CG PET

Measurement

4 टॉपिक

• Units and dimensions
• Fundamental and derived units
• Dimensional analysis
• SI units

Kinematics

4 टॉपिक

• Linear motion in one and two dimensions
• Uniform velocity and uniform acceleration
• Relation between position and velocity
• Uniform circular motion

Force and Laws of Motion

5 टॉपिक

• Force and inertia
• Newton's laws of motion
• Conservation of momentum and energy
• Static and kinetic friction
• Uniform circular motion

Work, Energy and Power

6 टॉपिक

• Work done by force
• Energy and power
• Elastic collisions
• Potential energy
• Gravitational potential energy and conversion to kinetic energy
• Potential energy of a spring

Rotational Motion and Moment of Inertia

6 टॉपिक

• Rigid body rotation
• Couple and torque
• Angular momentum and its conservation
• Moment of inertia
• Parallel and perpendicular axis theorems
• Moment of inertia of a uniform ring, disc, thin rod and cylinder

Gravitation

5 टॉपिक

• Acceleration due to gravity and its variation
• Universal law of gravitation
• Motion of satellites
• Escape velocity
• Synchronous and polar satellites

Properties of Solids and Fluids

8 टॉपिक

• Elasticity and Hooke's law
• Young's, shear and bulk modulus
• Surface energy and surface tension
• Fluid and atmospheric pressure
• Viscosity of fluids
• Kinetic theory of gases
• Gas laws
• Kinetic energy and temperature

Heat and Thermodynamics

9 टॉपिक

• Heat and temperature
• Thermometers
• Specific heat at constant volume and constant pressure
• Mechanical equivalent of heat
• Isothermal and adiabatic processes
• Heat conduction in one dimension
• Convection and radiation
• Stefan's law and Newton's law of cooling
• Zeroth, first and second laws of thermodynamics

Oscillation

4 टॉपिक

• Periodic motion
• Simple harmonic motion
• Oscillations in a spring
• Laws of a simple pendulum

Waves

6 टॉपिक

• Transverse and longitudinal wave motion
• Speed of sound
• Principle of superposition
• Progressive and stationary waves
• Beats
• Doppler effect

Light

12 टॉपिक

• Wave nature of light
• Interference and Young's double-slit experiment
• Velocity of light and Doppler effect in light
• Reflection and refraction
• Total internal reflection
• Curved mirrors and lenses
• Mirror and lens formulae
• Dispersion in a prism
• Absorption and emission spectra
• Optical instruments
• The human eye and defects of vision
• Magnification and resolving power of telescope and microscope

Magnetism

6 टॉपिक

• Bar magnet and lines of force
• Torque on a bar magnet due to a magnetic field
• Earth's magnetic field
• Tangent galvanometer
• Vibration magnetometer
• Paramagnetic, diamagnetic and ferromagnetic substances

Electrostatics

10 टॉपिक

• Coulomb's law
• Dielectric constant
• Electric field and potential due to a point charge
• Electric dipole and dipole field
• Gauss's law in simple geometries
• Electrostatic potential
• Capacitance
• Parallel-plate and spherical capacitors
• Capacitors in series and parallel
• Energy of a capacitor

Current Electricity

8 टॉपिक

• Electric current
• Ohm's law
• Kirchhoff's laws
• Resistances in series and parallel
• Temperature dependence of resistance
• Wheatstone bridge
• Potentiometer
• Measurement of voltage and current

Effects of Electric Current

10 टॉपिक

• Magnetic, thermal and chemical effects of current
• Electric power and heating effect of current
• Laws of electrolysis
• Thermoelectricity
• Biot-Savart law
• Magnetic fields due to a straight wire, circular loop and solenoid
• Lorentz force
• Magnetic moment of a current loop
• Force between two currents
• Moving-coil galvanometer, ammeter and voltmeter

Electromagnetic Induction and Alternating Current

7 टॉपिक

• Magnetic flux
• Electromagnetic induction and induced emf
• Faraday's law and Lenz's law
• Self and mutual inductance
• Alternating current, impedance and reactance
• Growth and decay of current in an L-R circuit
• Elementary idea of a dynamo and transformer

Electron, Photon and Radioactivity

9 टॉपिक

• Charge and charge-to-mass ratio of an electron
• Photon and Einstein's photoelectric equation
• Photocells
• Bohr model and hydrogen spectrum
• Composition of nucleus, atomic masses and isotopes
• Radioactivity and radioactive-decay law
• Decay constant, half-life and mean life
• Mass-energy relation and fission
• X-ray properties and uses

Semiconductor

6 टॉपिक

• Conductors, semiconductors and insulators
• Intrinsic and extrinsic semiconductors
• Diode
• Transistor
• Oscillator
• Digital circuits and logic gates

Atomic Structure

6 टॉपिक

• Constitution of nucleus
• Bohr's atomic model
• Quantum numbers and Aufbau principle
• Electronic configuration of elements up to krypton
• De Broglie relation
• Shapes of orbitals

Chemical Bond

6 टॉपिक

• Electrovalent and covalent bonds
• Hybridisation
• Hydrogen bond
• Shapes of molecules and VSEPR theory
• Bond polarity and resonance
• Elements of valence bond theory

Solutions

5 टॉपिक

• Concentration of solutions
• Types of solutions
• Raoult's law and colligative properties
• Non-ideal solutions
• Abnormal molecular weights

Solid State

5 टॉपिक

• Crystal lattices and unit cells
• Structure of ionic compounds and close-packed structures
• Ionic radii
• Point defects
• Properties of solids

Nuclear Chemistry

7 टॉपिक

• Radioactive radiations and half-life
• Radioactive decay and group displacement law
• Structure and properties of nucleus
• Nuclear reactions and disintegration series
• Artificial transmutation
• Isotopes and their uses
• Radiocarbon dating

Chemical Equilibrium

3 टॉपिक

• Chemical equilibrium
• Law of mass action, Kp and Kc
• Le Chatelier's principle and applications

Ionic Equilibrium

5 टॉपिक

• Ionic equilibria in solutions
• Solubility product and common-ion effect
• Theories of acids and bases
• Hydrolysis of salts
• pH and buffers

Thermochemistry and Thermodynamics

6 टॉपिक

• Internal energy and enthalpy changes
• First law of thermodynamics
• Hess's law and heats of reactions
• Second law of thermodynamics and entropy
• Free energy and spontaneity
• Free energy and chemical equilibrium

Chemical Kinetics

5 टॉपिक

• Rate of reaction and factors affecting rate
• Rate constant and rate expression
• Order of reaction
• First-order rate equation and characteristics
• Arrhenius equation

Electrochemistry

8 टॉपिक

• Oxidation number and ion-electron methods
• Electrolytic conduction and Faraday's laws
• Voltaic cells and electrode potentials
• Electromotive force
• Gibbs energy and cell potential
• Nernst equation
• Commercial and fuel cells
• Electrochemical theory of corrosion

Surface Chemistry

4 टॉपिक

• Adsorption
• Types, preparation and properties of colloids
• Emulsions
• Catalysis types and characteristics

Principles of Metallurgical Operations

3 टॉपिक

• Furnaces
• Ore concentration, extraction and purification
• Metallurgy and properties of sodium, aluminium, iron, copper, silver, zinc and lead

Chemical Periodicity

6 टॉपिक

• s, p, d and f-block elements
• Periodic table and periodicity
• Atomic and ionic radii and valency
• Ionisation energy
• Electron affinity and electronegativity
• Metallic character

Comparative Study of Elements

6 टॉपिक

• Alkali metals
• Alkaline-earth metals
• Nitrogen family
• Oxygen family
• Halogens
• Noble gases

Transition Metals

4 टॉपिक

• Electronic configuration of 3d metal ions
• Oxidation states and general properties
• Potassium permanganate
• Potassium dichromate

Coordination Compounds

3 टॉपिक

• Simple nomenclature
• Bonding and stability
• Classification and bonding in organometallics

Chemical Analysis

2 टॉपिक

• Simple inorganic qualitative analysis
• Calculations based on acid-base titrimetry

Chemistry of Hydrocarbons

4 टॉपिक

• Empirical and molecular formulae of organic compounds
• Nomenclature and common functional groups
• Isomerism
• Structures and shapes of alkanes, alkenes and benzene

Hydrocarbons: Preparation, Properties and Uses

4 टॉपिक

• Preparation, properties and uses of alkanes, alkenes and alkynes
• Benzene
• Petroleum and cracking
• Octane number and gasoline additives

Organic Compounds Containing Nitrogen

3 टॉपिक

• Nomenclature and methods of preparation
• Chemical properties and structure-property correlations
• Nitro, amino, cyano and diazo compounds

Organic Compounds Containing Oxygen

3 टॉपिक

• Nomenclature and methods of preparation
• Chemical properties and structure-property correlations
• Ethers, aldehydes, ketones and carboxylic-acid derivatives

Chemistry in Daily Life

6 टॉपिक

• Classification, preparation, properties and uses of polymers
• Classification and structures of important dyes
• Introduction and classification of drugs
• Chemotherapy
• Antipyretics, antiseptics, antibiotics and anaesthetics
• Chemistry in food, cosmetics and detergents

Biomolecules

5 टॉपिक

• Classification, structures and biological importance of carbohydrates
• Amino acids and peptides
• Proteins and enzymes
• Nucleic acids
• Lipids

Algebra

13 टॉपिक

• Algebra and graphical representation of complex numbers
• Modulus, argument and square root of a complex number
• Triangle inequality and cube roots of unity
• Arithmetic, geometric and harmonic progressions and means
• Sums of squares and cubes of natural numbers
• Quadratic equations and relations between roots and coefficients
• Permutations and combinations
• Binomial theorem
• Exponential and logarithmic series
• Determinants up to third order
• Matrices, adjoint and inverse
• Partial fractions
• Simultaneous equations in up to three variables

Trigonometry

7 टॉपिक

• Trigonometric functions and graphs
• Addition, subtraction, multiple-angle and submultiple-angle formulae
• General solutions of trigonometric equations
• Relations between sides and angles of a triangle
• Solutions of triangles
• Inverse trigonometric functions
• Heights and distances

Coordinate Geometry of Two Dimensions

7 टॉपिक

• Rectangular Cartesian coordinates
• Straight lines and pair of straight lines
• Distance of a point from a line
• Angle between two lines
• Circle, tangents, normals and systems of circles
• Parabola, ellipse and hyperbola in standard forms
• Tangents and normals to conic sections

Coordinate Geometry of Three Dimensions

5 टॉपिक

• Rectangular coordinate system
• Direction cosines and direction ratios
• Equation of a plane in standard forms
• Perpendicular distance from a point
• Equation of a line and angle between two lines

Vector Algebra

5 टॉपिक

• Definition and addition of vectors
• Components in three-dimensional space
• Scalar and vector products
• Triple products
• Applications in geometry and mechanics

Differential Calculus

8 टॉपिक

• Polynomial, rational, trigonometric, logarithmic and exponential functions
• Inverse functions
• Limits, continuity and differentiability
• Differentiation of rational, trigonometric and exponential functions
• Applications of derivatives in mechanics
• Increasing and decreasing functions
• Maxima and minima of one-variable functions
• Rolle's theorem and mean value theorem

Integral Calculus

4 टॉपिक

• Integration as the inverse of differentiation
• Integration by parts, substitution and partial fractions
• Definite integrals
• Areas under simple curves

Differential Equations

3 टॉपिक

• Formation, order and degree of differential equations
• Solutions by separation of variables
• Homogeneous linear differential equations of first order

Statistics

4 टॉपिक

• Addition and multiplication laws of probability
• Conditional probability
• Binomial distribution
• Correlation and regression

Numerical Methods

4 टॉपिक

• Bisection method
• False-position method
• Newton-Raphson method
• Numerical integration by trapezoidal and Simpson's rules

Information Technology

6 टॉपिक

• Computer basics and operations
• Functional components and main parts of a computer
• Input, output and secondary-storage devices
• System software
• Utility software
• Application software