AS Level · Topic 11.1
A-Level 9702 / Topic 11 / AS

The missing energy.

Beta particles come out with a puzzling spread of energies, unlike the sharp lines of alpha decay. The resolution was a ghostly third particle, the neutrino, carrying away the balance and saving the conservation laws.

The key idea

Every particle has an antiparticle with the same mass but opposite charge; the positron is the electron antiparticle. Beta-minus decay emits an electron and an antineutrino; beta-plus decay emits a positron and a neutrino. Alpha particles leave with discrete energies, but beta particles have a continuous range, because the energy is shared with the (anti)neutrino. The unified atomic mass unit u is one twelfth of the mass of a carbon-12 atom.

n p + e⁻ + ν̅₋ β⁻ decay: a down quark becomes an up quark
Fig. 1 — In β⁻ decay a neutron becomes a proton, emitting an electron and an electron antineutrino
Section 01

Share the energy.

Watch a neutron decay: an electron and an antineutrino fly out, sharing the available energy. Because the split varies, the electron energy spans a continuous range up to a maximum.

Section 02

Particles and their antiparticles.

Same mass, opposite charge.

Particle / processPartner / productsNote
electronpositroncharge −e and +e
β⁻ decayemits electron + antineutrinofrom a neutron
β⁺ decayemits positron + neutrinofrom a proton
Stage 1 · Learn

Check what the sim just showed you

Four quick checks tied to this lesson. Each correct answer earns XP and lights this skill on your star map.

Quick check+10 XP

The antiparticle of the electron is the:

Quick check+10 XP

An antiparticle has the same mass as its particle but the opposite:

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In beta-minus decay, the particles emitted are an electron and:

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Beta particles are emitted with a continuous range of energies because the energy is shared with:

Section 03

Why the neutrino was needed.

The continuous beta spectrum looked like a violation of conservation.

Examiner trap

An antiparticle has the same mass as its particle, only the charge is reversed; do not say it is lighter or heavier. Beta-minus decay emits an antineutrino (with the electron), while beta-plus emits a neutrino (with the positron); keep the pairing right. The unified atomic mass unit is defined from carbon-12, as one twelfth of that atom mass.

Stage 2 · Exam

Exam-style questions

Unlocks once the checks above are done. Worth more XP, written to AS Paper 1 and 2 standard.

Finish the checks above to unlock the exam questions
Exam style+20 XP

The continuous energy spectrum of beta particles is evidence for the existence of the:

Exam style+20 XP

The unified atomic mass unit (u) is defined as:

Exam style+20 XP

In beta-plus decay, a nucleus emits a positron and:

Skill unlocked

Antiparticles and neutrinos, mastered.

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Go deeper · practice
Six original Cambridge-style questions
Antiparticles and the positron, neutrinos and antineutrinos in beta decay, discrete versus continuous spectra, and the unified atomic mass unit. Attempt each, then reveal the worked solution.
Stage 3 · Paper 1 readiness
Particle physics · Paper 1 Practice
A bank of original multiple-choice questions across the whole topic, in the style of Paper 1. Start this once you are confident across the whole of particle physics.
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