Practise by topic

Main 65 · Advanced 48

• SI units and systems of units
• Dimensional analysis
• Significant figures
• Errors in measurement
• Least count

Main 101 · Advanced 56

• Motion in a straight line
• Motion graphs
• Vectors
• Relative velocity
• Projectile motion
• Uniform circular motion
• Motion in a plane

Main 91 · Advanced 62

• Newton's laws
• Free body diagrams
• Constraint motion and pulleys
• Friction
• Impulse and momentum
• Pseudo forces and non-inertial frames
• Circular motion dynamics
• Banking of roads

Main 55 · Advanced 39

• Work by constant and variable forces
• Work-energy theorem
• Potential energy and conservative forces
• Spring potential energy
• Conservation of mechanical energy
• Power
• Motion in a vertical circle

Main 41 · Advanced 38

• Centre of mass
• Conservation of linear momentum
• Elastic and inelastic collisions
• Variable mass systems

Main 53 · Advanced 83

• Moment of inertia
• Parallel and perpendicular axis theorems
• Torque and rotational dynamics
• Angular momentum and its conservation
• Rolling motion
• Equilibrium of rigid bodies
• Rotational kinetic energy
• Toppling

Main 49 · Advanced 23

• Newton's law of gravitation
• Variation of g
• Gravitational field and potential
• Kepler's laws
• Satellites and orbital motion
• Escape velocity

Main 42 · Advanced 8

• Stress and strain
• Hooke's law and elastic moduli
• Elastic potential energy
• Thermal stress

Main 56 · Advanced 52

• Pressure and Pascal's law
• Buoyancy and Archimedes' principle
• Continuity equation
• Bernoulli's principle
• Viscosity and Stokes' law
• Terminal velocity
• Surface tension
• Capillarity

Main 37 · Advanced 28

• Temperature and thermal expansion
• Calorimetry and specific heat
• Latent heat and phase change
• Conduction
• Convection
• Radiation and Stefan's law
• Newton's law of cooling
• Wien's displacement law

Main 53 · Advanced 46

• Zeroth law
• First law and internal energy
• Thermodynamic processes
• Work done by a gas
• Second law and entropy
• Heat engines and refrigerators
• Carnot cycle

Main 61 · Advanced 34

• Ideal gas equation
• Kinetic interpretation of temperature
• Molecular speeds
• Degrees of freedom and equipartition
• Specific heats of gases
• Mean free path

Main 55 · Advanced 45

• Simple harmonic motion
• Energy in SHM
• Spring-mass systems
• Simple and compound pendulum
• Superposition of SHMs
• Damped and forced oscillations

Main 37 · Advanced 40

• Wave equation and progressive waves
• Speed of waves
• Superposition and interference
• Standing waves in strings
• Organ pipes and resonance
• Beats
• Doppler effect
• Intensity and loudness

Main 60 · Advanced 71

• Coulomb's law and superposition
• Electric field
• Electric dipole
• Electric flux and Gauss's law
• Electric potential
• Potential energy of charge systems
• Conductors and charge distribution
• Equipotential surfaces

Main 56 · Advanced 34

• Capacitors and capacitance
• Series and parallel combinations
• Dielectrics
• Energy stored in a capacitor
• RC circuits

Main 100 · Advanced 45

• Drift velocity and current
• Ohm's law and resistivity
• Temperature dependence of resistance
• Series and parallel resistors
• EMF and internal resistance
• Kirchhoff's laws
• Wheatstone bridge and metre bridge
• Potentiometer
• Electrical power and heating
• Ammeters and voltmeters

Main 84 · Advanced 56

• Biot-Savart law
• Ampere's circuital law
• Force on a moving charge
• Motion in magnetic and electric fields
• Force on a current-carrying conductor
• Torque on a current loop
• Moving coil galvanometer

Main 28 · Advanced 0

• Magnetic dipole and bar magnet
• Earth's magnetism
• Magnetic materials
• Hysteresis

Main 38 · Advanced 34

• Faraday's and Lenz's laws
• Motional EMF
• Eddy currents
• Self inductance
• Mutual inductance
• LR circuits
• Energy in an inductor

Main 50 · Advanced 16

• AC basics and RMS values
• Reactance and impedance
• LCR circuits and resonance
• Power in AC circuits
• LC oscillations
• Transformers and AC generator

Main 51 · Advanced 10

• Displacement current
• Properties of EM waves
• Electromagnetic spectrum
• Energy and momentum of EM waves

Main 70 · Advanced 69

• Reflection and plane mirrors
• Spherical mirrors
• Refraction at plane surfaces
• Total internal reflection
• Refraction at spherical surfaces
• Thin lenses and lens maker's formula
• Combination of lenses and mirrors
• Prism and dispersion
• Optical instruments

Main 57 · Advanced 27

• Huygens' principle
• Interference and Young's double slit
• Thin film interference
• Diffraction
• Polarisation and Brewster's law
• Resolving power

Main 52 · Advanced 30

• Photoelectric effect
• Photon momentum and radiation pressure
• de Broglie waves
• Davisson-Germer experiment

Main 36 · Advanced 30

• Rutherford model
• Bohr model and hydrogen spectrum
• X-rays
• Moseley's law

Main 34 · Advanced 38

• Nuclear composition and size
• Mass defect and binding energy
• Radioactive decay
• Nuclear fission and fusion

Main 67 · Advanced 0

• Semiconductors and p-n junction
• Diode as rectifier
• Special diodes (LED, Zener, photodiode, solar cell)
• Logic gates
• Transistors

Main 35 · Advanced 0

• Elements of communication systems
• Modulation
• Propagation of EM waves

Main 37 · Advanced 30

• Vernier callipers and screw gauge
• Errors in experiments
• Simple pendulum experiment
• Young's modulus by Searle's method
• Specific heat by method of mixtures
• Speed of sound by resonance tube
• Metre bridge and Ohm's law experiments
• Focal length measurements
• Galvanometer experiments
• Diode and Zener characteristics

Main 85 · Advanced 42

• Mole concept
• Stoichiometry
• Concentration terms
• Equivalent concept and normality
• Empirical and molecular formula

Main 62 · Advanced 27

• Bohr model
• Quantum numbers
• Orbitals and their shapes
• Electronic configuration
• de Broglie and Heisenberg
• Photoelectric effect and spectra

Main 29 · Advanced 21

• Gas laws
• Ideal gas equation
• Kinetic theory of gases
• Real gases and van der Waals equation
• Liquefaction and critical constants
• Liquid state

Main 19 · Advanced 20

• Crystal lattices and unit cells
• Packing efficiency
• Density of crystals
• Point defects
• Electrical and magnetic properties

Main 51 · Advanced 49

• First law and enthalpy
• Hess's law and enthalpies of reaction
• Bond enthalpy
• Entropy
• Gibbs energy and spontaneity
• Calorimetry

Main 48 · Advanced 28

• Concentration and solubility
• Raoult's law and vapour pressure
• Ideal and non-ideal solutions
• Colligative properties
• van't Hoff factor

Main 35 · Advanced 19

• Law of mass action and Kc, Kp
• Le Chatelier's principle
• Equilibrium and Gibbs energy

Main 43 · Advanced 36

• Acids and bases
• pH and ionisation
• Buffer solutions
• Hydrolysis of salts
• Solubility product
• Common ion effect
• Indicators and titrations

Main 46 · Advanced 48

• Oxidation number
• Balancing redox reactions
• Redox titrations

Main 59 · Advanced 41

• Galvanic cells and EMF
• Nernst equation
• Gibbs energy and EMF
• Conductance and Kohlrausch's law
• Electrolysis and Faraday's laws
• Batteries and corrosion

Main 55 · Advanced 37

• Rate of reaction and rate law
• Order and molecularity
• Integrated rate equations
• Half-life
• Arrhenius equation
• Collision theory
• Radioactive decay kinetics

Main 35 · Advanced 17

• Adsorption
• Catalysis
• Colloids
• Emulsions

Main 46 · Advanced 8

• Periodic table
• Atomic and ionic radii
• Ionisation enthalpy
• Electron gain enthalpy
• Electronegativity
• Periodic trends in properties

Main 88 · Advanced 75

• Ionic bonding
• Covalent bonding and Lewis structures
• VSEPR theory
• Hybridisation
• Molecular orbital theory
• Bond parameters and dipole moment
• Hydrogen bonding
• Resonance

Main 31 · Advanced 5

• Preparation and properties of hydrogen
• Water and hydrogen peroxide
• Hydrides

Main 35 · Advanced 5

• Alkali metals
• Alkaline earth metals
• Important compounds of s-block

Main 90 · Advanced 86

• Group 13
• Group 14
• Group 15
• Group 16
• Group 17
• Group 18
• Oxoacids
• Interhalogen compounds
• Silicates and silicones
• Boranes

Main 68 · Advanced 26

• Transition element properties
• Important compounds (KMnO4, K2Cr2O7)
• Lanthanoids
• Actinoids

Main 85 · Advanced 71

• Nomenclature
• Isomerism in complexes
• Valence bond theory
• Crystal field theory
• Magnetic properties and colour
• Stability and applications
• Metal carbonyls and EAN rule

Main 39 · Advanced 23

• Concentration of ores
• Extraction and thermodynamics (Ellingham)
• Refining
• Extraction of specific metals

Main 27 · Advanced 34

• Cation analysis
• Anion analysis
• Flame and borax bead tests

Main 34 · Advanced 0

• Atmospheric pollution
• Water and soil pollution

Main 119 · Advanced 55

• IUPAC nomenclature
• Electronic effects (inductive, resonance, hyperconjugation)
• Reactive intermediates
• Acidity and basicity
• Aromaticity
• Reaction types and mechanisms
• Purification and characterisation
• Qualitative and quantitative analysis of organic compounds

Main 33 · Advanced 48

• Structural isomerism
• Geometrical isomerism
• Optical isomerism and chirality
• Conformations

Main 96 · Advanced 88

• Alkanes
• Alkenes
• Alkynes
• Aromatic hydrocarbons and electrophilic substitution

Main 47 · Advanced 31

• SN1 and SN2
• Elimination reactions
• Haloarenes
• Polyhalogen compounds

Main 67 · Advanced 56

• Alcohols
• Phenols
• Ethers

Main 61 · Advanced 71

• Nucleophilic addition
• Aldol and related condensations
• Oxidation and reduction
• Named reactions

Main 36 · Advanced 49

• Carboxylic acids
• Acid derivatives
• Acidity of carboxylic acids

Main 69 · Advanced 43

• Amines
• Diazonium salts
• Nitro compounds
• Cyanides and isocyanides

Main 54 · Advanced 35

• Carbohydrates
• Amino acids and proteins
• Nucleic acids
• Vitamins and hormones

Main 33 · Advanced 7

• Polymerisation
• Common polymers

Main 32 · Advanced 4

• Drugs
• Soaps and detergents
• Food chemistry

Main 12 · Advanced 6

• Detection of functional groups
• Preparation of organic compounds

Main 56 · Advanced 26

• Number systems
• Logarithms
• Inequalities and modulus
• Polynomials and remainder theorem

Main 103 · Advanced 50

• Sets and operations
• Relations
• Types of functions
• Composition and inverse functions
• Domain and range
• Graphs of functions

Main 58 · Advanced 53

• Algebra of complex numbers
• Modulus and argument
• Polar and Euler form
• Roots of unity
• Geometry in the complex plane
• De Moivre's theorem

Main 83 · Advanced 38

• Roots and coefficients
• Nature of roots
• Location of roots
• Quadratic expressions
• Equations reducible to quadratic
• Theory of equations (higher degree)

Main 131 · Advanced 56

• Arithmetic progression
• Geometric progression
• Harmonic progression
• AM-GM-HM inequalities
• Special series sums
• Arithmetico-geometric series

Main 77 · Advanced 55

• Fundamental principle of counting
• Permutations
• Combinations
• Distribution and arrangements
• Derangements

Main 64 · Advanced 14

• Binomial expansion
• General and middle terms
• Properties of binomial coefficients

Main 110 · Advanced 74

• Matrix algebra
• Determinants and properties
• Adjoint and inverse
• Systems of linear equations
• Special matrices

Main 39 · Advanced 0

• Mathematical induction
• Mathematical reasoning

Main 138 · Advanced 93

• Trigonometric ratios and identities
• Trigonometric equations
• Inverse trigonometric functions
• Properties of triangles
• Heights and distances

Main 98 · Advanced 51

• Distance and section formulae
• Equations of a line
• Angle between lines
• Distance of a point from a line
• Family of lines and pair of lines
• Locus

Main 88 · Advanced 63

• Equation of a circle
• Tangents and normals
• Chord of contact
• Family of circles

Main 119 · Advanced 86

• Parabola
• Ellipse
• Hyperbola
• Tangents and normals to conics

Main 77 · Advanced 75

• Limits
• Continuity
• Differentiability
• L'Hospital's rule

Main 37 · Advanced 20

• Derivatives of standard functions
• Chain rule and implicit differentiation
• Parametric differentiation
• Higher-order derivatives

Main 101 · Advanced 90

• Rate of change
• Tangents and normals
• Monotonicity
• Maxima and minima
• Rolle's and mean value theorems

Main 48 · Advanced 28

• Standard integrals
• Substitution
• Integration by parts
• Partial fractions

Main 91 · Advanced 82

• Properties of definite integrals
• Fundamental theorem of calculus
• Leibniz rule
• Limit of a sum

Main 43 · Advanced 26

• Area under a curve
• Area between curves

Main 74 · Advanced 38

• Order and degree
• Variable separable
• Homogeneous equations
• Linear first-order equations
• Formation and applications

Main 74 · Advanced 59

• Vector operations
• Dot product
• Cross product
• Scalar and vector triple products

Main 99 · Advanced 44

• Direction cosines and ratios
• Equation of a line in space
• Equation of a plane
• Angles and distances
• Skew lines

Main 35 · Advanced 4

• Measures of central tendency
• Variance and standard deviation

Main 66 · Advanced 59

• Classical probability
• Conditional probability
• Bayes' theorem
• Independent events
• Random variables and distributions
• Binomial distribution

Main 0 · Advanced 0

• Linear programming problems