NCHMCT JEE 2013

National Council for Hotel Management and Catering Technology - NCHMCT, Noida will conduct JEE 2013 for admission into  Full-time regular program in B.Sc. Hospitality & Hotel Administration.

 For clarification, if any, you may contact at Toll Free No.1800 180 3151 on any working day.

•     Send the duly completed Print Version of Online Application Form having Auto Generated Application No. to JEE Cell, National Council for Hotel Management & Catering Technology , A-34, Institutional Area, Sector - 62, NOIDA (UP) - 201309 so as to reach on or before 15 April 2013 . Registration Process will be completed only on receipt of duly completed Print Version of Online Application Form.
•     Admit Card of only those candidates will be uploaded whose application form reaches:JEE Cell, National Council for Hotel Management & Catering Technology , A-34, Institutional Area, Sector - 62, NOIDA (UP) - 201309 by 15 April 2013. 

NCHMCT JEE 2013 Schedule

• Application Form Available Online - 13 December 2012 to  15 April 2013 (Monday)
• Last Date for receipt of filled-in form - 15 April 2013 (Monday)
• Availability of Admit Cards on NCHMCT website - 19th April 2013 (Friday) (1400 hours) onwards

NCHMCT JEE 2013 Exam Dates

• Written Examination (JEE 2013) - 27 April 2013 (Saturday)
• Timings of JEE 2013 - 1000 Hrs to 1300 Hrs (3 hours)

NCHMCT JEE 2013 Exam Result

• Result of JEE on website - 2nd Week of May, 2013

NCHMCT B.Sc Hotel Management Admission Counseling

• Conduct of Counselling - 1st week of June, 2013
• Commencement of Academic Session - 1st August, 2013

Admission shall be based on marks obtained by the candidate in All India (Written Test) JEE-examination to be held on April 27th, 2013. Allotment of Institute shall strictly be in order of merit & rank. No group discussions or personal interviews are involved in this admission process.

NCHMCT JEE 2013 Eligibility Criteria

• A pass in 10+2 system of Senior Secondary examination or its equivalent with English as one of the subjects. Candidate must have passed English as a subject of study (core/elective/functional) in the qualifying examination.
• Those appearing in 10+2 or equivalent examination can also appear in JEE 2013 on provisional basis. Provisional admission will stand cancelled if proof of having passed the qualifying examination (10+2 or its equivalent) is not submitted at the time of counselling or at the time of admission or latest by 30-09-2013.
• The offer of admission is subject to verification of original certificates/documents at the time of admission. If any candidate is found ineligible at a later date even after admission to an Institute, his/her admission will stand cancelled.

QUALIFYING EXAMINATIONS FOR INDIAN STUDENTS

•     Plus two level examination in the 10+2 pattern of Senior Secondary education of any recognized Central/State Board, such as Central Board of Secondary Education and Council for Indian School Certificate Examination or State Boards of Secondary Education.
•     Intermediate or two-year Pre-University Examination conducted by a recognized Board/University.
•     General Certificate Education (GCE) Examination (London/Cambridge/Sri Lanka) at the Advanced (A) level.
•     High School Certificate Examination of the Cambridge University.
•     Any Public School/Board/University Examination in India or in a foreign country recognized by the Association of Indian Universities as equivalent to 10+2 pattern of Senior Secondary education.
•     H.S.C. Vocational Examination.
•     Senior Secondary School Examination conducted by the National Open School with a minimum of five subjects including English as one of the Subjects.

 Age Limit & Reservation of Seats

Age Limit as on 01 July 2013

For candidates from General and OBC categories, upper age limit is 22 years as on 01.07.2013. Candidates born on or after July 01, 1991 are eligible. In the case of Scheduled Caste and Scheduled Tribe candidates, upper age limit is 25 years as on 01.07.2013. That is SC/ST candidates born on or after July 01, 1988 are eligible. Upper age limit for Physically Challenged candidates shall be reckoned as per the category he/she belongs to i.e. General/SC/ST/OBC. Date of birth as recorded in the Secondary Education Board/Pre-University Certificate shall be the authentic proof that will be accepted. At the time of counselling, this certificate must be produced in original as a proof of age, failing which the candidate will not be considered for counselling/admission.

PHYSICAL FITNESS

All qualified candidates will have to submit a physical fitness certificate at the time of admission from a Registered Medical Practitioner in the prescribed format given at APPENDIX - I.

RESERVATION OF SEATS

As per Government of India rules candidates belonging to certain categories are admitted to seats reserved for them. Benefit of reservation shall be given only to those classes/castes/tribes which are in the respective Central List published by the Government of India.

RESERVATION FOR SCHEDULED CASTE/ SCHEDULED TRIBE

For the SC and ST categories, 15% and 7.5% seats, respectively, are reserved in Central and State Government Institutes of Hotel Management. Candidates belonging to SC / ST categories will be required to produce the original caste/tribe certificate issued by a competent authority in the prescribed format during admission. Certificates in any other format will not be accepted. Seats remaining vacant in these categories shall not be filled by candidates belonging to any other category. Appendix II

OBC CANDIDATES

27% seats are reserved for candidates belonging to OBC (Non creamy layer) category in Central Institutes of Hotel Management. Those belonging to the creamy layer of OBC are NOT entitled for reservation. Seats remaining vacant in this category shall be filled through General Category candidates, as per Hon’ble Supreme Court ruling. The OBC candidates (non-creamy layer) will be required to produce original OBC (Non Creamy Layer) caste certificate issued on or after April 01, 2012 by a competent authority in the prescribed format at the time of counselling/Admission. Format is given at Appendix III.

DOCUMENT REQUIRED IN SUPPORT OF CLAIM FOR RESERVATION UNDER SC, ST AND OBC CATEGORIES

The certificate of SC, ST & OBC category is required to be issued by District Magistrate/Additional District Magistrate/Collector/Deputy Commissioner/Additional Deputy Commissioner/Deputy Collector/1st Class Stipendiary Magistrate/City Magistrate/Sub-Divisional Magistrate/Additional Chief Presidency Magistrate/ Presidency Magistrate/Revenue Officer not below the rank of Tehsildar/Sub-Divisional Officer of the area / Administrator/Secretary to Administrator/Development Officer (Lakshadweep Island) where the candidate and/or his/her family normally resides. Certificate issued by any other authority will not be accepted. Candidates are required to produce the original Caste Certificate along with attested copy at the time of Counselling as well as at the time of admission at the Institute.

PHYSICALLY DISABLED (PD)

3% of seats in every category are reserved for Physically Disabled candidates in all Central & State Government Institutes of Hotel Management. For any category of disability (viz. locomotors, visual, dyslexia, speech, and /or hearing) benefit would be given to those who have at least 40% physical impairment.

The percentage of disability of the candidates will be required to be certified by Chief Medical Officer (CMO), Central Govt. / State Govt./ Municipal Corporation run Hospitals only. Such candidates are required to produce the original Medical Certificate both at the time of Counselling and at the time of Admission to the Institute. In case of any dispute in determining the eligibility under PD category, the decision of the Medical Board to be constituted by the Institute would be final.

RESERVATION FOR KASHMIRI MIGRANT (Subject to notification from Ministry of HRD for academic session 2013-2014)

One seat (Supernumerary) in each Central and State Government affiliated IHM is provided for Registered Kashmiri Migrants. Such applicants shall have to qualify the JEE-2013. Candidates registered with different State Govt. should produce proof of registration in original at the time of Counselling and at the time of admission to the Institutes.

NCHMCT JEE 2013 Admit card

•     Check NCHMCT website link: http://www.nchmct.org  or http://applyadmission.net/nchmjee2013   on or after 19 April 2013 (Friday) at 1400 hrs. for downloading Admit Card. Please note that no separate admit card will be issued through post.
•     Registration Process will be completed only on receipt of duly completed Print Version of Online Application Form.
•     Admit Card of only those candidates will be uploaded whose application form reaches: JEE Cell, National Council for Hotel Management & Catering Technology, A-34, Institutional Area, Sector - 62, NOIDA (UP) - 201309 by 15 April 2013 (Monday) .
•     Access individual Admit Card using NCHMCT Application Number (Auto-generated number given on Online Application Form).
•     Take the printout of Admit Card from the above website link. Admit card will have the Roll Number and Test Centre Address. No separate Admit Card will be issued.
•     Affix on the Admit Card two similar photographs already kept in self custody.
•     Get the Photographs on the Admit Card attested by any Gazetted Officer or Head of the Institute / School from where the candidate has passed or is going to pass.

NCHMCT JEE 2013 Online Application

Apply for JEE 2013 Online, Click Here


Reprint NCHMCT JEE 2013 Application Form using Online Application No.

IGNOU Online Program on Biodiversity – Admission 2013

The Indira Gandhi National Open University (IGNOU) Chair for Sustainable Development (CSD) offers admission to online Appreciation Programme on Sustainable Management of Biodiversity for the January 2013 session.

The minimum eligibility criteria to join this program is graduate degree in any discipline.


The post graduate students, researchers, scientists, engineers, medical doctors, stake holders, policy makers, administrators, and other professionals with requisite educational qualifications will be given preference. Course duration is 12 months.

Online application form and other details are available at www.ignouonline.ac.in/save. The number are limited to 50.

The program will be offered on first come first serve basis. The last date of application is 15th January, 2012.

The IGNOU’s Chair for Sustainable Development i.e CSD was established in 2007.
The eminent Agricultural Scientist and Father of green revolution in India, Prof. M.S. Swaminathan is the Honorary Chair for CSD.

 Other Programs Offered by the IGNOU CSD

Diploma Programme

•     Post Graduate Diploma in Sustainability Science

  Appreciation Programme

•     Appreciation Programme on Sustainability Science
•     Appreciation Programme on Sustainable Management of Wetlands
•     Appreciation Programme on Sustainable Management of Ganga A Scientfic Approach

  Leadership Programme

•     Leadership Programme on Nutrition Security and Sustainable Development
•     Leadership Programme on Himalayan Ecosystems

What's New in JAM 2013?

JAM 2013 is admission test for post graduate programs in IITs and IISc Bangalore. How JAM 2013 is different from previous JAMs is depicted here. Also MNIT Allahabad is accepting JAM Score this year.

Hot Features of JAM 2013

•     JAM 2013 includes the Integrated Ph.D. Programmes at the Indian Institute of Science (IISc), Bangalore.
•     JAM2013  includes Admission in M.Sc. Mathematics & Scientific Computing at MNIT, Allahabad.
•     There will be a new JAM test paper on Biological Sciences.
•     No application fee for female candidates.
•     Non programmable calculator is allowed.
•      Entrance to M.Sc.- Ph.D. dual degree programme in Physics at llTK is through the JAM examination followed by an interview at IITK.
•     The interview dates are 10-11 May, 2013.
•     Entrance to Integrated Ph.D. programmes at llSc is through the JAM examination followed by an interview at IISc.
•     The interview dates are 13-16 May, 2013.
•     The written admission tests conducted by llSc for admission to Integrated Ph.D. programmes have been discontinued.
•     Entrance to M.Sc.- Ph.D. dual degree programmes at llTB is through the JAM examination followed by an interview at IITB.
•     The interview dates are 17-19 May, 2013.

JAM 2013 Syllabus Physics

Mathematical Methods: Calculus of single and multiplevariables, partial derivatives, Jacobian, imperfect and perfect differentials, Taylor expansion, Fourier series. Vector algebra, Vector Calculus, Multiple integrals, Divergence theorem, Green’s theorem, Stokes’ theorem. First order equations and linear second order differential equations with constant coefficients. Matrices and determinants, Algebra of complex numbers.


Mechanics and General Properties of Matter: Newton’s laws of motion and applications, Velocity and acceleration in Cartesian, polar and cylindrical coordinate systems, uniformly rotating frame, centrifugal and Coriolis forces, Motion under a central force, Kepler’s laws, Gravitational Law and field, Conservative and non-conservative forces. System of particles, Centre of mass, equation of motion of the CM, conservation of linear and angular momentum, conservation of energy, variable mass systems. Elastic and inelastic collisions. Rigid body motion, fixed axis rotations, rotation and translation, moments of Inertia and products of Inertia, parallel and perpendicular axes theorem. Principal moments and axes. Kinematics of moving fluids, equation of continuity, Euler’s equation, Bernoulli’s theorem.

Oscillations, Waves and Optics: Differential equation for simple harmonic oscillator and its general solution. Super-position of two or more simple harmonic oscillators. Lissajous figures. Damped and forced oscillators, resonance. Wave equation, traveling and standing waves in onedimension. Energy density and energy transmission in waves. Group velocity and phase velocity. Sound waves in media. Doppler Effect. Fermat’s Principle. General theory of image formation. Thick lens, thin lens and lens combinations. Interference of light, optical path retardation. Fraunhofer diffraction. Rayleigh criterion and resolving power. Diffraction gratings. Polarization: linear, circular and elliptic polarization. Double refraction and optical rotation.

Electricity and Magnetism: Coulomb’s law, Gauss’s law. Electric field and potential. Electrostatic boundary conditions, Solution of Laplace’s equation for simple cases. Conductors, capacitors, dielectrics, dielectric polarization, volume and surface charges, electrostatic energy. Biot- Savart law, Ampere’s law, Faraday’s law of electromagnetic induction, Self and mutual inductance. Alternating currents. Simple DC and AC circuits with R, L and C components. Displacement current, Maxwell’s equations and plane electromagnetic waves, Poynting’s theorem, reflection and refraction at a dielectric interface, transmission and reflection coefficients (normal incidence only). Lorentz Force and motion of charged particles in electric and magnetic fields.

Kinetic theory, Thermodynamics: Elements of Kinetic theory of gases. Velocity distribution and Equipartition of energy. Specific heat of Mono-, di- and tri-atomic gases. Ideal gas, van-der-Waals gas and equation of state. Mean free path. Laws of thermodynamics. Zeroth law and concept of thermal equilibrium. First law and its consequences. Isothermal and adiabatic processes. Reversible, irreversible and quasi-static processes. Second law and entropy. Carnot cycle. Maxwell’s thermodynamic relations and simple applications. Thermodynamic potentials and their applications. Phase transitions and Clausius-Clapeyron equation. Ideas of ensembles, Maxwell-Boltzmann, Fermi- Dirac and Bose-Einstein distributions.

Modern Physics: Inertial frames and Galilean invariance. Postulates of special relativity. Lorentz transformations. Length contraction, time dilation. Relativistic velocity addition theorem, mass energy equivalence. Blackbody radiation, photoelectric effect, Compton effect, Bohr’s atomic model, X-rays. Wave-particle duality, Uncertainty principle, the superposition principle, calculation of expectation values, Schrödinger equation and its solution for one, two and three dimensional boxes. Solution of Schrödinger equation for the one dimensional harmonic oscillator. Reflection and transmission at a step potential, Pauli exclusion principle. Structure of atomic nucleus, mass and binding energy. Radioactivity and its applications. Laws of radioactive decay.

Solid State Physics, Devices and Electronics: Crystal structure, Bravais lattices and basis. Miller indices. X-ray diffraction and Bragg’s law; Intrinsic and extrinsic semiconductors, variation of resistivity with temperature. Fermi level. p-n junction diode, I-V characteristics, Zener diode and its applications, BJT: characteristics in CB, CE, CC modes. Single stage amplifier, two stage R-C coupled amplifiers. Simple Oscillators: Barkhausen condition, sinusoidal oscillators. OPAMP and applications: Inverting and non-inverting amplifier. Boolean algebra: Binary number systems; conversion from one system to another system; binary addition and subtraction. Logic Gates AND,

JAM 2013 Syllabus Mathematical Statistics

The Mathematical Statistics (MS) test paper comprisesof Mathematics (40% weightage) and Statistics (60%weightage).

Mathematics:

Sequences and Series: Convergence of sequences of real numbers, Comparison, root and ratio tests for convergence of series of real numbers.

Differential Calculus: Limits, continuity and differentiability of functions of one and two variables. Rolle's theorem, mean value theorems, Taylor's theorem, indeterminate forms, maxima and minima of functions of one and two variables.


Integral Calculus: Fundamental theorems of integral calculus. Double and triple integrals, applications of definite integrals, arc lengths, areas and volumes. Matrices: Rank, inverse of a matrix. systems of linear equations. Linear transformations, eigenvalues and eigenvectors. Cayley-Hamilton theorem, symmetric, skewsymmetric and orthogonal matrices.

Differential Equations: Ordinary differential equations of the first order of the form y' = f(x,y). Linear differential equations of the second order with constant coefficients.

Statistics Probability: Axiomatic definition of probability and properties, conditional probability, multiplication rule. Theorem of total probability. Bayes' theorem and independence of events.

Random Variables: Probability mass function, probability density function and cumulative distribution functions, distribution of a function of a random variable. Mathematical expectation, moments and moment generating function. Chebyshev's inequality.

Standard Distributions: Binomial, negative binomial, geometric, Poisson, hypergeometric, uniform, exponential, gamma, beta and normal distributions. Poisson and normal approximations of a binomial distribution.

Joint Distributions: Joint, marginal and conditional distributions. Distribution of functions of random variables. Product moments, correlation, simple linear regression. Independence of random variables.

Sampling distributions: Chi-square, t and F distributions, and their properties.

Limit Theorems: Weak law of large numbers. Central limit theorem (i.i.d.with finite variance case only).

Estimation: Unbiasedness, consistency and efficiency of estimators, method of moments and method of maximum likelihood. Sufficiency, factorization theorem. Completeness, Rao-Blackwell and Lehmann-Scheffe theorems, uniformly minimum variance unbiased estimators. Rao-Cramer inequality. Confidence intervals for the parameters of univariate normal, two independent normal, and one parameter exponential distributions.

Testing of Hypotheses: Basic concepts, applications of Neyman-Pearson Lemma for testing simple and composite hypotheses. Likelihood ratio tests for parameters of univariate normal distribution.

JAM 2013 Syllabus Mathematics

SEQUENCES, SERIES AND DIFFERENTIAL CALCULUS:

Sequences and Series of real numbers: Sequences and series of real numbers. Convergent and divergent sequences, bounded and monotone sequences, Convergence criteria for sequences of real numbers, Cauchy sequences, absolute and conditional convergence; Tests of convergence for series of positive terms - comparison test, ratio test, root test, Leibnitz test for convergence of alternating series.

Functions of one variable: limit, continuity, differentiation, Rolle's Theorem, Mean value theorem. Taylor's theorem. Maxima and minima.


Functions of two real variable: limit, continuity, partial derivatives, differentiability, maxima and minima. Method of Lagrange multipliers, Homogeneous functions including Euler's theorem.

Integral Calculus: Integration as the inverse process of differentiation, definite integrals and their properties, Fundamental theorem of integral calculus. Double and triple integrals, change of order of integration. Calculating surface areas and volumes using double integrals and applications. Calculating volumes using triple integrals and applications.

Differential Equations: Ordinary differential equations of the first order of the form y'=f(x,y). Bernoulli's equation, exact differential equations, integrating factor, Orthogonal trajectories, Homogeneous differential equations-separable solutions, Linear differential equations of second and higher order with constant coefficients, method of variation of parameters. Cauchy- Euler equation.

Vector Calculus: Scalar and vector fields, gradient, divergence, curl and Laplacian. Scalar line integrals and vector line integrals, scalar surface integrals and vector surface integrals, Green's, Stokes and Gauss theorems and their applications.

Group Theory: Groups, subgroups, Abelian groups, non-abelian groups, cyclic groups, permutation groups; Normal subgroups, Lagrange's Theorem for finite groups, group homomorphisms and basic concepts of quotient groups (only group theory).

Linear Algebra: Vector spaces, Linear dependence of vectors, basis, dimension, linear transformations, matrix representation with respect to an ordered basis, Range space and null space, rank-nullity theorem; Rank and inverse of a matrix, determinant, solutions of systems of linear equations, consistency conditions. Eigenvalues and eigenvectors. Cayley-Hamilton theorem. Symmetric, skewsymmetric, hermitian, skew-hermitian, orthogonal and unitary matrices.

Real Analysis: Interior points, limit points, open sets, closed sets, bounded sets, connected sets, compact sets; completeness of R, Power series (of real variable) including Taylor's and Maclaurin's, domain of convergence, term-wise differentiation and integration of power series.

JAM 2013 Syllabus Geophysics

There will be Three Sections in the Geophysics (GP)test paper, namely, Geology, Mathematics and Physics, each with a weightage of 50%. A candidate has to attempt any Two Sections.

The syllabi for the Geology, Mathematics and Physics Sections of the Geophysics (GP) test paper are given below:

GEOLOGY SECTION

The Planet Earth: Origin of the Solar System and the Earth; Geosphere and the composition of the earth; Shape and size of the Earth; Earth-moon system; Formation of continents and oceans; dating the rocks and age of the Earth; Energy in the earth system; Volcanism and volcanic landforms; Interior of earth; Earthquakes. Earth's magnetism and gravity, Elements of plate tectonics.


Geomorphology: Weathering and erosion; transportation and deposition due to wind, ice, river, sea, and resulting landforms, structurally controlled landforms.

Structural Geology: Concept of stratum; Contour; Outcrop patterns; Maps and cross sections; Dip and strike; classification and origin of folds, faults, joints, foliation and lineation, unconformities; shear zones.

Mineralogy: Symmetry and forms in common crystal classes; physical properties of minerals; Isomorphism and polymorphism, Classification of minerals; Structure of silicates; Mineralogy of common rock-forming minerals; Mode of occurrence of minerals in rock. Transmitted polarised light microscopy and optical properties of uniaxial and biaxial minerals.

Palaeontology: Major steps in the evolution of life forms; Fossils; their mode of preservation and utility; Morphological characters, major evolutionary trends and ages of important groups of animals - Brachiopoda, Mollusca, Trilobita, Graptolitoidea, Anthozoa, Echinodermata;

Stratigraphy: Principles of Stratigraphy, Geological Time Scale and ages of major stratigraphic units of India.

Petrology: Definition and classification of rocks; Igneous rock-forms of igneous bodies; Crystallisation from magma; classification, association and genesis of igneous rocks; Sedimentary rocks-classification, texture and structure; Metamorphic rocks-Classification, facies, texture and structure.

Economic Geology: Physical properties of common ore minerals, General processes of formation of mineral deposits; Mode of occurrence of important metallic and nonmetallic deposits in India; Coal, petroleum and ground water occurrences in India.

MATHEMATICS SECTION

Sequences, Series and Differential Calculus: Sequences of real numbers, Convergent sequences and series. Mean Value Theorem, Taylor's theorem, Maxima and Minima, functions of several variables.

Integral Calculus: Fundamental theorem of calculus, Integration, Double and Triple integrals, change of order of integration, Surface Areas and Volumes.

Differential Equations: Linear and Non-linear ODE, existence and uniqueness (without proof), Linear Differential Equations of second order with constant coefficients.

Vector Calculus: Gradient, Divergence, Curl, Laplacian, Green's, Stokes and Gauss theorems and their Applications.

Linear Algebra: System of Linear Equations, Matrices, Rank, Determinant, Inverse, eigenvalues and eigenvectros. Dimension, Linear transformations.

Probability: Probability spaces, Conditional Probability, Independence, Bayes Theorem, Univariate and Bivariate Random Variables, Moment Generating and Characteristic Functions, Binomial, Poisson and Normal distributions.

Statistics: Sampling Distributions of Sample Mean and Variance, Exact Sampling Distribution (Normal Population), Simple and Composite hypothesis, Best critical region of a Test, Neyman-Pearson theorem, Likelihood Ratio Testing and its Application to Normal population, comparison of normal populations, large sample theory of test of hypothesis, approximate test on the parameter of a binomial population, comparison of two binomial populations.

Numerical Analysis: Difference table, symbolic operators, differences of a factorial, representation of a polynomial by factorials. Forward, backward and central difference approximation formulae. Simpson's one-third rule, Newton- Raphson method for finding the solution of f(x)=0.

PHYSICS SECTION

Mechanics and General Properties of Matter: Newton's laws of motion and applications, Kepler's laws, Gravitational Law and field, Conservative and non-conservative forces. System of particles, Centre of mass (CM), equation of motion of the CM, conservation of linear and angular momentum, conservation of energy. Elastic and inelastic collisions. Rigid body motion, fixed axis rotations, rotation and translation, moments of Inertia and products of Inertia. Principal moments and axes. Elasticity, Hooke’s law and elastic constants of isotropic solid, stress energy. Kinematics of moving fluids, equation of continuity, Euler's equation, Bernoulli's theorem, viscous fluids, surface tension and surface energy, capillarity.

Oscillations, Waves and Optics: Differential equation for simple harmonic oscillator and its general solution. Superposition of two or more simple harmonic oscillators. Lissajous figures. Damped and forced oscillators, resonance. Wave equation, travelling and standing waves in one-dimension. Energy density and energy transmission in waves. Group velocity and phase velocity. Sound waves in media. Doppler Effect. Fermat's Principle. General theory of image formation. Thick lens, thin lens and lens combinations. Interference of light, optical path retardation. Fraunhofer diffraction. Rayleigh criterion and resolving power. Diffraction gratings. Polarization: linear, circular and elliptic polarization. Double refraction and optical rotation.

Electricity and Magnetism: Coulomb's law, Gauss's law. Concept of Potential, Field and Boundary Conditions, Solution of Laplace's equation for simple cases. Conductors, capacitors, dielectrics, dielectric polarization, volume and surface charges, electrostatic energy. Magnetic susceptibility, bar magnet, Earth's magnetic field and its elements. Biot-Savart law, Ampere's law, Lenz's law, Faraday's law of electromagnetic induction, self and mutual inductance. Alternating currents. Simple DC and AC circuits with R, L and C components. Displacement current, Maxwell's equations and plane electromagnetic waves. Lorentz Force and motion of charged particles in electric and magnetic fields.

Kinetic theory, Thermodynamics: Elements of Kinetic theory of gases. Velocity distribution and Equipartition of energy. Specific heat of Mono-, di- and tri-atomic gases. Ideal gas, Van-der-Waals gas and equation of state. Mean free path . Laws of thermodynamics. Zeroeth law and concept of thermal equilibrium. First law of thermodynamics and its consequences. Isothermal and adiabatic processes. Reversible, irreversible and quasi-static processes. Second law of thermodynamics. Carnot cycle.

Modern Physics: Inertial frames and Galilean invariance. Postulates of special relativity. Lorentz transformations. Length contraction, time dilation. Relativistic velocity addition theorem, mass energy equivalence. Blackbody radiation, photoelectric effect, Bohr's atomic model, X-rays. Wave-particle duality, Uncertainty principle, Pauli Exclusion Principle, Structure of atomic nucleus, mass and binding energy. Radioactivity and its applications. Laws of radioactive decay and half life, Fission and fusion.

Solid State Physics and Electronics: Crystal structure, Bravais lattices and basis. Miller indices. X-ray diffraction and Bragg's law, Origin of energy bands. Concept of holes. Intrinsic and extrinsic semiconductors. p-n junctions, transistors. Amplifier circuits with transistors.