Grade 12 IIT JEE

Duration

1 Year

Session

650

Course Description

The Grade 12 JEE course for Physics, Chemistry, and Mathematics (PCM) is structured to deliver a comprehensive and rigorous preparation for one of the toughest engineering entrance exams. The curriculum systematically advances through the critical concepts in all three subjects, blending theoretical understanding with advanced problem-solving techniques. It is designed to strengthen conceptual clarity, sharpen analytical skills, and enhance application-oriented learning to meet the challenges of JEE Main and Advanced.

Learning Objective

The course aims to equip students with a thorough grasp of core principles across Physics, Chemistry, and Mathematics. Students will develop strong problem-solving strategies, improve speed and accuracy, and learn to handle complex multi-concept questions. Focus will be on building analytical thinking, logical reasoning, and the ability to apply fundamental concepts to novel situations, all essential for excelling in JEE and other competitive exams.

What Will I Learn?

Students will explore advanced topics in Physics such as electrostatics, current electricity, magnetism, optics, dual nature of matter, atoms, nuclei, and semiconductors. Chemistry will cover the structure of solids, chemical kinetics, electrochemistry, surface chemistry, p-block and d-block elements, coordination compounds, organic reactions, and biomolecules. In Mathematics, students will master calculus including limits, continuity, differentiability, and integrals, differential equations, matrices, determinants, probability, vectors, and three-dimensional geometry. The course is designed to build confidence through systematic practice, comprehensive concept coverage, and exposure to JEE-level problem-solving.

Additional Info

Practice

Regular exercises and interactive activities to reinforce key concepts in each subject.

Doubt-Solving

Dedicated sessions to address and clarify any questions or difficulties students encounter.

Reports

Detailed reports on experiments and projects to track progress and understanding.

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Physics
Chemistry
Mathematics

Electrostatics

Electric charge and its Properties
Charging of a body Coulomb's Law
Vector form of Coulomb's Law
Principle of Superposition
Electrostatic Equilibrium
Introduction to Electric field
Electric field intensity
Electric field due to a point charge
Electric field due to uniformly charged Arc
Electric field due to uniformly charged Ring on its axis
Electric field due to uniformly charged wire
Electric field due to uniformly charged infinite non-conducting sheet
Electric field due to disc
Electric field due to uniformly charged thin spherical shell
Electric field due to a Uniformly charged non–conducting sphere
Electrostatic Potential and its properties
Potential due to point charge
Electric potential due to system of charges
Potential due to ring
Potential due to uniformly charged disc
Potential Due To Uniformly Charged Spherical shell
Potential Due To Uniformly Charged Solid Sphere
Potential Difference
Potential difference due to infinitely long wire
Potential difference due to infinitely long thin sheet
Equipotential surfaces
Electrical potential energy
Electrostatic Potential Energy of a System of Charges
Relation between Electric Field Intensity and Electric Potential
Electric Dipole
Electric field due to a dipole at equatorial, axial position and at General point
Electric potential due to a dipole at equatorial, axial position and at General point
Dipole in uniform electric field
Force on dipole in Non-uniform electric field
Electric lines of Force
Solid Angle
Electric Flux
Gauss' Theorem and its application
Conductors and their properties
Electrostatic pressure on the surface of conductor
Electrostatic Shielding
Sharing of charge
Electric field due to conducting and non-conducting uniformly charged infinite sheets
Van de graff generator

Current Electricity

Introduction of Current Electricity and Electric Current
Conductors
Insulator
Semiconductors
Current Density
Drift Velocity
Relation between I and V
Ohm's Law
Resistance and factors affecting it
Resistivity and factors affecting it
Conductivity
Temperature dependence of Resistivity and Resistance
Combination of Resistors
Electric Power
Cell
Electromotive Force (EMF)
Relative Potential
Kirchhoff's Laws
Wheatstone Bridge (4 Terminal network)
Unbalanced Wheatstone bridge (Star Delta Conversions)
Series combination of cells
Parallel combinations of cells
Mixed combinations of cells
Galvanometer
Ammeter
Voltmeter
Current Sensitivity
Potentiometer
Metre Bridge
Colour coding of Resistance

Capacitor

Introduction of Capacitor
Capacitance of an isolated conductor
Potential energy of an Isolated Conductor
Capacitance of an isolated spherical conductor
Sharing of Charges on joining two conductors
Capacitor
Parallel Plate Capacitor
Capacitors with Dielectric
Circuit solution for R-C Circuit
Distribution of charges on connecting two charged capacitors
Combination of Capacitors (Series, Parallel and Mixed combination)
Charging of a Capacitor
Discharging of a Capacitor
Combination of Parallel Plates (Concept of Multi Capacitor)
Spherical Capacitors
Cylindrical Capacitor

Magnetic Effects of Current and Moving Charge

Oersted’s experiment and observation
Frame dependence of B
Biot-Savart's law and its vector form
B due to a point charge
Magnetic field due to straight wire
Magnetic field due to circular loop
Magnetic field on the axis of circular loop
Solenoid
Application of Ampere's Law (Hollow current carrying long cylinder)
Application of Ampere's Law (Solid current carrying long cylinder)
Application of Ampere's Law (Toroid)
Magnetic Moment of Current Carrying Coil (Loop)
Current and Magnetic field due to Circular motion of a Charge
Magnetic Force on moving charges
Motion of Charged particles under the effect of magnetic force
Helical Path
Motion of a charged particle in combined electric and magnetic field
Magnetic Force on a current carrying wire
Right Hand Palm Rule and Fleming Left hand Rule
Point of Application of magnetic force
Magnetic force between two parallel infinite wires
Torque on a Current loop
Moving coil galvanometer
Current sensitivity
Voltage sensitivity

Magnetism & Magnetic Material

Magnet and Magnetism
Pole strength
Magnetic dipole and Magnetic dipole moment
Magnetic field and strength of magnetic field
B due to single pole
B due to Bar magnet
Magnetic lines of force of a Bar Magnet
Magnet in an external uniform and non-uniform magnetic field
Earth's Magnetism (Terrestrial Magnetism)
Elements of the Earth's Magnetism
Tangent Galvanometer
Deflection Magnetometer
Magnetic Substances and their properties
Classification of Magnetic Materials
Important terms used in magnetism
Curie temperature
Explanation of Dia, Para and Ferromagnetism on the basis of atomic model of Magnetism
Hysteresis (Retentivity & Coercivity)
Electromagnets

Electromagnetic Induction

Magnetic Flux
Introduction Of Electromagnetic Induction
Faraday's Experiments
Faraday's Law Of Electromagnetic Induction
Lenz's Law Of Electromagnetic Induction
Induced EMF
Current and Change in a Circuit
Fleming's Right Hand Rule
Direction of Induced EMF and Current
Motional EMF
Motional EMF on the basis of Lorentz Force
Induced EMF Due To Rotation of Rod
Rotation of a coil and due to Rotating Disc
Rectangular coil in a Uniform Magnetic Field
Fixed loop in a time varying Magnetic field
Self Induction
Self Inductance of Solenoid
Inductor
Energy Stored In an Inductor
Energy Density
Growth and Decay of Current in Series R-L Circuit
Grouping Of Inductors
Mutual Inductance
Eddy current and its Uses
Generator or Dynamo
Electric Motor
L-C Oscillations

Alternating Current and E.M. Waves

Alternating and Direct Current
Mean Or Average Value Of AC
Peak And RMS Value Of Alternating Current
AC Sinusoidal Source
Power Consumed in an AC
Power Factor
Impedance
Reactance
Phase And Phasor Diagrams
AC Circuit Containing Pure Resistor
AC Circuit Containing Pure Capacitor
AC Circuit Containing Pure Inductor
Series R-C Circuit
Series R-L Circuit
Choke Coil
Series L-C Circuit
Series LCR - Circuit
Resonance
Admittance
Susceptance and Conductance
Half-Power points
Frequencies
Band Width and Quality Factor
Sharpness of Resonance
Form factor
Transformer and its Uses
Power In AC Circuit
Introduction to Electromagnetic waves
Displacement Current
Maxwell Equations
Sources of EM Waves
Nature of EM Waves
Refractive Index
Energy and Momentum
Radiation Pressure
Electromagnetic Spectrum

Ray Optics and Optical Instruments

Introduction to Optics and Reflection of Light
Reflection By Plane Mirrors (Image Formation)
Reflection By Plane Mirrors
Field of view
Relation between Velocity of object and Image
Image formed by two Plane Mirrors
Spherical Mirrors and Associated Terms
Rules For Image Formation By Spherical Mirror
Image Formation By Spherical Mirrors
Use of Spherical Mirror
New Cartesian Sign Convention
Relation Between Radius of Curvature and Focal Length
Mirror Formula
Linear Magnification
Velocity of Image of Moving Object (Spherical Mirror)
Combination of Mirrors Problem
Cutting of mirror Problem
Introduction of Refraction
Refractive Index and Laws of Refraction
Deviation of Ray due to Refraction
Principle of Reversibility of Light
Refraction From Rectangular Glass Slab (Lateral Shift)
Refraction Through Multiple Parallel Slabs
Real and Apparent Depth
Normal Shift
Total Internal Reflection (TIR) in Prism
Application of TIR
Refraction Through Prism
Dispersion of Light
Refraction at Spherical Surfaces
Velocity of Spherical Refraction
Thin Lens
Terms related to lens
Rules for image formation by the lens
Images formed by convex and Concave lenses
Lens Makers Formula
Sign Convention For Lens
Transverse or Lateral Magnification
Velocity of Image in Lens
Displacement Method
Power of Lens
Combination of lenses
Combination of lens and Mirror
Silvering of Lens
Cutting of lens
Natural phenomena of Refraction
Human Eye
Simple Microscope
Compound Microscope
Astronomical Telescope
Terrestrial Telescope
Cassegrain Telescope

Wave Optics

Nature of Light
Huygens' Construction
Wavefronts
Principle Of Superposition
Coherence
Young’s Double Slit Experiment (YDSE)
Shape of Interference
Fringes In YDSE
YDSE With White Light
Geometrical Path and Optical Path
YDSE With Oblique Incidence
Thin-Film Interference
Intensity Distribution Curve For Interference
Comparison of Intensities At Maxima And Minima
Displacement of Interference Fringes
Fresnel Biprism Experiment
Introduction to Diffraction of Light
Fresnel and Fraunhofer Diffraction
Diffraction at a Single Slit
Width of Central and Secondary Maxima
Double Slit Diffraction
Fresnel Distance
Diffraction through Circular Slit
Rayleigh Criterion of Resolution
Resolving Power of Human Eye
Microscopes and Telescopes
Introduction of Polarization
Unpolarized and Polarized Light
Law of Malus
Brewster Law

Dual Nature of Radiation and Matter

Dual Nature of Light
Electron Emission
Different Experiments
Work Function
Einstein’s Theory of Light
Radiation Force and Pressure
Photoelectric Effect
Experimental Setup of Photoelectric Effect by Lenard
Observations of Lenard’s Experiment of Photoelectric Effect
Einstein’s Equation for Photoelectric Effect
Quantum Efficiency
Photocell
De-Broglie Hypothesis
De-Broglie Wavelength of charged Particle
De-Broglie Wavelength of Uncharged Particle
Davisson-Germer Experiment

Atoms

Dalton's Atomic Theory
Thomson's Model Of An Atom
Rutherford Atom Model
Distance Of Closest Approach
Impact Parameter
Bohr's Atomic Model
Bohr's Theory Of Hydrogen Atom (Radius of Permitted Orbit)
Bohr's Theory Of Hydrogen Atom (Velocity of Electron)
Bohr's Theory Of Hydrogen Atom (Energy Of The Electron)
Bohr's Theory Of Hydrogen Atom (Time Period Of Revolution Of Electron)
Bohr's Theory Of Hydrogen Atom (Frequency Of Revolution Of Electron)
Wavelength Of Photon
Spectral Series Of Hydrogen Atom
Energy Level Diagram For Hydrogen

Nuclei

Atomic Nucleus
Composition Of Nucleus
Atomic Masses
Nuclear Size
Nuclear Density
Nuclear Force
Mass-Energy Relation
Mass Defect
Binding Energy
Binding Energy Per Nucleon
Binding Energy Curve
Nuclear Energy Levels
Radioactivity
Properties Of Alpha, Beta and Gamma Rays
Radioactive Decay Law
Half Life
Mean Life
Alpha, Beta and Gamma Decay
Nuclear Reaction
Nuclear Fission
Nuclear Chain Reaction
Nuclear Reactor
Nuclear Fusion

Semiconductors and Logic Gates

Semiconductors
Semiconductor Diode
I-V Characteristics in forward and reverse bias
Diode as a rectifier
I-V Characteristics of LED
Photodiode
Solar Cell
Zener Diode
Zener Diode as a voltage regulator
Junction Transistor
Transistor Action
Characteristics of a Transistor
Transistor as an Amplifier (common emitter configuration) and Oscillator
Logic Gates (OR, AND, NOT, NAND and NOR)
Transistor as a Switch
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