JKCET Syllabus
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JKCET
Syllabus
JKCET
Syllabus for PHYSICS
UNIT
1: PHYSICAL WORLD AND MEASUREMENT (Marks: 02)
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S I units, Fundamental and derived units. Accuracy
and precision of measuring instruments, Errors in measurement, Significant
figures. Dimensions of Physical quantities, dimensional analysis and its
applications.
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UNIT
2: KINEMATICS (Marks: 03)
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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 graph,
position-time graphs, relations for uniformly accelerated motion, (graphical
treatment and calculus approach). Scalar and Vector quantities, addition and
Subtraction of vectors, general Vector and notation, Relativen Velocity.
Scalar and Vector products of two vectors with properties, Unit Vector,
Resolution of a Vector in plane rectangular components, Motion in a plane,
Projectile Motion.
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UNIT
3: LAWS OF MOTION (Marks: 02)
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Concept of force and Inertia, Newton‘s First Law of
motion; Momentum and Newton‘s Second Law of motion, Impulse; Newton‘s Third
Law of motion. Law of conversation of linear momentum and its applications,
Equilibrium of concurrent forces. Friction, static and kinetic friction, laws
of friction, rolling friction. Dynamics of uniform circular motion:
Centripetal force and examples of circular motion (vehicle on level circular
road, vehicle on banked road.)
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UNIT
4: WORK, ENERGY AND POWER (Marks: 02)
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Concept of scalar products of vectors, Work done by a
constant force and variable force; kinetic energy, work energy theorem,
power. Potential energy, Potential energy of spring, conservative forces,
conservation of mechanical energy (K.E. and P.E.), non-conservative forces;
Elastic and inelastic collisions in one and two dimensions.
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UNIT
5: MOTION OF SYSTEM OF PARTICLES AND RIGID BODY (Marks: 02)
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Centre of mass of a two-particle system, Centre of
mass of a rigid body; Concepts of vector product of vectors: moment of a
force, torque, angular momentum, conservation of angular momentum with some
examples. Moment of inertia, radius of gyration. Values of moment of inertia
for simple geometric objects (no derivation), statement of parallel and
perpendicular axes theorems and their applications. Rigid body rotation and
equations of rotational motion.
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UNIT
6: GRAVITATION (Marks: 02)
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The universal law of gravitation. Acceleration due to
gravity and its variation with altitude, depth and shape, Kepler’s laws of
planetary motion. Gravitational potential; gravitational potential energy.
Escape velocity. Orbital velocity of satellite. Geo-stationary satellites.
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UNIT
7: PROPERTIES OF BULK MATTER (Marks: 02)
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Elastic behavior, Stress-strain relationship. Hooke‘s
Law, Young‘s modulus, bulk modulus, shear modulus of rigidity. Pressure due
to a fluid column; Pascal‘s law and its applications (hydraulic lift and
hydraulic brakes) Viscosity, Stokes‘ law, terminal velocity, streamline and
turbulent flow, Reynolds number. Bernoulli‘s theorem and its applications
Surface energy and surface tension, angle of contact, applications of surface
tension – ideas to drops, bubbles and capillary rise. Heat, temperature,
thermal expansion; specific heat, calorimetry; change of state-latent heat.
Heat transfer-conduction, convection and radiation, Newton‘s law of cooling.
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UNIT
8: THERMODYNAMICS (Marks: 02)
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Thermal equilibrium and definition of temperature
(zeroth law of thermodynamics),. Heat work and internal energy. First law of
thermodynamics. Second law of thermodynamics: reversible and irreversible
processes. Heat engines and refrigerators (concept only)
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UNIT
9: BEHAVIOUR OF PERFECT GAS AND KINECTIC THEORY (Marks: 02)
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Equation of state of a perfect gas, work done on
compressing a gas. Kinectic theory of gases – assumptions, concept of
pressure. Kinectic energy and temperature: rms speed of gas molecules;
Degrees of freedom, Law of equipartition of energy (Statement only) and
applications to specific heat capacities of gases; concept of Mean free path,
Avagadro’s number.
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UNIT
10: OSCILLATIONS AND WAVES (Marks: 04)
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Periodic motion – 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, resonance. Wave motion. Longitudinal and transverse
waves, speed of a 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, Doppler
effect.
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UNIT
11: ELECTROSTATICS (Marks: 04)
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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 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).
Electric potential, 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, Dielectrics and electric polarization, capacitor
and capacitance, combination of capacitors in series and in parallel,
capacitance of parallel plate capacitor with and without dielectric medium
between the plates, Energy stored in a capacitor. Van de Graff generator.
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UNIT
12: CURRENT ELECTRICITY (Marks: 04)
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Electric current, Drift velocity, Ohm’s law,
Electrical resistance, V-I characteristics (linear & non-linear),
Electrical energy and power, Electrical resistivity and conductivity, Carbon
resistors, Colour code for carbon resistors; 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’s laws and
their applications. Wheatstone bridge, Metre bridge. Potentiometer –
principle and its application to measure the potential difference and for
comparing e.m.f. of two cells; measurement of internal resistance of a cell.
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UNIT
13: MAGNETIC EFFECTS OF CURRENT AND MAGNETISM (Marks: 05)
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Biot – Savart law and its application to current
carrying circular loop. Ampere’s law and its applications to infinitely long
current carrying straight wire, straight and toroidal solenoids. Force on
moving charge in uniform magnetic and electric fields. Cyclotron. Force on a
current-carrying conductor in a uniform magnetic field. Force between two
parallel current-carrying conductors-definition of ampere. Torque experienced
by a current loop in uniform magnetic field; Moving coil galvanometer, its
current sensitivity and conversion with examples. Current loop as a magnetic
dipole and its magnetic dipole moment, magnetic field lines; Earth’s magnetic
field and magnetic elements. Para-, dia- and ferro-magnetic substances with
examples. Electromagnets and factors affecting their strength, permanent
magnets.
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UNIT
14: ELECTROMAGNETIC INDUCTION AND ALT. CURRENTS (Marks: 04)
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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; LC oscillations (qualitative treatment only) &
LCR circuits series, resonance; power in AC circuits, wattles current. AC
generators and transformer.
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UNIT
15: ELECTROMAGNETIC WAVES (Marks: 02)
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Electromagnetic waves and their characteristics.
Transverse nature of electromagnetic waves. Electromagnetic spectrum (radio
waves, microwaves, infrared, visible, ultraviolet, Xrays, gamma rays)
including elementary facts about their uses.
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UNIT
16: OPTICS (Marks: 07)
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Ray optics-Reflection of light, spherical mirrors,
mirror formula, refraction of light-Total internal reflection and its
applications, Refraction at spherical surfaces, lenses, thin lens formula,
Lens-makers Formula, Magnification, Power of a Lens. Combination of thin
lenses in contact, Microscope and Astronomical Telescope (reflecting and
refracting) and their magnifying powers. Wave optics: wave front and Huygens’
principle, reflection and refraction of plane wave at a plane surface using wave
fronts. Proofs of laws of reflection and refraction using Huygen’s principle.
Interferences, 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. Resolving power of microscopes
and astronomical telescopes, Polarisation, plane polarized light; Brewster’s
law, uses of plane polarized light and Polaroid’s.
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UNIT
17: DUAL NATURE OF MATTER AND RADIATION (Marks: 02)
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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.
Davission-Germer experiment.
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UNIT
18: ATOMS AND NUCLEI (Marks: 03)
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Alpha-particle scattering experiment; Rutherford’s
model of atom; Bohr’s model of atom, energy levels, hydrogen spectrum.
Composition and size of nucleus, atomic masses, isotopes, isobars; isotones.
Radioactivity-alpha, beta and gamma particles/rays and their properties;
radioactive decay law. Mass-energy relation, mass defect; binding energy per
nucleon and its variation with mass number, nuclear fission and fusion.
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UNIT
19: ELECTRONIC DEVICES (Marks: 04)
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Quantitative ideas on Energy bands in solids, conductors,
insulators and semiconductors. Semiconductors; Semiconductor diode: I-V
characteristics in forward and reverse bias; diode as a rectifier; I-V
characteristics of LED, photodiode, solar cell and Zener diode; Zener diode
as a voltage regulator. Junction transistor and its action, characteristics
of a transistor; transistor as an amplifier (common emitter configuration)
and oscillator. Logic gates (OR, AND, NOT) concept of NAND and NOR gates.
Transistor as a switch.
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UNIT
20: COMMUNICATION SYSTEM (Marks: 02)
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Basic elements of communication system (block diagram
only), Bandwidth of signals (speech, TV and digital data); Bandwidth of
Transmission medium, Propagation of electromagnetic waves in the atmosphere,
sky and space wave propagation. Need for modulation: Production and detection
of an amplitude modulated wave.
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JKCET
Syllabus for CHEMISTRY
UNIT 1: CHEMICAL ARITHMETIC &
ATOMIC STRUCTURE
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Laws of chemical combination, Mole concept (numericals)
Percentage composition, Chemical reactions, Stoichiometry and calculations
based on stoichiometry. Atomic structure:- Bohr‘s model of Hydrogen atom,
Quantum numbers, Pauli‘s exclusion principle, Hund‘s rule and Aufbau
principle. Heisenberg‘s uncertainty principle, de-Broglie wave equation and
its significance.
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UNIT 2: CHEMICAL EQUILIBRIUM
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Law of mass action, Le-Chatelier‘s principle, and its
application to physical and chemical equilibria. Ionisation of weak
electrolytes (Ostwald‘s dilution law) Acids and bases: Acid base equilibria.
Bronsted-Lowry and Lewis concept, of acids and bases. Ionic product of water.
pH and pOH scales, pKa & pKb values, Solubility product, Buffer solutions
Common ion effect, Hydrolysis of salts
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UNIT 3: CHEMICAL KINETICS
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Rate of chemical reaction, Average and instantaneous rate,
Factors effecting rate of reaction, Order and molecularity of reaction,
Integrated rate equation and Half-life period (for zero and first order)
reaction, Activation energy and Arrhenius equation.
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UNIT 4: SOLUTIONS
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Vapour pressure, Raoult‘s law, Ideal and Non-ideal solutions,
Colligative properties. Determination of molecular mass of non-volatile
solutes through colligative properties. Abnormal molecular masses and Van‘t
Hoff Factor.
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UNIT 5: CHEMICAL THERMODYNAMICS
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Energy changes taking place during chemical reactions,
Internal Energy and Enthalpy changes, Enthalpy of combustion, Solution and
Neutralization. Hess‘s Law (Numerical problems) Laws of thermodynamics-first,
second & third, Concepts of Entropy and Free energy, Spontaneity of a chemical
reaction and Thermodynamic equilibrium.
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UNIT 6: REDOX REACTIONS AND
ELECTROCHEMISTRY
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Dependence of electrode and cell potential on concentration
(Nernst Equation), Electrode potential as a criteria for product formation in
electrolysis. E.M.F. of Galvanic cell, Relationship between free energy
change and E.M.F. of a cell. Definition and units of Equivalent, Molar and
Specific conductivity.
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UNIT 7: SOLID STATE & STATES OF
MATTER
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Boyle‘s Law, Charle‘s law, Dalton‘s law of partial pressure,
Graham‘s law of diffusion of gases. Causes of deviation from ideal behaviour,
ideal gas equation and nature of ‗R‘, Vander Waal‘s equation, surface tension
and viscosity of liquids. Crystalline and amorphous solids, Crystal lattice,
Crystal types, Packing efficiency, calculation of density of unit cell,
Number of atoms per unit cell in a cubic cell. Co-ordination number,
Stoichiometric defects: Schottky, Frenkel and interstitial. Properties of
solids: Electrical, Magnetic & Dielectric.
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UNIT 8: SURFACE CHEMISTRY
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Freundlich Adsorption isotherm, preparation of colloidal
solutions by physical and chemical method. Electrical properties
(cataphoresis, electroosmosis, coagulation and protective colloids)
Homogeneous and Heterogeneous Catalysis.
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UNIT 9: PERIODIC PROPERTIES
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Classification of elements as s, p, d, and f block elements.
Variation of Ionization energy, Electron affinity, Electronegativity, Atomic
and Ionic radii along the period and down the group in the periodic table.
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UNIT 10: CHEMICAL BONDING AND
MOLECULAR STRUCTURE
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Types of chemical bonds, Ionic & covalent bonds, Bond
parameters, Quantum theory of covalent bond, pi and sigma bonds,
Hybridization involving s, p and d-orbitals, Dipole moments and hydrogen
bond. VSEPR: Shapes of simple molecules ( H2O, NH3, SO2, CO2, PCl3, PCl5,
CIF3, BF3, SF4, XeF2, XeF4 ). Molecular orbital theory: Energy Levels and
M.O. diagrams of H2, H2 + ,He2, O2, O 1- 2,O2 2- & F2. Bond order and its
significance.
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UNIT 11: CHEMISTRY OF
REPRESENTATIVE ELEMENTS
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S and P Block Elements: Electron configuration, Oxidation
states and trends in various properties like ionization energy, electron
affinity, atomic radii, electronegativity and diagonal relationship. Alkali
metals: Hydration of ions, action with ammonia, flame colouration, solubility
of hydroxides, carbonates and sulphates. Alkaline Earth Metals: Solubility of
carbonates, hydroxides and sulphates. Boron Family: Structure of halides,
relative acid strength of trihalides of boron. Carbon family: Hydrides and
oxides. Nitrogen family: Oxides of Nitrogen and Phosphorous, reducing nature,
basic strength and boiling points of their halides. Oxygen family:
volatility, thermal stability, acid character, reducing character and bond
angles of their hydrides, oxyacids of sulphur. Halogen family: Bond energy,
colour and oxidizing power, boiling point, acid strength and dipole moment,
thermal stability, reducing power of hydracids, relative acidity and
oxidizing power of oxyacids of halogens.
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UNIT 12: TRANSITION ELEMENTS
INCLUDING LANTHANOIDES
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Electron configuration, Oxidation states, Colour, and Magnetic
properties. Oxides of Vanadium, Chromium and Manganese Alloys of Copper,
Silver and Iron. Metallurgy of Iron, Copper and Zinc.
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UNIT 13: CO-ORDINATION CHEMISTRY
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Introduction, Ligands, Co-ordination Number, IUPAC
Nomenclature. Bonding theories: Werner‘s, VBT and CFT. Isomerism in
Co-ordination compounds (Ionization, Linkage, Hydrate, Geometrical and
Optical). Applications of Co-ordination complexes in Biology, Medicine and
Analytical Chemistry
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UNIT 14: NOMENCLATURE AND BASIC
CONCEPTS IN ORGANIC CHEMISTRY
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Nomenclature of organic compounds (monofunctional and
polyfunctional groups), inductive,eletromeric resonance and hyperconjugation
effects, reaction intermediates, carbocations, carbanions and free radicals
with their general stability order, types of organic reactions (addition,
substitution, elimination and redox reactions), aromaticity on the basis of
Huckel rule. Ortho, meta and para directing groups.
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UNIT 15: HYDROCARBONS
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Structural isomerism in alkanes, alkenes, alkynes and arenes,
stereoisomerism: geometrical and optical isomerism, chirality, origin of
chirality, specific rotation, racemisation and resolution, conformations in
ethane and cyclohexane, relative configuration (D,L-Nomenclature), absolute
(R and S system of nomenclature).
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UNIT 16: ORGANIC CHEMISTRY BASED ON
FUNCTIONAL GROUP-I
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Haloalkanes, haloarenes, alcohols and phenols: General methods
of preparation and properties. Choloroform and Iodoform.
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UNIT 17: ORGANIC CHEMISTRY BASED ON
FUNCTION GROUP-II
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Ethers, Aldehydes, Ketones, Monocarboxylic acids: General
methods of preparation and properties. Derivatives of monocarboxylic acids
like acid halides, acid anhydrides acid amides and esters. Relative strength of
carboxylic acids
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UNIT 18: ORGANIC CHEMISTRY BASED ON
FUNCTIONAL GROUP-III
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Cyanides, Isocyanides, Nitrocompounds and Amines: General
methods of preparation and properties. Relative basic character of amines.
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UNIT 19: MOLECULES OF LIFE
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Carbohydrates: Definition, Classification, Mutarotation,
Structure of Animo-acids, Peptides and Proteins (Molish and ninhydrin tests).
Classification and uses of vitamins. Chemicals in medicine and health care,
Dyes and drugs. Chemical reactions in atmosphere, ozone depletion and its
effects. Acid rain, Green House effect & Global warming.
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UNIT 20: POLYMERS
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Introduction, Classification, Methods of Polymerisation
(Addition, Condensation, Free Radical, Cationic & Anionic). Natural &
Synthetic Polymers: Polythene, Nylon, Polyster, Bakelite and Rubber.
Biodegradable and Non-Biodegradable Polymers.
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JKCET Syllabus for BIOLOGY
UNIT-1: DIVERSITY AND
CLASSIFICATION OF PLANTS
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Systematics—need and history; Salient features of two and five
kingdom systems and their merits and demerits; types of classifications
(artificial, natural and phylogenetic); General characters of algae, fungi,
bryophytes, pteridophytes, gymnosperms and angiosperms; Status of some
acellular organisms like viruses and viroids;; Lichens---basic
characteristics. Botanical gardens and herbarium.
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UNIT-2: MORPHOLOGY AND ANATOMY OF
PLANTS
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Morphology of root, stem and leaf and their modifications;
types of inflorescence, flower, fruit and seed. Description of Liliaceae,
Fabaceae and Solanaceae. Tissues and tissue system: Types of tissues
(meristematic and permanent). Anatomy of dicot and monocot root, stem and
leaves; secondary growth.
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UNIT-3: PLANT PHYSIOLOGY
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Transport in plants: Mechanisms of transport—diffusion,
facilitated diffusion, passive and active transport, antiport and symport.
Plant water relations: Water potential; osmosis; plasmolysis; imbibition;
long distance transport of water; apoplast, symplast pathways; ascent of sap;
root pressure theory, tanspirational pull theory and cohesiontension theory.
Transpiration: mechanism of opening and closing of stomata, guttation; phloem
transport (Mass Flow hypothesis), diffusion of gases. Mineral Nutrition:
Essential Minerals; macro and micro nutrients—their role and deficiency
symptoms and mineral toxicity. Mechanism of nutrient uptake by plants from
soil. Hydroponics. Nitrogen metabolism—nitrogen cycle, nitrogen fixation.
Photosynthesis: site of photosynthesis; various photosynthetic pigments;
mechanism of light reaction; photophosphorylation (cyclic and non-cyclic);
Dark reaction-fixation of carbon dioxide (C3 cycle, C4 cycle); factors
affecting photosynthesis; photorespiration. Respiration: Exchange of gases,
cellular respiration; glycolysis, Krebs cycle, Electron Transport System;
Aerobic and anaerobic respiration; respiratory quotient. Growth and
Development: Characteristics and phases of plant growth; growth curve;
differentiation, dedifferentiation and redifferentiation; plant growth
regulators-discovery, nature and physiological effects of auxins,
gibberellins, cytokinins, ethylene and abscisic acid. Photoperiodism and
vernalisation.
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UNIT-4: REPRODUCTION IN FLOWERING
PLANTS
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Modes of reproduction in flowering plants (Vegetative,
asexual, sexual and micropropagation); development of male and female
gametophytes; Pollination—types, agencies and examples; in-breeding and
out-breeding devices, pollen-pistil interaction; double fertilization;
post-fertilization events; development of endosperm, embryo, seed and fruit;
apomixis and polyembryony—types and importance.
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UNIT-5: GENETICS
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Heredity and variation (somatic and germinal); Mendel‘s laws
of inheritance; deviations from Mendelism; incomplete dominance;
co-dominance; multiple alleles; pleiotropy; Polygenic Inheritance;
Chromosomal Theory of Inheritance. Evidence for DNA as genetic material;
structure of DNA and RNA; DNA packaging; DNA replication; Protein
synthesis—trancription, translation, genetic code; gene expression and
regulation (lac-operon).
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UNIT-6: ECOLOGY AND ENVIRONMENT
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Meaning of ecology, community, niche. Population and
ecological adaptations: Characteristics of populations natality, fecundity
& mortality, age distribution; population interactions, competition,
predation, parasitism and mutualism. Ecosystems: Biotic and abiotic
components; energy flow, nutrient cycling (carbon and phosphorus),
decomposition and primary productivity; pyramids of number, biomass and energy;
ecological succession types. Food chain and food web. Biodiversity and its
conservation: threats to biodiversity; megabiodiversity countries and
biodiversity hotspots; IUCN threat categories; in situ and ex situ methods of
biodiversity conservation. Environmental issues: Causes and consequences of
air and water pollution and their control; solid waste management;
agrochemicals and their effect; greenhouse effect and global warming;
stratospheric ozone layer depletion—causes and consequences.
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UNIT- 7: BIOLOGY AND HUMAN WELFARE
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Plant breeding: Introduction, steps in plant breeding and
application of plant breeding; Biofortification, Tissue culture: Cellular
totipotency; technique and application of tissue culture Microbes in human
welfare: Role of microbes in food processing; industrial production; sewage
treatment; energy production (biogas); biopesticides and biofertilizers .
Genetically Modified Organisms (GMOs); Bt crops, biopiracy and patents.
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UNIT-8: DIVERSITY IN THE LIVING
WORLD
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Characteristic features of living organisms Salient features
of different animal phyla (non-chordates upto phylum level, chordates upto
class level) National parks of India with special reference to J&K
State:- Dachigam National Park,Hemis High altitude National park and Kishtwar
High altitude National park.
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UNIT-9: HISTOLOGY & MORPHOLOGY
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Animal Tissues:- Epithelial, Connective, Muscular and Nervous.
Elementary knowledge on morphology & anatomy of Frog, Earthworm and
Cockroach.
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UNIT-10: CELL-STRUCTURE &
FUNCTION
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Modern cell theory, Prokaryotic and eukaryotic cells, cell
wall, cell membrane :- structure & function (fluid mosaic model). Cell
organelles (Plastids, Mitochondria, Endoplasmic reticulum, Golgi bodies/
dictyosomes, Riobosomes, Lysosomes, Nucleus, Vacuoles, Centrioles, cilia
& Flagella) Cell division: Cell cycle, Mitosis and Meiosis Bio molecules:
Structure and function of carbohydrates, proteins, lipids and nucleic acids.
Primary and secondary metabolites. Metabolism Enzymes: Types, properties
functions and factors controlling enzyme activity.
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UNIT-11: HUMAN PHYSIOLOGY
|
Alimentary canal, digestion and absorption of food, disorders
of digestive system (jaundice, vomiting, diarrhea, constipation, indigestion
etc.) Respiratory organs, mechanism of breathing, respiratory volumes and
capacities, transport of gases (oxygen and carbon dioxide), disorders of
respiratory system (asthma, emphysema, fibrosis etc.) Circulatory system:-
Blood & lymph and their functions, blood groups, coagulation of blood,
human heart, cardiac cycle, ECG, double circulation, disorders of circulatory
system. (hypertension, coronary artery disease, angina, heart failure).
Excretory products and their elimination. Modes of Excretion; Ammonotelism,
Ureotelism and Uricotelism. Human excretory system, urine formation,
functions of tubules, mechanism of concentration of the filtrate, regulation
of kidney function, micturition, role of other organs in excretion (lungs,
liver and skin), haemodialysis and peritoneal dialysis, disorders of the excretory
system (kidney failure, glomerulonephritis, renal calculi) Types of movement
(amoeboid, ciliary and muscular), different types of muscles, structure of
contractile proteins (actin and myosin), mechanism of muscle contraction,
joints, disorders of muscular and skeletal system (Myasthenia gravis,
muscular dystrophy, tetany, arthritis, gout, osteoporosis) Human nervous
system, neuron as a structural and functional unit of nervous system,
generation and conduction of nerve impulse, transmission of impulses, reflex
action and reflex arc, structure and functioning of the sense organs (eye and
ear) Endocrine glands, Mechanism of hormone action, hormones of heart, kidney
and gastrointestinal tract.
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UNIT-12: REPRODUCTION
|
Asexual reproduction:- Characteristics and types of asexual
reproduction (binary fission, sporulation, budding, gemmules, fragmentation,
regeneration). Human reproduction:- male and female reproductive system,
microscopic anatomy of testis and ovary, spermatogenesis and oogenesis,
menstrual cycle, fertilization, embryo development upto blastocyst formation,
implantation, pregnancy and placenta formation, parturition and lactation
Reproductive health:- need for reproductive health, sexually transmitted
diseases and their control and prevention. Birth control :- its need and
methods, contraception and medical termination of pregnancy (MPT),
amniocentesis, infertility and associated reproductive technologies
(IVF,ZIFT,GIFT).
|
UNIT-13: GENETICS AND EVOLUTION
|
Sex determination in humans, birds and honey bee. Inheritance
pattern of Mendelian disorders in humans (colour blindness, haemophilia,
cystic fibrosis, sickle- cell anaemia, phenylketonuria, thalesemia )
Chromosomal disorders in humans:- Down‘s syndrome, Turner‘s syndrome and Klinefelter‘s
syndrome Genome and human genome project. DNA fingerprinting. Origin of life,
theories and evidences for evolution with special reference to Darwinian
theory, and Modern synthetic theory, Hardy-Weinberg principle, Adaptive
radiation. Origin and evolution of man.
|
UNIT-14: BIOLOGY AND HUMAN WELFARE
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Health and Diseases:- basic concepts of immunology, vaccines,
common diseases in human beings (their causative agents, symptoms, prevention
and control) with reference to thyphoid, hepatitis, malaria, filariasis,
bubonic plague, ascariasis, common cold, amoebiasis and ring worm. Detailed
account of diseases like cancer and HIV/ AIDS. Insects and human welfare:-
Silk, honey and lac producing insects, their life- cycle and usefulness of
their products. Poultry and Diary Farming. Adolescence and drug and alcohol
abuse (effects of drug/ alcohol abuse, prevention and control.
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UNIT –15: BIOTECHNOLOGY AND ITS
APPLICATIONS
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Genetic engineering (recombinant DNA technology), cloning.
Biotechnological production of human insulin, vaccines and growth hormone.
Gene therapy.Bio safety/ ethical issues regarding recombinant DNA technology.
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JKCET
Syllabus for MATHEMATICS
UNIT
1: SETS, RELATIONS AND FUNCTIONS
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Sets and their representation, finite and infinite
sets, empty set subsets, subset of real numbers especially intervals, power
set, universal set. Venn diagram, union and intersection of sets. Difference
of sets, Compliment of a set. Ordered pairs, Cartesian product of sets,
number of elements in the Cartesian product of two finite sets. Relations,
Domain, co- domain and range of relation, types of relations, reflexive,
symmetric, transitive and equivalence relations. Functions as special kind of
relations from one set to another, domain, co-domain and range of a function.
One to one, onto functions. Real valued functions of the real variable;
constant, identity, polynomial, rational, modulus, signum and the greatest
integer functions with their graphs. Sum, difference, product and quotients
of functions. Composition of functions, inverse of a function, binary
operations.
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UNIT
2: COMPLEX NUMBER; LINEAR INEQUATION; LINEAR PROGRAMMING
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Complex number: Conjugate of a complex number,
modulus and amplitude (argument) of a complex number, Argand‘s plane and
polar representation of complex numbers, algebraic properties of complex
numbers. Fundamental theorem of algebra, solution of Quadratic equation in
the complex number system. Square root of a complex number. Linear
inequation: Algebraic solution of linear inequalities in one variable and two
variables. Linear programming: Introduction , definition of related
terminology such as constraints, objective function, optimization, different
type of linear programming problem (L.P), mathematical formulation of L.P
problem, graphical method of solution for problems in two variables, feasible
and infeasible regions, feasible and infeasible solutions, optimal feasible
solutions.
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UNIT
3: SEQUENCE AND SERIES, PERMUTATION AND COMBINATION & BINOMIAL THEOREM
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Sequence and series: Arithmetic progression (A.P),
arithmetic mean (A.M), nth term, sum to n-terms of an A.P, Geometric
progression (G.P) , Geometric Mean (G.M), nth term, sum to n-terms and sum to
infinity of a G.P. Relation between A.M and G.M. Sum to n terms of .
Permutation and combination: Fundamental principle of counting, factorial n,
permutations P(n,r) and combinations C(n,r), simple applications. Binomial
Theorem:. Binomial theorem for positive integral power. general and middle
terms in the Binomial expansion. Pascal‘s triangle and simple applications.
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UNIT
4: TRIGONOMETRIC AND INVERSE TRIGONOMETRY FUNCTIONS
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Positive and negative angles, measuring angles in
radians and in degrees, Conversion from one measure to another. Definition of
trigonometric functions with the help of unit circle. Periodicity of
Trigonometric functions. Basic Trigonometric identities sin2 x+cos2 x=1 for
all Sign of x etc. Trigonometric functions and their graphs. Expressions
for
y)± y),cot(x ±y),tan(x ± y),cos(x ±sin(x , sum
and product formulae. Identities related to Sin2x, Cos2x, tan2x, Sin3x, Cos3x,
and tan3x. General and principal solutions of trigonometric equations of the
type Sin x= Sin a, Cos x= Cos a , Tan x= Tan a. Inverse trigonometric
functions, range, domain, principal value branches. Graphs of inverse
trigonometric functions, elementary properties of inverse trigonometric functions
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UNIT
5: MATRICES AND DETERMINANTS
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Matrices, concepts, notation, order, equality, types
of matrices, Zero matrix, transpose of matrix, Symmetric and skew symmetric
matrices. Addition, multiplication, scaler multiplication of matrices, simple
properties of addition, multiplication and scaler multiplication of matrices.
Non-commutativity of multiplication of matrices and existence of non-zero
matrices whose product is the zero matrix (order 2x2). Concept of elementary
row and column operation, Invertible matrices and uniqueness of inverse, if
it exists. (Matrices with real entries). Determinants of square matrix (upto
3x3 matrices) properties of determinants, minors, cofactors and applications
of determinants in finding area of a triangle. Adjoint and inverse of a
square matrix. Consistency, inconsistency and number of solutions of system
of linear equations by examples, solving system of linear equations in two or
three variables using inverse of a matrix.
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UNIT
6: LIMIT, CONTINUITY AND DIFFERENTIATION
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Concept of limit of a function. Theorems on Limits,
Evaluation of limits using standard results x Sinx x 0 lim ® , x a
x a n n -x a - ® lim , Continuity of a function at
a point. Continuity of Sum, product and quotient of functions. Derivative:
definition of a derivative of a function, geometrical interpretation of the
derivative. Derivative of sum, difference, product and quotient of two
or more functions.Ø Derivative of algebraic and composite
functions.Ø Derivative of trigonometric and inverse trigonometric
functions.Ø Chain rule, derivative of implicit functions.Ø
Derivative of logarithmic and exponential functions.Ø Logarithmic
differentiation.Ø Derivative of functions expressed in parametric
forms.Ø Second order derivatives. Rolle‘s and Lagrange‘s Mean
Value Theorem and their geometrical interpretation and their simple
applications.Ø Application of Derivative: rate of change, increasing and
decreasing functions, tangents and normals, approximation, maxima and minima
(first derivative and second derivative test). Simple problems.
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UNIT
7: INTEGRATION AND DIFFERENTIAL EQUATIONS
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Integration as inverse process of differentiation.
Integration of variety of functions by Substitution, by parts, by partial
fractions. Simple integrals of the type: Definite integrals as a Limit of a
sum. Fundamental Theorem of calculus. Basic properties of definite integrals
Evaluation of definite integrals. Application of integrals: Application in
finding the area under simple curves, especially lines. Areas of circles,
parabolas and ellipses (in standard form) Area under the curve y= Sinx, y=
Cosx, area between the above two curves. Differential Equations: Definition,
order and degree of a differential equation. General and particular solutions
of a differential equation. Formation of a differential equation whose
general solution is given. Solution of differentiation equation by method of
separation of variables. Solution of Homogeneous differential equation of
first order and first degree.
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UNIT
8: STRAIGHT LINES AND CONIC SECTIONS
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Distance between two points, section, slope of a
line, angle between two lines, various forms of equations of lines,
point-slope form, intercept form, two point form, and normal form. General
equation of a line, distance of a point from a line. Conic Section: Sections
of a cone, circles, parabola, ellipse, hyperbola, a point, a straight line
and a pair of intersecting lines as a degenerated case of conic section.
Standard equation of a circle, parabola, ellipse, and hyperbola and their
simple properties.
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UNIT
9: STATISTICS AND PROBABILITY
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STATISTICS Measure of dispersion, mean, deviation,
variance and standard deviation of ungrouped/ grouped data. Analysis of
frequency distribution with equal means but different variances. PROBABILITY
: Random Experiment: outcome, sample spaces. Events: Mutually exclusive and
exhaustive events. Axiomatic (set theoretic) probability, probability of an
event, probability of ―Not‖ and ―Or‖ events. Multiplication theorem on
probability, conditional probability, independent events, total probability,
Baye‘s theorem, random variable and its probability, distribution, mean and
variance of a random variable. Repeated independent (Bernouli) trials and
Binomial distribution.
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UNIT
10: VECTORS AND THREE DIMENSIONAL GEOMETRY
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Vectors and scalars, magnitude and direction of a
vector Direction Cosines and ratios of a vector. Types of vector, equal,
zero, unit, parallel and collinear vectors. Position vector of a point ,
negative of a vector, components of a vector, addition of vectors, Scalar
multiplication, position vector of a point dividing a line segment in a given
ratio. Scalar (dot) product of vectors, projection of a vector on a line.
Vector (cross) product of vectors, Scalar triple product. Coordinate axes and
Coordinate planes in three dimensions of a point, distance between two points
and sectional formula. STRAIGHT LINES AND SPACE Direction cosines and
direction ratios of a line joining two points. Cartesian and vector equation
of a line ( in various forms), coplanar and skew-lines, shortest distance
between two lines. PLANES Cartesian and vector equation of a plane( in
various forms). Distance of a point from a plane. Angle between: i. Two lines
ii. Two planes. iii. A line and a plane
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JKCET
Exam Pattern
Paper
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Subjects
|
No. Of Questions
|
Paper A
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Physics, Chemistry
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120
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Paper B
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Biology
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60
|
Paper C
|
Mathematics
|
60
|
For
Physics:
TOPICS
|
(MARKS)
|
PHYSICAL WORLD AND MEASUREMENT
|
2
|
KINEMATICS
|
3
|
LAWS OF MOTION
|
2
|
WORK, ENERGY AND POWER
|
2
|
MOTION OF SYSTEM OF PARTICLES AND RIGID BODY
|
2
|
GRAVITATION
|
2
|
PROPERTIES OF BULK MATTER
|
2
|
THERMODYNAMICS
|
2
|
BEHAVIOUR OF PERFECT GAS AND KINETIC THEORY
|
2
|
COMMUNICATION SYSTEM
|
2
|
OSCILLATIONS AND WAVES
|
4
|
ELECTROSTATICS
|
4
|
CURRENT ELECTRICITY
|
4
|
MAGNETIC EFFECTS OF CURRENT AND MAGNETISM
|
5
|
ELECTROMAGNETIC INDUCTION AND ALT. CURRENTS
|
4
|
ELECTROMAGNETIC WAVES
|
2
|
OPTICS
|
7
|
DUAL NATURE OF MATTER AND RADIATION
|
2
|
ATOMS AND NUCLEI
|
3
|
ELECTRONIC DEVICES
|
4
|
For
Chemistry:
TOPICS
|
(MARKS)
|
CHEMICAL ARITHMETIC AND ATOMIC STRUCTURE
|
3
|
CHEMICAL EQUILIBRIUM
|
4
|
CHEMICAL KINETICS
|
2
|
SOLUTIONS
|
2
|
CHEMICAL THERMODYNAMICS
|
4
|
REDOX REACTIONS AND ELECTROCHEMISTRY
|
3
|
SOLID STATE AND STATES OF MATTER
|
4
|
SURFACE CHEMISTRY
|
2
|
PERIODIC PROPERTIES
|
2
|
POLYMERS
|
3
|
CHEMICAL BONDING AND MOLECULAR STRUCTURE
|
4
|
CHEMISTRY OF REPRESENTATIVE ELEMENTS
|
4
|
TRANSITION ELEMENTS INCLUDING LANTHANOIDES
|
2
|
CO-ORDINATION CHEMISTRY
|
4
|
NOMENCLATURE AND BASIC CONCEPTS IN ORGANIC CHEMISTRY
|
3
|
HYDROCARBONS
|
3
|
ORGANIC CHEMISTRY BASED ON FUNCTIONAL GROUP -1
|
2
|
ORGANIC CHEMISTRY BASED ON FUNCTIONAL GROUP-2
|
3
|
ORGANIC CHEMISTRY BASED ON FUNCTIONAL GROUP-3
|
3
|
MOLECULES OF LIFE
|
3
|
For
Mathematics:
Topics
|
Marks
|
SETS, RELATIONS AND FUNCTIONS
|
6
|
COMPLEX NUMBER, LINEAR EQUATION, LINEAR PROGRAMMING
|
6
|
INTEGRATION AND DIFFERENTIAL EQUATION
|
7
|
STRAIGHT LINES AND CONIC SECTIONS
|
5
|
STATISTICS AND PROBABILITY
|
6
|
SEQUENCE AND SERIES, PERMUTATION AND COMBINATION,
BINOMIAL THEOREM
|
6
|
TRIGNOMETRIC AND INVERSE TRIGNOMETRIC FUNCTIONS
|
6
|
MATRICES AND DETERMINANTS
|
4
|
LIMIT, CONTINUITY AND DIFFERENTIATION
|
8
|
VECTORS AND 3-D GEOMETRY
|
6
|
Important Links: Take a close look on these links-
Take a Look on Below Table
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