Syllabus
Video Lecture
Previous Year Question Paper
Units of measurements. System of Units, S I Units, fundamental and derived units, least count. significant figures, Errors in measurements , Dimensions of Physics quantities. dimensional analysis, and its applications.
The frame of reference, motion in a straight line, Position- time graph, speed and velocity; Uniform and non-uniform motion, average speed and instantaneous velocity, uniformly accelerated motion, velocity-time, position-time graph, relations for uniformly accelerated motion, Scalars and Vectors, Vector. Addition and subtraction,, scalar and vector products, Unit Vector, Resolution of a Vector. Relative Velocity, Motion in a plane, Projectile Motion, Uniform Circular Motion.
Force and inertia, Newton's First law of motion; Momentum, Newton's Second Law of motion, Impulses; 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.
Dynamics of uniform circular motion: centripetal force and its applications: vehicle on a level circular road, vehicle on a banked road.
Work done by a constant force and a variable force; kinetic and potential energies, work-energy theorem, power. The potential energy of spring conservation of mechanical energy, conservative and non- conservative forces; motion in a vertical circle: Elastic and inelastic collisions in one and two dimensions.
Centre of the mass of a two-particle system, Centre of the mass of a rigid body: Basic concepts of rotational motion; moment of a force; torque, angular momentum, conservation of angular momentum and its applications.
The moment of inertia, the radius of gyration, values of moments of inertia forsimple geometrical objects. parallel and perpendicular axes theorems, and their applications. Equilibrium of rigid bodies, rigid body rotation and equations of rotational motion, comparison of linear and rotational motions.
The universal law of gravitation. Acceleration due to gravity and its variation with altitude and depth. Kepler's law of planetary motion. Gravitational potential energy; gravitational potential. Escape velocity, Motion of a satellite, orbital velocity, time period and energy of satellite.
Elastic behaviour, Stress-strain relationship, Hooke's Law. Young's modulus, bulk modulus, modulus of rigidity. Pressure due to a fluid column; Pascal's law and its applications. Effect of gravity on fluid pressure.
Viscosity. Stokes' law. terminal velocity, streamline, and turbulent flow.critical velocity Bernoulli's principle and its applications.
Surface energy and surface tension, angle of contact, excess of pressure across a curved surface, application of surface tension drops, bubbles, and capillary rise. Heat, temperature, thermal expansion; specific heat capacity, calorimetry; change of state, latent heat. Heat transfer- conduction, convection, and radiation.
Thermal equilibrium, zeroth law of thermodynamics, the concept of temperature. Heat, work, and intemal energy. The first law of thermodynamics, isothermal and adiabatic processes.
The second law of thermodynamics: reversible and irreversible processes.
Equation of state of a perfect gas, work done on compressing a gas, Kinetic theory of gases - assumptions, the concept of pressure. Kinetic interpretation of temperature: RMS speed of gas molecules: Degrees of freedom. Law of equipartition of energy and applications to specific heat capacities of gases; Mean free path. Avogadro's number.
Oscillations and 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:
Wave motion. Longitudinal and transverse 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, fundamental mode and harmonics. Beats.
Electric charges: Conservation of charge. Coulomb's law forces 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. Gauss's law and its applications to find field due to infinitely long uniformly charged straight wire, uniformly charged infinite plane sheet, and uniformly charged thin spherical shell. Electric potential and its calculation for a point charge, electric dipole and system of charges: potential difference, Equipotential surfaces, Electrical potential energy of a system of two point charges and of electric dipole in an electrostatic field.
Conductors and insulators. Dielectrics and electric polarization, capacitors and capacitances.. the combination of capacitors in series and parallel, capacitance of a parallel plate capacitor with and without dielectric medium between the plates. Energy stored in a capacitor.
Electric current. Drift velocity, mobility and their relation with electric current.. Ohm's law. Electrical resistance.. V-1 characteristics of Ohmic and non-ohmic conductors.
Electrical energy and power. Electrical resistivity and conductivity. Series and parallel combinations of resistors; Temperature dependence of resistance.
Internal resistance, potential difference and emf of a cell, a combination of cells in series and parallel. Kirchhoff's laws and their applications. Wheatstone bridge. Metre Bridge.
Biot Savart law and its application to current carrying circular loop. Ampere's law and its applications to infinitely long current carrying straight wire and solenoid. 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 currents carrying conductors-definition of ampere. Torque experienced by a current loop in a uniform magnetic field: Moving coil galvanometer, its sensitivity, and conversion to ammeter and voltmeter.
Current loop as a magnetic dipole and its magnetic dipole moment. Bar magnet as an equivalent solenoid, magnetic field lines; Magnetic field due to a magnetic dipole (bar magnet) along its axis and perpendicular to its axis. Torque on a magnetic dipole in a uniform magnetic field. Para- dia- and ferromagnetic substances with examples, effect of temperature on magnetic properties.
Electromagnetic induction: Faraday's law. Induced emf and current: Lenz's Law, Eddy currents, Self and mutual inductance. Alternating currents, peak and RMS value of alternating current/ voltage: reactance and impedance: LCR series circuit, resonance: power in AC circuits, wattless current. AC generator and transformer.
Displacement current. Electromagnetic waves and their characteristics, Transverse nature of electromagnetic waves, Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet. X-rays. Gamma rays), Applications of e.m. waves.
Reflection of light, spherical mirrors, morror formula. Refraction of light at plane and spherical surfaces, thin lens formula and lens maker formula. Total internal reflection and its applications.
Magnification. Power of a Lens. Combination of thin lenses in contact. Refraction of light through a prism. Microscope and Astronomical Telescope (reflecting and refracting) and their magnifying powers.
Wave optics: wavefront and Huygens' principle. Laws of reflection and refraction using Huygens principle. Interference, Young's double-slit experiment and expression for fringe width, coherent sources, and sustained interference of light. Diffraction due to a single slit, width of central maximum.. Polarization, plané-polarized light: Brewster's law, uses of plane-polarized light and Polaroid.
Dual nature of radiation. Photoelectric effect. Hertz and Lenard's observations; Einstein's photoelectric equation: particle nature of light. Matter waves-wave nature of particle, de Broglie relation.
Alpha-particle scattering experiment; Rutherford's model of atom; Bohr model, energy levels, hydrogen spectrum. Composition and size of nucleus, atomic masses, Mass-energy relation, mass defect; binding energy per nucleon and its variation with mass number, nuclear fission, and fusion.
Semiconductors; semiconductor diode: I-V characteristics in forward and reverse bias; diode as a rectifier; I-V characteristics of LED. the photodiode, solar cell, and Zener diode; Zener diode as a voltage regulator.. Logic gates (OR. AND. NOT. NAND and NOR).
Matter and its nature, Dalton's atomic theory: Concept of atom, molecule, element. and compound: Laws of chemical combination; Atomic and moleculat masses, mole concept, molar mass, percentage composition, empirical and molecular formulae: Chemical equations and stoichiometry.
Nature of electromagnetic radiation, photoelectric effect; Spectrum of the hydrogen atom. Bohr model of a hydrogen atom - its postulates, derivation of the relations for the energy of the electron and radii of the different orbits, limitations of Bohr's model; Dual nature of matter, de Broglie's relationship. Heisenberg uncertainty principle. Elementary ideas of quantum mechanics, quantum mechanics, the quantum mechanical model of the atom, its important features. Concept of atomic orbitals as one-electron wave functions: Variation of ψ and ψ² with r for 1s and 2s orbitals; various quantum numbers (principal, angular momentum, and magnetic quantum numbers) and their significance; shapes of s, p, and d - orbitals, electron spin and spin quantum number: Rules for filling electrons in orbitals Aufbau principle. Pauli's exclusion principle and Hund's rule, electronic configuration of elements, extra stability of half-filled and completely filled orbitals.
Kossel - Lewis approach to chemical bond formation, the concept of ionic and covalent bonds.
Ionic Bonding:Formation of ionic bonds, factors affecting the formation of ionic bonds; calculation of lattice enthalpy.
Covalent Bonding:concept of electronegativity.
Fajan's rule, dipole moment:valence Shell Electron Pair Repulsion (VSEPR) theory and shapes of simple molecules.
Quantum mechanical approach to covalent bonding: Valence bond theory - its important f'eatures. the concept of hybridization involving s, p, and d orbitals; Resonance.
Molecular orbital Theory - Its important features. LCAOs, 'types of molecular orbitals (bonding, antibonding), sigma and pi-bonds, molecular orbital electronic configuralions of homonuclear diatomic molecules, the concept of bond order, bond length, and bond energy.
Elementary idea of metallic bonding. Hydrogen bonding and its application.
Fundamentals of thermodynamics: system and surroundings, extensive and intensive properties' state functions, types of processes.
The first lew of thermodynamics - concept of work, heat intemal energy and enthalpy, heat capacity, molar heat capacity; Hess,s law of constant heat summation; Enthalpiesof bond dissociation, combustion' formation, atomization. sublimation. phase transition, hydration. ionization. and solution.
The second raw of thermodynamics -Spontaneity of processes: AS of the universe and AC of the system as criteria for spontaneity. AG (Standard'Gibbs energy change) and equiribrium constant.
Different methods for expressing the concentration of solution - molality, molarity, mole fraction, percentage (by volume and mass both), the vapour pressure of solutions and Raoult's Law - Ideal and non-ideal solutions, vapour pressure - composition, plots for ideal and non-ideal solutions; Colligative properties of dilute solutions - a relative lowering of vapour pressure, depression of freezing point, the elevation of boiling point and osmotic pressure; Determination of molecular mass using colligative properties; Abnormal value of molar mass, van't Hoff factor and its significance.
Meaning of equilibrium, the concept of dynamic equilibrium. Equilibria involving physical processes: Solid-liquid, liquid - gas and solid gas equilibria, henery's law. General characteristics ofequilibrium involving physical processes.
Equiribrium involving chemical processes: Law of chemical equiribrium, equiribrium constants and (kₚ and Kᶜ) and their significance, the significance of AG and AG in chemical factors affecting equilibrium concentraion, pressure, temperature,the effect of catalyst; Le Chatelier's principle.
Ionic equilibrium: Weak and strong electrolytes, ionization of electrolytes, various concepts of acids and bases (Arrhenius. Bronsted Lowry and Lewis) and their ionization, acid-base equilibria (including multistage ionization) and ionization constants, ionization of water. pH scale, common ion effect, hydrolysis of salts and pH of their solutions, the solubility of sparingly soluble salts and solubility products, buffer solutions.
Electronic concepts of oxidation and reduction, redox reactions, oxidation number, rules for assigning oxidation number, balancing of redox reactions. Electrolytic and metallic conduction, conductance in electrolytic solutions, molar conductivities and their variation with concentration: Kohlrausch's law and its applications. Electrochemical cells - Electrolytic and Galvanic cells, different types of electrodes, electrode potentials including standard electrode potential, half - cell and cell reactions, emf of a Galvanic cell and its measurement: Nernst equation and its applications; Relationship between cell potential and Gibbs' energy change: Dry cell and lead accumulator; Fuel cells.
Rate of a chemical reaction, factors affecting the rate of reactions: concentration, temperature, pressure, and catalyst; elementary and complex reactions, order and molecularity of reactions, rate law, rate constant and its units, differential and integral forms of zero and first-order. reactions, their characteristics and half-lives, the effect of temperature on the rate of reactions, Arrhenius theory, activation energy and its calculation, collision theory of bimolecular gaseous reactions (no derivation).
Modem periodic law and present form of the periodic table, s, p. d and f block elements, periodic trends in properties of elements atomic and ionic radii, ionization enthalpy, electron gain enthalpy, valence, oxidation states, and chemical reactivity.
General Introduction: Electronic configuration and general trends in physical and chemical properties of elements across the periods and down the groups; unique behaviour of the first element in each group.
General introduction, electronic configuration, occurrence and characteristics, general trends in properties of the first-row transition elements - physical properties, ionization enthalpy, oxidation states, atomic radii, colour, catalytic behaviour, magnetic properties, complex formation, interstitial compounds, alloy formation; Preparation, properties, and uses of K2Cr2O7, and KMnO4.
Inner Transition ElementsLanthanoids - Electronic configuration, oxidation states, and lanthanoid contraction.
Actinoids - Electronic configuration and oxidation states.
Introduction to coordination compounds. Werner's theory; ligands, coordination number, denticity. Chelation; IUPAC nomenclature of mononuclear co-ordination compounds, isomerism; Bonding-Valence bond approach and basic ideas of Crystal field theory, colour and magnetic properties; Importance of co-ordination compounds (in qualitative analysis, extraction of metals and in biological systems).
Purification - Crystallization, sublimation, distillation, differential extraction, and chromatography - principles and their applications.
Qualitative analysis - Detection of nitrogen, sulphur, phosphorus, and halogens.
Qualitative analysis (basic principles only) Estimation of carbon, hydrogen, nitrogen, halogens, sulphur, phosphorus.
Calculations of empirical formulae and molecular formulae: Numerical problems in organic quantitative analysis,
Tetravalency of carbon: Shapes of simple molecules - hybridization (s and p): Classification of organic compounds based on functional groups: and those containing halogens, oxygen, nitrogen, and sulphur, Homologous series: Isomerism - structural and stereoisomerism.
Nomenclature (Trivial and IUPAC)Covalent bond fission Homolytic and heterolytic: free radicals, carbocations, and carbanions; stability of carbocations and free radicals, electrophiles, and nucleophiles.
Electronic displacement in a covalent bond- Inductive effect, electromeric effect, resonance, and hyperconjugation.
Common types of organic reactions- Substitution, addition, elimination, and rearrangement.
Classification, isomerism, IUPAC nomenclature, general methods of
preparation, properties, and reactions.
Alkanes - Conformations: Sawhorse and Newman
projections (of
ethane): Mechanism of halogenation of alkanes.
Alkanes - Geometrical isomerism: Mechanism of
electrophilic
addition: addition of hydrogen, halogens, water, hydrogen halides
(Markownikoffs and peroxide effect): Ozonolysis and polymerization.
Alkanes - Acidic character: Addition of hydrogen,
halogens, water,
and hydrogen halides: Polymerization.
Aromatic hydrocarbons - Nomenclature, benzene
structure and
aromaticity: Mechanism of electrophilic substitution: halogenation,
nitration.
Friedel - Craft's alkylation and acylation,
directive influence of
the functional group in mono- substituted benzene.
General methods of preparation, properties, and reactions; Nature of C-X bond; Mechanisms of substitution reactions. Uses; Environmental effects of chloroform, iodoform freons, and DDT.
General methods of preparation, properties, reactions, and uses.
ALCOHOLS, PHENOLS, AND ETHERS:
Alcohols: Identification of primary, secondary, and tertiary
alcohols: mechanism of dehydration.
Phenols: Acidic nature, electrophilic substitution reactions:
halogenation, nitration, and sulphonation. Reimer - Tiemann
reaction.
Ethers: Structure.
Aldehyde and Ketones: Nature of carbonyl group;
Nucleophilic addition to >C=O group, relative reactivities of
aldehydes and ketones; Important reactions such as - Nucleophilic
addition reactions (addition of HCN. NH3, and its derivatives),
Grignard reagent; oxidation: reduction (Wolf Kishner and
Clemmensen); the acidity of α-hydrogen, aldol condensation,
Cannizzaro reaction, Haloform reaction, Chemical tests to
distinguish between aldehydes and Ketones.
Carboxylic Acids: Acidic strength and factors
affecting it.
General methods of preparation, properties, reactions, and uses.
Amines: Nomenclature, classification structure,
basic character, and identification of primary, secondary, and
tertiary amines and their basic character.
Diazonium Salts: Importance in synthetic organic
chemistry.
General introduction and importance of biomolecules.
CARBOHYDRATES: Classification; aldoses and ketoses:
monosaccharides (glucose and fructose) and constituent
monosaccharides of oligosaccharides (sucrose, lactose, and
maltose).
PROTEINS: Elementary idea of α-amino acids, peptide
bond, polypeptides. Proteins: primary, secondary, tertiary, and
quaternary structure (qualitative idea only), denaturation of
proteins, enzymes.
VITAMINS: Classification and functions.
NUCLEIC ACIDS: Chemical constitution of DNA and
RNA. Biological functions of nucleic acids.
Hormones: General introduction.
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