Exam Overview
• The test consists of  100 five-choice questions. Some of which are grouped in sets and based on such set material like graphs, experimental data and descriptions of any physical situation, diagram.
• The aim of the test is to determine the extent of the student's grasp on fundamental principles and their ability to apply these principles in the solution of problems.
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### SYLLABUS-

• Classical Mechanics - 20%
Kinematics, Newton's laws, work and energy, oscillatory motion, rotational motion about a fixed axis, dynamics of systems of particles, central forces and celestial mechanics, three-dimensional particle dynamics, Lagrangian and Hamiltonian formalism, noninertial reference frames, elementary topics in fluid dynamics.
• Electromagnetism - 18%
Electrostatics, currents and DC circuits, magnetic fields in free space, Lorentz force, induction, Maxwell's equations and their applications, electromagnetic waves, AC circuits, magnetic and electric fields in matter.
• Optics and Wave Phenomena - 9%
Wave properties, superposition, interference, diffraction, geometrical optics, polarization, Doppler effect.
• Thermodynamics and Statistical Physics - 10%
Laws of thermodynamics, thermodynamic processes, equations of state, ideal gases, kinetic theory, ensembles, statistical concepts and calculation of thermodynamic quantities, thermal expansion of heat transfer.
• Quantum Mechanics - 12%
Fundamental concepts, solutions of the Schrodinger equation (including square wells, oscillators, and hydrogenic atoms), spin, angular momentum, wave function symmetry, elementary perturbation theory.
• Atomic Physics - 10%
Properties of electrons, Bohr model, energy quantization, atomic structure, atomic spectra, slection rules, black-body radiation, x-rays, atoms in electric and magnetic fields.
• Special Relativity - 6%
Introductory concepts, time dilation, length contraction, simultaneity, energy and momentum, four-vectors and Lorentz transformation, velocity addition.
• Laboratory Methods - 6%
Data and error analysis, electronics, instrumentation, radiation detection, counting statistics, interaction of charged particles with matter, lasers and optical interferometers, dimensional analysis, fundamental applications of probability and statistics.
• Specialized topics — 9%
Nuclear and Particle physics (e.g., nuclear properties, radioactive decay, fission and fusion, reactions, fundamental properties of elementary particles), Condensed Matter (e.g., crystal structure, x-ray diffraction, thermal properties, electron theory of metals, semiconductors, superconductors), Miscellaneous (e.g., astrophysics, mathematical methods, computer applications)

MATHEMATICAL PRELIMINARIES ONE SHOULD HAVE –
Such mathematical methods include single and multivariate calculus, coordinate systems (rectangular, cylindrical and spherical), vector algebra and vector differential operators, matrices and determinants, boundary value problems, Fourier series, partial differential equations, and functions of complex variables.

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