Topics
Vectors
- Vector Analysis
- Vector Operations>Multiplication of a Vector by a Scalar
- Vector Operations>Addition and Subtraction of Vectors
- Vector Operations>Triangle Law for Vector Addition
- Vector Operations>Law of parallelogram of vectors
- Resolution of Vectors
- Multiplication of Vectors
- Scalar Product(Dot Product)
- Vector Product (Cross Product)
- Characteristics of Vector Product
- Concept of Calculus
- Differential Calculus
- Integral Calculus
Rotational Dynamics
- Rotational Dynamics
- Circular Motion and Its Characteristics
- Applications of Uniform Circular Motion
- Vertical Circular Motion
- Moment of Inertia as an Analogous Quantity for Mass
- Radius of Gyration
- Theorems of Perpendicular and Parallel Axes
- Angular Momentum or Moment of Linear Momentum
- Expression for Torque in Terms of Moment of Inertia
- Conservation of Angular Momentum
- Rolling Motion
- Formulae of Rotational Dynamics
11th Std
Error Analysis
12th Std
Mechanical Properties of Fluids
- Fluid and Its Properties
- Pressure of liquid
- Pascal’s Law
- Pressure Measurement
- Surface Tension
- Fluids in Motion
- Critical Velocity and Reynolds Number
- Stokes’ Law
- Continuous and Discontinuous Functions
- Bernoulli's Equation
- Formulae of Mechanical Properties of Fluids
Kinetic Theory of Gases and Radiation
- Gases and Its Characteristics
- Classification of Gases: Real Gases and Ideal Gases
- Mean Free Path
- Pressure of Ideal Gas
- Root Mean Square (RMS) Speed
- Interpretation of Temperature in Kinetic Theory
- Law of Equipartition of Energy
- Specific Heat Capacity
- Absorption, Reflection, and Transmission of Heat Radiation
- Perfect Blackbody
- Emission of Heat Radiation
- Kirchhoff’s Law of Heat Radiation and Its Theoretical Proof
- Stefan-boltzmann Law of Radiation
- Wien's Displacement Law
- Formulae Kinetic Theory of Gases and Radiation
Motion in a Plane
- Introduction of Motion in a Plane
- Rectilinear Motion
- Displacement
- Path Length
- Average Velocity
- Average Speed
- Instantaneous Velocity
- Instantaneous Speed
- Position-time, Velocity-time and Acceleration-time Graphs
- Acceleration in Linear Motion
- Relative Velocity
- Motion in Two Dimensions - Motion in a Plane
- Average and Instantaneous Velocities
- Acceleration in a Plane
- Equations of Motion in a Plane with Constant Acceleration
- Relative Velocity in Two Dimensions
- Projectile Motion
- Uniform Circular Motion (UCM)
- Key Parameters of Circular Motion
- Centripetal Acceleration
- Conical Pendulum
Laws of Motion
- Introduction to Laws of Motion
- Aristotle’s Fallacy
- Newton’s Laws of Motion
- Inertial and Non-inertial Frames of Reference
- Types of Forces>Fundamental Forces in Nature
- Types of Forces>Contact and Non-Contact Forces
- Types of Forces>Real and Pseudo Forces
- Types of Forces>Conservative and Non-Conservative Forces
- Work Energy Theorem
- Principle of Conservation of Linear Momentum
- Collisions
- Impulse of a Force
- Rotational Analogue of a Force: Moment of a Force Or Torque
- Couple and Its Torque
- Mechanical Equilibrium
- Centre of Mass>Mathematical Understanding of Centre of Mass
- Centre of Gravity
- Formulae of Laws of Motion
Thermodynamics
- Thermodynamics
- Thermal Equilibrium
- Zeroth Law of Thermodynamics
- Heat, Internal Energy and Work
- First Law of Thermodynamics
- Thermodynamic State Variables and Equation of State
- Thermodynamic Process
- Heat Engine
- Refrigerators and Heat Pumps
- Second Law of Thermodynamics
- Carnot Cycle and Carnot Engine
- Sterling Cycle
- Formulae of Thermodynamics
Gravitation
- Concept of Gravitation
- Kepler’s Laws
- Newton's Universal Law of Gravitation
- Acceleration Due to Gravity (Earth’s Gravitational Acceleration)
- Variation in the Acceleration>Variation in Gravity with Altitude
- Variation in the Acceleration>Variation in Gravity with Depth
- Variation in the Acceleration>Variation in Gravity with Latitude and Rotation of the Earth
- Variation in the Acceleration>Effect of the shape of the Earth
- Gravitational Potential Energy
- Earth Satellites
- Escape Velocity
- Critical Velocity
- Projection of Satellite
- Energy Associated with Satellite
- Formulae of Gravitation
Oscillations
- Oscillations
- Explanation of Periodic Motion
- Linear Simple Harmonic Motion (S.H.M.)
- Differential Equation of Linear S.H.M.
- Acceleration (a), Velocity (v) and Displacement (x) of S.H.M.
- Amplitude (A), Period (T) and Frequency (N) of S.H.M.
- Reference Circle Method
- Phase in S.H.M.
- Graphical Representation of S.H.M.
- Composition of Two S.H.M.’S Having Same Period and Along Same Line
- The Energy of a Particle Performing S.H.M.
- Simple Pendulum
- Angular S.H.M. and It's Differential Equation
- Damped Oscillations
- Free Oscillations, Forced Oscillations and Resonance Oscillations
- Formulae of Oscillations
Superposition of Waves
- Introduction to Superposition of Waves
- Progressive Waves
- Reflection of Waves
- Superposition of Waves
- Stationary Waves
- Free and Forced Vibrations
- Harmonics and Overtones
- Sonometer
- Beats
- Characteristics of Sound
- Musical Instruments
- Formulae of Superposition of Waves
Thermal Properties of Matter
Sound
- Sound Waves
- Types of Waves
- Common Properties of All Waves
- Transverse Waves
- Longitudinal Waves
- Mathematical Expression of a Wave
- The Speed of Travelling Waves
- Principle of Superposition of Waves
- Echo, Reverberation and Acoustics
- Qualities of Sound
- Doppler Effect
- Formulae of Sound
Wave Optics
- Introduction of Wave Optics
- Nature of Light
- Light as a Wave
- Huygens’ Theory
- Reflection of Light at a Plane Surface
- Refraction of Light at a Plane Boundary Between Two Media
- Polarization
- Interference
- Diffraction of Light
- Rayleigh’s Criterion
- Resolving Power
- Formulae of Wave Optics
Electrostatics
- Concept of Electrostatics
- Application of Gauss' Law
- Electric Potential and Potential Difference
- Electric Potential Due to a Point Charge
- Electric Field due to an Electric Dipole
- Electric Field Due to a System of Charges
- Equipotential Surfaces
- Electrical Energy of Two Point Charges and of a Dipole in an Electrostatic Field
- Conductors and Insulators
- Free Charges and Bound Charges Inside a Conductor
- Dielectrics
- Electric Polarisation of Matter
- Capacitors and Capacitance
- Combination of Capacitors
- Capacitance of a Parallel Plate Capacitor with and Without Dielectric Medium Between the Plates
- Displacement Current
- Energy Stored in a Charged Capacitor
- Van De Graaff Generator
- Formulae of Electrostatics
Optics
- Fundamental Concepts of Light
- Nature of Light
- Ray Optics Or Geometrical Optics
- Cartesian Sign Convention
- Reflection of Light
- Refraction of Light
- Total Internal Reflection
- Refraction at a Spherical Surface and Lenses
- Dispersion of Light
- Some Natural Phenomena Due to Sunlight
- Defects of Lenses
- Optical Instruments
- Formulae of Optics
Current Electricity
- Current Electricity
- Kirchhoff’s Laws of Electrical Network
- Wheatstone Bridge
- Potentiometer
- Galvanometer
- Formulae of Current Electricity
Electrostatics
- Concept of Electrostatics
- Electric Charge
- Basic Properties of Electric Charge
- Coulomb’s Law
- Principle of Superposition
- Electric Field
- Electric Lines of Force
- Electric Flux
- Gauss’s Law
- Electric Dipole
- Continuous Charge Distribution
- Formulae of Electrostatics
Magnetic Fields Due to Electric Current
- Magnetic Fields Due to Electric Current
- Magnetic force
- Cyclotron
- Helical Motion
- Magnetic Force on a Wire Carrying a Current
- Force on a Closed Circuit in a Magnetic Field
- Torque on a Current-Loop in a Uniform Magnetic Field
- Magnetic Dipole Moment
- Magnetic Potential Energy of a Dipole
- Biot-Savart Law
- Force of Attraction Between Two Long Parallel Wires
- Magnetic Field Produced by a Current in a Circular Arc of a Wire
- Applications of Biot-Savart's Law > Magnetic Field on the Axis of a Circular Current-Carrying Loop
- Magnetic Lines for a Current Loop
- Ampere's Law
- Applications of Ampere’s Circuital Law > Magnetic Field of a Toroidal Solenoid
- Formulae of Magnetic Fields due to Electric Current
Semiconductors
- Concept of Semiconductors
- Electrical Conduction in Solids
- Band Theory of Solids
- Intrinsic Semiconductor
- Extrinsic Semiconductor
- p-n Junction
- Basics of Semiconductor Devices
- Applications of Semiconductors and P-n Junction Diode
- Advantages and Disadvantages of Semiconductor Devices
- Thermistor
- Formulae of Semiconductors
Electric Current Through Conductors
- A combination of resistors in both series and parallel
- Potential Difference and Emf of a Cell
- Cells, Emf, Internal Resistance
Magnetic Materials
- Magnetic Materials
- Torque Acting on a Magnetic Dipole in a Uniform Magnetic Field
- Origin of Magnetism in Materials
- Magnetisation and Magnetic Intensity
- Magnetic Properties of Materials
- Hysteresis: Retentivity and Coercivity
- Permanent Magnet
- Magnetic Shielding
- Formulae of Magnetic Materials
Electromagnetic Waves and Communication System
Electromagnetic Induction
- Electromagnetic Induction
- Faraday's Laws of Electromagnetic Induction
- Lenz's Law
- Flux of the Field
- Motional Electromotive Force (e.m.f.)
- Induced Emf in a Stationary Coil in a Changing Magnetic Field
- Generators
- Back Emf and Back Torque
- Induction and Energy Transfer
- Eddy Currents or Foucault Currents
- Self Inductance
- Energy Stored in a Magnetic Field
- Energy Density of a Magnetic Field
- Mutual Inductance
- Transformers
- Formulae of Electromagnetic Induction
AC Circuits
- AC Circuits
- A.C. Generator
- Average and RMS Values
- Phasors
- Types of AC Circuits
- Power in AC Circuit
- LC Oscillations
- Electric Resonance
- Sharpness of Resonance: Q Factor
- Choke Coil
- Formulae of AC Circuits
Measurements
- Measurements
- Physical Quantities
- Unit and Its Types
- Unit Systems
- The International System of Units (SI)
- Rules and Conventions for Writing SI Units and Their Symbols
- Measurement of Length
- Measuring Smaller Distances
- Measuring Larger Distances
- Devices for Measuring Length
- Measurement of Mass
- Measurement of Time
- Dimensions and Dimensional Analysis
- Accuracy, Precision and Uncertainty in Measurement
- Errors in Measurements>Systematic Errors
- Estimation of Errors
- Combination of Errors
- Significant Figures
Dual Nature of Radiation and Matter
- Dual Nature of Radiation and Matter
- Wave-particle Duality of Electromagnetic Radiation
- Particle Nature of Electromagnetic Radiation: Planck's Quantum Theory of Radiation
- The Photoelectric Effect
- Photo Cell
- Wave-particle Duality of Matter
- De Broglie Hypothesis
- Davisson and Germer Experiment
- Formulae of Dual Nature of Radiation and Matter
Scalars and Vectors
Structure of Atoms and Nuclei
- Structure of the Atom and Nucleus
- Dalton's Atomic Theory
- Thomson’s Atomic Model
- Bohr’s Atomic Model
- Lord Rutherford’s Atomic model
- Hydrogen Spectrum
- Atomic Spectra
- Atomic Nucleus
- Nuclear Binding Energy
- Radioactive Decays
- Law of Radioactive Decay
- Forms of Energy > Nuclear Energy
- Nuclear Fission
- Nuclear Fusion
- Radioactivity
- Formulae of Structure of Atoms and Nuclei
Friction in Solids and Liquids
Semiconductor Devices
- Basics of Semiconductor Devices
- p-n Junction Diode as a Rectifier
- Special Purpose Junction Diodes
- Bipolar Junction Transistor (BJT)
- Basics of Logic Gates
- Formulae of Semiconductor Devices
Magnetic Effect of Electric Current
- Flow of Charges (Electrons) Between Conductor
- Drift Speed
- Limitations of Ohm’s Law
- Forms of Energy > Electrical Energy
- Concept of Power
- Resistors
- Specific Resistance
- Variation of Resistance with Temperature
- Electro-Motive Force of a Cell
- Cells in Series
Magnetism
- Concept of Magnetism
- Magnetic Lines of Force
- The Bar Magnet
- Gauss' Law of Magnetism
- The Earth’s Magnetism
Estimated time: 1 minutes
Maharashtra State Board: Class 11
Key Points: Introduction of Motion in a Plane
- Motion is a change in the position of an object with time.
- One-dimensional motion Motion along a straight line i.e., rectilinear motion.
- Two-dimensional motion Motion in two dimensions i.e., motion in a plane.
- Three-dimensional motion Motion in three dimensions i.e., motion in a space.
