Muon Survival Calculator
Solve range = γ·v·τ (τ = 2.2 µs) step by step — free muon survival calculator with worked examples, real-world defaults and instant answers.
Cosmic-ray muon survival — relativity's classic proof.
About Muon Survival Calculator
The Muon Survival Calculator solves range = γ·v·τ (τ = 2.2 µs) for you with the full working shown — every substitution, every unit, every step, exactly the way a good teacher writes it on the board. Muons made by cosmic rays 15 km up should die after 0.66 km — yet detectors at sea level count them in droves, because at 0.998c their 2.2 µs stretches 16-fold.
How to use Muon Survival Calculator
- 1Enter your known values in the input fields (sensible real-world defaults are pre-filled).
- 2The tool substitutes them into range = γ·v·τ (τ = 2.2 µs) and recomputes live.
- 3Read the answer in the result box, then expand the step-by-step solution to see the full working.
- 4Copy the method into your notebook, or change inputs to explore how the result behaves.
Why use Muon Survival Calculator?
- ✓Solves range = γ·v·τ (τ = 2.2 µs) instantly as you type — no submit button, no waiting
- ✓Step-by-step solution shown for every calculation, not just the final answer
- ✓Realistic example values pre-loaded so you can see a worked example immediately
- ✓100% free, no sign-up, runs entirely in your browser — your numbers never leave your device
- ✓Mobile-friendly and fast enough to use mid-homework or mid-lesson
Frequently asked questions
What formula does the Muon Survival Calculator use?+
It uses range = γ·v·τ (τ = 2.2 µs). The steps section shows the formula with your actual numbers substituted, so you can follow (and verify) every stage of the calculation rather than trusting a black box.
What should I keep in mind when using this calculator?+
Muons made by cosmic rays 15 km up should die after 0.66 km — yet detectors at sea level count them in droves, because at 0.998c their 2.2 µs stretches 16-fold. Their abundance at the ground is time dilation made tangible; a Geiger counter on a mountain hike is quietly verifying Einstein.
Is the Muon Survival Calculator free to use?+
Completely free, with no sign-up or limits. All computation happens client-side in your browser, so it is fast, private, and works even on slow connections once the page has loaded.
Can I use this for homework, teaching or exam prep?+
That is exactly what it is built for. The step-by-step working mirrors how solutions are presented in class, so you can check homework, build worked examples for teaching, or practise method recall before exams.
Embed Muon Survival Calculator on your website
Want Muon Survival Calculatoron your own site? Paste this snippet into any HTML page — it's free, with no API key or sign-up. The tool loads in an iframe and keeps working exactly as it does here.
<iframe src="https://tooljolt.com/tools/muon-survival-calculator" width="100%" height="640" style="border:1px solid #e5e7eb;border-radius:12px;max-width:680px" title="Muon Survival Calculator — ToolJolt" loading="lazy"></iframe>Related Science tools
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