What this chapter covers
Key ideas explained
- What half-life means, Half-life is the time for half of the radioactive nuclei in a sample to decay. It stays the same no matter how much you start with, because decay is a fixed-chance process for each nucleus.
- Why nuclear reactions release so much energy, In a nuclear reaction the products have slightly less mass than the starting materials. This lost mass is converted into a large amount of energy, following E = mc squared.
- Why radioactive decay is random, You cannot predict which nucleus will decay next or when, and nothing outside can trigger it. Decay is spontaneous and random, yet a huge number of nuclei together follow a steady, predictable rate.
Formulas to memorise (none are given in the exam)
- E = mc², Mass–energy equivalence, E = energy released (J); m = mass defect (kg); c = speed of light (m s⁻¹)
- N = N₀ (½)ⁿ, Radioactive decay (half-life), N = quantity remaining (no unit) (); N₀ = initial quantity (no unit) (); t = elapsed time (s); T½ = half-life (s); n = number of half-lives (= t / T½) ()
Terms you must define precisely
- Gamma ray, A high-frequency electromagnetic wave emitted by an unstable nucleus; it has no charge and very high penetrating power.
- Radioactive decay, The random process by which an unstable nucleus loses energy by emitting radiation and changes into a more stable nucleus.
- Half-life, The time taken for half the radioactive nuclei in a sample to decay.
- Nuclear fission, The splitting of a heavy nucleus into two lighter nuclei, releasing a large amount of energy.
- Nuclear fusion, The joining of two light nuclei to form a heavier nucleus, releasing a large amount of energy, as happens in the Sun.
- Nuclear energy, The energy released from changes in the nucleus of an atom, such as fission or fusion, described by E = mc².
- Mass defect, The difference between the total mass of the separate nucleons and the mass of the nucleus they form, which is released as energy.
- Nucleus, The small, dense, positively charged centre of an atom, made up of protons and neutrons.
A revision order that works
- For each experiment, write the manipulated, responding and constant variables from memory, then the graph you would plot.
- Finish with a timed set of calculations with units on every line.
- Read the 2 standards above and tick the ones you can already explain aloud without notes.
- Rewrite every definition in one sentence with the correct unit; definitions are the cheapest marks in Paper 2.
- Derive each formula once from its meaning, then practise rearranging it before substituting numbers.
Exam tip
Units on every calculation line; no formula is provided in the SPM Physics papers.
More Nuclear Physics resources
- Chapter overview: Nuclear Physics
- Common Mistakes
- Practice Questions
- Paper 2 Answering Guide
- Paper 3 Guide
- Key Terms
- Calculation practice sets
Source: DSKP KSSM Physics Form 4 and 5 (Versi English), Sijil Pelajaran Malaysia: Format Pentaksiran mulai 2021, Fizik (4531) (Bahagian Pembangunan Kurikulum (BPK), KPM)
Written by the spmphysics.com.my editorial team.· Updated 5 Sept 2026