have the knowledge of classical mechanics, mechanical waves, resonance and geometric optics. Be able to discuss the basics and solve practical exercises. Being able to discuss the sources of uncertainty in an experiment and how to mathematically treat them.
Prerequisiti
mathematics of the high schools with scientific curriculum
Metodi didattici
Lectures and exercise sessions. Lab sessions.
Verifica Apprendimento
Home works for self-evaluation, reports of the lab sessions, written exam with exercises. The access to the written exam is given by the presentation of the written report of one lab session.
1. Description of motion 1.1 1D motion: units in kinematics, position, velocity, acceleration, graphical description; 1.2 description of 2D motions: vectors, meaning and their operations; 1.3 measurement of position, velocity and acceleration and numerical integration of the motion laws. (on the limit of the finite differences to small time steps, on the use of the finite differences)
2. Newton’s law (single “massive point”): 2.1 mass, momentum and the concept of force 2.2 II law and its integration 2.3 types of forces (macroscopic view and microscopic origin)
3. Mechanical work and energy 3.1 the mechanical work and the kinetic energy (a disclaimer about thermodynamics); 3.2 Work of friction forces 3.3 potential energy (elastic and gravitational energy), (non) conservation of energy.
4. Systems of bodies 4.1 center of mass, rigid body and moment of inertia. 4.2 rotational motion, the angular momentum and its conservation; 4.3 Rotational kinetic energy
5. Waves I. 5.1 damped and forced oscillations: resonance; 5.2 from oscillatory motion to a mechanical wave. Description of the propagation of a wave, the wave front, the phase of the local oscillators. 5.3 Period, wavelength, speed, wave vector, types of waves 5.4 Energy of a wave (outline of the wave equation in 1D). 5.5 Transversal, longitudinal waves, sound
6. Waves II. 6.1 refraction and reflection of waves: conservation of energy 6.2 interference of 2 or more coherent waves, coherence length and time 6.3 Stationary waves: analysis of Kundt’s tube and of pipes
7. Light propagation. 7.1 wave front, Huygens principle and light ray; 7.2 reflection and refraction of light, the refraction index, Snell laws 7.3 light polarization, Brewster and critical angles 7.4 prisms
8. lenses and mirrors. 8.1 paraxial lens law: what is an image (conjugate planes) 8.2 composition of lenses, principal planes 8.3 mirrors
9. Diffraction and interference 9.1 diffraction from a single indefinite slit (Fraunhofer) 9.2 interference between discrete sources (Fraunhofer)
Lingua Insegnamento
INGLESE
Altre informazioni
NOTE: The student acquire the access to the written exam by presenting a written report of at least one lab session. There will be a short written exam with exercises followed, if passed, by a short interview on the basic topics treated in the course.
