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CUSATCAT Mock Test

PHYSICS

Physics and Measurement

Units and dimensions

Error analysis

Significant figures

Instruments and measurement techniques

Kinematics

Frame of reference

Motion in a straight line

Motion in a plane

Uniform and non-uniform motion

Relative velocity

Laws of Motion

Newton's laws of motion

Force and inertia

Impulse and momentum

Law of conservation of linear momentum

Work, Energy and Power

Work done by a constant force and a variable force

Kinetic and potential energy

Power

Conservation of energy

Gravitation

Universal law of gravitation

Acceleration due to gravity

Gravitational potential energy

Kepler's laws

Properties of Solids and Liquids

Elasticity

Viscosity

Surface tension

Fluid dynamics

Oscillations and Waves

Simple harmonic motion

Damped and forced oscillations

Wave motion

Sound waves

Electrostatics

Coulomb's law

Electric field and potential

Capacitance

Electrostatic energy

Magnetic Effects of Current and Magnetism

Biot-Savart law

Ampere's law

Lorentz force

Magnetic properties of materials

Electromagnetic Induction and Alternating Currents

Faraday's laws of electromagnetic induction

Lenz's law

Self and mutual inductance

Alternating currents

Dual Nature of Matter and Radiation

Photoelectric effect

Matter waves

Heisenberg's uncertainty principle

Atoms and Nuclei

Alpha, beta, and gamma radiations

Laws of radioactive decay

Nuclear fission and fusion

Electronic Devices

Semiconductor electronics

Junction diodes

Transistors

Communication Systems

Propagation of electromagnetic waves

Satellite communication

Optical fibers

CHEMISTRY

Some Basic Concepts in Chemistry

Mole concept

Chemical stoichiometry

Law of conservation of mass

States of Matter

Gaseous state

Liquid state

Solid state

Atomic Structure

Bohr's model

Quantum mechanical model

Electronic configuration

Chemical Bonding and Molecular Structure

Types of bonds

VSEPR theory

Hybridization

Chemical Thermodynamics

First law of thermodynamics

Enthalpy

Entropy

Gibbs free energy

Solutions

Types of solutions

Colligative properties

Raoult's law

Chemical Kinetics

Rate of reaction

Order and molecularity

Activation energy

Hydrogen

Position of hydrogen in the periodic table

Isotopes of hydrogen

Hydrogen bonding

Block Elements (Alkali and Alkaline Earth Metals)

General characteristics

Reactivity

Compounds of alkali and alkaline earth metals

Co-ordination Compounds

Ligands

Werner's theory

Bonding in co-ordination compounds

Environmental Chemistry

Pollution

Green chemistry

Environmental impact

Some Basic Principles of Organic Chemistry

Hybridization

IUPAC nomenclature

Isomerism

Hydrocarbons

Alkanes

Alkenes

Alkynes

Aromatic hydrocarbons

Polymers

Types of polymers

Polymerization

Uses of polymers

Bio-Molecules

Carbohydrates

Proteins

Nucleic acids

Chemistry in everyday life

Drugs and their uses

Cleansing agents

Food additives

Gaseous and Liquid States

Ideal and real gases

Van der Waals equation

Surface tension

Extractive Metallurgy

General principles

Ores and minerals

Methods of extraction

Energetic

Energy changes in chemical reactions

Enthalpy

Bond energy

Electrochemistry

Electrolytes

Galvanic cells

Electrolysis

Chemical Equilibrium

Equilibrium constant

Le Chatelier's principle

Applications of equilibrium

Carbohydrates

Classification of carbohydrates

Monosaccharides

Disaccharides and polysaccharides

Atomic Structure and Chemical Bonding

Rutherford’s model

Bohr’s model

Quantum numbers

Chemical bonding

Amino Acids and Peptides

Structure of amino acids

Peptide bonds

Proteins

MATHEMATICS

Sets, Relations and Functions

Sets and their representation

Union, intersection, and complement of sets

Power set

Relation, Type of relations

Functions, one-one, onto functions

Complex Numbers and Quadratic Equations

Complex numbers as ordered pairs of reals

Representation in the form a + ib

Argand diagram

Quadratic equations in real and complex number system

Matrices and Determinants

Matrices, types of matrices

Determinants

Inverse of a matrix

Applications of matrices and determinants

Permutations and Combinations

Fundamental principle of counting

Permutations and combinations

Applications

Mathematical Induction

Principle of mathematical induction

Applications of mathematical induction

Sequences and Series

Arithmetic and geometric progressions

Harmonic progression

Sum of finite series

Infinite series

Limit, Continuity and Differentiability

Concept of limits

Continuity of functions

Derivatives

Applications of derivatives

Differential Equations

Ordinary differential equations

Solutions of differential equations

Applications

Three Dimensional Geometry

Coordinate geometry

Distance formula

Equations of a line and plane

Vector Algebra

Vectors and scalars

Vector addition and subtraction

Dot and cross product

Statistics and Probability

Measures of central tendency

Measures of dispersion

Probability theory

Bayes' theorem

Trigonometry

Trigonometric functions

Trigonometric identities

Inverse trigonometric functions

Mathematical Reasoning

Statements and logical operations

Truth tables

Logical equivalence

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