## Trinity College Dublin, The University of Dublin

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# Physics for Theoretical Physics - PY1T10

Michaelmas Term – lectures, practical laboratory, online & small group tutorials – 10 credits
(M Möbius, J Lunney, L Bradley)

## Learning Outcomes

On successful completion of this module, students should be able to:

• Express relativistic effects concerning the motion of a body, as observed in different inertial reference frames
• Describe wave motion and relate it to basic phenomena in light and sound
• Understand sources of errors in measurements and calculate their propagation
• Prepare a brief report, including error analysis, on a simple physical experiment

## Assessment

• Examination (written paper) - 60%
• Laboratory practical work - 30%
• Online tutorials - 10%

## Syllabus

### What is Physics?

Lecturers: Professors M. Möbius
Duration: Michaelmas Term 3 lectures
Description: An introduction to the School of Physics, the JF Physics course and statistical methods.

### Special Relativity

Lecturers: Professor J Lunney
Duration:Michaelmas Term 15 lectures
Description: Galilean transformations, Michelson-Morley experiment. Lorentz transformations, time dilation, length contraction, simultaneity. Doppler effect. Transformation of velocities and forces. Relativistic dynamics. Pair creation, fission, fusion. Collisions. Compton effect. Relativity and electromagnetism.

### Waves and Optics I

Lecturers: Professor L. Bradley
Duration: Michaelmas Term 20 lectures
Description: Resonance, harmonic oscillators, SHM, frequency. Waves: standing, travelling, wavelength, wave velocity. Sound: music, vibrations of a string and of a column of air, harmonics, Doppler effect. Light: Rayleigh scattering, refraction, reflection, dispersion, index of refraction, polarization, polarized reflection, Malus' law, birefringence, total internal reflection, colour vision, gas discharges, lasers. Optics: refracting optics, lenses, real images, focus, focal length, f-numbers, lens equation, cameras, reflecting optics, curved mirrors, telescopes. Interference: superposition of waves, beating, 2 beam interference, anti-reflection coating. Diffraction: Huygen's principle, diffraction by a slit and grating, X-ray diffraction.

### Statistics

Lecturers: Professors M. Möbius
Duration: Michaelmas Term 10 lectures
Description: Systematic and random errors. Discrete and continuous distributions such as binomial, Poisson, Gaussian and Lorentzian. Moments of a distribution. Histograms and probability densities. Estimation of mean and standard deviation in a measurement. Error propagation and transformation of variables in probability distributions. Linear regression analysis, method of least squares, goodness of fit (Chi squared) and plotting techniques. Introduction to programming basics in Python.