Module 6: Particles and medical physics

6.4 Nuclear and particle physics

6.4.1

The nuclear atom

(a) alpha-particle scattering experiment; evidence of a small charged nucleus

(b) simple nuclear model of the atom; protons, neutrons and electrons

(c) relative sizes of atom and nucleus

(d) proton number; nucleon number; isotopes; notation

for the representation of nuclei

(e) strong nuclear force; short-range nature of the force; attractive to about 3 fm and repulsive below about 0.5 fm

1 fm = 10–15 m

 

(f) radius of nuclei;

R = r0 A 1/3

where r0 is a constant and

A is the nucleon number

R = r0 A 1/3

(g) mean densities of atoms and nuclei

 

6.4.2

Fundamental particles

(a) particles and antiparticles; electron–positron, proton-antiproton, neutron-antineutron and neutrino-antineutrino

 

 

(b) particle and its corresponding antiparticle have same mass; electron and positron have opposite charge; proton and antiproton have opposite charge

(c) classification of hadrons;

proton and neutron as examples of hadrons; all hadrons are subject to both the strong nuclear force and the weak nuclear force

(d) classification of leptons;

electron and neutrino as examples of leptons;

all leptons are subject to the weak nuclear force but not the strong nuclear force

 

 

(e) simple quark model of hadrons in terms of:

up (u),

down (d) and

strange (s) quarks and their respective anti-quarks

(f) quark model of the proton (uud) and the neutron (udd)

(g) charges of the

up (u),

down (d),

strange (s),

anti-up ( ̅u),

anti-down ( ̅d) and the

anti-strange ( ̅s) quarks as fractions of the elementary charge e

(h) beta-minus (β-) decay; beta-plus (β+) decay

(i) β– decay in terms of a quark model;

(j) β+ decay in terms of a quark model;

(k) balancing of quark transformation equations in terms of charge

(l) decay of particles in terms of the quark model.

6.4.3

Radioactivity

(a) radioactive decay; spontaneous and random nature of decay

Useful to read: What is radiation

(b) (i) α-particles, β-particles and γ-rays; nature, penetration and range of these radiations

Multiple Choice

StructuredQuestions

(b) (ii) techniques and procedures used to investigate the absorption of α-particles, β-particles and γ-rays by appropriate materials

(c) nuclear decay equations for alpha, betaminus and beta-plus decays; balancing nuclear transformation equations

(d) activity of a source;

decay constant λ of an isotope;

A = λN

A = λN
Learners will also require knowledge of 5.1.4

(e) (i) half-life of an isotope;

λ T½ = ln 2

λ T½ = ln 2

Practical Investigations

(e) (ii) techniques and procedures used to determine the half-life of an isotope such as protactinium

(f) (i) the equations:

A = A0e-λt

and

N = N0e-λt

where A is the activity and N is the number of undecayed nuclei

A = A0e-λt

N = N0e-λt

(f) (ii) simulation of radioactive decay using dice

(g) graphical methods and spreadsheet modelling of the equation

ΔN/Δt = - λN

for radioactive decay

ΔN/Δt = - λN

Using spreadsheets to model the radioactive decay of nuclei.

 

(h) radioactive dating, e.g. carbon-dating.

Carbon Dating

6.4.4

Nuclear fission and fusion

(a) Einstein's mass–energy equation;

ΔE = Δmc2

ΔE = Δmc2

Structured Questions

Multiple Choice

(b) energy released (or absorbed) in simple nuclear reactions

(c) creation and annihilation of particle–antiparticle pairs

(d) mass defect; binding energy; binding energy per nucleon

(e) binding energy per nucleon against nucleon number curve; energy changes in reactions

(f) binding energy of nuclei using

ΔE = Δmc2

and masses of nuclei

ΔE = Δmc2

(g) induced nuclear fission; chain reaction

(h) basic structure of a fission reactor; components – fuel rods, control rods and moderator

(i) environmental impact of nuclear waste

Decision making process when building new nuclear power stations.

(j) nuclear fusion; fusion reactions and temperature

Learners will also require knowledge of 5.1.4

Structured Questions

Multiple Choice

(k) balancing nuclear transformation equations.