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Unit 15 · Topic 15.8 · Modern Physics

Types of Radioactive Decay

Alpha, beta-minus, beta-plus and gamma decay are distinguished by the emitted particles and by how proton number, nucleon number, charge and lepton number are conserved; the specific isotope’s decay mode or half-life is not something to memorize.

15.8Modern physicsevidence → model → representation → conservation

Types of Radioactive Decay: quick answer

Alpha, beta-minus, beta-plus and gamma decay are distinguished by the emitted particles and by how proton number, nucleon number, charge and lepton number are conserved; the specific isotope’s decay mode or half-life is not something to memorize. Topic 15.8 is nuclear bookkeeping, not the exponential-decay lesson. First identify what is emitted, then update A and Z and check charge/lepton accounting. Population half-life and decay-constant calculations belong to Topic 15.7.

Scope boundary

Do not require memorization of which specific isotope uses which decay mode or its half-life. Neutron emission and electron capture are outside the course framework; detailed neutrino types and weak-force mechanisms are also outside scope.

Mastery targets

What you should be able to explain and do

Use these as closed-note retrieval prompts before the worked reasoning.

1

Distinguish alpha, beta-minus, beta-plus and gamma decay from the emitted products.

2

Predict how A and Z change for each included decay type.

3

Balance charge, nucleon number and lepton number in beta-decay equations.

4

Explain why gamma decay changes nuclear energy but not element/isotope identity.

Same-page definitions

Terms you need before using the model

Important vocabulary is defined here so the lesson does not depend on an unexplained internal-link jump.

alpha particle

a helium-4 nucleus containing two protons and two neutrons with charge +2e

beta-minus decay

a process in which a neutron changes to a proton while an electron and antineutrino are emitted

beta-plus decay

a process in which a proton changes to a neutron while a positron and neutrino are emitted

gamma decay

de-excitation of a nucleus to a lower energy state by emitting a photon without changing proton or nucleon number

positron

the electron antiparticle with the same mass as an electron and charge +e

neutrino / antineutrino

electrically neutral, negligible-mass particles included in beta-decay conservation bookkeeping

lepton number

a conserved bookkeeping quantity involving electrons/positrons and neutrinos/antineutrinos in the beta-decay processes treated here

Equations & model statements

Keep variables, conditions and physical meaning together

Select the relationship only after identifying the physical model and representation.

RelationshipVariables / meaningUse whenPhysical interpretation
alpha: A→A−4, Z→Z−2 + ⁴₂HeA parent nucleon number; Z parent proton number; emitted alpha has A=4 and Z=2alpha-decay nuclear bookkeepingthe daughter has four fewer nucleons and two fewer protons than the parent
β−: n→p + e− + anti-ν; β+: p→n + e+ + νn neutron; p proton; e− electron; e+ positron; ν neutrino; anti-ν antineutrinobeta-minus or beta-plus decay with charge, nucleon and lepton bookkeepingβ− raises daughter Z by 1 at fixed A; β+ lowers daughter Z by 1 at fixed A
gamma: excited nucleus → lower-energy same nucleus + γγ photon; parent and daughter retain the same A and Zgamma de-excitation after an excited nuclear stategamma emission changes nuclear energy but not the element or isotope identity
Representation translation

Turn evidence into physics

Move physical situation ↔ diagram/graph/equation ↔ verbal claim without losing the model boundary.

Nuclear equation: place A and Z on every nuclear species and balance both sides.

Decay-change table: compare ΔA and ΔZ for α, β−, β+ and γ.

Beta process diagram: show neutron↔proton conversion plus the required charged lepton and neutrino/antineutrino.

Gamma level diagram: show an excited nuclear energy level dropping to a lower state with photon emission.

Interactive check

Change one condition and inspect what responds

Predict first, then move a control. The tool stays inside the topic model.

Daughter A,ZA=234, Z=90
Emitted product⁴₂He
Conservation checknucleon number and charge conserved
Worked reasoning

Two examples with model selection exposed

The point is the reasoning path, not only the final number.

Alpha daughter

Situation: A parent nucleus has A=238 and Z=92 and undergoes alpha decay.

Reasoning: Subtract the emitted alpha particle values: A−4 and Z−2.

Result: The daughter has A=234 and Z=90.

Beta-minus daughter

Situation: A nucleus with A=14 and Z=6 undergoes beta-minus decay.

Reasoning: A neutron becomes a proton; nucleon number stays 14 while Z increases by 1. Electron and antineutrino emission complete the charge/lepton bookkeeping.

Result: The daughter has A=14 and Z=7.

Model selection & connections

Recognize the physics before reaching for an equation

Use the cue to choose the model, connect it to nearby ideas, then reject any method whose assumptions do not match the situation.

Recognize this model

What should trigger Topic 15.8?

Use decay-type bookkeeping when the emitted product determines how nucleon number, proton number, charge, and lepton number change.

Cross-topic connection

How this idea fits the course

This topic classifies individual decay processes, while half-life and exponential population behavior stay in 15.7.

Reject the wrong model

Scope check before solving

Do not require memorization of which specific isotope uses which decay mode or its half-life. Neutron emission and electron capture are outside the course framework; detailed neutrino types and weak-force mechanisms are also outside scope.

Experimental reasoning

How would the evidence test the model?

Identify what changes, what is measured, the graph/representation that tests the relationship, and the uncertainty that matters.

QuestionUse cards, dice/simulation events, or supplied nuclear equations to classify alpha, beta-minus, beta-plus and gamma processes; verify nucleon number, charge and lepton-number bookkeeping for each event.
ControlChange one independent variable while holding model-relevant geometry/material conditions fixed.
AnalyzeUse the topic representation or a transformed graph to test the predicted dependence/conservation.
ConcludeState whether the evidence supports the model and identify uncertainty or an assumption that limits the claim.
Common mistakes

Errors to remove before more practice

Repair the model or representation decision before doing extra arithmetic.

Putting half-life calculations in Topic 15.8

Half-life and exponential population decay are Topic 15.7; 15.8 focuses on decay mechanisms and conservation bookkeeping.

Changing A during beta decay

A neutron and proton are both nucleons, so beta-minus or beta-plus changes Z but not A.

Changing Z during gamma decay

Gamma emission changes nuclear energy state but leaves A and Z unchanged.

Adding electron capture or neutron emission

Those processes are outside the required course framework.

Mastery check

Six checks before moving on

Close the notes and test transfer before switching to the separate practice pages.

  • I can define every important term used in this lesson.
  • I can choose the model before selecting an equation.
  • I can translate between the key representation and a verbal prediction.
  • I can state the relationship conditions and scope boundary.
  • I can design or interpret evidence that tests the model.
  • I can explain the topic without relying on question-pattern memorization.
Continue with focused practice

Practice is kept on its dedicated pages

Finish the lesson first. Then open the separate topic bank when you want exam-style practice without replacing the teaching content above.

Separate MCQ bank

42 multiple-choice questions

Use the exact-topic MCQ bank to test model selection, representations, calculations and boundaries after learning the concept.

Open 42 Topic MCQs
Separate FRQ bank

4 multipart free-response tasks

Use the exact-topic FRQ set for mathematical, representation, experimental and qualitative/quantitative reasoning.

Open 4 Topic FRQs

Topic 15.8 FAQs

What decay types are included?

Alpha, beta-minus, beta-plus and gamma decay.

What happens to A and Z in alpha decay?

A decreases by 4 and Z decreases by 2.

What happens in beta-minus decay?

A neutron changes to a proton while an electron and antineutrino are emitted; A stays the same and Z increases by 1.

What happens in beta-plus decay?

A proton changes to a neutron while a positron and neutrino are emitted; A stays the same and Z decreases by 1.

Does gamma decay change the element?

No. A and Z remain unchanged; only the nuclear energy state decreases.

Do I need isotope-specific decay modes or half-lives memorized?

No. Use supplied information and apply the conservation/bookkeeping rules.