Allahabad University (AU) M.Sc. Physics 2026-27

All Allahabad University courses / PG courses

M.Sc. Physics at Allahabad University has 180 seats for 2026-27 across the main campus and 2 constituent colleges. Admission is through PGAT-I of PGAT 2026, test code 18.

Test

PGAT-I of PGAT 2026

Course code

18

Seats

180

Test mode

Online and offline

Registration fee

Rs. 1,000; Rs. 500 for SC, ST and PwD

Non-subject applicants

Not allowed

M.Sc. Physics seats 2026-27, college-wise

15% of the seats are reserved for SC, 7.5% for ST, 27% for OBC and 10% for EWS candidates; 5% are for persons with disabilities. Reservation rules.

M.Sc. Physics eligibility

A three-year bachelor's degree (B.A., B.Sc. or B.Com., pass or honours) from the University of Allahabad or a university recognised by the UGC. Final-year students can apply.

The subject must have been one of the candidate's subjects in the final year of B.Sc., or the main subject of B.Sc. (Honours).

PGAT 2026 syllabus for M.Sc. Physics

• Thermodynamic equilibrium, Zeroth law, first law, second law, reversible process, Carnot's theorem, entropy and disorder; thermodynamic relations and applications. Clausius-Clayperon equation, phase transitions of first and second order.
• Radiation as e.m. wave, Kirchhoffs law. black body radiation, pressure and energy density, Stefan- Boltzmann law, Planck’s law and its limiting cases. Phase space, ensembles, equilibrium and fluctuation, entropy and probability, entropy of a perfect gas, microcanonical, canonical and grand canonical ensembles, partition function, Boltzmann distribution, B.E. and FD. statistics, simple applications.
• Gauss’ Law, Blot-Savart law, Vector Potential, Faraday law. Amperes circuital law, generalization of Ampere’s law by Maxwell, Maxwell’s equations and its solution in free space and simple dielectrics. Poynting theorem, plane wave propagation in metals and plasmas.
• Interference Diffraction Special theory of Relativity Uncertainty principle Linear Harmonic oscillator, Angular momentum, commutation relations, Ladder operators’ eigenvalues of I, and L Z, Parity operator Hydrogen atom problem, Pauli spin matrices. Time-independent non-degenerate perturbation theory and its simple applications, Identical particles, symmetric and anti-symmetric wave function.
• Crystalline state of solids, unit cell, bravais lattice, reciprocal lattice, interatomic forces, vibrations of monoatomic and diatomic chains, phonons.
• Free electron theory of metals, electrons in periodic potential, Bloch waves, semiconductors, p-n, junction, diode, rectification, ripple factor, Transistor action and characteristics, C.E. amplifiers and its frequency response. Logic gates, Boolean algebra, Combination logic, Integrated Circuits. Solar Cell, Amplitude modulation.
• Laser: Stimulated and spontaneous emission. Einstein’s coefficients, relative contribution of stimulated and spontaneous emissions, population inversion, Laser emission, characteristic of Laser light (including temporal), Amplification in an inverted medium, threshold condition for lasing.
• Holography: Basic principles of Holography, Recording and Viewing of a hologram. Thick Hologram, Multiplex hologram, White light reflection holograms.
• Optical Instruments: Introduction of multiple beam interferometry, Fabry-perot interferometer and etalon (resolving power and determination of wavelengths), Resolving power of Lumer Gehreck plate, Grating and prism spectrograph for visible, IR and UV regions.
• Atomic Physics: Bohr-Sommerfield Model (Historical developments), Bohr model and the spectra of hydrogenic atoms, Critical resonance and the Ionisation potentials. Frank-Hertz experiment. Characteristic and continuous X-rays, Moseley’s law, Bragg’s law. Space Quantization, Vector atom model and Quantum Numbers, Magnetic moment of the electrons and magneton, Larmor Precession, Electron Spin, Stem-Gerlach experiment, Qualitative concept of various quantum number of an electron, Pauli’s exclusion principle anelectronic configuration of atoms.
• Magnetic Properties of Materials:
• Diamagnetism, Larmor’s theory and diamagnetic susceptibility. Paramagnetism, Langevin’s theory and Curie-Weiss Law, Qualitative discussion of Ferromagnetism and antiferromagnetism.
• Quantum Concepts:
• Particle nature of radiation, Photoelectric effect and Compton effect. Wave nature of particles. De- Broglie Waves, Davisson-Germer experiment, Wave Packets, Phase velocity and group velocity, Heisenberg’s Uncertainty Principle and applications, One dimensional Schrodinger’s Wave Equation and concept of probabilities, amplitude, application to onedimensional potential step and barrier. Quantum Mechanical Tunneling.
• Nuclear Physics:
• Natural radioactivity, Laws of radioactive disintegration, radioactive series, Detection of radiation, GM Counter and Bubble Chamber, Scintillation Counter.
• Kinematics of nuclear reactions, artificial nuclear transmutation, discovery of neutron, radioactive tracers, transuranic elements. Cyclotron Constitution of nucleus, Binding energy, liquid drop model and the semiempirical mass formula, Elementary theory of • -decay, • - decay and discovery of neutrino Magic numbers and the shell model, exchange forces in nuclei and Yukawa theory (qualitative), Fission and fusion, Nuclear reactors (qualitative), Thermonuclear energy. Classification of Elementary Particles, Leptons, mesons and bayrons and their quantum numbers, Conservation Laws.

Test pattern

150 multiple choice questions for 300 marks in two hours, with no negative marking. The first 50 questions (2 marks each) are on general awareness, English, Hindi, reasoning and mental ability. The other 100 are on the two final-year subjects of graduation, 50 on each at 4 marks; the score in this subject is the common part plus its own 50 questions.

5% of the marks is cut for each gap year after graduation, up to 15%.

More PG courses at Allahabad University

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Questions about M.Sc. Physics