**Inquiry question: How can the energy of the atomic nucleus be harnessed?**

**Students:**

β analyse the spontaneous decay of unstable nuclei, and the properties of the alpha, beta and gamma radiation emitted (ACSPH028, ACSPH030)

β examine the model of half-life in radioactive decay and make quantitative predictions about the activity or amount of a radioactive sample using the following relationships:

where π_{t} = number of particles at time π‘, π_{0} = number of particles present at π‘ = 0, π = decay constant, π‘_{1/2} = time for half the radioactive amount to decay (ACSPH029)

β model and explain the process of nuclear fission, including the concepts of controlled and uncontrolled chain reactions, and account for the release of energy in the process (ACSPH033, ACSPH034)

β analyse relationships that represent conservation of mass-energy in spontaneous and artificial nuclear transmutations, including alpha decay, beta decay, nuclear fission and nuclear fusion (ACSPH032)

β account for the release of energy in the process of nuclear fusion (ACSPH035, ACSPH036)

β predict quantitatively the energy released in nuclear decays or transmutations, including nuclear fission and nuclear fusion, by applying: (ACSPH031, ACSPH035, ACSPH036)

β the law of conservation of energy

β mass defect

β binding energy

β Einsteinβs massβenergy equivalence relationship πΈ = ππ^{2}

Extract from *Physics Stage 6 Syllabus Β© 2017 *NSW Education Standards Authority (NESA)