TJEE Exam 2027: Date, Application Form, Eligibility, Syllabus, Counselling

Mathematics: Unit 01

• Sets: Sets and their representations. Empty set. Finite and infinite sets. Equal sets. Subsets of the set of real numbers especially intervals (with notations). Power set. Universal set. Venn diagrams. Operations on set, union and intersection
• Sets: Difference of sets, complement of a set. Properties of complement sets. Simple problems on union and intersection on not more than three sets
• Relations and mapping: Ordered pairs. Cartesian product of sets. Number of elements in the Cartesian product of two finite sets. Cartesian product of the reals with itself (upto R x Rx R)
• Relations and mapping: Different types of relations, pictorial diagrams, domain, co-domain and range of a relation. Function as a special kind of relation from one set to another
• Relations and mapping: Pictorial representation of a function, domain, co-domain and range of a function. Real valued functions of real variables, domain and range of these functions. Different types of functions. Graphs of function
• Relations and mapping: Sum, difference, product and quotients of functions

Mathematics: Unit 02

• Sequence and Series: Arithmetic progression (A.P.), arithmetic mean (A.M.), geometric progression (G.P.), geometric mean (G.M.). Sum of n terms of A.P. and G.P., relation between A.M. and G.M of two real numbers
• Sequence and Series: Arithmetic, geometric and arithmetrico geometric series. Sum to n terms of the special series Σn ,Σn² and Σn³. Infinite G.P. and its sum
• Complex numbers: Complex numbers as ordered pair of reals, representation of a complex number in form of a+ ib. Polar form and conjugate of a complex number, Argand diagram, algebra of complex numbers, modulus and argument of a complex number
• Complex numbers: Square and cube root of complex numbers and their properties, triangle inequality, simple problems
• Quadratic equations: Its rational, irrational and complex roots, relation between roots and coefficients of a quadratic equation, nature of roots, formation of quadratic equation, symmetric functions of the roots, quadratic expressions
• Quadratic equations: Its maximum and minimum values. Simple applications
• Permutations and combinations: Fundamental theorem of counting, permutation as arrangement and combination as selection. Permutation and combination of like and unlike things. Circular permutation is to be excluded. Simple applications

Mathematics: Unit 03

• Binomial theorem: Binomial theorem for positive integral indices, general and middle term, term independent of x and greatest term in binomial expansion, simple applications
• Matrices and determinant: Matrices of order ≤ 3, algebra of matrices, types of matrices, determinant up to 3rd order. Properties of determinants, evaluation of determinants, area of triangle by using determinant
• Matrices and determinant: Adjoint and evaluation of inverse of a square matrix using determinant and by elementary transformations test of consistency and solution of simultaneous linear equations using inverse of a matrix and determinants (Cramer’s rule)

Mathematics: Unit 04

• Trigonometric ratios of associated angles, compound angles, multiple and submultiple angles, conditional identities, general solution of trigonometric equations, inverse circular functions, simple applications
• Properties of triangles: Sine, cosine, tangent rules, formula for semi angels, expression for area of a triangle, circum radius

Mathematics: Unit 05

• Straight line: Cartesian coordinate system, translation of coordinate axes, locus of a point, slope of a line and angle between two lines. Various forms of equations of a line: Parallel to axes, point-slope form, slope-intercept form, two-point form
• Straight line: Intercept form and normal form. General equation of a line, concurrence of three straight lines. Equation of family of lines passing through the point of intersection of two lines. Distance of a point from a line
• Straight line: Equation of internal and external bisectors of angles between two intersecting lines, centroid, orthocenter, circum centre of a triangle
• Conic sections: Standard form of equation of circle, general form of the equation of a circle, its radius and centre, equation of a circle when the end points of a diameter are given
• Conic sections: Point of intersection of a line and a circle with the centre at origin and condition for a line to be tangent to a circle, equation ofthe tangent and simple properties
• Conics: Parabola, ellipse, hyperbola in standard form, condition for y = mx+c to be a tangent and their simple properties

Mathematics: Unit 06

• Vectors: Idea of vectors and scalars, types of vector, components of a vector in two and three dimensional space, triangle and parallelogram laws of vectors, scalars and vector products, scalar triple product
• Vectors: Geometrical representation of product of vectors. Simple applications
• Three dimensional geometry: Direction angles, direction cosines/ ratios of a line joining two points. Orthogonal projection of a line segment on a straight line. Cartesian and vector equation of a line, coplanar and skew lines
• Three dimensional geometry: Shortest distance between two lines Cartesian and vector equation of a plane in Cartesian and vector forms. Angle between-(i) two lines, (ii) two planes, (iii) a line and a plane. Distance of a line and plane from a point
• Three dimensional geometry: Condition of co-planarity of two straight lines, condition for a straight line to lie on a plain and simple applications

Mathematics: Unit 07

• Continuity and differentiability: Limit, continuity, and differentiability of function, derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivate of implicit functions
• Continuity and differentiability: Concept of exponential and logarithmic functions. Logarithmic functions as inverse of exponential functions. Derivatives of different types of functions. Second order derivatives
• Continuity and differentiability: Rolle’s theorem and Lagrange’s mean value theorems (without proof) and their geometric interpretations and simple applications. Indeterminate forms using L’ Hospital rule

Mathematics: Unit 08

• Integral calculus: Integration as inverse process of differentiation.Integration of a variety of functions by substitution, by partial fractions and by parts. Only simple integrals of the following type to be evaluated
• Integral calculus: ∫dx/ x² ∓ a², ∫dx/ √ a² ∓ x², ∫dx/ √ x² ∓ a, ∫dx/ ax² + bx + c, ∫ px + q/ √ ax² + bx + c dx, ∫ √ x² ∓ a dx, ∫ √ ax + bx + c dx, ∫ ( px + q) √ ax + bx + c dx, ∫ (lcosx + msinx)/ pcosx + qsinx + c dx, ∫ dx/ a + bcosx, ∫ dx/ a + bsinx
• Integral calculus: ∫ e ax sinbx dx, ∫ e ax cosbx dx, ∫ e x [ f(x) + f (X)] dx
• Integral calculus: Definite integrals as a limit of a sum. Fundamental theorem of calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals
• Differential equations: Definitions, order and degree, general and particular solutions of a differential equation. Formation of different equation whose general solution is given
• Differential equations: Solution of differential equations by method of specification of variables
• Differential equations: Homogeneous differential equations of first order and first degree solutions of linear differential equation of the type: _x005Fdy/ dx _x005F+ py = q_x005F, where _x005F _x005Fp and q_x005F are functions of _x005F only

Mathematics: Unit 09

• Applications of derivatives: Rate of change, approximation of functions increasing, decreasing functions, tangent and normal, maxima and minima. Simple applications
• Application of the integrals: Area of finite region bounded by curves

Mathematics: Unit 10

• Probability: Probability of an event, probability of ‘not’, ‘and’ and ‘or’ events. Multiplication theorem on probability, conditional probability, dependent and independent events, total probability, Baye’s theorem
• Probability: Random variable and its probability distribution, mean and variance of random variable. Repeated independent (Bernoulli) trials and binomial distribution its mean and variance
• Statistics: Measure of dispersion; mean deviation, variance and standard deviation of ungrouped/ grouped data. Analysis of frequency distributions with equal means but different variances
• Mathematical reasoning: Mathematically acceptable statements. Connecting words/ phrases-consolidating the understanding of ‘if and only if (necessary and sufficient) condition”, “implies”, “and/or”, “implied by”, ” and”, “or”
• Mathematical reasoning: Connecting words/ phrases-consolidating the understanding of “there exists” and their use through variety of examples related to real life and mathematics.
• Mathematical reasoning: Validating the statements involving the connecting words difference between contradiction. Converse and contrapositive, truth table
• Linear inequalities: Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line. Graphical solution of linear inequalities in two variables
• Linear inequalities: Solution of system of linear inequalities in two variables-graphically. Inequalities involving modulus function
• Linear programming: Mathematical formulation of L.P. problems in two variables-diet problem, manufacturing problem, transportation problem, investment problem, graphical method of solution for problems in two variables
• Linear programming: Feasible and infeasible regions, feasible and infeasible solutions, optimal feasible solutions (upto three non-trivial constraints)

Biology: Unit 01

• Classification of living organism: (a) Concept of diversity, ( b) need for classification, (c) taxonomy and systematics; concept of species and taxonomic hierarchy, (d) binomial nomenclature
• Classification of living organism: (e) Tools for study of taxonomy-museums, zoos, herbaria, botanical gardens, (f) lichens, virus and viroids
• Five kingdom classification: (a) Salient features and classification of monera, protista and fungi into major groups, (b) salient features and classification of plants into major groups-algae, bryophytes, pteridophytes, gymnosperms and angiosperms
• Five kingdom classification: (b) Algae, bryophytes, pteridophytes, gymnosperms and angiosperms-three to five salient and distinguishing features of each category and atleast two examples of each
• Five kingdom classification: (c) Angiosperms-classification up to classes, characteristic features and examples
• Five kingdom classification: (d) Salient features and classification of animals-non chordate up to phyla level and chordate up to classes level (three to five salient features and at least two examples)

Biology: Unit 02

• Tissues in animals and plants
• Morphology and modifications of flowering plants-root, stem and leaf; functions of different parts of flowering plants, microscopic anatomy of root, stem and leaf
• (a) Inflorescence-cymose and racemose, (b) flower-different parts of flower, classification of flower based on symmetry and position of ovary on the thalamus, (c) fruit-types of fruits-legume, drupe, sorosis, parthenocarpic fruit
• (d) Seed-structure of dicot and monocot seed
• Morphology, anatomy and functions of different systems (digestive, circulatory, respiratory, nervous and reproductive) of an insect (cockroach) (brief account only)

Biology: Unit 03

• Cell theory and cell as the basic unit of life
• Structure of a prokaryotic and eukaryotic cell, plant cell and animal cell (brief)
• Cell envelope, cell membrane, cell wall
• Cell organelles-structure and function: (a) Endomembrane system-endoplasmic reticulum, golgi bodies, lysosomes, vacuoles, (b) mitochondria, plastids, ribosomes, (c) cytoskeleton, cilia and flagella, centrioles (ultra structure and function)
• Cell organelles-structure and function: (d) Nucleus-nuclear membrane, chromatin, nucleolus
• Chemical constituents of living cells: (a) Biomolecules-structure and function of proteins, carbohydrates, fats, nucleic acids, (b) enzymes-types, properties, enzyme action
• Cell division-cell cycle, mitosis, meiosis and their significance

Biology: Unit 04

• Transport in plants: (a) Means of transport and plant-water relations: Diffusion, facilitated diffusion, active transport. Imbibition, water potential, osmosis, plasmolysis, (b) long distance transport-apoplast, symplast, root pressure, transpiration pull
• Transport in plants: (c) Transpiration-opening and closing of stomata (K+ ion hypothesis), guttation, (d) uptake and translocation of mineral nutrients-phloem transport, mass flow hypothesis
• Mineral nutrition: (a) Essential minerals, macro-and micronutrients and their role; deficiency symptoms, (b) toxicity of micronutrients, (c) elementary idea of hydroponics as a method to study mineral nutrition
• Mineral nutrition: (d) Nitrogen cycle-non-biological nitrogen fixation, biological nitrogen fixation
• Plant respiration: (a) Cellular respiration-glycolysis, fermentation (anaerobic), TCA cycle and electron transport system (aerobic), number of ATP molecules generated, (b) amphibolic pathways, (c) respiratory quotient of nutrients
• Photosynthesis: (a) Autotrophic nutrition, site of photosynthesis, photosynthetic pigments (elementary idea), (b) photochemical and biosynthetic phases of photosynthesis, cyclic and non cyclic photophosphorylation, chemiosmotic hypothesis
• Photosynthesis: (c) Photorespiration, C and C pathways, (e) factors affecting photosynthesis, law of limiting factors
• Plant growth and development: (a) Phases of plant growth and plant growth rate, conditions of growth, (b) differentiation, dedifferentiation and redifferentiation, (c) growth regulators (elementary idea)-auxin, gibberellin, cytokinin, ethylene, ABA
• Plant growth and development: (d) Photoperiodism, role of phytochrome in flowering, (f) seed germination, seed dormancy, (g) vernalisation (elementary idea)

Biology: Unit 05

• Digestion and absorption: (a) Human alimentary canal and digestive glands, (b) digestion, absorption and assimilation of proteins, carbohydrates and fats, (c) role of gastrointestinal hormones, (d) peristalsis
• Digestion and absorption: (e) Calorific value of proteins, carbohydrates and fats, (f) nutritional and digestive disorders (in brief)-P.E.M., indigestion, constipation, vomiting, jaundice
• Breathing and Respiration: (a) Respiratory system in humans, (b) mechanism of breathing, (c) exchange and transport of gases, (d) regulation of respiration in human, (d) respiratory volumes
• Breathing and Respiration: (e) Disorders related to respiration (in brief)-asthma, emphysema, occupational respiratory disorders
• Bodyfluids and circulation: (a) Composition of blood, blood groups, coagulation of blood, (b) composition of lymph and its function, (c) structure of human heart and blood vessels, (d) cardiac cycle, cardiac output, ECG, (d) double circulation
• Bodyfluids and circulation: (e) Regulation of cardiac activity, (f) disorders of circulatory system (in brief)-hypertension, coronary artery disease, angina pectoris, heart failure
• Excretory products and their elimination: (a) Modes of excretion-ammonotelism, ureotelism, uricotelism, (b) human excretory system-structure and function, (c) urine formation, osmoregulation
• Excretory products and their elimination: (d) Regulation of kidney function-renin, angiotensin, antinatriuretic factor, ADH and diabetes insipidus, (e) role of other organs in excretion-skin, liver, lung
• Excretory products and their elimination: (f) Disorders (in brief)-uraemia, renal failure, renal calculi, nephritis, (g) dialysis and artificial kidney
• Locomotion and movement: (a) Types of movement in human being-ciliary, flagellar, muscular, (b) skeletal muscle-contractile proteins and muscle contraction, (c) skeletal system and its functions, (d) joints
• Locomotion and movement: (e) Disorders of muscular and skeletal system (in brief)-myasthenia gravis, tetany, muscular dystrophy, arthritis, osteoporosis, gout
• Neural control and coordination: (a) Neuron and nerves, (b) nervous system in human: Central nervous system, peripheral nervous system and visceral nervous system, (c) generation and conduction of nerve impulse, (d) reflex action
• Neural control and coordination: (e) Sense organs and sensory perception, (e) elementary structure and function of eye and ear
• Chemical coordination and regulation: (a) Endocrine glands and hormones, (b) human endocrine system-hypothalamus, pituitary, pineal, thyroid, parathyroid, adrenal, pancreas, gonads, (c) mechanism of hormone action (elementary idea)
• Chemical coordination and regulation: (d) Role of hormones as messengers and regulators
• Chemical coordination and regulation: (e) Brief idea on hypo and hyperactivity and related disorders (common disorders e.g. dwarfism, acromegaly, cretinism, goiter, exopthalmic goiter, diabetes, Addison’s disease)

Biology: Unit 06

• Reproduction in organisms: Reproduction, a characteristic feature of all organisms for continuation of species. Mode of reproduction-asexual and sexual
• Asexual reproduction: Binary fission, sporulation, budding, gemmule, fragmentation, regeneration, vegetative propagation in plants
• Sexual reproduction in flowering plants: (a) Flower structure, development of male and female gametophytes, (b) pollination-types, agencies and examples, (c) outbreeding devices, (d) pollen-pistil interaction
• Sexual reproduction in flowering plants: (e) Double fertilization, post fertilization events-development of endosperm and embryo, (f) development of seed and formation of fruit, (g) special modes-apomixis, parthenocarpy, polyembryony
• Sexual reproduction in flowering plants: (h) Significance of seed and fruit formation
• Human reproduction: (a) Male and female reproductive systems, microscopic anatomy of testis and ovary, (b) gametogenesis-spermatogenesis and oogenesis, (c) menstrual cycle, fertilisation, embryo development upto blastocyst formation, implantation
• Human reproduction: (d) Pregnancy and placenta formation (elementary idea), parturition (elementary idea), lactation (elementary Idea)
• Reproductive health: (a) Need for reproductive health and prevention of sexually transmitted diseases-(STD), (b) birth control-need and methods, contraception and medical termination of pregnancy (MTP), amniocentesis
• Reproductive health: (c) Infertility and assisted reproductive technologies-IVF, ZIFT, GIFT (elementary idea for general awareness)

Biology: Unit 07

• Heredity and variation: (a) Mendelian inheritance, deviations from Mendelism-incomplete, dominance, co-dominance, multiple alleles and inheritance of blood groups, pleiotropy, elementary idea of polygenic inheritance, (b) chromosome theory of inheritance
• Heredity and variation: (c) Chromosomes and genes, (d) sex determination-in humans, birds, honey bee, (d) linkage and crossing over, (e) sex linked inheritance-haemophilia, colour blindness
• Heredity and variation: (f) Chromosomal disorders in humans-Down’s syndrome, Turner’s and Klinefelter’s syndromes
• Molecular basis of inheritance: (a) DNA as genetic material, structure of DNA and RNA, DNA packaging, DNA replication, (b) central dogma-transcription, genetic code, translation, (c) gene expression and regulation
• Molecular basis of inheritance: (d) Genome and elementary idea of human genome project, (e) DNA finger printing
• Evolution: (a) Origin of life, (b) biological evolution and evidences for biological evolution from paleontology, comparative anatomy, embryology and molecular evidence, (c) Darwin’s contribution, modern synthetic theory of evolution
• Evolution: (d) Mechanism of evolution-variation (mutation and recombination) and natural selection with examples, types of natural selection, (e) gene flow and genetic drift, (f) Hardy-Weinberg’s principle, (f) adaptive radiation, human evolution

Biology: Unit 08

• Health and disease: (a) Pathogens and parasites causing human diseases (malaria, filariasis, ascariasis, typhoid, pneumonia, common cold, amoebiasis, ring worm, (b) basic concepts of immunology-vaccines; cancer, HIV and AIDS
• Health and disease: (b) Adolescence, drug and alcohol abuse
• Insects and human welfare: Silk, honey, lac
• Improvement in food production: (a) Plant breeding, tissue culture, single cell protein, (b) biofortification, animal husbandary
• Microbes in human welfare: In household food processing, industrial production, sewage treatment, energy generation and as biocontrol agents and biofertilizers

Biology: Unit 09

• Principles and process of biotechnology-genetic engineering (recombinant DNA technology)
• Application of biotechnology in health and agriculture: (a) Human insulin and vaccine production, gene therapy, (b) genetically modified organisms-Bt crops, (c) biosafety issues, (d) biopiracy and patents

Biology: Unit 10

• Organism and environment: (a) Habitat and niche, (b) population and ecological adaptations, (c) population interactions-mutualism, competition, predation, parasitism, (d) population attributes-growth, birth rate and death rate, (e) age distribution
• Ecosystems: (a) Components, energy flow, pyramids of number, biomass, energy, decomposition and productivity, (b) nutrient cycling (carbon and phosphorous), (c) ecological succession, (d) ecological services: Carbon fixation, pollination, oxygen release
• Biodiversity and its conservation: (a) Need for biodiversity conservation, (b) hotspots, endangered organisms, extinction, Red data book, (c) biodiversity conservation-biosphere reserves, national parks and sanctuaries
• Environmental issues: (a) Air pollution and its control, water pollution and its control, (b) agrochemicals and their effects, solid waste management, radioactive waste management, (c) greenhouse effect and global warming, ozone depletion, deforestation

Physics: Unit 01

• Scope and excitement; nature of physical laws; physics, technology and society

Physics: Unit 02

• Units of measurement; systems of units; SI units, fundamental and derived units
• Length, mass and time measurements; accuracy and precision of measuring instruments; errors in measurement; significant figures

Physics: Unit 03

• Dimensional analysis and its applications

Physics: Unit 04

• Motion in a straight line; position-time graph, speed and velocity

Physics: Unit 05

• Average speed and instantaneous velocity, uniformly accelerated motion, velocity-time and position-time graphs, for uniformly accelerated motion (graphical treatment), elementary concepts of differentiation and integration for describing motion

Physics: Unit 06

• Position and displacement vectors, equality of vectors, multiplication of vectors by a real number; addition and subtraction of vectors, unit vector, zero vector, resolution of a vector in a plane, scalar and vector products of vectors, relative velocity
• Motion in a plane, cases of uniform velocity and uniform acceleration, projectile motion, uniform circular motion

Physics: Unit 07

• Newton’s first law of motion; momentum and Newton’s second law of motion; impulse; Newton’s third law of motion, law of conservation of linear momentum and its applications, problems using free body diagrams

Physics: Unit 08

• Static and kinetic friction, laws of friction, rolling friction

Physics: Unit 09

• Centripetal force, examples of circular motion (vehicle on level circular road, vehicle on banked road) work done by a constant force and a variable force; kinetic and potential energies, work energy theorem, power

Physics: Unit 10

• Conservation of mechanical energy, conservative and non-conservative forces; elastic and in elastic collisions in one and two dimensions, motion in a vertical circle

Physics: Unit 11

• Centre of mass of a rigid body, momentum conservation and motion of centre of mass, centre of mass in some symmetric bodies

Physics: Unit 12

• Moment of a force, torque, angular momentum, conservation of angular momentum and its applications; moment of inertia, radius of gyration, values of moments of inertia for simple geometrical objects
• Parallel and perpendicular axes theorems and their applications to some problems, equilibrium of rigid bodies, rigid body rotation, equations of rotational motion

Physics: Unit 13

• The universal law of gravitation

Physics: Unit 14

Physics: Unit 15

• Gravitational potential, escape speed

Physics: Unit 16

• Time period and mechanical energy of an artificial satellite, geo-stationary satellites

Physics: Unit 17

• Stress-strain relationship, Hooke’s law, Young modulus, bulk modulus, modulus of rigidity, Poison’s ratio; elastic strain energy

Physics: Unit 18

• Pascal’s law and its applications (hydraulic liftand hydraulic brakes), effect of gravity on fluid pressure

Physics: Unit 19

• Newton’s law of viscous force, co-efficient of viscosity, Stoke’s law, terminal velocity, Reynold’s number, streamline and turbulent flow, critical velocity, Bernoulli’s theorem and its applications

Physics: Unit 20

• Surface energy and surface tension, angle of contact, excess pressure for liquid drop, liquid bubble and air bubble, capillary rise

Physics: Unit 21

• Thermal expansion of solids, liquids, and gases, anomalous expansion of water and its effect, specific heat capacity at constant pressure and constant volume and their inter-relation, calorimetry, change of state-idea of latent heat

Physics: Unit 22

• Conduction and thermal conductivity, convection and radiation, qualitative ideas of black body radiation, absorptive and emissive powers, Kirchhoff’s law, Wien’s displacement law, Newton’s law of cooling and Stefan’s law, green house effect

Physics: Unit 23

• Heat, work and internal energy

Physics: Unit 24

• Various thermodynamic processes viz. isothermal, adiabatic, isobaric, isochoric processes, work done in thermodynamic process (both isothermal and adiabatic)

Physics: Unit 25

• Reversible and irreversible processes, idea of heat engine, Carnot’s engine and its efficiency

Physics: Unit 26

• Equation of state of a perfect gas, assumptions of kinetic theory of gases, concept of pressure, RMS speed of gas molecules, kinetic energy and temperature; degrees of freedom
• Law of equipartition of energy (statement only) and application to specific heat capacities of gases; concept of mean free path, Avogadro’s number

Physics: Unit 27

• Period, frequency, displacement as a function of time, periodic functions, simple harmonic motion (S.H.M.) and its equation; phase; mechanical energy in S.H.M., simple pendulum-expression for its time period
• Oscillations of a spring-restoring force and force constant; some other examples of S.H.M., free, forced and damped oscillations (quantitative ideas only), simple examples, resonance

Physics: Unit 28

• Longitudinal and transverse waves, speed of a wave, expression for displacement of a plane progressive wave, relation between particle and wave velocity, principle of superposition of waves, reflection of waves
• Standing waves in strings and organ pipes, fundamental mode and harmonics, beats, Doppler effect in sound

Physics: Unit 29

• Electric charge and its conservation, Coulomb’s law-forces between two point charges, forces between multiple charges; dielectric constant, superposition principle and continuous charge distribution

Physics: Unit 30

• Electric field due to a point charge, electric field lines, electric dipole, electric field intensity at various positions due to an electric dipole, torque on an electric dipole in a uniform electric field, potential energy of an electric dipole

Physics: Unit 31

• 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 (field inside and outside)

Physics: Unit 32

• Potential difference, electric potential for a point charge, electric dipole and system of charges; equipotential surfaces, electrical potential energy of a system of two point charges in an electrostatic field

Physics: Unit 33

• Free charges and bound charges inside a conductor, dielectrics and electric polarization, capacitor and capacitance, combination of capacitors in series and in parallel
• Capacitance of a parallel plate capacitor with and without dielectric medium between the plates, energy stored in a capacitor, Van de Graff generator

Physics: Unit 34

• Flow of electric charges in a metallic conductor, drift velocity and mobility, and their relation with electric current; Ohm’s law, electrical resistance, V-I characteristics (linear and non-linear), electrical energy and power
• Electrical resistivity and conductivity, carbon resistors, colour code for carbon resistors; series and parallel combinations of 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, elementary idea of secondary cell

Physics: Unit 35

• Wheatstone bridge, metre bridge, potentiometer-principle and applications to measure potential difference, and for comparing EMF of two cells; measurement of internal resistance of a cell

Physics: Unit 36

• Oersted’s experiment, Biot-Savart’s law and its application to current carrying circular loop

Physics: Unit 37

• Straight and toroidal solenoids, force on a moving charge in uniform magnetic and electric fields, cyclotron

Physics: Unit 38

• Carrying conductor in a uniform magnetic field
• Force between two parallel current-carrying conductors, definition of ampere, torque experienced by a current loop in a magnetic field; moving coil galvanometer, current sensitivity and voltage sensitivity
• Conversion of galvanometer to ammeter and voltmeter

Physics: Unit 39

• Magnetic dipole moment of a revolving electron

Physics: Unit 40

• Torque on a magnetic dipole (bar magnet) in a uniform magnetic field; bar magnet as an equivalent solenoid, magnetic field lines; earth’s magnetic field and magnetic elements

Physics: Unit 41

Physics: Unit 42

• Permanent magnets

Physics: Unit 43

• Induced EMF and current, Faraday’s law, Lenz’s law, Eddy currents, self and mutual inductance

Physics: Unit 44

• Peak and RMS value of alternating current/ voltage; reactance and impedance; LC oscillations (qualitative treatment only), LCR series circuit, resonance; power in A.C. circuits and power factor, wattles current, A.C. generator and transformer

Physics: Unit 45

• Electromagnetic waves and their characteristics (qualitative ideas only), transverse nature of electromagnetic waves
• Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet, X-rays, gamma rays) including elementary facts about their uses

Physics: Unit 46

• Refraction of light, total internal reflection and its applications, optical fibers, refraction at spherical surface, lenses, thin lens formula, lens-maker’s formula
• Newton’s relation: Displacement method to find position of images (conjugate points), magnification, power of a lens, combination of thin-lenses in contact, combination of a lens and a mirror, refraction and dispersion of light through a prism

Physics: Unit 47

• Blue colour of the sky and reddish appearance of the sum at sunrise and sunset, elementary idea of Raman effect

Physics: Unit 48

• Human eye, image formation and accommodation, correction of eye defects (myopia, hypermetropia, presbyopia and astigmatism) using lenses, microscopes and astronomical telescopes (reflecting and refracting) and their magnifying powers

Physics: Unit 49

• Wave front and Huygen’s principle, reflection and refraction of plane wave at a plane surface using wave fronts
• Proof of laws of reflection and refraction using huygen’s principle
• Interference, Young’s double slit experiment and expression for fringe width, 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 polarised light; Malus law, Brewster’s law, uses of plane polarised light and polaroids

Physics: Unit 50

• Einstein’s photoelectric equation-particle nature of light

Physics: Unit 51

• Wave nature of particles, De Broglie relation, Davisson-Germer experiment, alpha-particle scattering experiments; Rutherford’s model of atom; Bohr model, energy levels, hydrogen spectrum composition and size of nucleus, atomic masses, isotopes, isobars
• Isotones

Physics: Unit 52

• Alpha, beta, and gamma rays and their properties decay law
• Mass-energy relation, mass defect; binding energy per nucleon and its variation with mass number, nuclear fission and fusion

Physics: Unit 53

• Conductors, insulators and semiconductors (intrinsic and extrinsic); semiconductor diode, I-Vcharacteristics in forward and reverse bias, diode as a rectifier; I-Vcharacteristics of LED, photodiode, solar cell, and Zener diode
• Zener diode as a voltage regulator

Physics: Unit 54

• Transistor action, characteristics of a transistor; transistor as an amplifier (common emitter configuration) and oscillator, logic gates (OR, AND, NOT, NAND and NOR gates) and their applications

Physics: Unit 55

• Sky and space wave propagation, need for modulation, amplitude and frequency modulation, bandwidth of signals, bandwidth of transmission medium, basic elements of a communication system