TwPhO TST Problems and Solutions
Taiwan's selection for the IPhO team, run in two written rounds. Around 3,500 students sit the first; some 300 go through to the second, from which about 30 are chosen. Archived here is the second round.
All Mechanics Electromagnetism Thermodynamics Waves & Optics Modern & Quantum Relativity
Cards List
Kinematics Dynamics Rigid body Gravitation Electrostatics Circuits Magnetostatics Induction Em waves Heat transfer Gas laws Entropy Phase transitions Statistical mechanics Oscillations Wave propagation Interference Diffraction Geometrical optics Solid state
2026
Taiwan
1 Problem 1 not published 2 Problem 2 not published 3 Problem 3 not published 4 Problem 4 not published 5 Problem 5 not published 6 Problem 6 not published
2025
Taiwan
1 Two-body scattering deflection* not published 2 Inclined plane with oscillating mass* not published 3 Charged rod and capacitor oscillations* not published 4 Inductance of two parallel wires* not published 5 Fin rod temperature profile* not published 6 Acousto-optic grating diffraction* not published
2024
Taiwan
1 Projectile from rotating platform* not published 2 Two charged particles motion* not published 3 Atmospheric lapse rate* not published 4 Interference in thin plate* not published 5 Rotating rod with friction* not published 6 Charged particle in magnetic field* not published
2023
Taiwan
1 Problem 1 not published 2 Rocket with air resistance* not published 3 Gas process ratios and work* not published 4 Ion pump and elastic membrane* not published 5 Image charges in wedge* not published 6 Vibrating rod with attached masses* not published
2022
Taiwan
1 Relativistic perihelion precession* not published 2 Charged line and conducting cylinder* not published 3 RLC circuit with varying capacitance* not published 4 Atmospheric lapse rate* not published 5 Falling loop in magnetic field* not published 6 Friction on a curved trajectory* not published
2021
Taiwan
1 Rotating frame and pressure centers* not published 2 Rolling sphere on a track* not published 3 Damped em wave in conductor* not published 4 Ideal gas cyclic process* not published 5 Inductor resistance from decay* not published 6 Induced current heating a wire* not published
2020
Taiwan
1 Otto and Atkinson cycle efficiency* not published 2 Interference fringes from thin plate* not published 3 Charges near dielectric interface* not published 4 Spinning ball collision with wall* not published 5 Charged ring in magnetic field* not published 6 Mechanical impedance of microphone* not published
2019
Taiwan
1 Dry ice heat engine cycle* not published 2 Laser cavity resonances and pulses* not published 3 Electron flow between plates* not published 4 Falling rod with friction* not published 5 Charged particle in central field* not published 6 Lcr resonance and acoustic coupling* not published
2018
Taiwan
1 Carnot engine with finite reservoirs* not published 2 Grating equation and resolution* not published 3 Charged particle in magnetic field* not published 4 Rolling ball collision with cushion* not published 5 Charged conducting sheet discharge* not published 6 Mutual inductance power transfer* not published
2017
Taiwan
1 Two-chamber gas heating* not published 2 Generalized Snell's law with phase gradient* not published 3 Magnetic force resonance shift* not published 4 Sphere sliding to rolling* not published 5 Mutual inductance and induced currents* not published 6 Gunn oscillator circuit analysis* not published
2016
Taiwan
1 Semicylinder rocking on table* not published 2 Two blocks with spring collision* not published 3 Charged particle in layered fields* not published 4 Poynting vector in cylinders* not published 5 Ray path in graded atmosphere* not published 6 Heat capacity of a solid* not published
Files collected from TwPhO TST Website . Second selection round. Papers are in Chinese, with official marking schemes.
Titles marked * are ours, for problems the exam left unnamed.
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