JEE Advanced

• Units, Measurements and Experimental Skills

  6 of 12 topics

  • Units and dimensions
  • Dimensional analysis
  • Least count and significant figures
  • Measurement and error analysis
  • Vernier callipers and screw gauge
  • Simple pendulum and determination of g

• Kinematics

  5 topics

  • One-dimensional motion
  • Two-dimensional motion in Cartesian coordinates
  • Projectile motion
  • Uniform circular motion
  • Relative velocity

• Laws of Motion, Work and Energy

  6 of 7 topics

  • Newton's laws of motion
  • Inertial and uniformly accelerated frames
  • Static and dynamic friction
  • Kinetic and potential energy
  • Work and power
  • Conservation of linear momentum

• Centre of Mass and Collisions

  5 topics

  • Systems of particles
  • Centre of mass and its motion
  • Impulse
  • Elastic collisions
  • Inelastic collisions

• Rotational Motion

  6 of 9 topics

  • Rigid bodies
  • Moment of inertia
  • Parallel and perpendicular axes theorems
  • Angular momentum and torque
  • Conservation of angular momentum
  • Fixed-axis dynamics

• Oscillations

  5 topics

  • Linear simple harmonic motion
  • Angular simple harmonic motion
  • Forced oscillations
  • Damped oscillations
  • Resonance

• Gravitation

  6 of 7 topics

  • Law of gravitation
  • Gravitational potential and field
  • Acceleration due to gravity
  • Kepler's laws
  • Planetary and satellite circular motion
  • Geostationary orbits

• Properties of Matter and Fluids

  6 of 11 topics

  • Hooke's law and Young's modulus
  • Pressure and Pascal's law
  • Buoyancy
  • Surface energy and surface tension
  • Angle of contact, drops and bubbles
  • Capillary rise

• Waves and Sound

  6 of 7 topics

  • Longitudinal and transverse waves
  • Superposition of waves
  • Progressive and stationary waves
  • Strings and air columns
  • Resonance and beats
  • Speed of sound in gases

• Thermal Physics

  6 of 13 topics

  • Thermal expansion
  • Calorimetry and latent heat
  • Heat conduction
  • Convection and radiation
  • Newton's law of cooling
  • Ideal gas laws

• Electrostatics

  6 of 7 topics

  • Coulomb's law
  • Electric field and potential
  • Potential energy of point charges
  • Dipoles in a uniform field
  • Electric field lines and flux
  • Gauss's law

• Capacitance

  5 topics

  • Capacitance
  • Parallel-plate capacitor
  • Dielectrics
  • Series and parallel capacitors
  • Energy stored in a capacitor

• Current Electricity

  6 topics

  • Electric current
  • Ohm's law
  • Series and parallel resistances
  • Series and parallel cells
  • Kirchhoff's laws
  • Heating effect of current

• Magnetic Effects of Current

  6 of 9 topics

  • Biot-Savart law
  • Ampere's law
  • Fields of a straight wire, circular coil and solenoid
  • Force on a moving charge
  • Force on a current-carrying wire
  • Magnetic moment of a current loop

• Electromagnetic Induction and Circuits

  6 of 8 topics

  • Faraday's law
  • Lenz's law
  • Self and mutual inductance
  • RC circuits
  • LR circuits
  • LC circuits

• Electromagnetic Waves

  6 of 9 topics

  • Characteristics of electromagnetic waves
  • Radio waves
  • Microwaves
  • Infrared
  • Visible light
  • Ultraviolet

• Optics

  6 of 12 topics

  • Rectilinear propagation
  • Reflection and refraction at plane and spherical surfaces
  • Total internal reflection
  • Prism deviation and dispersion
  • Thin lenses
  • Mirror and lens combinations

• Modern Physics

  6 of 11 topics

  • Atomic nucleus
  • Alpha, beta and gamma radiation
  • Radioactive decay
  • Decay constant, half-life and mean life
  • Binding energy
  • Fission and fusion

Showing 104 of 148 topics in this subject.Show all 148 topics →

• General Topics

  6 of 8 topics

  • Atoms and molecules
  • Dalton's atomic theory
  • Mole concept
  • Chemical formulae
  • Balanced equations
  • Stoichiometry

• States of Matter: Gases and Liquids

  6 of 8 topics

  • Gas laws and ideal gas equation
  • Absolute temperature scale
  • van der Waals equation and deviation from ideality
  • Kinetic theory and molecular speeds
  • Partial pressures
  • Diffusion

• Atomic Structure

  6 of 8 topics

  • Bohr model and hydrogen spectrum
  • Wave-particle duality and de Broglie hypothesis
  • Uncertainty principle
  • Quantum numbers and wave functions
  • Probability density and orbital shapes
  • Aufbau principle

• Chemical Bonding and Molecular Structure

  6 topics

  • Orbital overlap and covalent bond
  • s, p and d hybridisation
  • Molecular-orbital diagrams up to Ne2
  • Hydrogen bonding
  • Polarity and dipole moment
  • VSEPR model and molecular shapes

• Chemical Thermodynamics

  6 of 9 topics

  • Intensive and extensive properties
  • State functions
  • First law, internal energy, work and heat
  • Enthalpy and heat capacity
  • Standard state and Hess's law
  • Reaction, fusion, vaporisation and lattice enthalpy

• Chemical and Ionic Equilibrium

  6 of 9 topics

  • Law of mass action
  • Gibbs energy and equilibrium
  • Kp, Kc and reaction quotient
  • Le Chatelier's principle
  • Solubility product
  • Common-ion effect

• Electrochemistry

  6 of 11 topics

  • Electrochemical cells and reactions
  • Standard electrode potentials
  • Electrochemical work
  • Nernst equation
  • Electrochemical series and cell emf
  • Faraday's laws

• Chemical Kinetics

  6 of 9 topics

  • Reaction rates
  • Order and molecularity
  • Rate law and rate constant
  • Half-life
  • Zero- and first-order integrated rate expressions
  • Arrhenius equation and activation energy

• Solid State

  6 of 7 topics

  • Classification and crystalline state
  • Seven crystal systems
  • Cubic and hexagonal close packing
  • fcc, bcc and hcp lattices
  • Nearest neighbours
  • Ionic radii and radius ratio

• Solutions

  6 of 8 topics

  • Henry's law
  • Raoult's law
  • Ideal solutions
  • Vapour-pressure lowering
  • Boiling-point elevation
  • Freezing-point depression

• Surface Chemistry

  6 topics

  • Physisorption and chemisorption
  • Freundlich adsorption isotherm
  • Colloid types and preparation
  • Colloid properties
  • Emulsions
  • Surfactants and micelles

• Classification of Elements and Periodicity

  6 of 8 topics

  • Modern periodic law
  • Electronic configurations
  • Atomic and ionic radii
  • Ionisation enthalpy
  • Electron-gain enthalpy
  • Valence and oxidation states

• Hydrogen

  6 topics

  • Position and isotopes of hydrogen
  • Preparation, properties and uses
  • Ionic, covalent and interstitial hydrides
  • Water and heavy water
  • Hydrogen peroxide
  • Hydrogen as a fuel

• s-Block Elements

  6 topics

  • Alkali and alkaline-earth reactivity
  • Reducing nature and liquid-ammonia solutions
  • Oxides, hydroxides, halides and oxoacid salts
  • Anomalous lithium and beryllium
  • Important sodium compounds
  • Important calcium compounds

• p-Block Elements

  6 of 8 topics

  • Groups 13-17 oxidation states and reactivity
  • Anomalous first elements
  • Group 13 compounds of boron and aluminium
  • Group 14 carbon and silicon compounds
  • Group 15 nitrogen and phosphorus compounds
  • Group 16 oxygen and sulphur compounds

• d-Block Elements

  5 topics

  • Oxidation states and stability
  • Standard electrode potentials
  • Interstitial compounds and alloys
  • Catalytic properties
  • Oxoanions of chromium and manganese

• f-Block Elements

  4 topics

  • Lanthanoid contraction
  • Actinoid contraction
  • Oxidation states
  • General characteristics

• Coordination Compounds

  6 of 9 topics

  • Werner's theory
  • Nomenclature
  • Cis-trans and ionisation isomerism
  • Hybridisation and geometries
  • Valence-bond and crystal-field theories
  • Magnetic properties and colour

• Isolation of Metals

  5 topics

  • Ores and concentration
  • Thermodynamic metallurgy of iron, copper and zinc
  • Electrochemical metallurgy of aluminium
  • Cyanide process for silver and gold
  • Refining

• Principles of Qualitative Analysis

  5 topics

  • Cation groups I-V
  • Ag+, Hg2+, Cu2+ and Pb2+
  • Fe3+, Cr3+ and Al3+
  • Ca2+, Ba2+, Zn2+, Mn2+ and Mg2+
  • Nitrate, halide, carbonate, bicarbonate, sulphate and sulphide tests

• Environmental Chemistry

  6 topics

  • Atmospheric pollution
  • Water pollution
  • Soil pollution
  • Industrial waste
  • Pollution-control strategies
  • Green chemistry

• Basic Principles of Organic Chemistry

  6 of 10 topics

  • Carbon hybridisation and sigma/pi bonds
  • Molecular shapes and aromaticity
  • Structural and geometrical isomerism
  • Stereoisomers up to two asymmetric centres
  • Combustion analysis
  • IUPAC nomenclature

• Alkanes

  5 topics

  • Homologous series and physical properties
  • Effect of branching
  • Ethane and butane conformations
  • Preparation from alkyl halides and carboxylic acids
  • Combustion, halogenation and oxidation

• Alkenes and Alkynes

  6 of 9 topics

  • Physical properties
  • Elimination preparation
  • Acid-catalysed hydration
  • Metal acetylides
  • KMnO4 and ozonolysis
  • Reduction

• Benzene

  6 topics

  • Structure
  • Halogenation
  • Nitration
  • Sulphonation
  • Friedel-Crafts alkylation and acylation
  • Directing effects in monosubstituted benzene

• Phenols

  6 of 7 topics

  • Physical properties and preparation
  • Electrophilic substitution
  • Reimer-Tiemann reaction
  • Kolbe reaction
  • Esterification and etherification
  • Aspirin synthesis

• Alkyl Halides

  4 topics

  • Carbocation rearrangements
  • Grignard reactions
  • Nucleophilic substitutions
  • Stereochemical aspects of substitution

• Alcohols

  5 topics

  • Physical properties
  • Esterification and dehydration
  • Reactions with sodium and phosphorus halides
  • Lucas reagent and thionyl chloride
  • Oxidation to aldehydes, ketones and carboxylic acids

• Ethers

  2 topics

  • Williamson synthesis
  • Carbon-oxygen bond cleavage

• Aldehydes and Ketones

  6 of 8 topics

  • Preparation from acid chlorides and nitriles
  • Aldehydes from esters
  • Benzaldehyde preparation
  • Oxidation and reduction
  • Oxime and hydrazone formation
  • Aldol and Cannizzaro reactions

• Carboxylic Acids

  6 topics

  • Physical properties
  • Preparation from nitriles and Grignard reagents
  • Hydrolysis of esters and amides
  • Benzoic acid preparation
  • Reduction and halogenation
  • Esters, acid chlorides and amides

• Amines

  6 of 8 topics

  • Preparation from nitro compounds, nitriles and amides
  • Hofmann bromamide degradation
  • Gabriel synthesis
  • Nitrous-acid reactions
  • Azo coupling
  • Sandmeyer and related reactions

• Haloarenes

  3 topics

  • Fittig reaction
  • Wurtz-Fittig reaction
  • Nucleophilic aromatic substitution

• Biomolecules

  6 of 9 topics

  • Carbohydrate classification
  • Glucose and sucrose
  • Oxidation, reduction and glycosides
  • Disaccharide hydrolysis
  • Anomers
  • Amino acids and peptide linkage

• Polymers

  6 of 10 topics

  • Addition and condensation polymerisation
  • Homo- and copolymers
  • Natural rubber
  • Cellulose
  • Nylon
  • Teflon

• Chemistry in Everyday Life

  6 of 10 topics

  • Drug-target interaction
  • Antacids
  • Antihistamines
  • Tranquilizers
  • Analgesics
  • Antimicrobials

• Practical Organic Chemistry

  5 of 6 topics

  • Detection of nitrogen, sulphur and halogens
  • Alcoholic and phenolic hydroxyl groups
  • Aldehyde and ketone carbonyl groups
  • Carboxyl group
  • Amino group

Showing 205 of 259 topics in this subject.Show all 259 topics →

• Sets, Relations and Functions

  10 topics

  • Set representations and types
  • Algebra of sets and De Morgan's laws
  • Cartesian products and ordered pairs
  • Relations, domain and codomain
  • Equivalence relations
  • Functions and mappings
  • Into, onto, one-one and invertible functions
  • Even and odd functions
  • Special functions
  • Composition of functions

• Complex Numbers

  6 topics

  • Algebra and conjugation
  • Polar representation
  • Modulus and principal argument
  • Triangle inequality
  • Cube roots of unity
  • Geometric interpretation

• Quadratic Equations

  5 topics

  • Fundamental theorem of algebra
  • Quadratics with real coefficients
  • Relations between roots and coefficients
  • Formation from given roots
  • Symmetric functions of roots

• Sequences and Series

  6 topics

  • Arithmetic and geometric progressions
  • Arithmetic and geometric means
  • Finite AP and GP sums
  • Infinite geometric series
  • Sums of natural numbers, squares and cubes
  • Logarithms and properties

• Permutations, Combinations and Binomial Theorem

  4 topics

  • Permutations
  • Combinations
  • Binomial theorem for positive integral index
  • Binomial coefficients

• Matrices and Determinants

  7 topics

  • Matrix equality and operations
  • Transpose
  • Elementary row and column transformations
  • Determinants up to order three
  • Adjoint and inverse
  • Diagonal, symmetric and skew-symmetric matrices
  • Simultaneous linear equations in two or three variables

• Probability

  8 topics

  • Random experiments and sample spaces
  • Simple and compound events
  • Addition and multiplication rules
  • Conditional probability
  • Independence
  • Total probability
  • Bayes' theorem
  • Combinatorial probability

• Statistics

  7 topics

  • Mean, median and mode
  • Mean deviation
  • Standard deviation and variance
  • Grouped and ungrouped data
  • Frequency distributions
  • Random variables
  • Mean and variance of a random variable

• Trigonometry

  5 topics

  • Trigonometric functions, periodicity and graphs
  • Addition and subtraction formulae
  • Multiple and sub-multiple angles
  • General solutions of trigonometric equations
  • Inverse trigonometric functions and principal values

• Straight Lines and Triangle Centres

  7 topics

  • Cartesian coordinates and section formula
  • Shift of origin
  • Straight-line forms
  • Angles and distances
  • Lines through intersections
  • Angle bisectors and concurrency
  • Centroid, orthocentre, incentre and circumcentre

• Circles

  5 topics

  • Circle equations
  • Tangents, normals and chords
  • Parametric equations
  • Line-circle and circle-circle intersections
  • Circle through intersections

• Conic Sections

  7 topics

  • Parabola
  • Ellipse
  • Hyperbola
  • Foci, directrices and eccentricity
  • Parametric equations
  • Tangents and normals
  • Locus problems

• Three-Dimensional Geometry

  6 topics

  • Distance and direction cosines
  • Lines in space
  • Skew lines and shortest distance
  • Planes and point-plane distance
  • Angles between lines and planes
  • Coplanar lines

• Differential Calculus

  11 topics

  • Limits and continuity
  • L'Hospital rule
  • Composite functions and intermediate value property
  • Derivatives and chain rule
  • Standard function derivatives
  • Tangents and normals
  • Increasing and decreasing functions
  • Second derivatives
  • Maxima and minima
  • Rolle's and Lagrange's mean value theorems
  • Implicit differentiation

• Integral Calculus and Differential Equations

  10 topics

  • Indefinite integration
  • Definite integrals as limits of sums
  • Properties and fundamental theorem
  • Integration by parts
  • Substitution and partial fractions
  • Areas bounded by curves
  • Formation of ordinary differential equations
  • Homogeneous first-order equations
  • Separation of variables
  • Linear first-order equations

• Vectors

  7 topics

  • Vector addition
  • Scalar multiplication
  • Dot product
  • Cross product
  • Scalar triple product
  • Vector triple product
  • Geometric interpretations

Showing all 111 topics in this subject.Show fewer topics