Pattern:
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Physics 60 MCQ
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Chemistry 60 MCQ
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Mathematics 60 MCQ
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Total 180 Questions
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Medium of Examination will be ENGLISH only
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Each correct answer will be awarded 1 mark
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There will be no negative marking for wrong answers
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Total Marks would be 180
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in the event of a tie in the test score the principle of least negative responses (Number of wrong answers) will be adopted. In addition, if required, other methods may be adopted to break ties.
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Date and Time: From Morning Slot: 9:00 AM to 12 Noon, Afternoon Slot: 2:00 PM to 5:00 PM of 28th May 2023.
Syllabus:
Class 11th: Physics
Unit I: Physical World and Measurement
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Chapter 1 Physical World: Physics-scope and excitement; Nature of physical laws; Physics, technology, and society
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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
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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)
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Chapter 4 Motion in a Plane: Scalar and vector quantities; Position and displacement vectors, 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
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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
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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
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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
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Chapter 8: Gravitation • Kepler'slaws 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
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Chapter 9: Mechanical Properties of Solids: Elastic behaviour, Stress-strain relationship, Hooke's law, Young's modulus, bulk modulus, shearmodulus ofrigidity, Poisson'sratio; elastic energy
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Chapter 10: Mechanical Properties of Fluids: Pressure due to a fluid column; Pascal'slaw 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'stheorem and its applications. Surface energy and surface tension, angle of contact, excess of pressure across a curved surface, application ofsurface tension idea to drops, bubbles and capillary rise.
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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'slaw,Green house effect
Unit VIII: Thermodynamics
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Chapter 12: Thermodynamics: Thermal equilibrium and definition of temperature (zeroth law of thermodynamics). Heat, work and internal energy. Firstlaw 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
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Chapter 13: Kinetic Theory: Equation ofstate 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
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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
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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 wavesin strings and organ pipes, fundamental mode and harmonics, Beats, Doppler effect
Class 11th: Chemistry
Chapter 1 Some Basic Concepts of Chemistry
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General Introduction: Importance and scope of Chemistry. Atomic and molecular masses, mole concept and molar mass, percentage composition, empirical and molecular formula, chemical reactions, stoichiometry and calculations based on stoichiometry.
Chapter 2 Structure of Atom
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Bohr's model and its limitations, concept of shells and subshells, dual nature of matter and light, de Broglie's relationship, Heisenberg uncertainty principle, 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
Chapter 3 Classification of Elements and Periodicity in Properties
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Modern periodic law and the present form of 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
Chapter 4 Chemical Bonding and Molecular Structure
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Valence electrons, ionic bond, covalent bond, bond parameters, Lewis structure, polar character of covalent bond, covalent character of ionic bond, valence bond theory, resonance, geometry of covalent molecules, VSEPR theory, 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
Chapter 5 States of Matter: Gases and Liquids
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Three states of matter, intermolecular interactions, types of bonding, melting and boiling points, role of gas laws in elucidating the concept of the molecule, Boyle's law, Charles law, Gay Lussac's law, Avogadro's law, ideal behaviour, empirical derivation of gas equation, Avogadro's number, ideal gas equation and deviation from ideal behaviour.
Chapter 6 Chemical Thermodynamics
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Concepts of Systems and types of systems, surroundings, work, heat, energy, extensive and intensive properties, and state functions. The first law of thermodynamics -internal energy and enthalpy, 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. Second law of Thermodynamics (brief introduction) Introduction of entropy as a state function, Gibb's energy change for spontaneous and nonspontaneous processes. Third law of thermodynamics (brief introduction).
Chapter 7 Equilibrium
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Equilibrium in physical and chemical processes, dynamic nature of equilibrium, 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 poly basic acids, acid strength, concept of pH, buffer solution, solubility product, common ion effect (with illustrative examples).
Chapter 8 Redox Reactions
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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
Chapter 9 Hydrogen
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Position of hydrogen in periodic table, occurrence, isotopes, hydrides-ionic covalent and interstitial; physical and chemical properties of water, heavy water, hydrogen as a fuel
Chapter 10 s-Block Elements
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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.
Chapter 11 Some p-Block Elements
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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. 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.
Chapter 12 Organic Chemistry: Some basic Principles and Techniques
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General introduction, classification and IUPAC nomenclature of organic compounds. Electronic displacements in a covalent bond: inductive effect, electromeric effect, resonance and hyperconjugation. Homolytic and heterolytic fission of a covalent bond: free radicals, carbocations, carbanions, electrophiles and nucleophiles, types of organic reactions.
Chapter 13 Hydrocarbons
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Classification of Hydrocarbons Aliphatic Hydrocarbons: Alkanes - Nomenclature, isomerism, conformation (ethane only), physical properties, chemical reactions. Alkenes - Nomenclature, structure of double bond (ethene), geometrical isomerism, physical properties, methods of preparation, chemical reactions: addition of hydrogen, halogen, water, hydrogen halides (Markovnikov'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
Class 11th: Mathematics
Unit-I: Sets and Functions
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Sets
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Relations & Functions
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Trigonometric Functions
Unit-II: Algebra
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Complex numbers and Quadratic Equations
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Linear Inequalities
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Permutations & Combinations
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Sequence & Series
Unit-III: Co-ordinate Geometry
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Straight Lines
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Conic Sections
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Introduction to Three-Dimensional Geometry
Unit-IV: Calculus
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Limits & Derivatives
Unit-V: Statistics & Probability
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Statistics
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Probability
Class 12th: Physics
Unit I: Electrostatics
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Chapter 1 Electric Charges and Fields Electric Charges: Conservation of charge, Coulomb’s law-force between two point charges, forces between multiple charges; superposition principle and continuous charge distribution. Electric field, electric field due to a point charge, electric field lines, electric dipole, electric field due to a dipole, torque on a dipole in a uniform electric field. Electric flux, statement of Gauss’s theorem and its applications to find field due to infinitely long straight wire, uniformly charged infinite plane sheet, and uniformly charged thin spherical shell (field inside and outside).
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Chapter 2 Electrostatic Potential and Capacitance: Electric potential, potential difference, electric potential due to a point charge, a dipole, and system of charges; equipotential surfaces, electrical potential energy of a system of two point charges and of electric dipole in an electrostatic field. Conductors and insulators, free charges, and bound charges inside a conductor. Dielectrics and electric polarisation, capacitors, and capacitance, the combination of capacitors in series and in parallel, the capacitance of a parallel plate capacitor with and without dielectric medium between the plates, energy stored in a capacitor. (no derivation, formulae only)
Unit II: Current Electricity
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Chapter 3 Current Electricity: Electric current, the flow of electric charges in a metallic conductor, drift velocity, mobility and their relation with electric current; Ohm’s law, V-I characteristics (linear and non-linear), electrical energy and power, electrical resistivity, and conductivity, the temperature dependence of resistance. • Internal resistance of a cell, potential difference, and emf of a cell, combination of cells in series and in parallel. Kirchhoff’slaws, Wheatstone bridge
Unit III: Magnetic Effects of Current and Magnetism
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Chapter 4 Moving Charges and Magnetism: Concept of the magnetic field, Oersted’s experiment. Biot - Savart law and its application to the current carrying circular loop. Ampere’s law and its applications to infinitely long straight wire. Straight solenoid (only qualitative treatment), Force on a moving charge in uniform magnetic and electric fields. Force on a current-carrying conductor in a uniform magnetic field. The force between two parallel current-carrying conductors- definition of ampere. Torque experienced by a current loop in a uniform magnetic field; Current loop as a magnetic dipole and its magnetic dipole moment. moving coil galvanometer-its current sensitivity. and conversion to ammeter and voltmeter
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Chapter 5 Magnetism and Matter: Bar magnet, bar magnet as an equivalent solenoid, (qualitative treatment only) Magnetic field intensity due to a magnetic dipole (bar magnet) along its axis and perpendicular to its axis. (qualitative treatment only), Torque on a magnetic dipole (bar magnet) in a uniform magnetic field; (qualitative treatment only), magnetic field lines. Magnetic properties of materials-Para-, dia- and ferromagnetic substances, with examples. Magnetization of materials, the effect of temperature on magnetic properties.
Unit IV: Electromagnetic Induction and Alternating Currents
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Chapter 6 Electromagnetic Induction: Electromagnetic induction; Faraday’s laws, induced emf and current; Lenz’s Law, Self and mutual induction.
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Chapter 7 Alternating Current: Alternating currents, peak and rms value of alternating current/voltage; reactance and impedance; LCR series circuit, (phasors only), resonance; power in AC circuits, wattless current. AC generator and transformer.
Unit V: Electromagnetic waves
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Chapter 8 Electromagnetic Waves: Basic idea of displacement current. Electromagnetic waves and their characteristics Transverse nature of electromagnetic waves. (Qualitative ideas only) Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet, X-rays, gamma rays) including elementary facts about their uses
Unit VI:Optics
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Chapter 9 Ray Optics and Optical Instruments: Ray Optics: Reflection of light, spherical mirrors, mirror formula. Refraction of light, total internal reflection and optical fibers, refraction at spherical surfaces, lenses, thin lens formula, lensmaker’s formula. Magnification, power of a lens, combination of thin lenses in contact.. Refraction of light through a prism. Optical instruments: Microscopes and astronomical telescopes (reflecting and refracting) and their magnifying powers.
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Chapter 10 Wave Optics: Wave optics: Wave front and Huygen's principle, reflection and refraction of plane wave at a plane surface using wave fronts. Proof of laws of reflection and refraction using Huygen's principle. Interference Young's double slit experiment and expression for fringe width, (No derivation final expression only) coherent sources and sustained interference of light. Diffraction due to a single slit, width of central maximum, (qualitative treatment only).
Unit VII:DualNature of Matter and Radiation
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Chapter 11 Dual Nature of Radiation and Matter: Dual nature of radiation. Photoelectric effect, Hertz and Lenard's observations; Einstein’s photoelectric equation-particle nature of light. Experimental study of the photoelectric effect. Matter waves-wave nature of particles, de Broglie relation
Unit VIII: Atoms & Nuclei
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Chapter 12 Atoms: Alpha-particle scattering experiment; Rutherford’s model of atom; Bohr model, of the hydrogen atom, Expression for the radius of the nth possible orbit, velocity and energy of electron in this orbit, hydrogen line spectra (qualitative treatment only).
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Chapter 13 Nuclei: Composition and size of nucleus, nuclear force. Mass-energy relation, mass defect; binding energy per nucleon and its variation with mass number; nuclear fission, nuclear fusion
Unit IX: Electronic Devices
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Chapter 14: Semiconductor Electronics: Materials, Devices, and Simple Circuits. Energy bands in solids conductors, insulator and semiconductors; (Qualitative ideas only) ) Intrinsic and extrinsic semiconductors- p and n-type, p-n junction Semiconductor diode– I-V characteristics in forward and reverse bias, application of junction diode - diode as a rectifier.
Class 12th: Chemistry
Chapter 1 Solutions
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Types of solutions, expression of concentration of solutions of solids in liquids, the solubility of gases in liquids, solid solutions, Raoult's law, colligative properties – the relative lowering of vapor pressure, elevation of boiling point, depression of freezing point, osmotic pressure, determination of molecular masses using colligative properties, abnormal molecular mass, Van't Hoff factor.
Chapter 2 Electrochemistry
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Redox reactions, EMF of a cell, standard electrode potential, Nernst equation and its application to chemical cells, Relation between Gibbs energy change and EMF of a cell, conductance in electrolytic solutions, specific and molar conductivity, variations of conductivity with concentration, Kohlrausch's Law, electrolysis and law of electrolysis (elementary idea), dry cell-electrolytic cells and Galvanic cells, lead accumulator, fuel cells, corrosion.
Chapter 3 Chemical Kinetics
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Rate of a reaction (Average and instantaneous), factors affecting rate of reaction: concentration, temperature, catalyst; order and molecularity of a reaction, rate law and specific rate constant, integrated rate equations and half-life (only for zero and first order reactions), concept of collision theory (elementary idea, no mathematical treatment), activation energy, Arrhenius equation.
Chapter 4 d -and f -Block Elements
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General introduction, electronic configuration, occurrence and characteristics of transition metals, general trends in properties of the first-row transition metals – metallic character, ionization enthalpy, oxidation states, ionic radii, colour, catalytic property, magnetic properties, interstitial properties, alloy formation, preparation and properties of K2Cr2O7 and KMnO4. Lanthanoidselectronic configuration, oxidation states, chemical reactivity and lanthanoid contraction and its consequences. Actinoids- electronic configuration, oxidation states, comparison with lanthanoids
Chapter 5 Coordination Compounds
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Coordination compounds - Introduction, ligands, coordination number, colour, magnetic properties and shapes, IUPAC nomenclature of mononuclear coordination compounds. Bonding, Werner's theory, VBT, and CFT; structure and stereoisomerism, the importance of coordination compounds (in qualitative analysis, extraction of metals and biological system).
Chapter 6 Haloalkanes and Haloarenes
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Haloalkanes: Nomenclature, nature of C–X bond, physical and chemical properties, optical rotation mechanism of substitution reactions. Haloarenes: Nature of C–X bond, substitution reactions (Directive influence of halogen in monosubstituted compounds only). Uses and environmental effects of - dichloromethane, trichloromethane, tetrachloromethane, iodoform, freons, DDT.
Chapter 7 Alcohols, Phenols and Ethers
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Nomenclature, methods of preparation, physical and chemical properties (of primary alcohols only), identification of primary, secondary and tertiary alcohols, mechanism of dehydration, uses with special reference to methanol and ethanol. Phenols: Nomenclature, methods of preparation, physical and chemical properties, acidic nature of phenol, electrophilic substitution reactions, uses of phenols. Ethers: Nomenclature, methods of preparation, physical and chemical properties, uses.
Chapter 8 Aldehydes, Ketones and Carboxylic Acids
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Aldehydes and Ketones: Nomenclature, nature of carbonyl group, methods of preparation, physical and chemical properties, mechanism of nucleophilic addition, reactivity of alpha hydrogen in aldehydes, uses. Carboxylic Acids: Nomenclature, acidic nature, methods of preparation, physical and chemical properties; uses.
Chapter 9 Amines
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Amines: Nomenclature, classification, structure, methods of preparation, physical and chemical properties, uses, identification of primary, secondary and tertiary amines. Diazonium salts: Preparation, chemical reactions and importance in synthetic organic chemistry.
Chapter 10 Biomolecules
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Carbohydrates - Classification (aldoses and ketoses), monosaccharides (glucose and fructose), D-L configuration oligosaccharides (sucrose, lactose, maltose), polysaccharides (starch, cellulose, glycogen); Importance of carbohydrates. Proteins -Elementary idea of - amino acids, peptide bond, polypeptides, proteins, structure of proteins - primary, secondary, tertiary structure and quaternary structures (qualitative idea only), denaturation of proteins; enzymes. Hormones - Elementary idea excluding structure. Vitamins - Classification and functions. Nucleic Acids: DNA and RNA.
Class 12th: Mathematics
Unit-I: Relations & Functions
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Relations & Functions
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Inverse Trigonometric Functions
Unit-II: Algebra
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Matrices
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Determinants
Unit-III: Calculus
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Continuity & Differentiability
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Applications of Derivatives
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Integrals
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Applications of Integrals
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Differential Equations
Unit-IV: Vectors and Three-Dimensional Geometry
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Vectors
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Three- Dimensional Geometry
Unit-V: Linear Programming
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Linear Programming
Unit-VI: Probability
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Probability
2023