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Fission & Fusion · reward round

Critical Point

Critical Point

Level 1 — First criticality: Pull the rod, ramp power into the 40–60% band, and hold it for 3 s. k = 1 is your friend; the scram line is not.

Tap the stage to take the shift

One control rod, one live reactor. Rod depth sets k, and the power obeys the true point-kinetics law N′ = (k − 1)N/τ — pull the rod out and the chain multiplies, push it in and the chain starves. Ramp into the green band and hold it steady without kissing the scram line. The hollow dot is your future: where this same integrator says power will be in two seconds at the current rod depth.

Score0best 0 · streak 0× · +1 per second in band
Multiplication k0.995rod 50% in
Power8.0%band 4060% · scram 90% · level 1/5

Score 0 · level 1/5 · Pull the rod, ramp power into the 40–60% band, and hold it for 3 s.

How the physics works

Rod depth sets the multiplication factor k between 0.955 (fully in) and 1.035 (fully out), and every simulation tick advances the power through the exact point-kinetics solution N → N · e^((k−1)Δt/τ) with τ = 0.09 s — the effective generation time that delayed neutrons buy a real reactor. Nothing else touches the power: every wobble on the trace is your own hand on the lever.

The ghost dot runs the identical integrator two seconds into the future at your current rod depth. That is exactly the operator’s problem in a real control room: power is an exponential, so where you are matters less than where your current k is taking you. If the ghost is above the scram line, you are already late.

The later levels borrow two genuine reactor headaches. Xenon-135, a fission product that devours neutrons, builds up and quietly drags k down — the game’s poison term — so holding steady power means continuously withdrawing the rod. And grid load steps force the operator to re-settle at a new power smoothly, without letting the exponential get a head start in either direction.

Game 26 · Advanced Fission & Fusion learning guide

Turn the playthrough into a physics lesson.

Learning objectiveUse control-rod position to keep a simplified reactor model close to criticality while responding to load changes and poisoning.

01

What you will learn

  • A multiplication factor of k = 1 represents steady critical operation.
  • Small departures from criticality can produce rapid power changes.
  • Control rods absorb neutrons and provide negative reactivity.

02

How to play

  1. Start the level and identify the target power band and scram limit.
  2. Move the control rod in to reduce reactivity or out to increase it.
  3. Hold power in the target band and respond smoothly to later disturbances.

03

Quick classroom check

What should happen to neutron population when k is slightly greater than one?

Suitable forUpper-secondary and introductory university physics · reactor control

Continue this topic

Move from play to explanation and exam-style practice.

Teachers can share the page link with a class. The game is free and does not require an account.