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|Target||XI XII XIII||Books||QUESTION BANK ATTACHED|
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Different concentration terms interconversion, colligative properties, van’t hoff factor calculation, osmotic pressure.
|02||Osmosis , Osmotic pressure (different cases)||47 Minutes|
|03||Numericals on osmotic pressure||46 Minutes|
|04||Vapour pressure, relative lowering of vapour pressure,||41 Minutes|
|05||Numericals on RLVP, Ostwald walker method||40 Minutes|
|06||Elevation in boiling point, calculation of Kb (molal elevation boiling point constant) . Depression in freezing point, Calculation of Kf,||54 Minutes|
|07||Numericals on elevation in boiling point and depression in freezing point||36 Minutes|
|08||Thermodynamic explanation of 𝝙Tb & 𝝙Tf||6 Minutes|
|09||Raoult’s law when two volatile liquids are mixed||49 Minutes|
|10||Ideal and nonideal solution||34 Minutes|
|11||Azeotropes, mixture of two immiscible liquids, solubility of gas in liquid, henry law||58 Minutes|
|01||Types of solid, Crystal, Amorphous, unit cell, 2D, 3D, space,lattice.||42 Minutes|
|02||Primitive, body centred, face centered contribution of atoms in cubic unit cell. Packing fraction of square packing and hexagonal packing||47 Minutes|
|03||Coordination Number, packing fraction, density of solid.,Simple cubic, BCC, FCC, CCP||44 Minutes|
|04||Closed packing in 3D HCP packing,
Linear void, Triangular void, Tetrahedral void, octahedral void, Cubical void Types of void in FCC
|05||Voids in FCC,Different radius ratio for ionic compounds.||47 Minutes|
|06||Calculation of nearest, next nearest and next to next nearest atoms in SC, BCC, FCC.||29 Minutes|
|07||Structure of NaCl type, Zns type, CaF2 type, Na2O type, CSCl type, Diamond||50 Minutes|
|08||Spinal structure, perovskite corundum structure, packing fraction of NaCl, Defect In crystal, Schottky, Frenkel, Interstitial||39 Minutes|
|09||Non stoichiometric defect, cation excess defect cation deficiency defect, Paramagnetic, Diamagnetic Ferromagnetic, Ferrimagnetic, Antiferromagnetic compound||31 Minutes|
|01||Fast reaction , slow reaction, moderate reaction, average rate of reaction, instantaneous rate of reaction, relation of rate of reaction between various reagents , order||57 Minutes|
|02||Order law, zero order reaction||35 Minutes|
|03||First order reaction||28 Minutes|
|04||Half life period for first order reaction||27 Minutes|
|05||Average life period for first order, generation time , first order bacterial growth, second order reaction||24 Minutes|
|06||nth order reaction, pseudo first order reaction||35 Minutes|
|07||Rate of reaction of two or reactant are taken, calculation of order by half life method||32 Minutes|
|08||Initial rate method , integrated rate law, ostwald isolation method to determine order||40 Minutes|
|09||Monitoring of first order reaction using pressure measurement||30 Minutes|
|10||Monitoring of first order reaction using titration and optical rotation||42 Minutes|
|11||Arrhenius transition state theory||29 Minutes|
|12||Arrhenius equation||32 Minutes|
|13||Effect of catalyst on rate constant, temperature coefficient for reaction||39 Minutes|
|14||Simple and complex reaction, molecularity, rate determining step RDS||29 Minutes|
|15||Determination of rate if RDS is given , steady state approximation,complexity in first order reaction, parallel first order reactions||48 Minutes|
|16||Reversible first order reaction||29 Minutes|
|17||Consecutive first order reaction||19 Minutes|
|01||Cause of radioactivity belt of stability , comparison between alpha particle, beta particle and gamma rays||15 Minutes|
|02||Group displacement law soddy fajan rule,, k– electron capture ,first order decay.||28 Minutes|
|03||Radioactive decay||28 Minutes|
|04||Carbon dating, Age of rock using U & Pb,Age of rock using U & He||53 Minutes|
|05||Mass defect ,Binding energy, Binding energy per nucleon. Nuclear fission and fusion.||51 Minutes|
|01||Adsorption, Adsorbate, Adsorbent, Thermodynamics of Adsorption, Adsorption v/s Absorption, Physical Adsorption.||47 Minutes|
|02||Freundlich & Langmuir isotherm, catalytic action of Homogeneous catalyst & Heterogeneous catalyst, Positive & negative catalyst, Homogeneous catalyst, Promoters, Catalytic poison, zeolites, enzyme catalyst, Types of solution, Dispersed phase & Dispersion medium.||48 Minutes|
|03||Types of colloidal solution, Lyophobic, Lyophilic, macromolecular, micromolecular, Associated colloid/ micelle, cleansing action of soap, Bredig’s arc method,Peptization||43 Minutes|
|04||Chemical method to prepare colloidal solution, Tyndall effect, Brownian motion, Electrophoresis, coagulation, protection of colloid.||53 Minutes|
|05||Gold number, Helmholtz double layer theory ,emulsion.||22 Minutes|
|01||Electrochemical cell, Oxidation half cell, Reduction half cell, Galvanic cell||1 hr 05 Minutes|
|02||Salt bridge, Daniel cell net cell reaction reaction Quotient cell representation relation between DG & E properties of DG & E,nernst equation||44 Minutes|
|03||Spontaneity of reaction in cell, nernst equation cell at equilibrium, concentration cell. Hydrogen electrode and standard hydrogen electrode||44 Minutes|
|045||Metal + insoluble salt + soluble anion type half cell
Eg. Ag + AgCl + Cl–
|1 hr 15 Minutes|
|05||Calomel electrode, electrochemical series, thermodynamics for electrochemical cell, 𝝙G, 𝝙H, 𝝙S||59 Minutes|
|06||Electrolysis & electrolytic cell, electrolysis of nacl, nabr, H2SO4,H2O, first law of electrolysis Faraday law||1 hr 11 Minutes|
|07||Examples of first law of faraday, second law of faraday||51 Minutes|
|08||Primary cell ,leclanche cell, secondary cell, lead storage battery , Ni-Cd cell , H2-O2 fuel cell, electrolytic conduction||50 Minutes|
|09||Molar conductivity, equivalent conductivity , relation between molar cond. And equv. Cond., kohlrausch law, calculation of molar cond using wheatstone bridge , relation between molar cond. And concentration for weak electrolyte and strong electrolyte ,huckel onsager equation||54 Minutes|
|10||Ionic mobility, conductometric titration for strong acid V/s strong base , strong acid v/s weak base and other examples||51 Minutes|
|01||Types of ore, Methods of metallurgy, crushing grinding, concentration, gravity separation, magnetic separation, froth floatation.||38 Minutes|
|02||Leaching, calcination, roasting, flux, slag, reduction with carbon, carbon monoxide, self reduction. Electrolytic reduction is fused / aqueous solution.||40 Minutes|
|03||Reduction with Al, Mg, H2, Thermal decomposition, metal displacement reduction, metallurgy of Aq & Au, Macarthur forrest cyanide method, copper extraction.||38 Minutes|
|04||Extraction of Pb, Zn, Hg, Sn, Fe, Al, bayer methode, Hall, serpeck, Hall-Heroult method.||42 Minutes|
|05||Extraction of Mg, Dow process, Extraction of sodium purification method Liquidation, Distillation Vapour phase refining, poling process, Mond process, Van Arkel method, Electrolytic refining.||46 Minutes|
Parting with Cl2, concentrated H2So4, Parke process, Thermodynamic of metallurgy Ellingham diagram.
|01||Simple salt, mixed salt, double salt, coordination compound, central atom, ligand, coordination number, oxidation number :-||30 Minutes|
|02||Denticity, flexidentate, Ambidentate liquid||24 Minutes|
|03||Coordination polyhedron, Naming of central atom, cationic ligand, neutral ligand, anionic ligand||27 Minutes|
|04||Naming of anionic ligand , rules for naming of complex salt, formula of complex , naming of complex having bridging ligand||1 hr 02 Minutes|
|05||Name of complex containing bridging ligand, reaction with AgNO3, reaction with BaCl2 electrical conductivity||32 Minutes|
|06||Reaction with conc. H2SO4, Werner’s theory, Sidgwick EAN rule.||23 Minutes|
|07||Valence bond Theory (VBT)||40 Minutes|
|08||Crystal field theory for octahedral complex.||37 Minutes|
|09||Crystal field theory (octahedral complex Examples)||51 Minutes|
|10||Crystal field theory (octahedral complex Examples), CFT for square planar complex, CFT for tetrahedral complex, structural isomerism, ionisation, hydrate, ligand , linkage, coordination isomerism||1 hr 05 Minutes|
|11||Examples of tetrahedral complex, factors affecting crystal field splitting energy||54 Minutes|
|12||Stereoisomerism, geometrical & optical isomerism||57 Minutes|
|13||Optical isomerism in octahedral complex & factors affecting splitting||45 Minutes|
|14||Properties of coordination compound stability, magnetic nature, colour, d-d transition.||53 Minutes|
|15||Charge transfer in brown ring, sodium nitroprusside, back bonding in metal carbonyl, Delta bond, synergic bonding, bonded organometallic compound,ferrocene, zeise salt.||1 hr 01 Minute|
|01||Physical properties of nitrogen family (atomic radius, Ionisation energy, Electronegativity, Oxidation state), Chemical properties (Hydride, Oxide, Halide)||46 Minutes|
|02||Compounds of Nitrogen,
N2, NH3, N2O, NO
|03||Compounds of Nitrogen
N2O3, N2O4, N2O5, HNO2, HNO3 allotropes of phosphorus (white, red, black)
|04||Compounds of phosphorus, PH3, P4O6, P4O10, PCl3, PCl5||30 Minutes|
|05||Physical properties of oxygen family (atomic radius, Ionisation energy, Electronegativity, Oxidation state), Chemical properties (Hydride, Oxide, Halide), dioxygen, types of oxide(acidic,basic,neutral,amphoteric,mixed oxide), ozone ,hydrogen peroxide||34 Minutes|
|06||Allotropes of sulphur, H2S, SO2, SO3, Hypo solution Na2S2O3||20 Minutes|
|01||Properties of Halogen family members, Atomic radius,Ionisation,enthalpy,Electronegativity, Bond energy,Anomalous behaviour of fluorine||27 Minutes|
|02||Properties of F2, Cl2, Br2, I2 Haloger acid HCl, HBr, HI||28 Minutes|
|03||Properties of HF, CaOCl2, HOCl, HClO2, HClO3. Bleaching powder CaOCl2||32 Minutes|
|04||HClO4, Interhalogen Compounds & their Hydrolysis, Pseudo halide, Pseudo Halogen
|05||Properties (atomic radius, Mp, b.p. ionisation energy) of noble gas family
Reaction with xenon with F2 & H2, addition compound, Hydrolysis reaction
|01||Transition metal, general configuration atomic radius, ionization energy.||33 Minutes|
|02||Density, melting point, oxidation state, standard electrode potential, colour, magnetic properties, nature of oxide, interstitial compound, catalytic properties, alloy formation||33 Minutes|
|03||Potassium dichromate, Potassium permanganate ,AgBr photography.||39 Minutes|
|01||Carbocations C+, Hybridisation of carbocations , Stability of carbocations , Rearrangement of carbocations , Type of shifts , Migratory aptitude||36 Minutes|
|02||Migratory aptitude of aromatic group , Rearrangement in cyclic carbocations , Ring expansion (RE), Ring contracting (RC) , Cyclopropyl methyl carbocations (CPM–C+), Stability order of carbocations , Some extra ordinary stable carbocations, CPM carbocation , Aromatic carbocations||42 Minutes|
|03||Rearrangement of carbocation, Reaction mechanism , Solvents , Polar protic solvents (PPS), Polar aprotic solvents (PAs) , Reagents , Nucleophiles, Nu, Electrophilic E+||35 Minutes|
|04||Electrophiles, E+, Nucleophiles, Nu, Nucleophilicity , Experimental order of Nu, Strong Nu with weak basic character , Strong Nu with strong basic character, Weak Nu with weak basic character , Solvation of Nu||47 Minutes|
|05||Leaving group (l.g.), Leaving group ability , Unimolecular nucleophilic substitution reaction of first order (for R–X) i.e SN1 of R–X , Kinetics of SN1, Stereo of SN1, PE- diagram of SN1, SN1 with rearrangement in C+, Rate of SN1 reaction||36 Minutes|
|06||SN1 or R–X, Solvolysis reaction , Factors affecting the rate of SN1 reactions , SN1 of alcohol R–OH||50 Minutes|
|07||SN1 of R–OH, Lucas reaction , SN1 of ethers , Hydrolysis of ethers , SN2 reaction of (R–X), Kinetics of SN2 reaction , Stereochemistry of SN2 Rxn , PE-diagram of SN2 Rxn||43 Minutes|
|08||Walden's experiment , Walden Inversion , Factors affecting the rate of SN2 Rxn , Halogen exchange reaction , Finkelstien reaction , Swart's reaction , SN2 Rxn of alcohol (R–OH), SNi reaction of alcohol with SOCl2||48 Minutes|
|09||SN2 of ether , Reaction of epoxides , Williamson's ether synthesis||29 Minutes|
|10||Intramolecular SN2 reactions , Neighbouring group participation (NGP) , Comparison between SN1 and SN2 , SN1 Vs SN2||41 Minutes|
|11||Elimination Reaction , E1 elimination (of R–X), Saytzeff's rule , Regioselectivity , E1 of Alcohols, Acid catalysed dehydroation of alcohol, Dienone- Phenol rearrangement , Pinacol - Pinacolone rearrangement , Semipinacol- Pinacolone rearrangement||51 Minutes|
|12||E2 Rxn of (R–X), Stereoselectivity and sterospecificity , Reagents of E–2 Reaction , Order of Rate of E–2, Major Hofmann Alkene||37 Minutes|
|13||Summary of SN1/ SN2/E1/E2, Stereo selectivity of E–2 reaction , E1CB reaction , Cases when Hofmann Alkene is the major product||40 Minutes|
|14||Tetraalkyl ammonium hydroxide , E–2 Rxn, Didehalogenation , Stereoselectivity , Isotope effect (KH/KD)||24 Minutes|
|01||Organometallic compounds , Preparation of G.R.||12 Minutes|
|02||Preparation of GR, Solvents of GR, Reaction of GR, Acid-base reaction of GR, Zerewitinoff's active hydrogen determination||33 Minutes|
|03||Nucleophilic addition reaction of GR, SN2- Th reaction of GR||30 Minutes|
|04||Unstable GR, Mono GR is not possible with dihalide , Reaction of GR with CO2, Reaction of GR with O2, Reaction of GR with RCN, Digrignard reagent , Reactions of digrignard reagent||40 Minutes|
|05||Attack of GR on weak bond, 1,2-addtion & 1,4-additon , Reaction of GR with metal halides , REDUCTION , Definition of reduction , Table of reducing agents , Catalytic hydrogenation||42 Minutes|
|06||Catalylic hydrogenation , Stereoselectivity ,) Partial hydrogenation , Lindlar's catalyst , P-2 catalyst (Nickle Boride), Birch reduction||44 Minutes|
|07||Hydroboration Reduction (HBR), Transfer Hydrogenation, Clemmensen reduction , Wolf-Kishner reduction, Lithium aluminium hydride (LiAlH4)||54 Minutes|
|08||Sodiumboro hydride (NaBH4) (SBH), Triphenyltin hydride Ph3SnH (TPH), DiBAl-H- Diisobutyl Aluminium hydride , Red –P + HI, Mozingo reduction , MPV- reduction , Oppeneaus Oxidation , Bauvealt-Blanc reduction , ALKANES, Free Radicals , Formation of free radicals , F.R. Catalyst/ Initiators / Promotors , F.R. Inhibitors/ Scavangers/Poisons , Stability of free radicals , Reactions of free radicals , Combination Reactions , Disproportionation reaction||53 Minutes|
|09||Reactions of Free radicals , Stability of free radicals , Preparation of Alkanes , Wurtz Reaction (WR), Wurtz-Fitting reaction , Fitting reaction , Frankland reaction , Kolbe's Electrolytic synthesis (KES), Corey-House Reaction||41 Minutes|
|10||Corey House reaction, Decarboxylation , Decarboxylation by soda lime , Decarboxylation by heating||40 Minutes|
|11||Properties of Alkanes , Chemical properties of Alkanes , Free Radical substitution reaction , PE-diagrams , Reactivity order , Conditions of halogenation||25 Minutes|
|12||reactivity and selectivity , Percentage yield , Quantum yield , Isomerisation reaction of alkanes , Aromatisation reaction of alkanes , Petroleum , Physical Properties of alkanes||39 Minutes|
|01||Alkenes , Preparation of Alkene , Pyrolysis of ester , Pyrolysis of xanthates (Chaugave reaction ) , Cope reaction , Didehalogenations||37 Minutes|
|02||Chemical reactions of Alkenes , Electrophilic addition reaction (AE Rxn), Classical carbocation mechanism , Non-Classical carbocation mechanism , Markowni Koff's rule , Addition of H–X, Antimarkowni Koff's rule||52 Minutes|
|03||Addition of H2O on Alkenes , Acid-catalysed hydration of Alkenes , Oxymercuration- Demercuration reaction (OM/DM), Hydroboration -oxidation (HBO), Alkoxymercuration Demercuration , Addition of X2 on Alkenes||47 Minutes|
|04||Addition of HOX on alkenes , Stereoselectivity , Order of rate of addition of X2 on alkene , Chemical reaction of Alkynes , Addition of H-X on alkynes , Addition of H2O on alkynes , Hydration of alkyne with dil H2SO4 and HgSO4, Hydroboration – Oxidation||48 Minutes|
|05||Addition of HOX on alkynes , Preparation of alkynes , Isomerisation||24 Minutes|
|06||Isomerisation mechanism , Reaction of terminal alkynes , Dienes , Conjugated diene , Addition NOCl on alkene , Allylic substitution , NBS- N-bromosuccinimide||35 Minutes|
|07||Reaction of NBS, MnO2- Oxidising agent , Carbenes , Sources of carbenes , Types of carbenes||21 Minutes|
|08||Reaction of carbene , Reimmer-Tiemann reaction , Carbyl amine reaction , OXIDATION , definition of oxidation , Oxidation of alkenes and alkynes , Ozonolysis of Alkenes and alkynes , Oxidation of Ketone , Perhydroxylation of Alkenes (Formation of diols), Baiyer reaction – Baeyer's reagent , Osmium tetraoxide (OsO4), Epoxidation by per acid||49 Minutes|
|09||Oxidation-strong oxidising agent , Potassium dichromate K2Cr2O7/H2SO4, Alkaline KMnO4/ OH-, H2CrO4 or CrO3 + H2O, Table of oxidising agents , Oxidation of alcohols , Mild oxidising agents , Oxidation of periodic acid HIO4, Oxidation of aldehydes , Oxidation with NBS, Tollen's reagent , Fehling's Reagent , Benedict's solution , Schiff's reagent||38 Minutes|
|10||Oxidation of seleniumdioxide SeO2, Side-Chain oxidation||13 Minutes|
|01||Aromaticity , Benzenoids and Non-Benzenoids , NMR-definition of Aromaticity , Anti Aromaticity , Polycyclic aromatic compound , Azulenes , Reaction of AgNO3 and Na-metal , (n)-Annulenes , Peripheral aromaticity||44 Minutes|
|02||Electrophilic aromatic substitution reaction , Halogenation of Benzene , Baltz-Schiemann reaction , Nitration of benzene , Kinetic Isotope effect , Sulphonation of benzene , Friedel-Craft reaction (F.C. Rxn), F.C. Alkylation||49 Minutes|
|03||Ring-Closure at C-1 and C–2, Dehydrogenation , Limitations of F.C. reaction , Friedel Craft Acylation , Ring closure , Directive influence or Directive effect , Table of activating and deactivating groups||44 Minutes|
|04||Ortho-para ratio , Direction effect on disubstituted benzene , Directive influence in monosubstituted benzene , Directive influence in naphthalene , Directive influence in diphenyl , Directive influence in Anthracene and phenanthrene, Directive influence in pyridine & pyrrole , SN2 Ar reaction , PHENOL, Preparation of phenol||37 Minutes|
|05||Preparation of phenol from acid hydrolysis of cumene , Chemical reaction of phenol , Halogenation of phenol , Protection of –OH group, Nitration of Phenol , Sulphonation of Phenol, Reimer-Tiemann Reaction , Reimer-Tiemann formylation , Reimer-Tiemann carboxylation , Comparison of Reimer-Tiemann and carbyl amine reactions , Kolbe-Schmidt reaction , Some medicinally important compounds , Aspirine, Salol, Oil of winter green||39 Minutes|
|06||Nitrosation of phenol , Use of phenol as nucleophile, ANILINE, Preparation of aniline from reduction of nitrobenzene , Selective reduction , Chemical reactions of aniline , Halogenation of Aniline , Nitration of Aniline, Sulphonation of Aniline||26 Minutes|
|07||Fries rearrangment reaction in Phenol , Claisen rearrangement , Diazotisation of Aniline , Reaction of Benzene diazonium chloride (BDC) , Sandmeyer reaction , Baltz-scheimann reaction , Experimental evidence of formation of phenyl cation , Amination – Deamination||43 Minutes|
|08||AMINES, Preparation of Amines , Hofmann Bromamide reaction , Hofmann methylation , Gabriel phthalimide reaction , Coupling reaction of BDC||32 Minutes|
|09||Test of Amines ,Isocyanide Test of 1º Amine , Test with nitrous acid HNO2, CYANIDES and ISOCYANIDES , Preparation of cyanides and isocyamide , Hydrolysis of cyanides and isocyanides , IPSO-Substitution||23 Minutes|
|10||Basic Strength, Definition of bases , Scales of basic strength , Organic Nitrogenous bases||12 Minutes|
|11||Basic strength of Aliphatic amines , Basic strength of Aromatic amines , SH of H2O, SIR effect on Aromatic amines , Basic strength of pyridine and pyarole||43 Minutes|
|12||Amidine-basic strength , Guanidine- basic strength , Kb order , Proton sponges , Site of protonation , Feasibility of reaction||31 Minutes|
|01||Preparation of aldehydes & Ketones , Dehydrogenation , Hydrolysis of gem. dihalide , From dry distillation of Col. salt of fatty acid , From acid chloride (Rossenmund's) , Formylation of benzene (Gattermann Koch Ald. Synthesis) , Chemical reaction of carbonyl compound , Nucleophilic addition reaction , Addition of H2O (Formation of hydrates)||41 Minutes|
|02||Addition of R–OH (Formation acetal/Ketal), Addition of G.R., Addition of HCN (Formation of cyanohydrin), Addition of NH3, Addition of Ammonia derivative||35 Minutes|
|03||Addition of NaHSO3 (Sodium bisulphite) , Backmann rearrrangment , Cyclic Ketone||29 Minutes|
|04||Condensation reaction , Aldol condensation reaction , Cross Aldol , Intramolecular Aldol reaction||40 Minutes|
|05||Perkin condensation reaction , Classen Ester condenstion , Cross-Claisen , Intramolecular claisen (Dieckmann's reaction ) , knoevenagel reaction||22 Minutes|
|06||Reformatsky reaction , Favorskii reaction , Cannizaro reaction||23 Minutes|
|07||Cross Aldol , Cross Cannizaro , Intramolecular cannizaro , Tischenko reaction , Alpha-Halogenation , Haloform reaction , Iodoform test||44 Minutes|
|08||Baeyer - Villiger Oxidation , Benzil - Benzilic acid Rearrangement , D-exchange reaction , Witting reaction , Benzoin condensation||33 Minutes|
|01||Carboxylic acid preparation , Arndt-Eistert reaction (Homologation of acid), Chemical reactions of carboxylic acids , Hunsdiecker reaction||18 Minutes|
|02||Decarboxylication reaction , Decarboxylation of acids by soda lime (SL), Decarboxylation by heating , Hell-Volhard-Zelinsky (HVZ) reaction , Acid derivatives , Preparation of acid derivatives , SN2 Th reaction , Esters- preparation , Type-I mechanism of esterification, Type-II mechanism of esterification||44 Minutes|
|03||Examples of esterification, Hydrolysis of ester , Acid hydrolysis of ester and saponification , Acid amide , Hofmann Bromamide reaction , Curtius reaction , Schmidt reaction , Lossen reaction||28 Minutes|
|01||Carbohydrates , definition , Classification of carbohydrates , Based on number of units , Based on water solubility , Based on reducing properties||18 Minutes|
|02||Monosaccharides - Aldoses and Ketoses, D/L-configuration (Relative configuration) , Glucose , Cyclic hemiacetal structure of glucose , ANOMERS , EPIMERS , Haworth structure of glucose- glucopyranose structure, Formation of methyl-O-glucoside , Mutarotation, FRUTOSE , cyclic hemiacetal structure of fructose , Haworth structure of fructose- Fructofuranose structure||47 Minutes|
|03||SUCROSE, Inversion of sugar , Glycosidic linkage , Maltose ,Lactose , Starch , Amylose and amylopectin , Cellulose , Reaction of carbohydrates , Osazone formation of glucose and fructose||45 Minutes|
|04||Amino acids , Types of Alpha-Amino acids (AA), Neutral Alpha-AA, Acidic Alpha-AA, Basic Alpha-AA, Zwitter ion , Iso-electric point (pI), Calculation of pI value||21 Minutes|
|05||Peptides , Dipeptides , Peptide link, Polypeptides , Protein , Examples of Amino acids||18 Minutes|
|06||Polymerisation , Classification of polymer , Based on source , Base on Intermolecular force of attraction , Elastromers , Fibres , Thermoplastics, Thermosettings , Polyethylene , Nylon-6, Nylon-6,6, Natural Rubber , Synthetic Rubber- Neoprene , Buna-S, Buna-N , Dacron , Low density polyethylene (LDPE)||33 Minutes|
|07||High density polyethylene (HDPE) , Polypropylene , Poly isobutylene , Poly vinyl chloride (PVC), Poly tetrafluoro ethylene (PTFEW Tefflon) , Poly acrylonitrile (PAN or orlon), Poly styrene , Poly methyl methanacrylate (PMMA or Lucite) or (Plexiglas or prespex), Natural Rubber- Polyisoprene , Gutta-percha, Vinylidene chloride- Vinyl chloride polymer , Lexan-Poly carbonate , Glyptal , Bakelite (or phenol- formaldehyde Resin), Melamine- formaldehyde (Melmac) , Polyurethane||33 Minutes|
|01||law of rectilinear propagation of light, Law of independence of light rays, Law of reversibility, Laws of reflections, types of reflection, regular and diffused reflection, Plane mirror, definition of Object and Image, virtual and real Object/Image. Image formation by plane mirror, Important points about Image formation by plane mirror, motion of object and its Image||52 Minutes|
|02||Problems on motion of object and image in 3D, Rotation of Mirror and Incident ray||46 Minutes|
|03||Problems , Images formed by two mutually inclined mirrors, field of view-||50 Minutes|
|04||Problems, Angle of deviation due to reflection||16 Minutes|
|05||Curved mirrors, some definitions (terms) related with curved mirrors. Paraxial rays, focal plane.||42 Minutes|
|06||sign conventions, Mirror formula, magnifications||28 Minutes|
|07||ray diagram||28 Minutes|
|08||problems, some examples, multiple reflections||34 Minutes|
|09||motion of object and image, lateral magnifications||46 Minutes|
|10||1/v versus 1/u graphs, U-V graphs, Newton’s mirror formula||59 Minutes|
|11||Refraction, Refractive index, Snell’s laws, some important points to remember, refraction through plane surface and parallel slabs.||46 Minutes|
|12||Image formation due to refraction through plane surface, actual depth and apparent depth, problems||41 Minutes|
|13||Lateral shift, Normal shift, combination of mirror and slabs||42 Minutes|
|14||critical angle, total internal reflection, circle of illuminance, deviation due to refraction through plane surface||40 Minutes|
|15||Prsim, Prism angle, angle of emergence, deviation by prism, condition for no emergence, angle of deviation by prism in terms of angle of incidence and angle of emergence. Condition for minimum deviation, minimum deviation||41 Minutes|
|16||maximum deviation,thin prisms, deviation by thin prism||23 Minutes|
|17||Cauchy’s equation, dispersion, mean deviation, angular dispersion, Dispersive power of Prism, combination of Prisms, Achromatic combination ,combination for direct vision||54 Minutes|
|18||Refraction through curved surface, formula relating “v” and “u”,||27 Minutes|
|19||Problems lateral and longitudinal magnification, motion of object and image.||27 Minutes|
|20||Thin lenses, classification of thin lenses, Lens maker’s formula and Lens formula-||35 Minutes|
|21||lateral and longitudinal magnification, Ray diagrams,||28 Minutes|
|22||sign convention, Image formation, Problems,||45 Minutes|
|23||problems , some important points to remember||28 Minutes|
|24||motion of Object and image, , 1/v versus 1/u graphs, U-V graphs-||39 Minutes|
|25||power of lens, combination of lenses in contact. Combination of two lenses separated by distance “d”, combination of lenses and mirror in contact, focal length when one face of a thin lens is silvered||56 Minutes|
|26||Displacement method to find the focal length of a lens,||15 Minutes|
|01||Introduction to charge, properties of charge||43 Minutes|
|02||Coulombs law, permittivity, relative permittivity, principal of superposition||52 Minutes|
|03||Electric field and its strength due to a point charge , due to circular arc , due to circular ring||35 Minutes|
|04||Electric field due to circular disc, infinite layer of charge , due to large conducting and non conducting sheets||43 Minutes|
|05||Electric field due to straight conductor and related problems||40 Minutes|
|06||Electric field due to non conducting solid sphere , hollow sphere and related problems||43 Minutes|
|07||Electric field inside cavity and electrostatic pressure.||25 Minutes|
|08||Electric potential, Electric potential due to a point charge , due to circular arc , due to circular ring , due to circular disc||31 Minutes|
|09||Relation between electric field and electric potentials , Electric field due to Non conducting solid sphere and hollow sphere||48 Minutes|
|10||potential difference due to infinite layer of charge and infinitely long line charge, Equipotential surface||34 Minutes|
|11||Electric potential energy, potential energy of two point charge system , potential energy of point charge system, methods to find the potential energy of point charge system||42 Minutes|
|12||self energy of hollow sphere, self energy of solid sphere, energy density , Potential energy of interaction||41 Minutes|
|13||Problems on self energy and interaction energy , Electric line of forces (ELOF), properties of ELOF||17 Minutes|
|14||Electric flux, solid angle and use of solid angle to find the electric flux||58 Minutes|
|15||Gauss theorem, uses of Gauss theorem to find electric field due to hollow sphere||28 Minutes|
|16||Electric field due to solid sphere/long line charge/solid cylindrical charged body/hollow cylindrical charged body by using gauss theorem||31 Minutes|
|17||Electric dipole, Electric dipole moment, Electric field due to dipole on axial point/equatorial line/at general point||32 Minutes|
|18||Electric potential due to dipole on axial point/equatorial line/at general point, Force and Torque experienced by a dipole in external uniform electric field, potential energy of dipole in external uniform electric field, force on dipole in non uniform electric field, force between two dipoles||52 Minutes|
|19||Conductor, Earthing of a conductor , electrostatic shielding||28 Minutes|
|20||charge distribution on inner and outer surface of concentric conducting spheres, , when two charged conductors are connected by a conducting wire||39 Minutes|
|21||charge distribution on a conductor surfaces in the presence of external electric field||52 Minutes|
|01||Current definition, Instantaneous current, Average current, current due to Circular and Translational motion of charge, Current through a conductor, Current density||33 Minutes|
|02||mechanism of current flow. Relaxation time. Mean Free Path, Drift velocity, Resistance, Resistivity, Conductivity, Ohm’s law, Relation b/w current density & Electric field||29 Minutes|
|03||Calculation of Resistance in different cases, , dependence of resistance on length & cross sectional area when wire is stretched, Effect of temperature on Resistance, Resistance in 2 D & 3 D current flow.||31 Minutes|
|04||Battery, EMF, some important points about electrical circuits, Potential difference across battery, short circuit, and maximum power dissipated by a battery||1 Hrs 04 Minutes|
|05||Kirchhoff’s junction law and voltage/loop law. Point potential method to solve the circuits.||37 Minutes|
|06||combination of resistances, series and parallel combinations, Wheat stone bridge,||39 Minutes|
|07||Method of symmetry, Infinite series of Resistances||38 Minutes|
|08||combination of batteries .series and parallel combination of batteries,mixed combinations, combination of ideal batteries.||40 Minutes|
|09||Electrical instruments, Galvanometer, sensitivity of Galvanometer, conversion of Galvanometer into Ammeter and Voltmeter.||45 Minutes|
|10||Problems on galvanometer, ammeter and voltmeter||28 Minutes|
|11||Potentiometer, Uses of Potentiometer to compare the EMF's of two batteries, to find the internal resistance and EMF of a battery, Meter bridge, zero error||51 Minutes|
|12||Post-office box, rating of electrical instruments like bulb and heater||45 Minutes|
|01||Introduction to capacitor, types of capacitor, parallel plate capacitor, spherical capacitor, cylindrical capacitor||43 Minutes|
|02||energy stored in a capacitor, work done by battery, heat loss, energy density,some problems.a conductor as a capacitor||41 Minutes|
|03||Combination of capacitors, series & parallel combination. wheat stone bridge||36 Minutes|
|04||Method of symmetry, Infinite series, point potential method, important problems Combination of two charged capacitors, some important problems||49 Minutes|
|05||Problems on combinations of charged capacitors, combinations of conductors-||42 Minutes|
|06||Charging of capacitor, variation of charge , voltage and current with time ,steady state, graphs||34 Minutes|
|07||Discharging of capacitor, time constant, variation in charge, voltage, current with time. Method to find the time constant of a circuit||39 Minutes|
|08||Circuits with capacitors and resistors, problems||31 Minutes|
|09||Dielectrics b/w plates of capacitor change in capacitance, charge and energy with dielectric.||29 Minutes|
|10||Some important problems related to dielectric||29 Minutes|
|11||Force on dielectric when battery remains connected, motion of dielectric. Force on dielectric when battery is removed, leakage current, dielectric strength||36 Minutes|
|01||Natural magnet ,pole strength , magnetic dipole moment||20 Minutes|
|02||magnetic field produced by Natural magnet at axial point , at Equatorial point and at general point, natural magnet in external magnetic field, Force ,Torque and potential energy of a magnet in external magnetic field. Force between two magnets-||37 Minutes|
|03||magnetic effect of charge and current, some important points , Right hand screw rule||28 Minutes|
|04||Biot savort’s law , Right hand palm rule. Magnetic field produced by straight conductor||30 Minutes|
|05||Shape of magnetic lines of forces around a conductor, some important problems||43 Minutes|
|06||Circular arc and circular loop, solenoid and troid, magnetic field produced by solenoid and toroid||53 Minutes|
|07||Magnetic field produced by moving charge, Biot savort’s law for moving charge. Magnetic field due to circular motion of charge||26 Minutes|
|08||closed loop as a magnet . . magnetic dipole moment of closed loop, magnetic dipole moment of rotating charged bodies||26 Minutes|
|09||ampere’s law , application of ampere’s law to find the magnetic field due to straight long conductor and long cylindrical conductor||29 Minutes|
|10||problems on magnetic field due to cylindrical cavity inside a cylindrical conductor||25 Minutes|
|11||Lorentz’s force, magnetic force on moving charge, motion of charge in external magnetic field , motion on circular path, important problems||47 Minutes|
|12||motion of charge on helical path with constant pitch, motion on helical path with increasing pitch,||34 Minutes|
|13||Motion of charge on cycloid path||27 Minutes|
|14||magnetic force on a current carrying conductor, magnetic force between two straight current carrying conductors||27 Minutes|
|15||Important problems ,magnetic force and torque on closed loop in external magnetic field||28 Minutes|
|16||Earth as a magnet, magnetic and geographical axis, magnetic and geographical meridian, angle of declination, angle of dip, horizontal & vertical component of earth’s magnetic field||29 Minutes|
|01||Magnetic flux, Faraday’s law, EMF induced, EMF induced due to change in area of loop, due to change in magnetic field ,due to rotation of loop, Lenz’s rule, examples||35 Minutes|
|02||Important Examples on Lenz’s rule||23 Minutes|
|03||Motional EMF, calculation of motional EMF, use of Motional EMF in circuit as battery,||32 Minutes|
|04||Important problems on motional EMF||38 Minutes|
|05||motional EMF due to rotation of conductor in external magnetic field.||24 Minutes|
|06||Induced electric field due to varying magnetic field, Calculation of Induced electric field in varying magnetic field in cylindrical region||36 Minutes|
|07||Self inductance, Inductor, potential difference across an inductor, Energy stored in an inductor, Inductor in a circuit||27 Minutes|
|08||Current Growth in an inductor, Time constant, current decay in an inductor||37 Minutes|
|09||Mutual induction, Mutual Inductance ,combination of inductors, series and parallel combination,||35 Minutes|
|10||LC oscillator and problems||28 Minutes|
|01||AC/DC introduction, RMS and Average value of Alternating EMF and current,||35 Minutes|
|02||Important problems , AC circuits, circuit containing Resistor only, circuit containing capacitor only, circuit containing Inductor only||36 Minutes|
|03||Steps to find instantaneous current in AC circuit, reactance, Impendence, phasor diagram, LCR series circuit, Quality factor||38 Minutes|
|04||LC circuit, RC circuit, LR circuit. Examples on AC series circuits||32 Minutes|
|05||Average and instantaneous power , Apparent power , power factor, wattles current Parallel AC circuits||52 Minutes|
|06||Problems on parallel circuits , Choke coil and Transformer||50 Minutes|
|01||Dual nature of Light, matter-waves, Debroglie’s formula for wavelength of matter-waves. Graphes relating different parameters of Photon and matter waves, example||41 Minutes|
|02||Photometry, Energy of Photon, power incident and Intensity of light assuming particle nature of light, Impulse , Force & Pressure exerted by incident Photons||56 Minutes|
|03||Problems on photometry, motion of Photon under gravity||24 Minutes|
|04||Photo electric Effect, Work function of a metal, Threshold Energy/Threshold frequency/Threshold wavelength of an incident photon, Maximum kinetic energy of photo-electron, Graphs||37 Minutes|
|05||Photo-current, Saturation current, stopping potential, problems||50 Minutes|
|06||graphs plotted by Einstein and conclusions from those graphs, Failure of classical wave theory and explanations given by quantum theory||23 Minutes|
|07||Atomic structure, Dalton’s law, Thomson’s Plums pudding theory, Rutherford’s Atomic model, Bohr’s Atomic model and his 4 postulates||24 Minutes|
|08||Bohr model and Derivations for Radius of orbit, Energy of Orbit, velocity of electron in an orbit, frequency of electron||31 Minutes|
|09||q/m ratio in an orbit,Ground and Excited states, Ionisation Energy and ionisation potential, Excitation Energy and Excitation potential, Binding energy of electrons||28 Minutes|
|10||Hydrogen emission spectrum, Lymen series, Balmer series, Paschen series, Pfund series, series limits||38 Minutes|
|11||Recoil speed of atoms , problems on atomic structure ,Hydrogen absorption spectrum||28 Minutes|
|12||Atomic collisions, problems on atomic collisions||27 Minutes|
|13||Energy and radius of orbit when nucleus in motion.X-ray introduction, Production of X-ray, Types of X-rays, continuous X rays. accelerating voltage||41 Minutes|
|14||Characteristics X-rays, cut-off wavelength, ,K-alpha/K-beta/L-alpha/L-beta characteristics X-rays and their wavelength/ frequency, Mosley’s law ,Graphs and problems on X-rays||35 Minutes|
|01||introduction to nucleus , Atomic number, mass number, Isotopes, Isobars, Isotones, Radius of nucleus, density of nucleus, forces inside nucleus, strong nuclear force, stability of nucleus & N/Z ratio.||27 Minutes|
|02||Mass defect, Binding Energy, calculation of Binding energy, examples, alpha-particles, Beta particles, positron, neutrino, anti-neutrino||34 Minutes|
Alpha particle emission, kinetic energy of alpha- particle and Gama-particle, Betaparticle Emission, positron emission, K-capture
|04||Radioactivity, Law of disintegration, statistical law , decay constant, Activity of a sample ,Half life of a sample, Average life of a sample, Carbon Dating||37 Minutes|
|05||disintegration with production, successive Disintegration, simultaneous disintegration||27 Minutes|
|06||Binding energy per nucleon, stability of a nucleus depending on B/A, fission reaction, Fusion reaction,||24 Minutes|
|07||Nuclear reactor, types of reactors, Moderator, coolant, control rods, Critical mass||25 Minutes|
|01||Wave nature of light, Wave front, wave fronts for point source/line source/plane source. Hygiene’s principle for wave nature of light, Maxwell’s electromagnetic wave theory of light,||34 Minutes|
|02||Interference of light waves, constructive and destructive interference of light, sustainable interference||31 Minutes|
|03||Young’s double slit experiment (YDSE), path difference, positions of bright and dark fringes, Fringe width, Total no. of maximas and minimas formed on screen,||26 Minutes|
|04||Problems on YDSE , YDSE with white light||23 Minutes|
|05||optical path difference, shift in fringe pattern when slabs are placed in front of slits , YDSE with oblique incidence||31 Minutes|
|06||YDSE with slabs and oblique incidence ,YDSE when apparatus Immersed inside liquid and slabs are also placed in front of slits, when slits are placed horizontally instead of vertical.Interference through thin films, Lloyd’s mirror, Fresnel’s Biprism||39 Minutes|
|01||significant figures ,Least count , maximum uncertainity , rules to find significant figures|
Significant figures in arithmetic operations like addition/substraction/multiplication/division , rules of rounding , Least count , maximum permissible error, problems
|03||Maximum permissible error in a dependent quantity. Fractional error, percentage error , other types of errors like errors due to external causes , instrumental errors , personal error/ chance errors. Errors in averaging in experiment, absolute errors. Example.|
measurement by screw gauge , its Least count , measurement by vernier callipers , its Least count , zero error , examples.
|01||Energy band , valence band , conduction band , P type semi conductor and N type semi conductor , Holes , Doping||31 Minutes|
|02||Motion of Holes , current in semiconductor , conductivity of semiconductor , mobility of holes and electrons||21 Minutes|
|03||PN junction, biasing of PN junction, forward biased PN junction and Reversed biased PN junction, diffusion current and drift current, break down of PN junction diode, Zener and avalanche breakdown.||35 Minutes|
|04||Uses of PN junction as Rectifier , half wave rectifier , full wave rectifier, transistor , PNP transistor and NPN transistor||36 Minutes|
|05||Biasing of a transistor , basic transistor circuits , how transistor works? Uses of transistor as amplifier||37 Minutes|
|06||Uses of transistor as switch and in LC oscillation circuit , digital electronics, number systems ,decimal and binary number system||37 Minutes|
|07||Logic gates, Boolean expressions , OR gate , AND gate , NOT gate and truth table.||28 Minutes|
|08||NOR gate , NAND gate and XOR gate||23 Minutes|
|01||Ampere Maxwell law, displacement current, electromagnetic wave, its properties and equation of electromagnetic waves. Intensity of Electromagnetic waves. Different types of Electromagnetic waves , their wavelength , their production and Detection||27 Minutes|
|02||some important problems on Displacement current and Electromagnetic waves||20 Minutes|
|01||communication system , modes of communications ,Transducer and Transmitter , signal , Noise , Receiver , Attenuation , Amplification , Range , Band width , Modulation , Demodulation||27 Minutes|
|02||Band widths of signal , analog signal and digital signal , Band widths of transmission medium , Line communication , Radio communication , Optical communication , Types of wave propagation , Ground wave propagation , sky wave propagation , space wave propagation. Height of Tower and maximum distance covered by transmission||39 Minutes|
|03||modulation and its necessity ,minimum length of antenna , types of modulation.Amplitude modulation ,side band frequencies , modulation index , disadvantages of amplitude modulation||26 Minutes|
|04||Frequency modulation ,frequency deviation , carrier swing , modulation index , frequency spectrum , deviation ratio.percent modulation, Pulse modulation ,pulse amplitude modulation (PAM) , pulse width modulation (PWM) , pulse position modulation (PPM),Demodulation , important problems||31 Minutes|
|01||Human eye, near point, far point, least distance of distinct vision, Eye defects, Near sightedness (myopia) and its remedy, far sightedness (Hypermetropia) and its remedy. Problems||36 Minutes|
|02||Magnifying power of optical instruments, simple microscope (magnifying glass), Magnification when image is formed at Least distance of distinct vision and magnification when image is formed at infinity. Compound microscope (magnifying glass) ,magnification when image is formed at Least distance of distinct vision and magnification when image is formed at infinity.||42 Minutes|
Telescope, astronomical telescope , its magnification when image is formed at Least distance of distinct vision and magnification when image is formed at infinity. -
Terrestrial telescope , magnification when image is formed at Least distance of distinct vision and magnification when image is formed at infinity.Galilean Telescope , magnification when image is formed at Least distance of distinct vision and magnification when image is formed at infinity
|01||Diffraction ,single slit Diffraction, some important points about diffraction, difference between Interference and diffraction||51 Minutes|
|02||Resolution , Rayleigh criteria for resolution , Resolution by simple microscope , resolution by telescope||33 Minutes|
|03||Polarization , polarizer , analyzer , plane of polarization , polarization by reflection , angle of polarization ,Brewster’s law||25 Minutes|
|01||magnetic materials , paramagnetic ,ferromagnetic , Domain and Diamagnetic materials,intensity of magnetisation||27 Minutes|
|02||magnetic intensity , magnetic susceptibility , curies law , permeability of medium , hysteresis loop , retentivity ,coercive force ,hysteresis loop of iron and steel||37 Minutes|
|01||Definition of set, Methods to represent sets :
(1) Roster form or tabular method
(2) Set builder (Property method), Inter-conversion of Roster form into set builder form or vice-versa;
Types of sets:
(1) Null Set (2) Singleton set
(3) Finite set & Cardinal number of set (4) Equivalent sets. (5) Equal sets
|02||Subsets, Proper subset, Total number of subsets, Idea of intervals:
(1) Close interval
(3) Discrete interval or curly bracket,
Operation on sets (By venn-diagram)
(1) Union of 2 sets
(2) Intersection of 2 sets
(3) Set A and its complement
|03||(4) Set A but not B
(5) Set B but not A
(6) Neither A nor B
(7) Atleast one set out of three sets A, B, C
(8) Atleast 2 sets out of 3 sets
(9) Exact 2 sets out of 3 sets
(10) Exact 1 set out of 3 sets
(11) Neither A, B nor C.
Laws of Algebra of sets
|04||Cartesian Product ordered pair, ordered triplets, Cartesian Product of 2 sets or 3 sets,
Introduction of Relations
|05||Relations, Total number of relations, types of relations:
(1) Void relation (2) Universal Relation
(3) Identity Relation (4) Reflexive Relation
(5) Symmetric Relation (6) Transitive Relation
(7) Equivalence Relation
|1 Hrs 02 Minutes|
|06||Definition of function, Its domain and co-domain and range.||43 Minutes|
|01||Definition of Function, Domain, Co-domain, Range, Mapping diagram, Graphical definition of function,
Rational (or Polynomial) Functions, Basic concepts, Rational inequalities, Steps to solve Rational-Inequalities.
|1 Hrs 14 Minutes|
|02||Solving Rational-inequalities (Non-repeated and repeated linear factors), How to take square and reciprocal
in case of inequalities.
|1 Hrs 04 Minutes|
|03||Modulus or Absolute value functions, Formulae of modulus-functions, Removal of Modulus-Functions, Graphs
of Modulus-Function, Modulus - Inequalities.
|1 Hrs 05 Minutes|
|04||Modulus-Equations and Inequalities.||55 Minutes|
|05||Irrational-functions, their domain and Range, Irrational Equations and inequalities, Determining domain of
|1 hrs 03 Minutes|
|06||Irrational-Inequalities, Exponential & Logarithmic functions, their basic graphs, formulae.||1 hrs 05 Minutes|
|07||Formulae of Log functions, Log and exponential equations.||50 Minutes|
|08||Exponential and Log-inequalities when base is positive fractional or greater than one.||41 Minutes|
|09||(a) Log-inequalities when base is variable
(b) Log-inequalities when base is variable. Determining domain of Log-functions.
(a) 33 Minutes
(b) 48 Minutes
|10||Greatest integer function (GIF), Basic graph, Formulae, Fractional Part function (FPF), Basic Graph, Formulae,
Signum-function, Basic graph. Questions.
|11||(a,b) Questions on GIF, FPF and Signum functions.||
(a) 39 Minutes
(b) 32 Minutes
|12||(a) Trigonometric equations, General Solutions, Fundamental and General period of Basic T-Ratios,
(b) Questions the determining General and Particular solutions of T-Equations.
(a) 1 Hr. 04 Minutes
(b) 32 Minutes.
|13||(a) Questions, T-inequalities
(b) T-inequalities, Domain of T-Functions.
(a) 42 Minutes
(b) 35 Minutes
|14||Inverse -trigonometric functions, condition for defining inverse of a function, classification of functions.
One-One (Injective) or many one functions, onto (Surjective) or into functions, bijective functions, Basic
Graphs of 6 inverse trigonometric - functions. Properties of ITF, Defining T (T–1(x)) or T–1 (T(x))
|1 Hrs 15 Minutes|
|15||Finding basic values of ITF, Domain of all types of functions.||1 hrs 06 Minutes|
|16||Domain of functions, Range of Functions
Method of determining Range of functions
M-1 Represent x or function of x in terms of y
M-2 Range by Using Monotonocity
|1 hrs 12 Minutes|
|17||M-3 Range of L / L, Q / L, L / Q, Q / Q
M-4 Range of composite functions
|1Hrs 15 Minutes|
|18||Domain and Range of composite functions by defining them in one-interval or in different-different intervals.
(Using graphical method)
|1 Hrs 10 Minutes|
|19||Composite functions in different intervals.
Types of functions: (1) one-one (injective function)
Condition of injectivity by differentiation
(2) Onto (surjective) functions.
(3) Bijective functions. Inverse of a function
|1 Hrs 17 Minutes|
|20||Number of 1-1 mappings, number of surjective (onto) mapping, questions on classification of functions.||1 hrs 04 Minutes|
|21||Questions on classification of functions and determining inverse of a function.||58 Minutes|
|22||Inequalities of Inverse trigonometric functions, graphs of y = T (T–1 (x)) = x (Non-Periodic Functions)
Graphs of y = T–1 (T(x)) (Periodic Functions)
|23||Graphs of y = T–1 (T(x)), Questions,
Inter-conversion between various ITF’s.
|1 hrs 06 Minutes|
|24||Equal or Identical functions; Simplification of Miscellaneous ITF’s, Graphs.||1 hrs 11 Minutes|
|25||(a) Simplification of Miscellaneous ITF’s, Inverse-trigonometric functions of tan–1x ± tan–1y,
sin–1x ± sin–1y or cos–1x ± cos–1y, Questions
(b) Solving Inverse trigonometric equations.
(a) 51 Minutes
(b) 40 Minutes
|26||Summation series of inverse-trigonometric functions, even or odd functions.||1 hrs 01 Minutes|
|27||Even or odd functions, periodic functions, fundamental or general periods of basic functions, properties
related to periodicity of functions.
|1 Hrs 05 Minutes|
|28||Determining the fundamental period of functions, Range by period of function, functional equations to
|1 hrs 02 Minutes|
(a) 47 Minutes
(b) 54 Minutes
|30||Curve tracing using differential calculus.
Graph of maximum/minimum of functions between two or more than 2 functions.
|1 Hrs 12 Minutes|
|31||Maximum-Minimum of a Curve, Miscellaneous graphs||54 Minutes|
|01||(a) Concept of Limit, Left Hand Side Limit (LHL) and Right Hand Side Limit (RHL) , Algebra on limits
(b) 7 Indeterminant forms, Steps to determining limit of a function when x→a, where to evaluate LHL & RHL separately (Doubtful points)
(a) 52 Minutes
(b) 36 Minutes
|02||(a) Identify type of indeterminant forms, Method of solving Limits
(i) Factorisation (ii) Rationalization
(b) Questions on factorisation and Rationalisation
|(a-50 Min., b-25 Min.)|
|03||(a) M-3- Evaluate of limit when x →∞ or x→ –∞
(b) Questions based on method no.3
|(a-34 Min., b-33 Min.)|
|04||(a) M-4- Series expansion by Maclaurin’s Series, Series Expansion of Basic functions,
(b) Determining unknown parameters by series expansion.
M-5- Standard - Limits
|(a-37 Min., b-27 Min.)|
|05||(a) Formulae of standard-limits, Questions based on standard limits.
(b) Standard limits using substitution method.
M-6- Limit in form of 1∞
|(a-47 Min., b-28 Min.)|
|06||(a) Questions on 1∞ form. L’Hospital’s rule (LH-Rule).
(b) Questions based on LH-Rule
|(a-36 Min., b-22 Min.)|
|07||(a) 0° or ∞° forms.
(b) Miscellaneous questions of limit
|(a-41 Min., b-36 Min.)|
|08||Sandwitch Theorem ( or Squeeze - Play Theorem)
Continuity of a function y = f(x) at point x = a
Types of discontinuity:
(1) First kind of discontinuity (removable discontinuity) (In this case limit exist)
(A) Missing point discontinuity.
(B) Isolated point discontinuity.
(2) Non-Removable Discontinuity (Limit does not exist)
(A) Finite Non-removable discontinuity, Jump of discontinuity = | RHL – LHL |
(B) Infinite Non-removable discontinuity.
(C) Oscillating discontinuity.
Jump of discontinuity = | RHL – LHL |
|09||(a, b) Continuity at a point,
Continuity in an interval, determining unknown parameters using concept of continuity at a point.
|(a-32 Min., b-18 Min.)|
|10||(a, b) Differentiability of a function at a point, Equation of tangent at a point,
Questions to check continuity and differentiability at a point
|(a-45 Min., b-20 Min.)|
|11||(a) Determining unknown parameters using concepts of continuity and differentiability at a point.
Continuity and differentiability of higher order derivatives.
(b) Questions based on LH rule and differentiation.
|(a-38 Min., b-30 Min.)|
|12||(a, b) Differentiability in an interval, questions based to check continuity and differentiability in an interval.||(a-29 Min., b-27 Min.)|
|13||(a) Graphical method to check differentiability,
Differentiability of maximum-minimum of two or more than 2 functions.
(b) Graphical method to check differentiability
|(a-32 Min., b-30 Min.)|
|14||(a) Determination of a function using differentiation
(b) Miscellaneous questions based on LCD.
|(a-25 Min., b-24 Min.)|
|15||(a, b) Miscellaneous questions based on LCD.||(a-33 Min., b-34 Min.)|
|01||(a) Some basic differentiation by using first principle (AB-Initio method), Rules of differentiation
(b) Formulae of differentiation, Properties of differentiation , Differentiation of Product of two functions,
Chain Rule, Differentiation of
u/v, Differentiation of composite functions,
Differentiation of Parametric functions, Differentiation of one function w.r.t. other functions.
|(a-30 Min., b-41.22 Min.)|
|02||Questions of Differentiation of functions.||55 Minutes|
|03||(a, b) Differentiation of Log-functions.||(a-29 Min., b-23 Min.)|
|04||(a) Derivative of inverse - functions.
(b) Derivative of inverse - functions by substitution method.
|(a-16 Min., b-38 Min.)|
|05||(a) Derivative of Inverse - Functions by substitution method
(b) Derivative of Inverse - Functions and derivative of higher order Inverse functions.
(c) Questions based on differentiation of ITFs, Parametric differentiation
|(a-25 Min., b-33 Min., c-25 Min.)|
|06||(a,b) Parametric Differentiation, Differentiation of Implicit functions.||(a-37 Min., b-21 Min.)|
|07||(a) Derivative of functions represented by infinite series, Differentiation of determinants.
(b) Higher order derivatives.
|(a-28 Min., b-25 Min.)|
|08||(a,b) Higher order derivatives.||(a-24 Min., b-25 Min.)|
|01||(a) Brief Revision of Straight Line and Tangent-Normal:
Equation of tangent and Normal to the curve y = f (x) at a point, Length of tangent,
Length of subtangent, Length of normal, Length of subnormal, Tangent to the curve at (0, 0)
(b) Questions based on concept of tangent and normal when point lies on the curve.
|(a-27 Min., b-42 Min.)|
|02||(a) Questions based on tangent and normal when curve given in parametric form.
(b) Tangent and normal from an external point.
|(a-26 Min., b-34 Min.)|
|03||(a) Questions based on tangents and normals from an external point.
(b) Tangent on the curve - intersecting the curve again.
|(a-35 Min., b-23 Min.)|
(b) Angle of intersection of two curves; shortest -distance between 2 non-intersecting curves.
|(a-36 Min., b-39 Min.)|
|05||(a) Rate of change
(b) Approximate value of a number, Monotonocity of a function, strictly increasing (SI),
Strictly decreasing (SD), Monotonically increasing (MI), Monotonically decreasing (MD) functions,
Monotonocity at a point and in an interval, Condition for monotonocity for differentiable functions,
Monotonocity of discontinuous functions.
|(a-26 Min., b-46 Min.)|
|06||(a, b) Questions on monotonicity of function at a point or in an interval.||(a-35 Min., b-39 Min.)|
|07||(a) Questions of Monotonocity.
(b) Proving inequalities by using monotonocity.
|(a-35 Min., b-32 Min.)|
|08||(a) Concavity, Convexity and point of inflexion (POI) of curve.
(b) Curve tracing by using concept of differential calculus.
|(a-30 Min., b-29 Min.)|
|09||(a, b) Rolle’s theorem, Langrange’s Mean Value theorem (LMVT)||(a-30 Min., b-35 Min.)|
|10||(a, b, c) Maxima and minima at a point, local maxima and local minima and absolute maxima and absolute
minima. Range of a function in an interval. Using concept of maxima and minima.
|(a-28 Min., b-20 Min., c-29 Min.)|
|11||(a, b) Questions.||(a-28 Min., b-28 Min.)|
|12||(a) Questions of Maxima and Minima based on location of roots.
Theory of equations using maxima and minima.
(c) Optimization of Geometrical problems by maxima and minima.
|(a-33 Min., b-40 Min., c-55 Min.)|
|13||(a, b) Geometry Problems.||(a-43 Min., b-41 Min.)|
|14||Geometry Problems.||33 Minutes|
|01||(a) Concept of integration, Standard formulae
(b) Defining all standard formulae.
|(a-34 Min., b-23 Min.)|
|02||(a, b) Basic integration directly formulae based.||(a-39 Min., b-39 Min.)|
|03||(a) Substitution method; Formulae of some standard substitution.
(b) Questions based on substitution method.
|(a-27 Min., b-33 Min.)|
|04||(a) Integral in the form of : ∫sinm x cosn x dx ; ∫ tanm x secn x dx
(b) Integral in the form of : ∫ xm(a + bxn )dx , Questions on substitution method.
|(a-40 Min., b-31 Min.)|
|05||(a) Questions on substitution method in irrational functions.
(b) Questions on substitution method.
|(a-34 Min., b-38 Min.)|
|06||(a) Integration by parts.
(b) Integration by parts, Using
(A) ∫ex (f(x) + f '(x))dx = f(x)ex + C OR (B) ∫(f(x) + xf '(x))dx = xf(x) + C
|(a-35 Min., b-36 Min.)|
|07||(a) Questions based on integration by parts.
(b) Questions based on integration by parts, Integration of Rational function - by partial fraction method-
(i) When non-repeated linear factors in denominator
(ii) Repeated linear factors in denominator
(iii) Quadratic factors in denominator (D<0)
|(a-29 Min., b-38 Min.)|
(a) Questions on partial fraction method
Integration in the form of : ∫ (px+q)dx ÷ ax2+bx+c
(b) Integration in the form of : ∫ (x2 ± a2)dx ÷ x4+kx2+a4 or ∫ dx ÷ x4+kx2+a4
Integration in the form of : (a) ∫ dx ÷ x(xn + 1) (b) ∫ dx ÷ xn (1+xn)1/n (c) ∫ dx ÷ x2(xn+1)n-1/n
|(a-44 Min., b-32 Min.)|
(a) Integration of Irrational Functions
Integration in the form of : ∫ (px+q)dx ÷ √ax2+bx+c OR ∫(px+q) √ax2+bx+c dx
(b) Integration in the form of :
(A) ∫ dx ÷ (px+q)√ax+b (B) ∫ dx ÷ (px2+qx+r)√ax+b
(C) ∫ dx ÷ (px+q)√ax2+bx+c (D) ∫ dx ÷ (px2+qx+r)√ax2+bx+c
(c) Questions based on Integration of Irrational functions.
|(a-35 Min., b-25 Min.)|
(a) Integration in the form of : ∫ dx ÷ a + bsin x OR ∫ dx ÷ a + bcos x
∫ dx ÷ asinx ± bcos x OR ∫ dx ÷ a sinx ± b cos x + c OR ∫ (p sin x + qcos x + r) ÷ (a cos x + b sin x + c) * dx
Integration in the form of :
∫ (a sin x + b) dx ÷ (a+b sin x)2 OR ∫ (a cos x+b) dx ÷ (a+b cos x)2
Integration in the form of ∫(sinx + cos x)f(sin2x)dx
(b) Integration in the form of :
∫ f(eax )dx OR ∫ (aex + be-x ) ÷ (pex + qe-x )*dx , Reduction Formulae.
|(a-42 Min., b-38 Min.)|
|11||(a, b) Miscellaneous Questions||(a-25 Min., b-38 Min.)|
|12||(a, b) Miscellaneous Questions||(a-33 Min., b-29 Min.)|
(a, b) Introduction of definite integral (DI), Geometrical interpretation of definite integral,
|(a-49 Min., b-35 Min.)|
(a, b) Questions based on P1, P2 and Concepts of indefinite integration.
|(a-38 Min., b-33 Min.)|
b c b
|(a-33 Min., b-38 Min.)|
Questions based on P4.
|(a-44 Min., b-40 Min.)|
(a, b) Questions based on P4,
Questions based on P5, P6.
|(a-41 Min., b-33 Min.)|
(a, b) Property No. 7 (Based on periodicity of function) :
|(a-37 Min., b-52 Min.)|
|07||(a) Questions based on Leibnitz theorem.
(b) Definite Integrals as the limit of a sum (AB-initio method).
|(a-27 Min., b-47 Min.)|
|08||Questions based on integral as Limit of a sum.||(a-35 Min.)|
|01||(a,b) Quadrature, How to evaluate area under the curve with x-axis or with y-axis, area bounded by the
two intersecting curves, area bounded by the curves in different-2 conditions.
|(a-37 Min., b-17 Min.)|
|02||(a, b, c) Questions based on area under the curves.||(a-28 Min., b-24 Min., c-29 Min.)|
|03||(a, b) Questions, Questions based on determining parameters.||(a-36 Min., b-29 Min.)|
|04||(a, b) Questions based on determining the parameters, area under the curves using inequalities.||(a-36 Min., b-39 Min.)|
|05||(a, b) Area under the curves using functional inequalities, area bounded with f(x) and its inverse f–1 (x).
|(a-30 Min., b-30 Min.)|
|01||(a, b, c) Introduction of DE, Ordinary Differential Equation (ODE) and Partial Differential Equations (PDE),
Order and degree of DE, about constants, arbitrary constants and essential arbitrary constants,
Formation of differential equations, Methods of solving differential equations.
General solutions and particular solutions of differential equations.
Method no.1 : Variable separable form, in the form of dy÷dx= f(x).g(y).
|(a-47 Min., b-18 Min., c-22 Min.)|
|02||(a, b) Method no. 2: (a) Reduces to variable separable form, i.e. in the form of dy÷dx = f(ax+by+c).
(b) Substitution method: in x2 + y2 = r2 , put x = r cos θ, y = r sin θ,
and in x2 – y2 = r2 , put x = r sec θ, y = r tan θ,
Method no. 3: Solution of Homogeneous differential equations, in the form of dy÷dx = f(y÷x) or dx÷dy=f(x÷y), Questions
|(a-27 Min., b-34 Min.)|
|03||(a, b, c) Questions on method no. 3,
Method No. 4 :
Reduces to Homogeneous Differential equation, i.e. in the form of dy÷dx=ax+by+c÷Ax+By+k , Questions
Method no. 5 : Exact (direct) differential equations. Questions based on method no. 5.
|(a-25 Min., b-34 Min., c-23 Min.)|
|04||(a, b) Method no. 6 : Linear differential equation, i.e. in the form of dy÷dx+Py=Q OR dx÷dy+Px=Q Method No.7 : Reduces to linear differential equations (Bernoulli’s equations)||(a-40 Min., b-33 Min.)|
|05||(a, b, c) Geometrical applications of differential equations,
Tangent and normal to the curve y = f(x) at point (x, y), length of tangent,
Length of subtangent, Length of Normal, Length of subnormal, Radius-vector,
Higher Degree & order of differential equations, orthogonal trajectory (OT) of curves,
Clairaut’s differential equations.
|(a-29 Min., b-35 Min., c-32 Min.)|
Definition of Matrix A = [ai j ]m x n
# Algebra of matrices
|02||Questions based on types of matrices and Algebra of Matrices.
Questions based on Matrix - multiplication, transpose of matrix, properties of transpose.
|(a-32 Min., b-42 Min.)|
Questions based on Transpose and multiplication, some special types of square matrices :
|1 Hr. 15 Min.|
|04||Questions (1), (2) and (3)
Solutions of questions No. (1), (2) and (3)
Question based on square matrices.
|05||Introduction of determinants,
Expansion of 2x2 and 3x3 order determinants,
Properties of determinants.
|1 Hr. 35 Min.|
|06||(a) Questions on determinants
(b) Questions on determinants, product of 2 determinants, questions based on product of determinants.
|(a-58 Min., b-45 Min.)|
|07||Questions on product of 2 determinants,
Differentiation and integration of determinants,
Summation of determinants,
System of Non-Homogenous Linear equations in 3 variables,
|1 Hr. 2 Min.|
|08||System of linear equations in 2-variables,
Consistency and Inconsistency of linear equations,
Homogenous system of linear equations,
Trivial and Non-trivial solutions of Homogenous linear equations,
|1 Hr. 1 Min.|
|09||(a) Adjoint of square matrix, inverse of a square matrix,
Properties of adjoint and Inverse of matrix,
System of Linear equations by matrix method, questions.
(b) Questions, Elementary transformations along row (column),
Introduction of Rank of a matrix.
(c) Determination of Rank of a matrix.
|(a-55 Min., b-39 Min., c-20 Min.)|
|10||(a) Consistency and Non-consistency of system of Linear equations by Rank method,
Solution of 3 equations in two variables.
(b) Matrices polynomial, characteristic matrix,
Inverse of a non-singular matrix by elementary transformation (along Row / Column) (Board Topic)
|(a-52 Min., b-37 Min.)|
|01||Introduction of vector, types of vectors:
(1) Null vectors
(2) Unit Vector
Law’s of addition/subtraction in a parallelogram.
(3) Position vector (PV)
(4) Equal vectors
(5) Parallel or collinear vectors
|1 Hr. 13 Min.|
|02||(a) (6) Coplanar vectors
(7) Reciprocal vectors
Geometry on vectors
(1) Distance formula
(2) Section formula (Internal section division and External section Division)
Dot product (scalar-product) of two vectors.
Geometrical interpretation, projection of vector.
Component of vector.
(b) Projection and component of vector along and perpendicular to other vector,
Properties of dot product,
|(a-55 Min., b-39 Min.)|
|03||Cross product (Vector - product) of two vectors,
Geometrical - interpretation, properties of cross-product,
|(1 Hr. 2 Min.)|
|04||Direction cosines (DC’s) and direction -Ratios (DR’s) of a line segment, questions.||(1 Hr. 20 Min.)|
|05||Vector equation of a line (parametric & non parametric form), Symmetrical form of a line (3-D Form)
Point of intersection of 2 lines,
|06||Questions based on line.||38 Minutes|
|07||Questions, Plane, Vector equation of a plane passing through a point and whose direction alongn n ,
General equation of plane, equation of a plane passing through 3 points,
Intercept form of plane, Condition of coplanarity of 4 points, angle between 2 planes,
Equation of plane parallel to given plane, Distance between two parallel planes, Perpendicular distance, Foot
of perpendicular, Image of a point w.r.t. plane. Angle bisectors of two planes.
|08||Condition of acute or obtuse angle bisectors, position of points w.r.t. plane or angle bisector containing a
points; Angle between two planes, condition of line perpendicular to plane and condition of a line parallel to
Questions based on line and plane.
|(1 Hr. 3 Min.)|
|09||Questions based on line & plane.||57 Minutes|
|10||Family of planes passing through line of intersection of 2 planes, symmetrical form of line, unsymmetrical
form of line, reduction of unsymmetrical form of line into symmetrical form.
Questions, Condition of co-planarity of two lines.
Equation of plane containing 2 lines. Questions
|11||Questions, skew-lines, shortest distance (SD) between 2 skew-lines, condition for lines to be intersecting,
distance between two parallel lines.
|12||Angle bisectors of two lines, Acute or obtuse angle bisectors. Questions||46 Minutes|
|13||Scalar triple product (STP) of 3 vectors. Geometrical interpretation. Volume of parallelopiped. Properties of
STP. Vector-triple product of three vectors (VTP). Geometrical - Interpretation.
|(1 Hr. 11 Min.)|
|14||Questions on STP and VTP, Tetrahedron, its centroid, volume of tetrahedron, angle between any 2 faces of
|(1 Hr. 5 Min.)|
|15||(a,b) Circum-radius and inradius of regular tetrahedron. Questions, Reciprocal-system of vectors,
Linearly Independent and Linearly dependent vectors (LILD), Sphere, Types of sphere,
Section of Sphere intersected by a plane, Questions of sphere.
|(a-47 Min., b-60 Min.)|
|01||Some definitions : (1) Experiment (2) Sample - space (3) Event (E)
Types of Events:
(a) Happening or occurance of an event
(b) Compliment (Non-occurance) of event,
Definition of Probability : p(A) =
Favourable elements of event A / Total elements
(c) Simple events
(d) Compound or mixed events
(e) Exclusive: Events
(f) Exhaustive events
(g) Equally likely events
(h) Independent events or dependent events
Questions based on permutation and combination.
|(a- 47 Min., b-28 Min., c-26 Min., d-41 Min.)|
|02||Algebra of events:
(1) Event A
(2) Complement of event A
(3) Events A & B both
(4) Atleast event A or B
(5) Event A but not event B
(6) Event B but not event A
(7) Exactly one event out of 2 events
(8) None of events A or B
(9) Event A or B but not both
(10) Atleast one of the events A, B, C
(11) Exactly one event out of 3 events
(12) Exactly 2 events out of 3 events
(13) None of events out of 3 events.
(14) Occurance of events A & B but not C.
Questions based on Algebra of events,
Conditional probability, Multiplication theorems for dependent or Independent events, Complement Law,
Questions on Conditional Probability.
|(a-34 Min., b-35 Min., c-25 Min., d-24 Min.)|
|03||Questions based on Conditional probability,
Questions based on dependent or independent events,
Law’s of total probability.
|(a-26 Min., b-29 Min., c-31 Min., d-39 Min.)|
|04||Baye’s theorem (Reverse theorem).||(a-27 Min., b-40 Min., c-24 Min., d-4 Min.)|
|05||Discrete - Random variable,
Probability - Distribution, Mean & Variance of discrete - random variable X,
Variance, Standard derivation,
#Binomial - Distribution, Mean and Variance of Binomial Distribution,
Questions based on them.
|(a-35 Min., b- 32 Min., c-26 Min.)|