**Laws of Motion-1** |

Laws of Motion: First and Second law of Motion and Few examples of Variable mass system |

Definition of Newton, Third law of Motion, System and Surroundings, External and Internal Forces |

Reference Frames |

Earth Frame |

Non-inertial Frame of Reference |

Inertial Frame of Reference |

Free Body Diagram Introduction |

Free Body Diagrams in Mass pulley system |

Results from Kinematics |

Constraint Relationship |

String Constraint |

Problems on String Constraint |

Explanation of Newton's First Law and External Force |

**Kinematics** |

Rest and Motion, Reference Frame |

One, Two and Three Dimensional Motion |

Distance Vs Displacement Definition |

Definition of Average Speed |

Illustration of Average Speed |

Graphical Interpretation of Average Speed |

Illustration of Graphical interpretation of Average Speed |

Instantaneous Speed: A Limiting Case of Average Speed and Its Illustration |

Illustration of Graphical Interpretation of Instantaneous Speed |

Displacement Vs Time Graphs for 1 and 2 dimensional Motion |

Uniformly Accelerated Motion and Equations of Motion |

Conversion of Displacement Vs Time into Distance-Time Graph |

Elementary Problems |

Projectile Motion: Introduction |

Expression for Time of Flight, Maximum Height Attained and Horizontal Range of Projectile |

Role of Complementry Angles in Projectile Motion |

Equation for path of Projectile |

Projectile on the Inclined Plane:Expression for Time of Flight and Maximum Height Attained on inclined plane |

Expression for Range Attained on Inclined Plane |

Relations between Displacement - Velocity and Acceleration |

Past Year IIT Problems |

Introduction of Relative Motion |

Problems |

**Laws of Motion-2** |

Wedge Constraint |

Examples of String Constraint |

Past Year IIT Problems |

Problems |

**Circular Motion** |

Introduction: Circular Motion |

Uniform Circular Motion (Theory) |

Illustration of Uniform Circular Motion |

Examples of Uniform Circular Motion |

Non-Uniform Circular Motion |

Illustration of Non Uniform Circular Motion |

Conclusion of Non-Uniform Circular Motion |

Past Year IIT Problems |

Problems |

**Friction** |

Introduction: Frictional Forces |

Kinetic Friction and Static Friction |

Illustration of Kinetic Friction and Static friction |

Kinetic Friction Vs Static Friction |

Problems |

**Work Power and Energy** |

Work-Energy Theorem |

Mechanical Energy |

Definition of Work Done |

Potential Function |

Conservative-Force and Non-Conservative Force |

Conservative-Force Vs Non-Conservative Force |

Past Year IIT Problems |

Problems |

**System of Particles** |

Centre of Mass |

Illustration of Centre of Mass |

Collision Theory |

Problems |

**Rotational Motion** |

Introduction: Rotational Dynamics |

Illustration of Rotations |

Moment of Inertia |

Illustration of Moment of Inertia |

Parallel Axis Theorem |

Perpendicular Axis Theorem |

Torque |

Illustration of Torque |

Toppling |

Illustration of Toppling |

Problems based on Toppling |

Rigid Body |

Effect of Friction on Tension in mass pulley system |

Rotation about Fixed Axis |

Illustration of Rotation about Fixed Axis |

Rotation about Fixed Axis: Mass Pulley System |

Problems on Rotation about Fixed Axis |

Planar Rotational Motion |

Chastal Theorem |

Application of Chastal Theorem |

Illustration of Rolling without Slipping in mass pulley system |

Example of Rolling without Slipping |

Rolling with Slipping |

Illustration of Rolling with Slipping |

Example of Rolling with Slipping |

Problems on Rolling with Slipping |

Angular Momentum of a rigid body |

Illustration of Angular Momentum |

Problems |

**Gravitation** |

Universal Law of Gravitation |

Spherical Symmetric Distribution: Shell's Theorem |

Acceleration due to Gravity and its variation with Height and Depth |

Motions of Planets and Satellites in Circular Orbits |

Keplar's Laws of Planetary Motion |

Escape Velocity and Expression for It |

Gravitational Field and Gravitational Potential |

Physical Interpretation of Gravitational Potential |

Problems based on Gravitation Potential Energy |

Past Year IIT Questions |

**Fluid Mechanics** |

Introduction to Fluid Mechanics, Pressure |

Pascal's law |

Hydrostatic Pressure |

Application of Hydrostatic Pressure |

Problems Based on Application of Hydrostatic Pressure |

Up Thrust and Center of Buoyancy |

Equation of Continuity |

Bernoulli's Equation and its derivation |

Problems |

Toricelli's Theorem |

Applications of Bernoullis Equation |

Viscosity and Newton's Law of Viscosity |

Stokes Law and Expression for terminal velocity |

**Simple Harmonic Motion** |

Illustration of Simple Harmonic Motion |

Applications of SHM |

Problems Based on Application of SHM |

Angular SHM and Example, Difference b/w Linear SHM and Angular SHM |

Application of Angular SHM |

Expression for the time period of Simple Pendulum |

Physical Pendulum |

Problems |

**Heat and Thermodynamics** |

Introduction of Heat and Thermodynamics |

Internal Energy |

Problems Based on Internal Energy |

Work Done by Gas, Free Expansion of Gas |

Dependence of Internal Energy |

First Law of Thermodynamics |

Molar Specific Heat |

Example of Specific Heat |

Polytropic Process |

Problem Based on Specific Heat |

Equation for Adiabatic Process |

Isochoric Process |

Illustration of Isochoric Process |

Isobaric Process and its illustration |

Isothermal Process |

Adiabatic Graph |

Proof of Cp - Cv = R |

Summary of Thermodynamics |

Cyclic Process |

Illustration of Cyclic Process and Heat Engine |

Efficiency of Heat Engine and a problem based on it |

A Problem based on cyclic process |

Postulates of Kinetic Theory of Gases |

Illustration of Kinetic Theory of Gases |

Expressions for Kinetic Energy and Root Mean Square Velocity |

K.E. for Polyatomic and Monoatomic Gas |

Degree of Freedom |

Equipartition Theorem |

γ(Adiabatic Gas Exponent) = 1 + 2/f |

Maxwell - Boltzmann Distribution |

Radiations |

Emmisive and Absorptive Power of an Object, Kirchoff's Law |

Stefan's Law, Black Body |

Illustration of Radiation |

Summary of Radiation |

Wein's Displacement Law |

Heat Transfer by a Conduction |

Heat Transfer by a Conduction contd. |

Thermal Current and a problem |

Problems |

**Sound Waves** |

Introduction to Waves, Types of Waves |

Wave Theory |

Functional Form of Equation of Travelling Wave |

Wave Velocity and Particle Velocity |

Equation of a Sinusoidal Wave Travelling Along +X Direction |

Wavefront |

Phase Velocity and Its Illustration |

Average Power Transmitted along String by Sine Wave |

Principle of Superposition and Interference |

Constructive and Destructive Interference |

Power in Constructive and Destructive Interference |

Reflection of Waves |

Standing Wave, Nodes and Antinodes |

Frequencies in Standing Waves |

Illustration of Standing Wave |

Open Organ Pipe |

Closed (one end) Organ Pipe |

Formation of Beats and Beats Frequency |

Doppler's Effect |

Illustration of Doppler's Effect |

Example of Doppler's Effect |

Doppler Effect(Conclusion) |

Problems |

Equation of Spherical and Cylinderical Wave |

Pressure Waves |

**Bulk Matter** |

Surface Tension |

Illustration of Surface Tension and Surface Energy |

Relation b/w Surface Energy and Surface Tension |

Expression for Excess Pressure within a Bubble |

Angle of Contact, Cohesive and Adhesive Forces |

Example of Capillary |

Past Year IIT Problems |

Hooks Law and Young Modulus |

**Electrostatics-1** |

Coulomb's Law |

Principle of Super Position |

Application of Coulomb's Law and Principle of Super Position |

Concept of Point Charge |

Examples based on Coulomb's Law and Principle of Super Position |

Vector form of Coulombs Law |

A Problem Based on Coulomb's Law |

Dipole and Dipole Moment |

Illustration of Dipole Moment |

Flux |

Gauss' Law |

Illustration of Gauss' Law |

Proof of Coulomb's Law by Gauss' Law |

Applications of Gauss' Law |

Properties of Metallic Object |

Electric Potential |

Potential Difference |

Interaction Energy of System of Charges and Potential Energy |

Illustration of Interaction Energy |

Potential function |

Past Year IIT Problems |

The field of an electric dipole for points on the axis |

The field of an electric dipole for points on the equatorial plane |

**Electrostatics-2** |

Earthing and one example related to it |

Capacitors and Capacitance |

Types of Capacitors |

Spherical Capacitor |

Cylinderical Capacitor |

Equivalent Capacitance in Series Combination |

Example based on Capacitive Circuit |

Forces on the dielectric in the capacitors |

Charging of Capacitor in C-R Circuit |

Discharging of Capacitor in C-R Circuit |

**Current Electricity** |

Introduction to Current Electricity |

Drift Velocity, Current and Relationship b/w them |

Drift Velocity, Electric Field and Relationship b/w them |

Kirchoff's Law (KVL and KCL) |

Equivalent Resistance |

Some Important Points and a Problem |

Problems based on Kirchoff's laws |

Problems |

Heating Effect of Current, Joule's Law |

Illustration of Heating Effect of Current |

Past Year IIT Problems |

**Electromagnetism-1** |

Introduction to Electromagnetism |

Lorentz Force |

Illustration of Lorentz Force |

Force on a Current Carrying Conductor in a Uniform B Field |

Illustration of Force on a Current Carrying Conductor in a Uniform B Field |

Biot-Savart Law |

Illustration of Biot-Savart Law |

Problem based on Biot-Savart Law |

Amperes Circuital Law |

Application of Amperes Circuital Law: Solenoid |

Problem based on Amperes Circuital Law |

Illustration of Amperes Circuital Law |

Problems |

Ideal Galvanometer Vs Ideal Ammeter |

Conversion of Galvanometer into Ammeter |

Conversion of Galvanometer into Voltmeter |

**Electromagnetism-2** |

Electromagnetic Induction: Faraday's Law of EMI, Lenz's Law |

Motional E.M.F. |

Illustration of EMF |

Problems based on EMF |

Hall's Effects |

Time Varying Magnetic field |

Self induction |

Energy Stored in an Inductor |

L-C oscillation |

Growth of Current in the L-R Circuit |

Decay of Current in L-R Circuit |

Series and Parallel Combinations of Inductors |

Mutual Induction |

Representing A.C Signal Via Complex Number |

Phase of I and V |

Impedance of Capacitor |

Impedance of Inductor |

Series of LCR Circuits |

Problems |

**Optics-1** |

Prism: Angle of Prism, Relation b/w Refractive Index and Angle of Prism |

Expression for Angle of Dispersion |

Combination of Prisms and its Types |

Snell's Law , Critical Angle and Total Internal Reflection |

Past Year IIT Problems based on Total Internal Reflection |

Glass Slab |

Past Year IIT Problems |

Laws of Reflection |

Sign Convention |

Derivation of Lens Maker Formula |

Applying Lens Maker Formula |

Diverging and Converging Lenses |

Silvering of Lens |

Problem Based on Silvering of Lens |

Past Year IIT Problems |

Velocity of Image if Object is Moving |

Illustration of Velocity of Image- If Object is Moving |

Image Formation |

Problems on the Variable Index |

Lens with Differrent Media on Two Sides (Problems) |

Problems on the Snell's Law |

Multiple Spherical Surfaces Separated by Some Distances |

**Optics-2** |

Youngs Double Slit Experiment |

Location of maxima and Fringe Width in Youngs Double Slit Experiment |

Expression for the Fringe Width and a problem based on Youngs Double Slit Experiment |

Example Related to Youngs Double Slit Experiment |

Refraction through Spherical Surface |

Problems based on Refraction through Spherical Surface |

Refraction through Planar Surface |

Problems based on Refraction through Planar Surface |

Problems |

**Modern Physics** |

Potulates of Bohr's Theory |

Expression for Velocity and Radius of Hydrogen for nth orbit |

Expression for Energy of nth orbit for Hydrogen Atom |

Spectrum of Hydrogen Atom |

Expression for Wavelength and Series Spectrum of Hydrogen Atom |

Series Limit for Hydrogen Atom |

Effect of Mass of Nucleus on Velocity , Radius and Energy of an Atom |

de Broglie equation of wavelength and idea of Modern Physics |

Some important points and few Expressions |

X-Rays |

Continuous and Characteristic X-Rays |

Moseley's Law |

Introduction to Photoelectric Effect |

Threshold Frequency, Work Function and Kinetic Energy in Photo Electric Effect |

Dependence of Photo Current |

Some important Points related to Photo Electric Effect |

Past Year IIT Problems |

Radioactivity |

Decay Constant, Mass Defect , Binding Energy |

**Error Analysis** |

Introduction of Error Analysis |

Some examples based on Errors |