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Radioactivity Decay

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Edexcel IAL Physics — Nuclear Physics

Radioactivity Decay

Unstable nuclei randomly spit out alpha, beta, or gamma radiation to become more stable — and even though you can never predict when one nucleus will decay, huge numbers of them decay in a wonderfully predictable, exponential pattern described by the decay constant and half-life.

Quick Overview

  • Background radiation is always around us — from natural sources (radon gas, cosmic rays, food) and man-made sources (medical, nuclear waste, fallout). You must subtract it to get the corrected count rate.
  • Alpha (α) = 2p + 2n (helium nucleus), Beta (β⁻) = high-energy electron, Gamma (γ) = electromagnetic wave — each has different mass, charge, penetration and ionising power.
  • Nuclear decay equations must balance — mass number (top) and atomic/proton number (bottom) balance on both sides, just like a chemical equation.
  • Core Practical 15 investigates how lead thickness absorbs gamma radiation — count rate falls until it reaches background level.
  • Radioactive decay is random (can't predict which nucleus decays when) and spontaneous (unaffected by temperature, pressure, chemical conditions).
  • Activity A = ΔN/Δt = −λN — the decay constant λ is the probability per second that one nucleus decays.
  • Decay follows an exponential pattern: N = N₀e^(−λt), and the number of nuclei never actually reaches zero.
  • Half-life t½ is the time for half the nuclei (and half the activity) to decay: t½ = ln2 / λ.

1. Background Radiation

What is it, and where does it come from?

Background radiation is low-level radiation from environmental sources that is always present around us, whether or not you're doing an experiment. It's measured in counts per second, in a unit called the Becquerel (Bq).

Think of it like background noise in a room — even in "silence," there's always a faint hum. In radioactivity, that hum comes from two broad categories of sources:

Natural SourcesMan-Made Sources
Radon gas from rocks & soil (biggest contributor — around 50%!)Medical sources (X-rays, CT scans, radiotherapy)
Cosmic rays from the Sun/space (produce gamma rays when they hit air molecules)Nuclear waste
Carbon-14 in all organic materialNuclear weapon fallout
Radioactive material in food & drink (e.g. potassium-40 in bananas)Nuclear accidents (e.g. Chernobyl)
Why it matters Whenever you measure radiation from a source in an experiment, some of what your detector picks up is just background radiation, not your source. So you always need to subtract it out.

Corrected Count Rate

This is the trick examiners love to test: to find the true activity of a source, you measure the count rate with no source present (this is your background rate), then measure the count rate with the source present, and subtract:

Corrected count rate = (count rate with source) − (background count rate)

How to spot it on a graph: if a count-rate-vs-time (or vs-distance) graph seems to level off at some value above zero instead of dropping to zero, that flat value is the background radiation — not evidence that the source is still emitting strongly!

Practice Question
Practice Question

2. Alpha, Beta & Gamma Radiation

Why do nuclei emit radiation at all?

unstable radioactive decay

Particle Composition Mass (u)
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Also in the full note
  • 3. Nuclear Decay Equations
  • 4. Core Practical 15: Investigating Gamma Radiation Absorption
  • 5. The Random Nature of Nuclear Decay
  • 6. Activity, the Decay Constant & Exponential Decay
  • What to Memorise
  • Concepts Checklist
  • Exam Tips & Common Mistakes
  • The Three Types, Side by Side
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