E.3.18 (HL)—Beta spectrum and neutrino

Syllabus
First assessment 2025
Objective
Level
HL

Explain Beta Spectrum

HL only

Read the beta spectrum

Beta particles from one radioactive transition are emitted with a continuous range of kinetic energies, from nearly zero up to a maximum.

Use energy sharing

The beta particle and neutrino share the decay energy in variable proportions. The neutrino therefore explains why the beta particle does not always receive one fixed energy.

Common trap

Do not attribute the continuous spectrum to a continuous set of nuclear levels. Alpha and gamma line spectra show the contrasting discrete-level behaviour.

E.3.18 (HL) Exam Analysis

HL only

Assessment in practice

1 marks
How it is assessed

Questions identify the reason beta energy is continuous.

Command terms

Identify

What earns marks

Choose or state the existence of the neutrino, not gamma emission or continuous nuclear levels.

Watch for

Choosing gamma emission or nuclear energy levels as the explanation.

Retrieve the HL Nuclear Model

HL only

Retrieve the HL evidence

Nuclear stability, scattering deviations, the N–Z stability band and discrete alpha/gamma spectra reveal the strong interaction and quantized nuclear levels.

Retrieve the decay equations

Use N=N0eλtN=N_0e^{-\lambda t}, A=λNA=\lambda N, and T1/2=ln2/λT_{1/2}=\ln2/\lambda. The continuous beta spectrum is explained by neutrino energy sharing.