Vector and Scalar, Representation of Vectors, Need for Co-ordinate System, Distance & Displacement

Mathematics of Vectors, Triangle Law and Parallelogram Law

Addition More than Two Vectors, Subtraction of Vectors- Displacement vector

Elementary Maths

Unit Vectors, Special Unit Vectors, Resolution of Vectors

Addition & Subtract using Unit Vectors, 3 D Vectors, Product of Vectors

Chapter Notes – Basic Maths (1) : Vectors

Delta, Concept of Infinity, Time Instant Interval, Rate of Change, Position and Velocity

Fundamental Idea of Differentiation- Constant Multiplication Rule, Sum/Difference Rule

Trigonometric functions, Log function, Product Rule, Quotient Rule, Chain Rule

Integration- Formulas of Integration, Use of Integration

Meaning of Dimension; Position; Distance & Displacement

Average Speed & Velocity; Instantaneous Speed & Velocity

Photo Diagram; Acceleration- Direction of acceleration, Conceptual Examples

Constant Acceleration; Equations of constant acceleration

Average Velocity Examples and Concepts; Reaction Time

Free Fall under Gravity

Variable Acceleration; Derivation of Constant Acceleration Equations

Chapter Notes – Motion (1) : Straight Line Motion

NCERT Solutions – Straight Line Motion

Revision Notes Straight Line Motion

Tangent & Chord; Slope of Line- Chord & Tangent; Meaning of x/t graph, v/t graph, a/t graph

Graph Conversion

Area Under Curve

Projectile on Level Ground

Terms Related to Projectile on Level Ground

Not Level to Level Projectile, Problem Solving, Dot Product

Equation of Trajectory and Some Miscellaneous Questions

Projectile on Inclined Plane

Collision of Projectile and Avg. Acceleration in 2D Motion

Reference Frame and Distance of Closest Approach

Relative Motion in 2D

Free Fall & Relative Motion

Throwing Object from Moving Body

Rain Problem (theory)- and Wind in Rain Problem

River Based Problem

Crossing River by Shortest Distance- Least Time to Cross River; Wind Problems; Relative Approach

Force and Newton’s Laws

Normal Reaction, Free Body Diagram(F.B.D), Normal on circular bodies, Mass and Weight

Tension Force(Ideal Pulley, Clamp Force), Internal & External Force, Heavy Rope

Spring Force(Sudden Change, Series and Parallel Cutting of Spring)

Inertia and Non-Inertial Frames(Pseudo Force), Action-Reactin Pair, Monkey Problem

Chapter Notes – Newton’s Laws of Motion

NCERT Solutions – Laws of Motion

Revision Notes Laws of Motion

Force of mass-less body; Constrain Motion- Pulley Constrain 1

Pulley constrain 2, Alternate Method; Wedge Constrain- Proof

Relative Constrain

Kinetic friction Theory- Theory, Angle of friction

Static Friction Theory- Based on Example 2, Direction of friction Theory

Some Advanced Examples

Block Over Block Theory

Conveyor belt, Static and kinetic co-eff. of friction, Friction on wheels, Theoretical examples

Chapter Notes – Friction

Ex. on Average Acc. and Angular Variables Theory and Ref. Frame

Uniform Circular Motion and Centripetal Force

Non-Uniform Center of Mass – Theory by Ex 2; Friction

Centrifugal Force and Banking of Roads

Radius of Curvature- Radius of Curvature; Axial Vector; Well of Death

Chapter Notes – Circular Motion

Work & its calculation and Work-done on curved path

Work-done by Different Forces

Work Energy Theorem and W.E. th in Non-inertial frame, W.E. th and Time

Work Energy Theorem for System

Energy and Different Forms of Energy-and Energy of Chain; Potential Energy & Reference Frame

Potential Energy Curve and Power

Normal Reaction, Vertical Circular Motion, Motion in Co-Concentric Spheres

Motion on Outer Surface of Sphere, Motion on Inner Surface of Fixed Sphere

Motion on Rope, Motion on Rod

Chapter Notes – Work Energy Power

NCERT Solutions – Work Energy Power

Revision Notes Work Energy Power

VCM – 1

VCM – 2

VCM – 3

Introduction and Conservation of Momentum

Impulsive Force – Characteristics of Impulsive Force

Momentum Conservation in Presence of External Force – Two Steps Problems

Questions Involving Momentum & Work Energy Theorem

Collision – Head – on Collision and Special Cases of Head – on Collision

Oblique Collision

Collision of Ball with Flat Surface

Impulse and Average Force

Advanced Questions

Center of Mass (CM) Frame and Kinetic Energy in C – Frame

Finding Center of Mass by Replacement Method and Finding CM of Plate with Hole

Finding CM by Integration and CM of Some Standard Objects

Motion of CM; Newton’s 2nd Law for CM; CM in Circular Motion

Revision Notes Center of Mass

Rigid Body – Motion of Rigid Body; Axis of Rotation

Vector Product/ Cross Product; Torque

Couple and Principle of Moments

Pseudo Force and Toppling – Overturning of Car

Moment of Inertia

Parallel Axis Theorem; Perpendicular Axis Theorem; Quantitative Analysis; Radius of Gyra

Analogy b/w Transnational & Rotational Motion; Relation b/w Linear and Angular Velocity; Dynamics of Rotation

Angular Momentum

Angular Momentum of a Particle

Rotational Collision

Kinetic Energy, Work, Power; Potential Energy; Linear & Angular Acceleration; Hinge Force; Angular Impulse

Chapter Notes – Rotational Motion and Rolling Motion

NCERT Solutions – Rotational Motion

Revision Notes Rotational Motion

Introduction to Rolling Motion

Rolling Motion on Spool

Friction

Direction of Friction

Rolling on Moving Platform and Motion of Touching Spheres

Rope Based Questions

Work-done by Friction in Rolling Motion, Kinetic Energy in Transnational + Rotational Motion

Angular Momentum in Rotation + Translation

Angular Collision

Instantaneous Axis of Rotation

De-Lambart’s Theorem

Gravitation force, Universal Law of Gravitation, Gravitational Force due to Hollow Sphere and Solid Sphere

Acceleration due to Gravity and Rotation of Earth

Potential Energy, Questions and Solutions

Satellites, Circular Motion, Geostationary Satellites and Polar Satellites

Polar Satellites, Weightlessness in Satellites, Trajectories and Kepler’s Laws

Chapter Notes – Gravitation

NCERT Solutions – Gravitation

Revision Notes Gravitation

Oscillatory Motion – Horizontal Spring Block System, Qualitative Analysis of Horizontal Spring System

Quantitative Analysis of Horizontal Spring System; Frequency and Angular Frequency; Velocity and Acceleration; Mechanical Energy

Relating Uniform Circular Motion and SHM and Phasor Diagram

Equation of SHM and Problem Solving using Phasor Diagram

Questions

More Oscillating Systems – Vertical Spring Block System

Angular Oscillations – Simple Pendulum

Compound / Physical Pendulum, Torsional Pendulum, Equilibrium of Angular SHM; Differentiation by Chain Rule

Energy Method to find Time Period

Finding Amplitude of SHM

Block Over Block and Elastic Rope

Superposition of Horizontal SHMs and Perpendicular

Damped Oscillations

Wave, Plotting and Shifting of Curves, Meaning of y/t and y/x Graph, Wave is an Illusion!, 1D Wave on String

Wave Equation, Analysis of Wave Equation and Wave Velocity

Sinusoidal Wave (Harmonic Wave), Wave Equation for Sinusoidal Wave, Particle Velocity, Slope of Rope, Wave Velocity

Superposition of Waves

Reflection of Waves

Standing Waves

Tuning Fork, Sonometer and Equation of Standing Waves

Energy in Waves

Chapter Notes – Waves

NCERT Solutions – Waves

Revision Notes Waves

Waves, Propagation of Sound Wave and Wave Equation

Sound as a Pressure Wave

Speed of Sound, Laplace Correction and Intensity of Sound Waves

Spherical and Cylindrical Sound Waves

Addition of Sin Functions, Interference of Sound Waves of Same Frequency, Interference of Coherent Sources

Quinke’s Apparatus

Interference of Sound Waves of Slightly Different Frequencies (Beats)

Reflection of Sound Waves, Standing Waves, End Correction

Standing Waves in Terms of Pressure, Standing Waves on Rods, Kund’s Tube, Resonance Tube Experiment

Doppler Effect, Reflection from Wall, Doppler Effect in 2 Dimension

Rigid body,Strain, Stress,Hook’s Law

Breaking Stress

Shear Stress and Strain, Bulk Modulus, Elasticity and Plasticity, Stress-Strain Curve, Young’s Modulus

Chapter Notes – Mechanical Properties of Solids

NCERT Solutions – Mechanical Properties of Solids

Revision Notes Mechanical Properties of Solids

Linear Expansion; Second’s Pendulum; Bimetallic Strip; Expansion of Hole; Thermal Stress

Areal/Superficial Expansion; Volume Expansion; Thermal Expansion of Liquid; Measurement of Temperature; Anomal

Arial/Superficial Expansion; Volume Expansion; Thermal Expansion of Liquid; Measurement of Temperature

Chapter Notes – Thermal Expansion

NCERT Solutions – Thermal Expansion

Internal Energy; Heat Energy; Thermal Equilibrium; Zeroth Law of Thermodynamics; Specific Heat Capacity; Latent Heat

Mixing of Substances; Water Equivalent; Units; Calorimeter; Melting Point and Boiling Point; Sublimation

Conduction; Comparison between Charge Flow & Heat Flow

Equivalent Thermal Conductivity; Heat Transfer and Calorimetry; Use of Integration; Length Variation

Convection; Radiation, Black Body, Prevost Theory, Emissive Power & Emissivity, Kirchoff’s Law, Stefan – Boltzman Law

Newton’s Law of Cooling, Cooling Curve; Wien’s Displacement Law; Thermo Flask

Chapter Notes – Heat Transfer

Revision Notes Heat Transfer

Model of Gas,Postulates of Kinetic Theory of Gases, Ideal Gas, Mean free Path, Maxwell’s speed Distribution

Volume, Pressure of Gases, Kinetic Energy, Temperature, Ideal Gas Equation

Gas Laws, Internal energy of Gas, Degree of Freedom, Degree of Freedom of Mono-atomic and Diatomic Gas

Chapter Notes – Kinetic Theory of Gases

NCERT Solutions – Kinetic Theory of Gases

Revision Notes Kinetic Theory of Gases

State Equation; Thermodynamic Process; Process Equation & Graph; Work done by Gas

Heat – Work Equivalence; 1st Law of Thermodynamics; Adiabatic Process

Workdone in Adiabatic Process; Specific Molar Heat Capacity

Poly-tropic Process, Bulk Modulus; Free Expansion; Mixture of Gases

Heat Engine, Refrigerator or Heat Pump, Energy Conservation, Kelvin-Plank Statement, Clausius Statement

Carnot Cycle, Reversible and Irreversible Process, Specific Heat Capacity of Solids and Water

Chapter Notes – Thermodynamics

NCERT Solutions – Thermodynamics

Revision Notes Thermodynamics

Introduction, Pressure of Liquid

Manometer, Barometer

Pascal Law, Hydraulic Lift

Accelerated Liquid, Vertical and Horizontal Acceleration, Pressure Variation in Horizontally Accelerated Liquid

Rotating Liquid, Rotating Liquid in U-Tube

Archimedes’ Principle, Hollow Objects

Apparent Weight, Variation of Liquid Force with Height

Multiple Liquids

Center of Bouyancy

Fluid Dynamics, Equation of Continuity

Magnus Effect

Venturimeter, Pitot Tube

Questions and Solutions

Chapter Notes – Fluids

Surface Tension, Surface Energy

Force of Cohesion, Force of Adhesion, Angle of Contact, Radius of Meniscus, Capillary Rise

Pressure Difference Across Meniscus, Variation of Surface tension with Temperature

Viscous Force

Terminal Velocity, Velocity Gradient, Renolds Number, Turbulent Flow, Streamline Flow

Chapter Notes – Surface Tension and Viscosity