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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.
Fission & Fusion · reward round
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.
Score 0 · level 1/5 · Pull the rod, ramp power into the 40–60% band, and hold it for 3 s.
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
Learning objectiveUse control-rod position to keep a simplified reactor model close to criticality while responding to load changes and poisoning.
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What should happen to neutron population when k is slightly greater than one?
Suitable forUpper-secondary and introductory university physics · reactor control
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