Review of Different Force law

Conservation of Linear Momentum

Collisions

Elastic Collisions in Two Dimensions

Angular Momentum

System of Variable Mass - The Rocket

Gravitational Field, Potential and Velocity of Escape from Earth

Gravitational Potential and Field Intensity Due to a Spherical Shell and a Solid Sphere

Gravitational Flux and Poisson's equation of Gravitational Field

Application of Gauss Law

Central Force and Reduction of Two body problem into One body problem

Gravitational Self Energy and Gravitational Self Energy of a Sphere

Kepler's Law of Planetary Motion

Harmonic Oscillator: Introduction

Simple and Compound Pendulum

More Examples of SHM

Damping Effect

Kinematics of Moving Fluid and Some Terms

Bernoulli's Theorem and its Applications

Poiseuille's Relation and its Applications

Definition and Moduli of Elasticity

Torsional Rigidity of a Cylinder and Bending Moment of a Beam

Cantilever, Supported Beam and Relation between Sagitta and Curvature

Harmonic Wave

Energy and Waves

Waves in Strings, Rods and Gases

Some Terminology

Theorems in Rotational Dynamics

Moment of Inertia of a Rectangular Lamina

Moment of Inertia of a Ring

Moment of Inertia of a Circular Disc

Moment of Inertia of an Annular disc

Moment of Inertia of Solid sphere

Moment of Inertia of a Spherical shell (hollow sphere)

Moment of Inertia of a Solid Cylinder

Moment of Inertia of a Hollow cylinder

Kinetic Energy of a Rigid body

Acceleration of an Object Rolling Down an Inclined Plane

Equation of Motion of a Rotating Rigid body

Thermodynamic Fundamental Concepts

Laws of Thermodynamics and Carnot's Theorem

Clausius-Clapeyron's Equation, Second Latent Heat Equation

Thermodynamic Potentials and their Relations with Thermodynamic Variables

Mean Free Path

Some Deductions from the Expression for the Pressure

Degree of Freedom, Laws of Equipartition of Energy and Atomicity of Gases

Brownian Motion

Transport Phenomena

Kirchhoff’s Law and Pressure of Diffusion

Stefan’s Law and Spectrum of Black Body

Average Energy of Classial Oscillator and Planck's Oscillator

The Number of Resonators per unit Volume lying in Wavelength and Frequency

Planck’s Law of Radiation and Wein's Displacement Law

Planck’s Radiation Law and Solar Constant

Phase space, Microstates and Macrostates ,Ensemble, Constraints

Thermodynamical Probability, Fundamental Postulates of Statistical Mechanics,

Boltzmann Canonical Distribution Law and Maxwell's Distribution of Velocities,

Bose-Einstein statistics and Fermi-Dirac statistics

Some Terms of Vector

Vector and Scalar Product

Gradient and Divergence

Curl and Gauss Divergence Theorem

Green’s Theorem

Stroke's Theorem

Orthogonal Curvilinear Coordinates

Coloumb's law, Electric lines of Force, Electric Flux, Gauss law, Application of Gauss law, Differential form of Gauss law

Electric Field, Electrostatic Potential, Work done in moving a charge, Electrostatic Potential Energy

Electrical Image

The Electric Dipole

BOUNDARY CONDITIONS OF \(\vec{D}\) and \(\vec{E} \) INTERFACE, CLAUSIUS MOSOTTI FIELD EQUATION, LANGEVIN DEBYE EQUATION

Polar and Non-Polar molecules; Dielectric constant and Displacement Vector; Gauss law in Dielectric; Electric Polarization, Displacement Vector and Their Relation; Force and Energy in Dielectric syste

Faraday's Law

Skin Effect

Search Coil

Charging and Discharging of Capacitor, Growth and Decay of current in L-R circuit, L-C circuit, Power Factor

Q-factor, L.C.R. Circuit

Maxwell Equation

Poynting Theorem

Equation of Continuity and Displacement Current

Electromagnetic Wave Equation and Waves in Free Space by using Maxwell’s equations

Plane Electromagnetic Waves in Non-conducting Isotropic Medium

Plane Electromagnetic Waves in Anisotropic Non-conducting Medium

Reflection and Refraction of Electromagnetic waves

Binding Energy, Mass Detect, Packing Fraction, Binding Energy of Nucleus and per Nucleon

Explanation of B.E. curve about stability of nuclei

Nuclear force

Exchange force

Deuteron Problem

Ground State of Deuteron

S-state of Deuteron

Nucleons in Deuteron

Nuclear Stability and Nuclear Binding Energy

liquid drop model

Mass Parabola

Achievements of Liquid Drop Model

Symmetric Fission From liquid Drop Model Approach

shell Model

Prediction,limittation of Shell Model and Comparative Study of Shell Model and Liquid Drop Model

Magic Number

Spin Parity

Mirror Nuclei and Coefficient of the Surface Energy

The Nuclear Atom, Rutherford Scattering and it's Conclusion.

Atomic spectra, The Bohr's atom

Energy level diagram and spectra of hydrogen atom

Bohr's atomic model: Evidence in the favour of Bohr's theory, limitation of Bohr's atomic model.

Sommerfield atomic model

Sommerfield atomic model: Calculation of total energy

Franck-Hertz experiment

Electron spin, Pauli's exclusion principle

Stern and Gerlach Experiment

Vector atom model

Quantum number associated with vector atomic model.

Fine structures of hydrogen and sodium, Larmor's precession

Zeeman effect

Zeeman effect( Quantum mechanical treatment), Critical potential

Anomalous Zeeman effect

Characteristic X-ray, x-ray diffraction and spectrometer

Moseley's Law And Its Application

Radioactivity

alpha-particle, mean life

Beta -ray spectra

Neutrino theory of beta -decay, electron capture

Ionization chamber,G.M. counter

Bubble chamber and Cerenkov Detector

Semiconductor device and linear accelarator

cyclic accelerator

Cyclic Accelerator

Betatron( Cyclic Accelerator)

Wave front, Huygen's wave theory

Michelson's interferometer_TRUE NOTE

Michelson's interferometer

Interference, optical path, phase difference and path difference, interference due to reflected and transmitted light wave_TRUE NOTE

Lloyd's Single Mirror and Fresnel's Bi-prism

Newton's Ring

Coherent & in-coherent source of light Young's Double slit Experiment

Application of Newton's Ring

Normal Dispersion

Anomalous Dispersion and Lorentz theory( true not )

Anomalous Dispersion and Lorentz theory

Scattering and Molecular Scattering and Raman spectra

Laser, Induced Absorption, Spontaneous and Stimulated emission, Population Invertion

Theory of Holograpgy

Basic technique of Holography, construction of Hologram, its types and Application

Astigmatism, Spherical aberration and Comatic Aberration

Aberration And Chromatic aberration

Ramsden's Eye-piece

Huygen's Eye-piece

Achromatism and Achromatic Lenses

Distortion, Curvature of Field, Longitudinal Chromatic Aberration for an Object at Finite Distance

Superposition Theorem,Ideal constant -voltage source and ideal constant current source

Thevenin's and Norton's Theorem and their applications and maximum power transform theorem

PNP and NPN transistors

Transistor input,output and transfer characteristics in common mode configuration

common emitter configuration

Common collector mode cofiguration

Load line, Q-point, optimum Q-point,bias stabilization, stability factor

Transistor biasing and and it's diffirent types

Common base amplifier and its DC and AC equivalent circuit

Common emitter amplifier and it’s equivalent AC and DC equivalent circuit :

Common collector amplifier and it’s equivalent AC and DC equivalent circuit

Cascade amplifier and R-C coupled ampifier

Differential amplifier and CMRR

Common emitter amplifier and it’s equivalent AC and DC equivalent circuit

Operational amplifier

Working principle of Hartley oscillator

Working principle of Phase shift oscillator

Working principle of Colpits oscillators

Feedback amplifier

Field effect transistor and its characteristics:

Unijunction transistor and its characteristics

Multivibrator and its working principle

Barkhousen Criterion and explanation of negative feedback amplifier:

FET as amplifier and UJT as relaxation oscillator

Decimal and binary numbers and their interconversion

Need of Quantum Theory ( Black body radiation )

Inadequacies of classical Mechanics

Wave-Matter duality of radiation

de-Broglie Wavelength of relativistic particle

Calculation of de-Broglie wavelength of neutrino, diatomic gas and poly-atomic gas

Phase velocity and group velocity

Derivation for Group velocity

Relation between group velocity and particle velocity

Superposition of plane waves

Particles wave packet spreads in time

Development of time dependent and independent Schrodinger equation

Solution of Schrodinger equation

Equation of continuity in quantum mechanics

Step of Normalization

Importance of normalization

Eigen Value Equation

Expectation Value of dynamical Quantity:

Orthogonality of wavefunction and eigen value

Example of Normalization

Introduction of Operator and Commutation relation

Commutation Relation between position and linear momentum

Commutation relation between different components

Commutation relation between position and angular momentum, linear momentum and angular momentum, components of angular momentum operators.

Square of angular momentum operator, Ladder operator and some numerical examples

Hermitian Operators

Proof associated with Hermitian Operator

Properties of Hermitian operator

Properties of parity operator and Hermitian operator

Equation of motion in Quantum Mechanics

Boundary condition

Boundary condition [ Continue ]

Application of Boundary condition

Reflection coefficient

Potential step

Penetration depth and potential barrier.

Potential depth and potential barrier [ continue ]

Tunneling Effect

Tunneling effect [ continue ]

Introduction

Energy eigen value of one-dimensional simple harmonic oscillator.

Characteristics of Energy eigen value

Normalized first four wave function for simple harmonic oscillator.

Probability of finding one dimensional Simple Harmonic Oscillator

Heisenberg's Uncertainty principle

Schrodinger time-independent equation in spherical polar co-ordinate system.

Schrodinger time-independent equation in spherical polar co-ordinate system [ continue ]

Schrodinger time-independent equation in spherical polar co-ordinate system [ continue 2 ]

Energy eigen value of Rigid rotator

Rigid Rotator

Schrodinger equation for rigid rotator.

Schrodinger equation for rigid rotator. [ continue ]

Schrodinger Equation for two interacting particle in Spherical co-ordinate

Particle in a Spherical-Box

Isotopic Harmonic Oscillator

General Result for two particle bound state

Introduction to Tensor Analysis

Fundamental operation of tensor

Types of tensor

Types of tensor [ continue ]

Christoffer's symbol

Some important proof

Tensor form of Gradient, Divergence and curl

Some of the important proof associated with tensor analysis

Introduction to vector space

Subspace and linear combination of a vector.

Linear independence

Inner product space, Cauchy Schwartz inequality and triangle inequality

Orthonormal vector and Gram-Schmidt orthonormalization process

Orthonormal basis

Linear transformation and it's properties

Problem associated with linear transformation and change of basis

Linear Operators and Their Matrix Representation and properties of arbitrary matrix

Spacial Square Matrices

Orthogonal, Unitary and Hermitian Matrix

Inverse Coordinate Transformation and Similarity Transformation, Matrix Representation

Eigen Values and Eigen vectors of the Matrix and The Eigenvalue Probem

Diagonalization of Matrices

Linear Transformation in Matrix Form

Change of interval and Fourier integral

Fourier series of \(f(x)=x^2\)

Fourier transformation of f(x)=x and square wave

Fourier series of triangular wave and parseval relation

Fourier series of Full-wave Rectifier

Development of the Fourier expansion for some function

Fourier series in complex form

Dirac-delta function

Fourier transformation

Fourier transformation of Gaussion distribution and box-function

Parseval's theorem and convolution theorem in fourier transformation

Laplace transformation

Laplace transformation of some functions

Laplace transformation of derivation, integration and properties of Laplace transformation

Laplace transformation of unit step function, dirac-delta function and some other function.

Inverse Laplace transformation

Inverse Laplace transformation of some function.

Introduction to differential equation

Hermite Differential Equation

Series solution and Hermite polynomial of Hermite differential equation

Generating function and Rodrigue's formula of Hermite polynomial

Orthogonality property of Hermite polynomial

Bessel differential equation and it's series solution

Generating function of Bessel polynomial and Recurrence relation

Integral form of Bessel polynomial and orthogonality of Bessel differential equation

Series solution of Laguerre's Differential Eqution

Generating function, Recurrence relation and Rodrigues formula of Laguerre's Differential Equation

First four Lagueree polynomial, Orthogonality of Lagueree polynomial

Series solution of Legendre differential equation

Polynomial solution,Generating function of Legendre differential equation

Recurrence relation and Rodrigue's formula of Legendre differential equation

Orthogonality of Legendre differential equation and Associate Legendre differential equation

Co-ordinate system and it's rotation.

Introduction to partial differential equation and solution of Laplace equation in cartesiaan co-ordinate system.

Laplace equation in spherical polar co-ordinate

One dimensional wave equation and D-Alembert's solution of wave equation

Solution of Laplace equation in cylindrical co-ordinate system and Heat conduction equation

Atomic Scattering Factor

Geometrical Structure Factor

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