JKCET Syllabus
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JKCET Syllabus
JKCET Syllabus for PHYSICS
UNIT 1: PHYSICAL WORLD AND MEASUREMENT (Marks: 02)

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.

UNIT 2: KINEMATICS (Marks: 03)

Motion in a straight line: Positiontime graph, speed and velocity.
Elementary concepts of differentiation and integration for describing motion.
Uniform and nonuniform motion, average speed and instantaneous velocity.
Uniformly accelerated motion, velocitytime graph, positiontime 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.

UNIT 3: LAWS OF MOTION (Marks: 02)

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.)

UNIT 4: WORK, ENERGY AND POWER (Marks: 02)

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.), nonconservative forces; Elastic and
inelastic collisions in one and two dimensions.

UNIT 5: MOTION OF SYSTEM OF PARTICLES AND RIGID BODY (Marks: 02)

Centre of mass of a twoparticle 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.

UNIT 6: GRAVITATION (Marks: 02)

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. Geostationary satellites.

UNIT 7: PROPERTIES OF BULK MATTER (Marks: 02)

Elastic behavior, Stressstrain 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 statelatent heat. Heat
transferconduction, convection and radiation, Newton‘s law of cooling.

UNIT 8: THERMODYNAMICS (Marks: 02)

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)

UNIT 9: BEHAVIOUR OF PERFECT GAS AND KINECTIC THEORY (Marks: 02)

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.

UNIT 10: OSCILLATIONS AND WAVES (Marks: 04)

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 springrestoring force and force constant; energy in
S.H.M. – kinetic and potential energies; Simple pendulumderivation 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.

UNIT 11: ELECTROSTATICS (Marks: 04)

Electric charges: Conservation of charge, Coulomb’s lawforces
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.

UNIT 12: CURRENT ELECTRICITY (Marks: 04)

Electric current, Drift velocity, Ohm’s law, Electrical resistance,
VI characteristics (linear & nonlinear), 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.

UNIT 13: MAGNETIC EFFECTS OF CURRENT AND MAGNETISM (Marks: 05)

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 currentcarrying
conductor in a uniform magnetic field. Force between two parallel
currentcarrying conductorsdefinition 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 ferromagnetic substances with
examples. Electromagnets and factors affecting their strength, permanent
magnets.

UNIT 14: ELECTROMAGNETIC INDUCTION AND ALT. CURRENTS (Marks: 04)

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.

UNIT 15: ELECTROMAGNETIC WAVES (Marks: 02)

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.

UNIT 16: OPTICS (Marks: 07)

Ray opticsReflection of light, spherical mirrors, mirror formula,
refraction of lightTotal internal reflection and its applications,
Refraction at spherical surfaces, lenses, thin lens formula, Lensmakers
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.

UNIT 17: DUAL NATURE OF MATTER AND RADIATION (Marks: 02)

Dual nature of radiation. Photoelectric effect, Hertz and Lenard’s
observations; Einstein’s photoelectric equation; particle nature of light.
Matter waveswave nature of particle, de Broglie relation. DavissionGermer
experiment.

UNIT 18: ATOMS AND NUCLEI (Marks: 03)

Alphaparticle 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. Radioactivityalpha,
beta and gamma particles/rays and their properties; radioactive decay law.
Massenergy relation, mass defect; binding energy per nucleon and its
variation with mass number, nuclear fission and fusion.

UNIT 19: ELECTRONIC DEVICES (Marks: 04)

Quantitative ideas on Energy bands in solids, conductors, insulators
and semiconductors. Semiconductors; Semiconductor diode: IV characteristics
in forward and reverse bias; diode as a rectifier; IV 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.

UNIT 20: COMMUNICATION SYSTEM (Marks: 02)

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

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, deBroglie wave equation and its
significance.

UNIT 2: CHEMICAL EQUILIBRIUM

Law of mass action, LeChatelier‘s principle, and its application to
physical and chemical equilibria. Ionisation of weak electrolytes (Ostwald‘s
dilution law) Acids and bases: Acid base equilibria. BronstedLowry 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

UNIT 3: CHEMICAL KINETICS

Rate of chemical reaction, Average and instantaneous rate, Factors
effecting rate of reaction, Order and molecularity of reaction, Integrated
rate equation and Halflife period (for zero and first order) reaction,
Activation energy and Arrhenius equation.

UNIT 4: SOLUTIONS

Vapour pressure, Raoult‘s law, Ideal and Nonideal solutions,
Colligative properties. Determination of molecular mass of nonvolatile
solutes through colligative properties. Abnormal molecular masses and Van‘t
Hoff Factor.

UNIT 5: CHEMICAL THERMODYNAMICS

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 thermodynamicsfirst,
second & third, Concepts of Entropy and Free energy, Spontaneity of a
chemical reaction and Thermodynamic equilibrium.

UNIT 6: REDOX REACTIONS AND
ELECTROCHEMISTRY

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.

UNIT 7: SOLID STATE & STATES OF
MATTER

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. Coordination number,
Stoichiometric defects: Schottky, Frenkel and interstitial. Properties of
solids: Electrical, Magnetic & Dielectric.

UNIT 8: SURFACE CHEMISTRY

Freundlich Adsorption isotherm, preparation of colloidal solutions by
physical and chemical method. Electrical properties (cataphoresis,
electroosmosis, coagulation and protective colloids) Homogeneous and Heterogeneous
Catalysis.

UNIT 9: PERIODIC PROPERTIES

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.

UNIT 10: CHEMICAL BONDING AND
MOLECULAR STRUCTURE

Types of chemical bonds, Ionic & covalent bonds, Bond parameters,
Quantum theory of covalent bond, pi and sigma bonds, Hybridization involving
s, p and dorbitals, 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.

UNIT 11: CHEMISTRY OF REPRESENTATIVE
ELEMENTS

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.

UNIT 12: TRANSITION ELEMENTS
INCLUDING LANTHANOIDES

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.

UNIT 13: COORDINATION CHEMISTRY

Introduction, Ligands, Coordination Number, IUPAC Nomenclature.
Bonding theories: Werner‘s, VBT and CFT. Isomerism in Coordination compounds
(Ionization, Linkage, Hydrate, Geometrical and Optical). Applications of
Coordination complexes in Biology, Medicine and Analytical Chemistry

UNIT 14: NOMENCLATURE AND BASIC
CONCEPTS IN ORGANIC CHEMISTRY

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.

UNIT 15: HYDROCARBONS

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,LNomenclature), absolute
(R and S system of nomenclature).

UNIT 16: ORGANIC CHEMISTRY BASED ON
FUNCTIONAL GROUPI

Haloalkanes, haloarenes, alcohols and phenols: General methods of
preparation and properties. Choloroform and Iodoform.

UNIT 17: ORGANIC CHEMISTRY BASED ON
FUNCTION GROUPII

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

UNIT 18: ORGANIC CHEMISTRY BASED ON
FUNCTIONAL GROUPIII

Cyanides, Isocyanides, Nitrocompounds and Amines: General methods of
preparation and properties. Relative basic character of amines.

UNIT 19: MOLECULES OF LIFE

Carbohydrates: Definition, Classification, Mutarotation, Structure of
Animoacids, 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.

UNIT 20: POLYMERS

Introduction, Classification, Methods of Polymerisation (Addition,
Condensation, Free Radical, Cationic & Anionic). Natural & Synthetic
Polymers: Polythene, Nylon, Polyster, Bakelite and Rubber. Biodegradable and
NonBiodegradable Polymers.

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JKCET Syllabus for BIOLOGY
UNIT1: DIVERSITY AND CLASSIFICATION
OF PLANTS

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;; Lichensbasic
characteristics. Botanical gardens and herbarium.

UNIT2: MORPHOLOGY AND ANATOMY OF
PLANTS

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.

UNIT3: PLANT PHYSIOLOGY

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 noncyclic);
Dark reactionfixation 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
regulatorsdiscovery, nature and physiological effects of auxins,
gibberellins, cytokinins, ethylene and abscisic acid. Photoperiodism and
vernalisation.

UNIT4: REPRODUCTION IN FLOWERING
PLANTS

Modes of reproduction in flowering plants (Vegetative, asexual,
sexual and micropropagation); development of male and female gametophytes;
Pollination—types, agencies and examples; inbreeding and outbreeding
devices, pollenpistil interaction; double fertilization; postfertilization
events; development of endosperm, embryo, seed and fruit; apomixis and
polyembryony—types and importance.

UNIT5: GENETICS

Heredity and variation (somatic and germinal); Mendel‘s laws of
inheritance; deviations from Mendelism; incomplete dominance; codominance;
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 (lacoperon).

UNIT6: ECOLOGY AND ENVIRONMENT

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.

UNIT 7: BIOLOGY AND HUMAN WELFARE

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.

UNIT8: DIVERSITY IN THE LIVING
WORLD

Characteristic features of living organisms Salient features of
different animal phyla (nonchordates 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.

UNIT9: HISTOLOGY & MORPHOLOGY

Animal Tissues: Epithelial, Connective, Muscular and Nervous.
Elementary knowledge on morphology & anatomy of Frog, Earthworm and
Cockroach.

UNIT10: CELLSTRUCTURE &
FUNCTION

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.

UNIT11: 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.

UNIT12: 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).

UNIT13: 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, HardyWeinberg principle, Adaptive
radiation. Origin and evolution of man.

UNIT14: BIOLOGY AND HUMAN WELFARE

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.

UNIT –15: BIOTECHNOLOGY AND ITS
APPLICATIONS

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

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, codomain 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.

UNIT 2: COMPLEX NUMBER; LINEAR
INEQUATION; LINEAR PROGRAMMING

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.

UNIT 3: SEQUENCE AND SERIES,
PERMUTATION AND COMBINATION & BINOMIAL THEOREM

Sequence and series: Arithmetic progression (A.P), arithmetic mean
(A.M), nth term, sum to nterms of an A.P, Geometric progression (G.P) ,
Geometric Mean (G.M), nth term, sum to nterms 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.

UNIT 4: TRIGONOMETRIC AND INVERSE
TRIGONOMETRY FUNCTIONS

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

UNIT 5: MATRICES AND DETERMINANTS

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.
Noncommutativity of multiplication of matrices and existence of nonzero
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.

UNIT 6: LIMIT, CONTINUITY AND
DIFFERENTIATION

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.

UNIT 7: INTEGRATION AND DIFFERENTIAL
EQUATIONS

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.

UNIT 8: STRAIGHT LINES AND CONIC
SECTIONS

Distance between two points, section, slope of a line, angle between
two lines, various forms of equations of lines, pointslope 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.

UNIT 9: STATISTICS AND PROBABILITY

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.

UNIT 10: VECTORS AND THREE
DIMENSIONAL GEOMETRY

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 skewlines, 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

JKCET Exam Pattern
Paper

Subjects

No. Of Questions

Paper A

Physics, Chemistry

120

Paper B

Biology

60

Paper C

Mathematics

60

Start
Your Test

Marking Scheme
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

Read Here: How
Students Can Manage Their Study Timing
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

COORDINATION 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 GROUP2

3

ORGANIC CHEMISTRY BASED ON FUNCTIONAL GROUP3

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 3D GEOMETRY

6

You
May Read This: How
To Study At The Last Minute For Exams
How to Prepare for JKCET:
 Candidates must know about the complete details regarding their exam such as date, pattern, topics etc.
 Set a fix time for study from your daily routine.
 Divide chapters according to the weightage and manage time for it
 Make correct order for the chapters to be studies, so that u can have revision time also.
 Make sure that you are clear with the concepts before attempting questions for practice.
 When you are complete with all the topics revise it again, practice questions and you are all set to appear for exam.
Instructions For JKBOPEE Examination
 Contenders appearing In the examination should meet the eligibility norms.
 Before going for exam, aspirants are required to go through the exam information carefully.
 It is responsibility of the candidate to show sincere and honest attitude while appearing for examination. Any unfair practice or fraudulent practice will not be acceptable.
 In case, if any aspirant breaks the barriers and violate the rules, strict action will be taken against him/her for such acts.
 There can be criminal proceeding for acts of guilty, or conducting body can cancel the examination as given authority.
Note:
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