HELLO AKASH RANJAN!!

THE SYLLABUS FOR COMEDK UGET EXAM IS AS FOLLOWS :

PHYSICS :

Heat & Thermodynamics

Thermal Expansion of Solids

Liquids and Gases and their Specific Heats

Relationship between Cp and Cv for Gases

First Law of Thermodynamics

Thermodynamic Processes

Second Law of Thermodynamics

Carnot Cycle Efficiency of Heat Engines

Oscillation

Heating Effects of Current

Electric Power

Simple Concept of Thermo-Electricity

Seebeck Effect and Thermocouple

Chemical Effect of Current Faraday’s Laws of Electrolysis

Electrostatics

Electric Charge – its unit and conservation

Coulomb's Law

Dielectric Constant

Electric Field

Lines of Force

Field due to Dipole and its behavior in a uniform electric field.

Electric Flux

Gauss’s Theorem and its applications

Electric Potential, Potential due to a Point Charge.

Conductors and Inductors

Distribution of Charge on Conductors

Capacitance

Parallel Plate Capacitor

Combination of Capacitors

Energy of Capacitor

Thermal and Chemical effects of currents

Heating Effects of Current

Electric Power

Simple Concept of Thermo-Electricity

Seebeck Effect and Thermocouple

Chemical Effect of Current Faraday’s Laws of Electrolysis

Motion

Scalars and Vectors

Vector Addition

Real Number

Zero Vector and its Properties

Resolution of Vectors

Scalar and Vector Products

Uniform Circular Motion and its Applications

Projection Motion

Current & Electricity

Electromagnetic induction and alternating currents

Alternating Current

Description of motion in two and three dimensions

Physical world & measurement

Kinetic Energy

CHEMISTRY :

Environmental Chemistry

Environmental Pollutants: Soil, Air and Water

Major Atmospheric Pollutants: Acid Rain, Ozone and its Reactions causing Ozone Layer Depletion, Effects of the Depletion of Ozone Layer, Industrial Air Pollution.

Chemical reactions and Kinetics

Rate of Reaction

Instantaneous Rate of Reaction and Order of Reaction

Factors Affecting Rates of Reactions – Factors Affecting Rate of Collisions Encountered Between the Reactant Molecules, Effect of Temperature on the Reaction Rate, Concept of Activation Energy Catalyst.

Effect of Light of Rates of Reactions.

Elementary Reactions as Steps to more Complex Reactions.

How Fast are Chemical Reactions?

Rate Law Expression

Order of a Reaction

Units of Rates and Specific Rate Constant

Order of Reaction and Effect of Concentration

Temperature Dependence of Rate Constant

Fast Reactions

Mechanism of Reaction

Photochemical Reactions

Nuclear chemistry

Nature of Radiation from Radioactive Substances

Nuclear Reactions: Radioactive Disintegration Series

Artificial Transmutation of Elements

Nuclear Fission and Nuclear Fusion

Isotopes and their Applications

Radio Carbon Dating

Chemistry in action

Dyes

Chemical in Medicines (antipyretic, analgesic, antibiotics & tranquilizers)

Rocket Propellants (Structural Formulae Non - Evaluative)

Polymers

Synthetic and Natural Polymers Classification on Polymers

Natural and Synthetic Polymers

Important Uses of Teflon, PVC, Polystyrene, Nylon-66, Terylene, Bakelite

Coordination chemistry and organometallics

Coordination Compounds

Nomenclature: Isomerism in Coordination Compounds, Bonding in Coordination Compounds, Werner’s Coordination Theory

Applications of Coordination Compounds

Biomolecules

Cell and Energy Cycle Carbohydrates: Carbohydrates, Mono-saccharides, Saccharides, Poly-saccharides, Amino Acid

Peptides – Structure and Classification

Proteins and Enzymes – Structure of Proteins, Role of Enzymes.

Transition metals including lanthanides

Chemistry of representative elements

Chemistry of carbon compounds

Electrochemistry

Chemistry of biological processes

MATHEMATICS :

3D Geometry

Coordinates of a Point in Space

Distance Between Two Points

Section Formula

Direction Ratios and Direction Cosines

Angle between Two Intersecting Lines

Skew Lines – The Shortest Distance between them and its Equation.

Equations of a Line and a Plane in Different Forms: Intersection of a Line and a Plane, Coplanar Lines, Equation of a Sphere, Its Centre and Radius.

Diameter form of the Equation of a Sphere.

Vectors and three dimensional geometry

Vectors and Scalars

Addition of Vectors

Components of a Vector in Two Dimensions and Three Dimensional Space

Scalar and Vector Products

Scalar and Vector Triple Product

Application of Vectors to Plane Geometry

Circles

Standard Form of Equation of a Circle

General Form of Equation of a Circle, its radius and centre

Equation of a Circle when the End Points of a Diameter are Given.

Points of Intersection of a Line and a Circle with the Centre at the Origin and Conditions for a Line to be Tangent to the Circle

Equation of the Tangent

Equation of a Family of Circles through the Intersection of Two Circles

Condition for Two Intersecting Circles to be Orthogonal.

Differential calculus

Polynomials, Rational, Trigonometric, Logarithmic and Exponential Functions

Inverse Functions

Graphs of Simple Functions

Limits

Continuity: Differentiation of the Sum, Difference, Product and Quotient of Two Functions

Differentiation of Trigonometric, Inverse Trigonometric, Logarithmic, Exponential, Composite and Implicit Functions, Derivatives of Order Upto Two.

Applications of Derivatives: Rate of Change of Quantities, Monotonic Increasing and Decreasing Functions, Maxims and Minimum Functions of One Variable, Tangents and Normals, Rolle’s and Lagrange’s Mean Value Theorems.

Matrices and determinants

Determinants and Matrices of Order Two and Three

Properties of Determinants

Evaluation of Determinants

Area of Triangles Using Determinants

Addition and Multiplication of Matrices

Adjoint and Inverse of Matrix

Test of Consistency and Solution of Similar Linear Equations using Determinants and Matrices.

Probability

Probability of an Event

Addition and Multiplication Theorems of Probability and their Application

Conditional Probability: Bayes Theorem

Probability Distribution of a Random Variate

Binomial and Poisson Distributions and their Properties.

Differential equations

Differential Equations, Ordinary Differential Equation – Their Order and Degree

Formation of Differential Equations

Solution of Differential Equations by the Method of Separation of Variables.

Solution of Homogeneous and Linear Differential Equations and those of type d2y = f(x) dx2.

Integral calculus

Coordinate geometry

Exponential and logarithmic series

Definite integral

Correlation and regression

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