that they have completed. Students will feel confident during the exam as the question paper will be designed from the syllabus.
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Chemistry
CBSE Syllabus For Class 11 Chemistry is given below:
Unit I: Some Basic Concepts of Chemistry
General Introduction: Importance and scope of chemistry.
Nature of matter, laws of chemical combination, Dalton's atomic theory: the concept of elements, atoms, and molecules.
Atomic and molecular masses, mole concept and molar mass, percentage composition, empirical and molecular formula, chemical reactions, stoichiometry, and calculations based on stoichiometry.
Unit II: Structure of Atom
Discovery of Electron, Proton, and Neutron, atomic number, isotopes, and isobars. Thomson's model and its limitations. Rutherford's model and its limitations, Bohr's model and its limitations, the concept of shells and subshells, dual nature of matter and light, de Broglie's relationship, Heisenberg uncertainty principle, the concept of orbitals, quantum numbers, shapes of s, p and d orbitals, rules for filling electrons in orbitals - Aufbau principle, Pauli's exclusion principle and Hund's rule, electronic configuration of atoms, stability of half-filled and completely filled orbitals.
Unit III: Classification of Elements and Periodicity in Properties
Significance of classification, a brief history of the development of periodic table, modern periodic law and the present form of the periodic table, periodic trends in properties of elements -atomic radii, ionic radii, inert gas radii Ionization enthalpy, electron gain enthalpy, electronegativity, valency. Nomenclature of elements with atomic number greater than 100.
Unit IV: Chemical Bonding and Molecular Structure
Valence electrons, ionic bond, covalent bond; bond parameters, Lewis structure, the polar character of covalent bond, the covalent character of ionic bond, valence bond theory, resonance, the geometry of covalent molecules, VSEPR theory, the concept of hybridization, involving s,p, and d orbitals, and shapes of some simple molecules, molecular orbital theory of homonuclear diatomic molecules (qualitative idea only), hydrogen bond.
Unit V: States of Matter: Gases and Liquids
Three states of matter, intermolecular interactions, types of bonding, melting and boiling points, the role of gas laws in elucidating the concept of the molecule, Boyle's law, Charles law, Gay Lussac's law, Avogadro's law, ideal behavior, empirical derivation of gas equation, Avogadro's number, ideal gas equation. Deviation from ideal behavior, liquefaction of gases, critical temperature, kinetic energy, and molecular speeds (elementary idea)Liquid State- vapor pressure, viscosity and surface tension (qualitative idea only, no mathematical derivations)
Unit VI: Chemical Thermodynamics
Concepts of System and types of systems, surroundings, work, heat, energy, extensive and intensive properties, state functions.
The first law of thermodynamics -internal energy and enthalpy, heat capacity and specific heat, measurement of ΔU and ΔH, Hess's law of constant heat summation, enthalpy of bond dissociation, combustion, formation, atomization, sublimation, phase transition, ionization, solution, and dilution. The second law of Thermodynamics (brief introduction)
Introduction of entropy as a state function, Gibb's energy change for spontaneous and non-spontaneous processes, criteria for equilibrium.
Third law of thermodynamics (brief introduction).
Unit VII: Equilibrium
Equilibrium in physical and chemical processes, dynamic nature of equilibrium, the law of mass action, equilibrium constant, factors affecting equilibrium - Le Chatelier's principle, ionic equilibrium-ionization of acids and bases, strong and weak electrolytes, degree of ionization, ionization of polybasic acids, acid strength, the concept of pH, Henderson Equation, hydrolysis of salts (elementary idea), buffer solution, solubility product, common ion effect (with illustrative examples).
Unit VIII: Redox Reaction
Concept of oxidation and reduction, redox reactions, oxidation number, balancing redox reactions, in terms of loss and gain of electrons and change in oxidation number, applications of redox reactions.
Unit IX: Hydrogen
Position of hydrogen in periodic table, occurrence, isotopes, preparation, properties and uses of hydrogen, hydrides-ionic covalent and interstitial; physical and chemical properties of water, heavy water, hydrogen peroxide -preparation, reactions and structure and use; hydrogen as a fuel.
Unit X: s -Block Elements (Alkali and Alkaline Earth Metals)
Group 1 and Group 2 Elements
General introduction, electronic configuration, occurrence, anomalous properties of the first element of each group, diagonal relationship, trends in the variation of properties (such as ionization enthalpy, atomic and ionic radii), trends in chemical reactivity with oxygen, water, hydrogen and halogens, uses.
Preparation and Properties of Some Important Compounds:
Sodium Carbonate, Sodium Chloride, Sodium Hydroxide and Sodium Hydrogencarbonate, Biological importance of Sodium and Potassium. Calcium Oxide and Calcium Carbonate and their industrial uses, biological importance of Magnesium and Calcium.
Unit XI: Some p -Block Elements
General Introduction to p - Block Elements
Group 13 Elements: General introduction, electronic configuration, occurrence, variation of properties, oxidation states, trends in chemical reactivity, anomalous properties of first element of the group, Boron - physical and chemical properties, some important compounds, Borax, Boric acid, Boron Hydrides, Aluminium: Reactions with acids and alkalies, uses.
Group 14 Elements: General introduction, electronic configuration, occurrence, variation of properties, oxidation states, trends in chemical reactivity, anomalous behaviour of first elements. Carbon-catenation, allotropic forms, physical and chemical properties; uses of some important compounds: oxides. Important compounds of Silicon and a few uses: Silicon Tetrachloride, Silicones, Silicates and Zeolites, their uses.
Unit XII: Organic Chemistry - Some Basic Principles and Technique
General introduction, methods of purification, qualitative and quantitative analysis, classification and IUPAC nomenclature of organic compounds. Electronic displacements in a covalent bond: inductive effect, electromeric effect, resonance and hyper conjugation. Homolytic and heterolytic fission of a covalent bond: free radicals, carbocations, carbanions, electrophiles and nucleophiles, types of organic reactions.
Unit XIII: Hydrocarbons
Classification of Hydrocarbons
Aliphatic Hydrocarbons:
Alkanes - Nomenclature, isomerism, conformation (ethane only), physical properties, chemical reactions including free radical mechanism of halogenation, combustion and pyrolysis.
Alkenes - Nomenclature, structure of double bond (ethene), geometrical isomerism, physical properties, methods of preparation, chemical reactions: addition of hydrogen, halogen, water, hydrogen halides (Markownikov's addition and peroxide effect), ozonolysis, oxidation, mechanism of electrophilic addition.
Alkynes - Nomenclature, structure of triple bond (ethyne), physical properties, methods of preparation, chemical reactions: acidic character of alkynes, addition reaction of - hydrogen, halogens, hydrogen halides and water.
Aromatic Hydrocarbons: Introduction, IUPAC nomenclature, benzene: resonance, aromaticity, chemical properties: mechanism of electrophilic substitution. nitration, sulphonation, halogenation, Friedel Craft's alkylation and acylation, directive influence of functional group in monosubstituted benzene. Carcinogenicity and toxicity.
Unit XIV: Environmental Chemistry
Environmental pollution - air, water, and soil pollution, chemical reactions in the atmosphere, smog, major atmospheric pollutants, acid rain, ozone and its reactions, effects of depletion of ozone layer, greenhouse effect and global warming- pollution due to industrial wastes, green chemistry as an alternative tool for reducing pollution, strategies for control of environmental pollution.
Physics
CBSE has prepared and revised the syllabus for this subject. Also, the NCERT Class 11 Physics syllabus has a list of chapters that are very useful for the preparation of competitive exams. It is also advised to refer to the syllabus when preparing for Class 11 Physics examinations.
Course Syllabus
- Unit I: Physical World and Measurement
Chapter - 1: Physical World: Physics - scope and excitement; nature of physical laws; Physics, technology, and society.
Chapter - 2: Units and Measurements: Need for measurement: Units of measurement; systems of units; SI units, fundamental and derived units. Length, mass, and time measurements; accuracy and precision of measuring instruments; errors in measurement; significant figures. Dimensions of physical quantities, dimensional analysis, and its applications.
- Unit II: Kinematics
Chapter - 3: Motion in a Straight Line: Frame of reference, Motion in a straight line: Position-time graph, speed and velocity. Elementary concepts of differentiation and integration for describing motion. Uniform and non-uniform motion, average speed, and instantaneous velocity. Uniformly accelerated motion, velocity time, and position-time graphs. Relations for uniformly accelerated motion (graphical treatment).
Chapter - 4: Motion in a Plane: Scalar and vector quantities; Position and displacement vectors, general vectors and their notations; equality of vectors, multiplication of vectors by a real number; addition and subtraction of vectors. Relative velocity. Unit vector; Resolution of a vector in a plane - rectangular components. Scalar and Vector product of vectors. Motion in a plane, cases of uniform velocity and uniform acceleration-projectile motion. Uniform circular motion.
- Unit III: Laws of Motion
Chapter - 5: Laws of Motion: Intuitive concept of force. Inertia, Newton's first law of motion; momentum and Newton's second law of motion; impulse; Newton's third law of motion. Law of conservation of linear momentum and its applications. Equilibrium of concurrent forces. Static and kinetic friction, laws of friction, rolling friction, lubrication. Dynamics of uniform circular motion: Centripetal force, examples of circular motion (vehicle on a level circular road, vehicle on banked road).
- Unit IV: Work, Energy, and Power
Chapter - 6: Work, Energy, and Power: Work done by a constant force and a variable force; kinetic energy, work-energy theorem, power. The notion of potential energy, potential energy of a spring, conservative forces: conservation of mechanical energy (kinetic and potential energies); non-conservative forces: motion in a vertical circle; elastic and inelastic collisions in one and two dimensions.
- Unit V: Motion of System of Particles and Rigid Body
Chapter - 7: System of Particles and Rotational Motion: Centre of mass of a two-particle system, momentum conservation, and centre of mass motion. Centre of mass of a rigid body; centre of mass of a uniform rod. Moment of a force, torque, angular momentum, laws of conservation of angular momentum and its applications. Equilibrium of rigid bodies, rigid body rotation and equations of rotational motion, comparison of linear and rotational motions. Moment of inertia, radius of gyration. Values of moments of inertia, for simple geometrical objects (no derivation). Statement of parallel and perpendicular axes theorems and their applications.
- Unit VI: Gravitation
Chapter - 8: Gravitation: Keplar's laws of planetary motion. The universal law of gravitation. Acceleration due to gravity and its variation with altitude and depth. Gravitational potential energy and gravitational potential. Escape velocity. Orbital velocity of a satellite. Geo-stationary satellites.
- Unit VII: Properties of Bulk Matter
Chapter - 9: Mechanical Properties of Solids: Elastic behaviour, Stress-strain relationship, Hooke's law, Young's modulus, bulk modulus, shear modulus of rigidity, Poisson's ratio; elastic energy.
Chapter - 10: Mechanical Properties of Fluids: Pressure due to a fluid column; Pascal's law and its applications (hydraulic lift and hydraulic brakes). Effect of gravity on fluid pressure. Viscosity, Stokes' law, terminal velocity, streamline and turbulent flow, critical velocity. Bernoulli's theorem and its applications. Surface energy and surface tension, angle of contact, excess of pressure across a curved surface, application of surface tension ideas to drops, bubbles and capillary rise.
Chapter - 11: Thermal Properties of Matter: Heat, temperature, thermal expansion; thermal expansion of solids, liquids and gases, anomalous expansion of water; specific heat capacity; Cp, Cv - calorimetry; change of state - latent heat capacity. Heat transfer-conduction, convection and radiation, thermal conductivity, Qualitative ideas of Blackbody radiation, Wein's displacement Law, Stefan's law, Green house effect.
- Unit VIII: Thermodynamics
Chapter - 12: Thermodynamics: Thermal equilibrium and definition of temperature (zeroth law of thermodynamics).Heat, work and internal energy. First law of thermodynamics. Isothermal and adiabatic processes. Second law of thermodynamics: reversible and irreversible processes. Heat engine and refrigerator.
- Unit IX: Behaviour of Perfect Gases and Kinetic Theory of Gases
Chapter - 13: Kinetic Theory: Equation of state of a perfect gas, work done in compressing a gas. Kinetic theory of gases - assumptions, concept of pressure. Kinetic interpretation of temperature; rms speed of gas molecules; degrees of freedom, law of equi-partition of energy (statement only) and application to specific heat capacities of gases; concept of mean free path, Avogadro's number.
- Unit X: Oscillations and Waves
Chapter - 14: Oscillations: Periodic motion - time period, frequency, displacement as a function of time. Periodic functions. Simple harmonic motion (S.H.M) and its equation; phase; oscillations of a spring-restoring force and force constant; energy in S.H.M. Kinetic and potential energies; simple pendulum derivation of expression for its time period. Free, forced and damped oscillations (qualitative ideas only), resonance.
Chapter - 15: Waves: Wave motion. Transverse and longitudinal waves, speed of wave motion. Displacement relation for a progressive wave. Principle of superposition of waves, reflection of waves, standing waves in strings and organ pipes, fundamental mode and harmonics, Beats, Doppler effect.
Term-1 Syllabus
Unit-1
Physical World and Measurement
Chapter–1: Physical World Physics-scope and excitement; nature of physical laws; Physics, technology and society. (To be discussed as a part of Introduction and integrated with other topics)
Chapter–2: Units and Measurements Need for measurement: Units of measurement; systems of units; SI units, fundamental and derived units. Length, mass and time measurements; accuracy and precision of measuring instruments; errors in measurement; significant figures. Dimensions of physical quantities, dimensional analysis and its applications.
Unit II: Kinematics
Chapter–3: Motion in a Straight Line Elementary concepts of differentiation and integration for describing motion, uniform and nonuniform motion, average speed and instantaneous velocity, uniformly accelerated motion, velocity - time and position-time graphs. Relations for uniformly accelerated motion (graphical treatment).
Chapter–4: Motion in a Plane Scalar and vector quantities; position and displacement vectors, general vectors and their notations; equality of vectors, multiplication of vectors by a real number; addition and subtraction of vectors, relative velocity, Unit vector; resolution of a vector in a plane, rectangular components, Scalar and Vector product of vectors. Motion in a plane, cases of uniform velocity and uniform acceleration-projectile motion, uniform circular motion.
Unit III: Laws of Motion
Chapter–5: Laws of Motion Intuitive concept of force, Inertia, Newton's first law of motion; momentum and Newton's second law of motion; impulse; Newton's third law of motion. (Recapitulation only) Law of conservation of linear momentum and its applications. Equilibrium of concurrent forces, Static and kinetic friction, laws of friction, rolling friction, lubrication. Dynamics of uniform circular motion: Centripetal force, examples of circular motion (vehicle on a level circular road, vehicle on a banked road). Unit IV: Work, Energy and Power
Chapter–6: Work, Energy and Power Work done by a constant force and a variable force; kinetic energy, work-energy theorem, power. Notion of potential energy, potential energy of a spring, conservative forces: conservation of mechanical energy (kinetic and potential energies); non-conservative forces: motion in a vertical circle; elastic and inelastic collisions in one and two dimensions.
Unit V: Motion of System of Particles and Rigid Body
Chapter–7: System of Particles and Rotational Motion Centre of mass of a two-particle system, momentum conservation and centre of mass motion. Centre of mass of a rigid body; centre of mass of a uniform rod. Moment of a force, torque, angular momentum, law of conservation of angular momentum and its applications. Equilibrium of rigid bodies, rigid body rotation and equations of rotational motion, comparison of linear and rotational motions. Moment of inertia, radius of gyration, values of moments of inertia for simple geometrical objects (no derivation).
Unit VI: Gravitation
Chapter–8: Gravitation Universal law of gravitation. Acceleration due to gravity (recapitulation only) and its variation with altitude and depth. Gravitational potential energy and gravitational potential, escape velocity, orbital velocity of a satellite, Geo-stationary satellites.
Class XI (Theory) Term II
Properties of Bulk Matter
Chapter–9: Mechanical Properties of Solids
Stress-strain relationship, Hooke's law, Young's modulus, bulk modulus
Chapter–10: Mechanical Properties of Fluids
Pressure due to a fluid column; Pascal's law and its applications (hydraulic lift and hydraulic brakes),
effect of gravity on fluid pressure.
Viscosity, Stokes' law, terminal velocity, streamline and turbulent flow, critical velocity, Bernoulli's
theorem and its applications.
Surface energy and surface tension, angle of contact, excess of pressure across a curved surface,
application of surface tension ideas to drops, bubbles and capillary rise.
Chapter–11: Thermal Properties of Matter
Heat, temperature, (recapitulation only) thermal expansion; thermal expansion of solids, liquids and
gases, anomalous expansion of water; specific heat capacity; Cp, Cv - calorimetry; change of state -
latent heat capacity.
Heat transfer-conduction, convection and radiation (recapitulation only), thermal conductivity,
qualitative ideas of Blackbody radiation, Wein's displacement Law, Stefan's law, Greenhouse effect.
Unit VIII: Thermodynamics
Chapter–12: Thermodynamics
Thermal equilibrium and definition of temperature (zeroth law of thermodynamics), heat, work and
internal energy. First law of thermodynamics, isothermal and adiabatic processes.
Second law of thermodynamics: reversible and irreversible processes
Unit IX: Behaviour of Perfect Gases and Kinetic Theory of Gases
Chapter–13: Kinetic Theory
Equation of state of a perfect gas, work done in compressing a gas.
Kinetic theory of gases - assumptions, concept of pressure. Kinetic interpretation of temperature;
rms speed of gas molecules; degrees of freedom, law of equi-partition of energy (statement only)
and application to specific heat capacities of gases; concept of mean free path, Avogadro's number.
Unit X: Oscillations and Waves
Chapter–14: Oscillations
Periodic motion - time period, frequency, displacement as a function of time, periodic functions.
Simple harmonic motion (S.H.M) and its equation; phase; oscillations of a loaded spring- restoring
force and force constant; energy in S.H.M. Kinetic and potential energies; simple pendulum
derivation of expression for its time period. Free, forced and damped oscillations (qualitative ideas
only), resonance.
Chapter–15: Waves
Wave motion: Transverse and longitudinal waves, speed of travelling wave, displacement relation
for a progressive wave, principle of superposition of waves, reflection of waves, standing waves in
strings and organ pipes, Beats
Course content
Mathematics Premium
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