Chapter 1: VECTORS • Introduction • Scalar or dot product • Vector
or cross product • Examples of scalar and vector products in
physics • Multiple products • Vector derivatives • Scalar and
vector fields • The gradient of scalar field • The concept of
divergence and Gauss’s theorem • Green’s theorem in the plane • The
curl of a vector field and stokes theorem • Successive applications
of the operator • Curvilinear coordinates • Applications to
hydrodynamics • The equation of heat flow in solids • The
gravitational potential
Chapter 2: PHYSICAL FUNDAMENTALS OF MECHANICS • Introduction •
Frame of reference and coordinate systems • Newton’s laws of motion
• Space-time symmetry • Galileo’s principle of relativity and
Galilean transformations • Fundamental interactions in nature •
Elastic forces • Friction forces
Chapter 3: NON-INERTIAL FRAMES • Non-inertial frames • Reference
frame with translational acceleration and fictitious or pseudo or
inertial force • Coriolis and centrifugal forces • Motion relative
to the earth • Equation of motion and deviation of freely falling
bodies on earth • Effect of coriolis force on nuclear and molecular
motion • Satellite motion
Chapter 4: CONSERVATION LAWS • Introduction • Law of conservation
of mass • Conservation of energy • Work-energy theorem •
Conservative forces • Potential energy • Rectilinear motion under
conservative force • Non-conservative forces • Principle of
conservation of momentum • Centre of mass (or centre of inertia) •
Collisions • Collision in centre of mass frame • Relations between
scattering angles in Lab and CM frames • Kinetic energy in
collision • Systems with variable mass • Angular momentum (or
moment of momentum) • Angular momentum of a system of particles or
an extended system • Angular momentum of two particles relative to
their C.M. or C-Frame • Law of conservation of angular momentum •
Angular momentum of the extended system about an arbitrary point •
Rutherford Scattering: Scattering of charged particles by heavy
nuclei
Chapter 5: DYNAMICS OF RIGID BODIES • Introduction • Moment of
inertia • Theorems of moment of inertia • Calculation of moment of
inertia • Energy of a rotating rigid body • Gyroscopes • Spin
precession in constant magnetic field • Fly wheel • Angular
momentum in quantum mechanics • Molecular rotations
Chapter 6: MOTION UNDER CENTRAL FORCES: THE UNIVERSAL GRAVITATION •
Introduction • Nature of central forces • Motion under central
force • Newton’s law of universal gravitation • Inertial and
gravitational mass • Motion in gravitational field (Inverse square
law field) • Kepler’s laws • Rutherford scattering • Gravitational
field and potential • Three particles system • Inter-planetary
flights • Binary stars • Gravitation and intermolecular forces •
Gravitational red shift
Chapter 7: ELASTIC PROPERTIES OF MATTER • Introduction • Some
definitions • Different types of co-efficients of elasticity •
Theorems on stress and strain • Relations between elastic constants
• Bending of beams • The cantilever-depression of its loaded end •
Transverse vibration of a cantilever • Beam supported at both ends
and loaded in the middle • Torsion of a cylinder • Torsional
oscillations • Determination of elastic constants • Origin of
elastic forces • Determination of Y by bending • Determination of
Poisson’s ratio of rubber • Engineering materials
Chapter 8: FLUID MECHANICS • Introduction • Properties of fluids •
Archimedes’ principle • Euler’s equation of motion for a moving
fluid • Torricelli’s theorem: Speed of efflux of a fluid from a
large vessel • Irrotational continuous flow of inviscid fluids •
The continuity equation • Bernoulli’s equation: Steady flow of
fluids • Venturimeter • Laminar and turbulent flows • Coefficient
of viscosity • Limiting or terminal velocity • Reynolds’ number •
Flow of a liquid in a round pipe: Poiseuille’s formula • Lift
Chapter 9: SURFACE TENSION • Introduction • Surface tension •
Molecular theory of surface tension • Surface energy • Shape of
liquid drops • shape of liquid in contact with a solid • Angle of
contact • Equilibrium of a liquid drop on a solid surface •
Equilibrium of liquid drop resting on the surface of another liquid
• Determination of angle of contact and surface tension by
Quincke’s drop method • Pressure Difference Across a curved Surface
• Expression for excess of pressure on the curved surface • Excess
pressure inside a spherical drop and buble • Excess pressure inside
an air bubble in a liquid • Excess pressure inside an air bubble in
a liquid • Surface tension of soap solution • Water film between
two glass plates • Capillary Action (capillarity) • Determination
of surface tension • Variation in surface tension • Saturation
vapour pressure and shape of meniscus
Chapter 10: OSCILLATORY MOTION • Introduction • Oscillations in a
potential well • Simple harmonic motion (SHM) • Some examples of
free vibrations • Superposition of two simple harmonic motions •
Superposition of mutually perpendicular two SHMs • Coupled
oscillators • Anharmonic oscillations • Damped oscillations • Power
dissipation in damping oscillations • Auto-oscIllations • Forced
oscillations • Fourier Analysis of periodic motion
Chapter 11: FUNDAMENTALS OF ANALYTICAL MECHANICS • Introduction •
Generalized coordinates • Lagrangian-hamilton’s variation principle
• Hamiltonian formalism
Chapter 12: NON-LINEAR OSCILLATIONS, CHAOS AND FRACTALS •
Introduction • Singular points of trajectories • Non-linear
oscillations • Chaos • Logistic map • Fractals
Chapter 13: RELATIVISTIC MECHANICS • Introduction • Inertial frames
of reference • Galilean transformations • Velocity of light • The
search for the ether • Michelson-Morley experiment • Lorentz and
Fitzgerald hypothesis • Einstein’s special theory of relativity •
Lorentz transformations • Proper frame, proper length and proper
time • Experimental verification of time dilation • Relativistic
velocity transformation equations • Relativity of mass •
Mass-energy equivalence • Relation between momentum and energy •
Particles with zero rest mass • Speed limit for material particles
• Space and time in relativity • Four-vector notation • The
velocity four vector • The momentum four-vector • The four-force
vector • Electromagnetic interaction • The current density
`Four-Vector’ • Aberration of light from stars • The relativistic
doppler effect
Chapter 14: QUANTUM MECHANICS • Introduction • Wave equation •
Fundamental postulates of quantum mechanics • Important theorems
relating to basic postulates • Operators • Eigen functions and
eigen values of operators • Operator for momentum • Importance of
hamiltonian operator • Operator for angular momentum • Rules for
setting up a quantum mechanical operators • Complete set of eigen
functions • Completeness relation • Hermitian operators • Adjoint
of an operator • Simultaneous measurement and commuting operators •
Equation of motion for operators • Unitary operators • Degeneracy •
Forbidden transitions • Particle in a potential well
(one-dimensional box) • Potential barrier • Emission of a-particles
from a radioactive element • Particle in a rectangular
three-dimensional box • Relativistic wave equation • Dirac equation
(for a free particle)
Professor Dr S.L. Kakani, M.Sc (Phys.), Ph.D.,
former Executive Director, Institute of Technology and Management,
Bhilwara, is an internationally renowned physicist and has had a
distinguished career spanning more than four decades of teaching,
research and administration. He has authored several standard
books. His two research monographs on superconductivity have been
published by NOVA Science, New York, and recently four of his books
have also been published by Anshan Ltd., UK. He has authored a
large number of research papers in the fields of superconductivity,
nanomaterials, condensed matter physics, material science, etc. He
has supervised Ph.D. theses in the field of superconductivity and
thin films. Prof Kakani served as the Chairman, BOS and Research
Board, MDS University, Ajmer. He is Visiting Professor at several
prestigious institutions. He has received several national and
international awards and honours for his outstanding academic
contributions and achievements. He is life member of IAPT, Vigyan
Parishad and Hith-T update.
Dr C. Hemrajani, Head (Retd.), Physics Department,
MLV Government PG College, Bhilwara. A Ph.D. from MDS University,
Ajmer, he is the co-author of several UG and PG textbooks. He has
put in thirty-six years of service teaching Physics right from UG
to PG.
Dr Mrs. Shubhra Kakani, M.Sc. (Phys.), Ph.D.,
received her M.Sc. in Physics and Ph.D from MDS University, Ajmer.
She has co-authored more than nine books: Problems on Advanced
Quantum Physics, Thermal Physics, Superconductivity, Modern
Physics, Nuclear and Particle Physics, Mechanics, Engineering
Physics, A Textbook of Engineering Physics and ICSE Physics.
Presently, she is pursuing post-doctoral research.
Ask a Question About this Product More... |