INPhO Syllabus 2025
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Chapter
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Topics
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Mechanics
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Establishment of the Kinematics of a point mass.
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Newton's Laws and Inertial systems.
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Closed and Open systems Momentum and Energy, Power work.
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Conservation of Energy, Impulse, Conservation of Linear Momentum.
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Elastic forces, The law of Gravitation, Frictional Forces,
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Potential Energy, Work in a Gravitational Field, Centripetal Acceleration, Kepler's Laws.
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Mechanics of Rigid Bodies
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Statics, Torque, Centre of Mass.
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The motion of rigid bodies, Translation, Angular velocity, Rotation, Angular Acceleration, and Conservation of Angular Momentum.
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Identification of motion of a rigid body around the fixed axis, Kinetic energy of a rotating body, Moment of inertia, External and Internal Forces.
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Accelerated reference systems and inertial forces.
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Hydromechanics
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No particular questions will be asked from this topic but students should know the elementary concepts of pressure, the continuity law, and buoyancy.
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Thermodynamics and Molecular Physics
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Internal energy, First and Second laws of Thermodynamics, Work and Heat.
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Model of a perfect gas, Pressure and molecular kinetic energy, Formulation of state of a perfect gas, Avogadro's number, Absolute Temperature.
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The accomplishment of work by an expanding gas limited to isothermal and adiabatic processes.
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The Carnot cycle, Reversible and Irreversible processes, Thermodynamics Efficiency, Entropy (statistical approach), and Boltzmann factor.
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Oscillations and Waves
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Harmonic oscillations and the equation of Harmonic Oscillation.
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Harmonic waves, Transverse and Longitudinal Waves, Propagation of waves, Linear polarization, Sound waves, The Classical Doppler effect.
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Superposition of harmonic waves, Interference, Coherent waves, Standing waves, Beats
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Electric Charge and Electric Field
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Conservation of charge, Coulomb's law
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Electric field, Gauss' Law, Potential
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Dielectric constant and energy density of the electric field, Capacitors, and Capacitance, etc.
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Current and Magnetic Field
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Ohm's law, Internal resistance of source, Kirchhoff's laws, Joule's law, Work Current Resistance, Work and power of direct and alternating currents.
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The magnetic field of a current, Lorentz force, Current in a magnetic field.
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Ampere's law
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Law of electromagnetic induction, Lenz's law, Magnetic Flux, Self-induction, Energy Density of Magnetic field, Inductance, Permeability.
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Voltage and Current (series and parallel) Resonances, Resistors, Inductors and Capacitors in AC circuits, Alternating current.
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Electromagnetic Waves
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Generation by feedback and resonance, Frequency of Oscillations, Oscillatory circuit.
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Wave optics, Diffraction grating, Diffraction from one and two slits, Bragg reflection, Resolving power of a grating.
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Line spectra of gases, and Dispersion and Diffraction spectra
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Electromagnetic waves as transverse waves, Polarizers, Polarization by reflection.
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Resolving Power of Imaging Systems. Black body and Stefan-Boltzmann’s law.
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Quantum Physics
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The impulse of the Photon, and Photoelectric effect and energy
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De Broglie Wavelength and Heisenberg's uncertainty principle.
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Relativity
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Principle of Relativity, Relativistic Doppler effect, Addition of velocities.
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Energy, Momentum, Relation between energy and mass, Conservation of energy and Momentum, Relativistic identification of motion.
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Simple applications of the Bragg equation.
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Energy levels of atoms and molecules (qualitatively), Absorption, Spectrum of hydrogen-like atoms emission.
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Alpha- Beta-Gamma-Decomposition, half-life, and exponential decay, Absorption of radiation, Components of nuclei, Nuclear reactions, Mass defect, Energy levels of nuclei (qualitatively).
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