Gravitation
Kepler’s orbits
Planets sweep out equal areas in equal times: fast near the Sun, slow far away. Their periods follow T² ∝ a³.
$F = \dfrac{GMm}{r^{2}}$
JPC · IPC · BPhO Physics Challenge
See the beauty of physics
Practise by topic, sit timed mock papers and build real understanding — from the orbits of planets to the colours inside a prism.
JPC · IPC · BPhO Physics Challenge
Physics in motion
Every animation on this page is computed live from the real equations — the same ones you will meet in competition.
Waves
Two-source interference
Two coherent sources overlap. Where crest meets crest the waves add up; where crest meets trough they cancel.
$d\sin\theta = m\lambda$
Electricity
Electric field lines
Field lines leave positive charges and end on negative ones. Small test charges drift along them.
$E = \dfrac{kQ}{r^{2}}$
Chaos
The double pendulum
Two double pendulums start only 0.001 rad apart. Within seconds they move completely differently.
$E_k + E_p = \text{constant}$
Optics
Dispersion in a prism
Glass bends violet light more than red, so white light fans out into a spectrum (dense flint glass).
$n_1\sin\theta_1 = n_2\sin\theta_2$
Oscillations
Lissajous figures
Add two perpendicular oscillations. Simple frequency ratios such as 3 : 2 trace closed, symmetric curves.
$x = A\sin(at+\delta),\; y = B\sin(bt)$
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