 2018-2019 StudyChaCha

#1
 Nilesh Super Moderator Join Date: Nov 2011 Posts: 31,642 Will you please provide me the Jawaharlal Nehru University MSC Physics Entrance Exam Syllabus?

As you want to get the syllabus for entrance exam for admission into M.Sc at JNU, so here I am providing the following syllabus:

Syllabus M.SC Entrance Exam JNU

UNIT I
Coordinates Systems: Curvilinear coordinates: orthogonal curvilinear coordinates; rectangular, spherical and cylindrical polar coordinates. Velocity, acceleration and volume element in spherical polar coordinates.

Mechanics of a Single and of System of Particles: Newtons laws of motion, Mechanics of a Particle, Equation of motion of a particle ( simple cases; motion of a particle subject to a resistive force, motion of a projectile in a resisting medium), Mechanics of a system of particles; angular momentum and energy of a system. Motion of a system with variable mass.

Motion in a central force field: Equivalent one body problem, equations of motion in central force field and their solutions. Motion in an inverse square law force field , Equation of the orbit; elliptical hyperbolic and parabolic orbits. Kepler’s laws of planetary motion and their derivations

UNIT II
Collision of Particles: Elastic and inelastic scattering. Elastic scattering: laboratory and centre of mass systems, kinematics of elastic scattering. Inelastic scattering. Cross section ;differential cross section , impact parameter, the Rutherford formul

Lagrangian Formulation : Constraints, Generalized coordinates, D’Alembert’s principle. Lagrangian equations, general expression for kinetic energy, Lagrangian of some simple systems (simple pendulum, spherical pendulum, charged particle in an electromagnetic field).

Moving coordinate systems : Rotating coordinate systems. The Coriolis force, motion on the Earth, effects of Coriolis force on a freely falling particle.

Oscillations: Simple harmonic oscillator; energy of a simple harmonic oscillator, compound pendulum, mass attached to a spring. Damped harmonic oscillator;Energy dissipation. Forced oscillations; Amplitude resonance.

UNIT III Special Theory of Relativity: Newtonian relativity. Michelson-Morley experiment, special theory of relativity, Lorentz Tranformations and their consequences ( Relativity of simultaneity,Lorentz-FitzGerald length contraction , time dilation. Relativistic addition of velocities; variation of mass with velocity, mass energy relation. Space-time four-dimensional continuum, four-vectors.

UNIT IV Vector Calculus: Scalar and Vector Fields, Triple Vector Product, The operator , Laplacian operator, Gradient of a Scalar and its geometrical interpretation, Divergence and Curl of Vector, Physical interpretation of Curl and Divergence. Line, Surface and Volume integrals, Evaluation of double and triple integrals. The fundamental theorem for gradients, Gauss’s Divergence Theorem, Stoke’s Theorem. Electrostatics: Multipole Expansion of E for Distribution of Charge at Rest, Dipole and Quadrupole Fields, Electrostatic Field Energy, Force per unit area on the surface of a conductor in an electric field, Point Charge in front of a Grounded Plane Infinite Conductor. Dielectrics: Parallel Plate Capacitor with a Dielectric, Dielectric Constant, Polarization and Polarization Vector P, Displacement Vector D, Relation Between E, P & D, Boundary Conditions Satisfied by E and D at the interface between two Homogenous Dielectrics, Illustration Through Simple Examples.

UNIT V Current Electricity: Steady Current, Current Density J, Non-Steady Currents and Continuity Equation, Rise and Decay of Current in LR and RC circuits, Decay Constants, Transients in LCR Circuits, AC circuits, Complex Numbers and their applications in solving AC circuit problems, Complex Impedance and Reactance, Series and Parallel Resonance, Q factor, Power Consumed by an AC circuit, Power Factor. Magnetostatics: Magnetic Dipole Moment, Biot -Savart’s law, Ampere’s Circuital Law, .B = 0,  x B =  0 J, Magnetization Current, Magnetization Vector, H Field (magnetizing field), Calculation of H in Simple Geometrical Situations (Hystersis Loop, Rowland ring) Susceptibility and Magnetic Permeability (linear cases). Faraday’s Laws, Integral and Differential Forms, Energy in a Static Magnetic Field, Maxwell’s Displacement Current, Maxwell’s Equations, Electromagnetic Field Energy Density. The wave equation satisfied by E and B, Plane Electromagnetic Waves in Vacuum, Poynting Vector and Theorem, Reflection and Refraction at a Plane Boundary of Dielectrics.

UNIT VI Kinetic theory: Basic concepts, Degrees of freedom, Equipartition of energy. Specific heat of monatomic diatomic and tri-atomic gases, behaviour at low temperatures, Maxwell’s velocity distribution, distribution of speeds ; mean values. Transport phenomena in gases: Molecular collisions, mean free path and collision cross section. Transport Phenomenon: transport of momentum, mass and energy and their inter-relationship. Brownian motion, Einstein’s theory.
Deviation from perfect gas behaviour, van der Waals’ equation of state, nature of Vander Waals forces, comparison with experimental results, the critical constants. Joules expansion of ideal gas and of a Vander Waals gas, Joule coefficient, estimates of J-T cooling. Liquefaction of gases: Boyles temperature and inversion temperature, principle of regenerative cooling and of cascade cooling, Liquification of hydrogen and helium, refrigeration cycles, meaning of efficiency. Cooling due to adiabatic demagnetization
.
UNIT VII Thermodynamics:Concept of thermal equilibrium, internal energy. Carnot theorem. Entropy, Principle of increase of entropy, the thermodynamic scale of temperature, its identity with the perfect gas scale, impossibility of attaining the absolute zero, Third law of thermodynamics. Thermodynamic relationships: Thermodynamic variables ; Extensive and Intensive, Maxwell’s general relationship. Clausius-Clapeyron heat equation, thermodynamic potentials and equilibrium of thermodynamical systems, relation with thermodynamical variables. The Statistical basis of thermodynamics: Probability and Thermodynamic probability, Probability distribution. The expressions for average properties, constraints , accessible and inaccessible states, distribution of particles with a given total energy into discrete set of energy states; microstates and macrostates. Probability and entropy: Boltzmann Entropy relation, Statistical interpretation of the second law of thermodynamics, Boltzmann Canonical distribution law ; partition function, partition function of an ideal monoatomic gas. The rigorous form of Equipartition of energy. Maxwell-Boltzmann ,Fermi-Dirac and Bose-Einstein Statistics( Derivation of distribution laws in each case)

. UNIT VIII Transverse waves on an ideal stretched string; The wave equation, general solution of one dimensional wave equation; harmonic waves, Standing waves on a string of fixed length, energy of a vibrating string. Longitudinal waves in a solid: The wave equation for longitudinal waves on a thin cylindrical rod, energy density and energy transmission in waves. Application to Earthquakes. Waves over liquid surface: concept of gravity waves and ripples. Group velocity and phase velocity. Two dimensional waves: Standing waves on a stretched rectangular membrane: solution by method of separation of variables, normal modes of vibrations. Interference of light: The principle of superposition, two-slit interference, Intensity distribution, Displacement of fringes. Interference in thin parallel films.Non-reflecting films. Michelson interferometer, its application for precision determination of wavelength,
wavelength difference and width of spectral lines. Multiple beam interference, Fabry-Perot interferometer and etalon; Intensity distribution.

UNIT IX Fraunhofer diffraction: diffraction at a slit, the intensity distribution. Diffraction at a circular aperture. Two slit diffraction pattern, intensity distribution. Diffraction gratings: Diffraction at N parallel slits, intensity distribution at an N parallel slits.Plane diffraction grating Resolution of images, Rayleigh criterion, resolving power of telescopic and microscopic systems, resolving power of a grating . Frensel diffraction: Frensel half-period zones, The Zone-Plate. Diffraction at a circular aperture, Diffraction by a straight edge (analysis using half-period zones). Rectilinear propagation of light. Polarization: Polarization by reflection, Malus’s law. Double refraction, Refraction in Uniaxial crystals.Optical activity, Rotation of plane of polarization.Origin of optical rotation in liquids and in crystals.

Unit X Origin of quantum theory: Black body radiation; Planck’s radiation law, Photoelectric effect, Compton Effect. Wave properties of particles: De-Broglie’s matter wave, the concept of wave packets and group velocities, evidence for diffraction and interference of particles, Davison-Germer Experiment, Heisenberg’s uncertainty relation for p and x, its extension to energy and time, applications of uncertainty principle. Quantum mechanics: Schrödinger’s wave equation (Time independent form), linearity and superposition, expectation values, operators. Applications: particle in a box, finite potential well, tunnel effect, harmonic oscillator. Quantum Theory of Hydrogen atom: Schrödinger equation for Hydrogen atom, separation of variables, Quantum numbers ( n, l, m), space quantization, electron probability density.

Unit XI Atomic Structure: Electron spin, Stern-Gerlach experiment, Pauli’s exclusion principle, symmetric and anti-symmetric wave functions, atomic structures (shells and sub-shells). Spin-orbit coupling, total angular momentum J, L-S coupling, j-j coupling;Term-symbols Normal and anomalous Zeeman Effect, Lande g-factor. The molecular bond, mechanism of electron sharing, the hydrogen molecule.
Diatomic molecules: Quantization of rotational energies; rotational energy levels, pure rotational spectra .Vibrational energy levels, pure vibrational spectra. Rotation-Vibration spectra of diatomic molecules. Raman Effect: Stokes and anti-Stokes lines, classical theory of Raman-effect, Raman-activity (concept of Polarizability ellipsoid). Unit XII Structure of Nuclei: Nuclear composition, nuclear properties(size, spin, magnetic moment), Stable Nuclei ( Nuclear decay, Binding energy), Liquid drop model, Shell model. Meson theory of nuclear forces. Radioactive decay: Half-life, radioactive series. Theory of Alpha decay ( Tunneling effect) , beta-decay, gamma- decay. Nuclear Reactions: Cross section, Nuclear Fission, Nuclear reactors. Nuclear Fusion; Nuclear Fusion in Stars, Fusion reactor. Elementary particles: Interaction and particles, Classification;Leptons and hadrons,Elementary particle quantum numbers;Baryon,lepton and strangeness numbers. Quarks; colour, flavour, quark confinement.

Unit XIII The crystalline state; crystal lattice,the unit cell, Bravais lattice and seven crystal systems. Point groups, space groups , non- Bravais lattice. Crystal planes and Miller indices. Simple crystal structures; Sodium Chloride, Diamond, Zinc sulfide. Amorphous solids.Interatomic forces,Types of bonding( ionic,covalent,metallic,hydrogen,van der Waals) Reciprocal lattice and X-ray diffraction, The diffraction condition, Bragg’s law. Experimental techniques; the rotating-crystal method, the Laue method, the powder method. Lattice vibrations: Elastic waves, density of states of continuous medium. Specfic heat; Einstein and Debye models.Lattice waves; the one-dimensional monoatomic lattice,density of states of a lattice. The concept of Phonons.

Unit XIV Motion of electrons: Quantum mechanical free electron gas, Electrical conductivity, electrical resisitivity versus temperature, Heat capacity of conduction electrons. The Fermi surface; electrical conductivity ( effects of the Fermi surface),thermal conductivity in metals.
Band Structure: Energy bands in solids; the Bloch theorem, Electrons in one dimensional periodic potential, concept of Brillouin zones, explanation of energy bands on the basis of Brillouin zones. Metals, insulators and semiconductors. Semiconductor theory: Band structure, intrinsic semiconductors; temperature dependence of carrier concentration. Impurity states ( acceptor and donor), extrinsic semiconductors; the electron-hole concentration product. Electrical conductivity; temperature dependence. The effect of magnetic field on a semiconductor; the Hall effect.

Unit XV Semiconductor Devices: p-n junction, working (on the basis of energy band diagram), rectification property, derivation of rectification equation. The junction transistor, its working (on the basis of energy band diagram), Tunnel diode, the Field effect transistor. Pn-junction diode, Zener diode as a voltage regulator. bridge rectifier, ripple factor,passive filters, regulated power supply. Transistor load line, Transistor biasing techniques (Voltage divider),bias stability, thermal runaway. Transisitor equivalent circuits, h-parameters; h-parameter equivalent circuit for CE configuration,. FET and its characteristics, MOSFET; types and characteristics , applications of MOSFET. Transistor amplifiers, Two-stage RC coupled amplifier; equivalent circuit at mid-frequency,Gain at mid –frequency., Transformer coupled amplifiers, expression of gain at mid-frequency. Emitter follower.

Image Last edited by Aakashd; May 18th, 2019 at 07:55 PM.
 Other Discussions related to this topic Thread

#2
 Gunjan Super Moderator Join Date: Dec 2011 Posts: 40,518 Re: JNU MSC Physics Entrance Exam Syllabus

You are looking for the Jawaharlal Nehru University MSC Physics Entrance Exam Syllabus i am giving here:

MSC Physics Entrance Exam Syllabus

Simple Harmonic Motion
Doppler effect
Diode and triode valves
Electromagnetism and magnetism
Thermometry
Archimedes principle
Capacity and condenser
Elasticity surface tension
Photometry
Photo-electric effect
Chemical effect of current and thermo-electricity
Gravitation
Nuclear structure and nuclear energy
Reflection at plane and spherical surface
Refraction through spherical surface
Kinetic theory of gases
Eye optical instrument aberration and defect of vision
Atomic models and spectra
Transmission of heat
X-rays
Work power and Energy
Electric field and potential
Thermodynamics
Semi-conducting devices
Alternating current
Universe
Refraction at plane surface
Wave nature of light
Electromagnetic induction
Isothermal changes
Expansion of solids, liquids and gases
Rotatory motion of rigid bodies
Cathode rays and positive rays
Viscosity and Bernoulli’s principle
Calorimetry
Motion in one, two and three dimension
Electric conduction and heating effect of current
Matter waves
Uniform circulation motion
Simple circuits
Wave motion
Superposition of waves (beats, interference and stationary waves)
Vibration of columns and strings
Solids
Newtons law of motion

Contact:
JNU New Campus Post and Telegraph Office

JNU New Campus, JNU Ring Rd, New Delhi, DL 110067 ‎
011 2670 4090 ‎

Map:

__________________

#3
 Kangkank Junior Member Join Date: Feb 2014 Posts: 1 Which is the correct syllabus? Plz upload the last year question paper.
.
#4
 dr chandravir singh Guest Posts: n/a Re: JNU MSC Physics syllabus and books authors name

JNU MSC Physics syllabus and books authors name
#5
 kajal nawhal Junior Member Join Date: Feb 2015 Posts: 1 kajal nawhal

Will you send me jnu physics msc entrance exam syallabus??
#6
 mathi3g@gmail.com Junior Member Join Date: May 2015 Posts: 1 nuclear physics

Can you please provide me the m.sc nuclear physics entrance exam question pattern?
#7
 Unregistered Guest Posts: n/a Re: JNU MSC Physics Entrance Exam Syllabus

Hi buddy I want to get JNU MSC Physics Entrance Exam Syllabus so would you plz let me know from where I can do get it online free of cost , will you plz give me if you have it ??
#8
 shabnams Super Moderator Join Date: Dec 2012 Posts: 19,800 Re: JNU MSC Physics Entrance Exam Syllabus

As you want here I am providing JNU MSC Physics Entrance Exam Syllabus on your demand:

JNU MSC Physics Entrance Exam Syllabus
Mathematical Physics: Linear vector space; matrices; vector calculus; linear differential equations; Fourier analysis.
Classical Mechanics: Conservation laws; central forces, Kepler problem and planetary motion; mechanics of system of particles; rigid body dynamics;
moment of inertia tensor; special theory of relativity Lorentz transformations, mass-energy equivalence.
Electromagnetic Theory: Solution of electrostatic and magnetostatic problems including boundary value problems; dielectrics and conductors; BiotSavarts and Amperes laws; Faradays law; Maxwells equations; scalar and vector potentials; Electromagnetic waves and their reflection, refraction,
interference. Poynting vector, Poynting theorem.
Quantum Mechanics: Physical basis of quantum mechanics; uncertainty principle; Schrodinger equation; one, two and three dimensional potential
problems -- particle in a box, harmonic oscillator, hydrogen atom.
Thermodynamics and Statistical Physics: Laws of thermodynamics; macrostates and microstates; phase space; free energy, calculation of
thermodynamic quantities; black body radiation and Plancks distribution law; classical statistics.
Atomic and Molecular Physics: Spectra of one- and many-electron atoms; LS and jj coupling; Zeeman and Stark effects; X-ray spectra; lasers.

JNU MSC Entrance Exam Syllabus   Attached Files JNU MSC Entrance Exam Syllabus.pdf (944.2 KB, 0 views)
__________________ Reply to this Question / Ask Another Question

Message:
Options

 Forum Jump StudyChaCha Discussion Forum     General Topics     Exams     MBA / Business Schools     Study Abroad and Immigration Consultancy     Career and Jobs Questions by Topics     Medicine and Health     Management

All times are GMT +6.5. The time now is 12:30 PM.

 -- Default Style -- Default vBulletin -- Lightweight MBA Discussion - Job Discussion - Contact Us - StudyChaCha - Blog Archives - Forum Archive - Partners : Management Forum Top