ONF Problems and Solutions

The national stage of the Romanian olympiad, the last of three rounds that begin at school and county level. Archived here is the grade 12 theoretical exam; a practical exam is also sat.

2025

Romania

Problems3 problemsProblemsSolutions
  • 1Exotic hydrogen Bohr model*not published
  • 2Compton scattering on moving electron*not published
  • 3Stellar and terrestrial explosions*not published

2024

Romania

Problems3 problemsProblemsSolutions
  • 1Interference maxima from two sources*not published
  • 2Interatomic collisions and spectral lines*not published
  • 3Pion decay and Lorentz transformations*not published

2023

Romania

Problems3 problemsProblemsSolutions
  • 1Tunable LC oscillator circuit*not published
  • 2Quantized hydrogen atom model*not published
  • 3Relativistic relative velocity*not published

2022

Romania

Problems3 problemsProblemsSolutions
  • 1Acoustic membrane oscillator*not published
  • 2Action-reaction in special relativity*not published
  • 3Relativistic particle in central potential*not published

2019

Romania

Problems3 problemsProblemsSolutions
  • 1Polarized light and Pockels cell*not published
  • 2Relativistic force-acceleration relation*not published
  • 3Laser propulsion of a spaceship*not published

2018

Romania

Problems3 problemsProblemsSolutions
  • 1Lummer-Gehrcke Interference Plate*not published
  • 2Product of two Lorentz transformations*not published
  • 3Hydrogen atom models*not published

2017

Romania

Problems3 problemsProblemsSolutions
  • 1Coherence and interferometry*not published
  • 2Relativistic particle ensemble and scattering*not published
  • 3Thomson atom oscillations*not published

2016

Romania

Problems3 problemsProblemsSolutions
  • 1Optical coating, mirror interference, grating*not published
  • 2Davisson-Germer electron diffraction*not published
  • 3Relativistic stellar explosions and acceleration*not published

2015

Romania

Problems3 problemsProblemsSolutions
  • 1Photon emission and Compton scattering*not published
  • 2Oscillating conductor and soap film*not published
  • 3Interstellar stable orbits*not published

2014

Romania

Problems3 problemsProblemsSolutions
  • 1Double-slit diffraction and interference*not published
  • 2Rotating laser spot and photon reflection*not published
  • 3Apparent superluminal motion*not published

2013

Romania

Problems3 problemsProblems
  • 1Young Interference Geometry*not published
  • 2Space elevator tower stress*not published
  • 3Pair annihilation and creation*not published

2012

Romania

Problems3 problemsProblemsSolutions
  • 1Michelson interferometer with moving mirror*not published
  • 2Torsion pendulum in solenoid field*not published
  • 3Twin paradox with heartbeats*not published

2011

Romania

Problems3 problemsProblemsSolutions
  • 1Nonlinear elements and damped charged particle*not published
  • 2Light ray in inhomogeneous medium*not published
  • 3Relativistic reflection and galactic oscillation*not published

2010

Romania

Problems3 problemsProblemsSolutions
  • 1Electromagnetic circuit and particle problems*not published
  • 2Interference device with prism and plate*not published
  • 3Interstellar ship mirrors*not published

2009

Romania

Problems3 problemsProblemsSolutions
  • 1Falling rod and superconducting loop*not published
  • 2Two-source interference and Fizeau flow*not published
  • 3Relativistic spaceship clock synchronization*not published

2008

Romania

Problems3 problemsProblemsSolutions
  • 1Oscillations in gravitational, electric, magnetic fields*not published
  • 2Prism dispersion, interference, diffraction*not published
  • 3Relativistic rocket, aberration, muons*not published

2007

Romania

Problems3 problemsProblemsSolutions
  • 1Pendulum, pulse, and lens shadow*not published
  • 2Lens, prism, and mirror interference*not published
  • 3Spacetime interval and event classification*not published

2006

Romania

Problems3 problemsProblemsSolutions
  • 1Electron focusing and AC circuits*not published
  • 2Planoconvex lens and moving source*not published
  • 3Relativistic kinematics in vector form*not published

2005

Romania

Problems3 problemsProblemsSolutions
  • 1Pendulum with transverse impulse*not published
  • 2Optical system, mirror, Cherenkov ring*not published
  • 3Relativistic harmonic oscillator*not published

2004

Romania

Problems3 problemsProblemsSolutions
  • 1Two spheres on inclined rods*not published
  • 2Prism transmission and firefly images*not published
  • 3Inverse Compton scattering and muon lifetime*not published

2003

Romania

Problems3 problemsProblemsSolutions
  • 1Charged particle oscillating near rings and disks*not published
  • 2Ice semicylinder and mirror interference*not published
  • 3Twin paradox with heartbeats*not published