An atom has radius and its nucleus has radius . Calculate how many times larger the atom's radius is.
Atomic structure
Notes and three levels of exam-style practice for each registered specification leaf in this section.
Open the printable packThe structure of an atom
- An atom has a tiny, positively charged nucleus containing protons and neutrons, with negatively charged electrons arranged at different energy levels around it.
- Compare scales using a ratio: an atom has radius about , while its nucleus has less than of the atom's radius.
- Most atomic mass is concentrated in the nucleus; absorbing electromagnetic radiation can move an electron to a higher energy level, while emitting it can move the electron lower.
- A common error is to draw the nucleus as most of the atom: it contains most of the mass but occupies only a very small central region.
Tier 1 · Easy
Tier 2 · Standard
Describe the positions and charges of the three subatomic particles in an atom, and state where nearly all the atom's mass is found.
Tier 3 · Hard
An atom absorbs electromagnetic radiation and later emits electromagnetic radiation. Explain what can happen to one of its electrons in the two changes.
Mass number, atomic number and isotopes
- Atomic number is the number of protons; mass number is the total number of protons and neutrons, so neutron number is mass number minus atomic number.
- For a neutral atom, electron number equals proton number; for a positive ion, subtract the positive charge from the proton number to find its electrons.
- Isotopes are atoms of the same element with the same proton number but different neutron numbers, so their atomic numbers match but their mass numbers differ.
- A common error is to change the nucleus when an ion forms: losing outer electrons changes the charge, not the atomic number or mass number.
Tier 1 · Easy
A neutral atom contains protons and neutrons. State its atomic number, mass number and number of electrons.
Tier 2 · Standard
For the ion , determine the numbers of protons, neutrons and electrons.
Tier 3 · Hard
Two isotopes of element have mass numbers and . An ion of the first isotope has charge and contains electrons. Determine the atomic number of , the neutron number of each isotope, and explain why both are the same element.
The development of the model of the atom (common content with chemistry)
- Atoms were first treated as indivisible spheres; discovery of the electron led to the plum pudding model, with electrons embedded in a ball of positive charge.
- Use scattering evidence in order: most alpha particles passed through, so atoms are mostly empty space; a few were strongly deflected, so charge and most mass occupy a tiny nucleus.
- Bohr proposed electrons at specific distances, later evidence identified protons in the nucleus, and Chadwick's work provided evidence for neutrons.
- A common error is to say Rutherford expected every alpha particle to rebound: the key comparison is between the observed pattern and the plum pudding model's prediction of only small deflections.
Tier 1 · Easy
Put these developments in chronological order: the nuclear model, the plum pudding model, evidence for the neutron, and electrons at specific distances from the nucleus.
Tier 2 · Standard
In an alpha-scattering investigation, nearly all particles cross a thin metal sheet without changing direction, while a very small fraction turn through large angles. Explain two conclusions that caused the plum pudding model to be replaced.
Tier 3 · Hard
A student says, 'Once the nucleus was proposed, the atomic model was complete.' Use later changes to the model to evaluate this statement.
Radioactive decay and nuclear radiation
- An unstable nucleus decays at random; activity is its decay rate in becquerels (), while count rate is the number of decays recorded each second by a detector such as a Geiger-Muller tube.
- Identify radiation by composition and properties: alpha is two protons plus two neutrons, beta is a fast electron from the nucleus, gamma is electromagnetic radiation, and a neutron may also be emitted.
- Alpha has the shortest range and greatest ionising power, beta is intermediate, and gamma is the most penetrating and least ionising of the three.
- A common error is to call beta an orbital electron or gamma a charged particle: beta forms when a neutron changes into a proton, while gamma has no charge or mass.
Tier 1 · Easy
Name the radiation described in each case: (i) two protons and two neutrons, (ii) electromagnetic radiation from a nucleus, (iii) a fast electron emitted when a neutron changes.
Tier 2 · Standard
Radiation is stopped by card, crosses card but is stopped by a thin aluminium sheet, and crosses both but is reduced by thick lead. Identify , and , then state which has the greatest ionising power.
Tier 3 · Hard
A sealed source must send radiation through several centimetres of tissue to a target while limiting ionisation of healthy tissue along the path. Compare alpha, beta and gamma, and choose the most suitable radiation.
Nuclear equations
- Balance a nuclear equation by making the total mass number and total atomic number equal on both sides.
- For alpha emission use ; for beta-minus emission use , so the daughter's atomic number is one greater while its mass number is unchanged.
- For example, after one alpha emission a parent labelled becomes ; gamma emission changes neither number.
- A common error is to decrease atomic number in beta-minus decay: the emitted beta has atomic number , so the daughter must increase by to balance.
Tier 1 · Easy
Complete by giving the emitted particle in full nuclear notation.
Tier 2 · Standard
Complete the beta-minus equation by determining and .
Tier 3 · Hard
A nucleus emits one alpha particle and then two beta-minus particles. Determine the mass number and atomic number of the final nucleus, showing the change at each stage.
Half-lives and the random nature of radioactive decay
- Half-life is the time for the number of undecayed nuclei, activity or net count rate to fall to half its initial value; individual nuclear decays remain unpredictable.
- Subtract background count rate before finding successive halvings, then divide the elapsed time by the number of half-lives.
- A fall from to is three halvings because ; Higher tier can express the remaining-to-original ratio as .
- A common error is to subtract the same amount in every half-life or to halve a gross detector reading without first removing background.
Tier 1 · Easy
The activity of a sample falls from to in hours. Determine its half-life.
Tier 2 · Standard
A detector records counts per minute beside a source at time zero and counts per minute minutes later. Background count rate is counts per minute. Calculate the source's half-life.
Tier 3 · Hard
A detector beside a source reads counts per minute initially and counts per minute after minutes. Background is counts per minute. Determine the half-life, then explain why repeated one-minute readings taken at the same time would not all be identical.
Radioactive contamination
- Contamination is the unwanted presence of material containing radioactive atoms; irradiation is exposure to nuclear radiation without transfer of radioactive material.
- Compare hazards by asking whether the source can remain on or enter the body, which radiation it emits, and how exposure can be shortened, shielded or kept at a distance.
- An alpha contaminant outside the body may be stopped by skin, but the same material inside the body can be especially hazardous because alpha is strongly ionising at short range.
- A common error is to say an irradiated object must become radioactive; irradiation stops when exposure ends, whereas contaminating atoms continue to decay until removed or decayed.
Tier 1 · Easy
A wrapped instrument is placed near a sealed gamma source and then removed. No radioactive material touches it. State whether this is contamination or irradiation, and whether the instrument becomes radioactive.
Tier 2 · Standard
Compare the hazard from an alpha-emitting speck held outside the body with the hazard if the same speck is inhaled. Give a suitable precaution.
Tier 3 · Hard
A small study reports that workers exposed near a sealed radiation source have a higher illness rate. Explain why publishing the method and results for peer review is important before concluding that irradiation caused the illnesses.
Background radiation (physics only)
- Background radiation is always present and includes natural sources such as radioactive rocks and cosmic rays, plus man-made fallout from weapons tests and nuclear accidents.
- When comparing measurements, allow for location, altitude, surrounding rock and occupation, and subtract a local background count rate when isolating a source's count rate.
- For dose, ; a worker's total dose can be estimated by adding the contributions from different exposures over the stated time.
- A common error is to assume a detector should read zero after a test source is removed: background radiation continues to produce counts.
Tier 1 · Easy
Classify each source of background radiation as natural or man-made: cosmic rays, radioactive rock, and fallout from a nuclear weapons test.
Tier 2 · Standard
A detector averages counts per minute at sea level on sedimentary ground and counts per minute at a high-altitude site on granite. Suggest two reasons for the difference and explain why neither reading should be treated as zero-source error.
Tier 3 · Hard
A cave guide receives per working week from surrounding rock and works weeks. An airline worker receives per working week from additional cosmic radiation for weeks. Calculate each annual occupational dose, compare them, and express the larger in sieverts.
Different half-lives of radioactive isotopes (physics only)
- Radioactive isotopes span a very wide range of half-lives, so the duration and rate of a hazard depend on the isotope present.
- Compare hazards using both activity and persistence: a short half-life means rapid decay and a quickly falling hazard, while a long half-life can leave material radioactive for much longer.
- For equal numbers of unstable nuclei, a shorter-half-life isotope undergoes decays more rapidly at first; a longer-half-life isotope generally creates the longer waste-management problem.
- A common error is to call either short or long half-life always safer: risk also depends on quantity, radiation type, route into the body and exposure time.
Tier 1 · Easy
Two contaminants have half-lives of hours and years. Which contaminant can remain a disposal hazard for longer? Explain your choice.
Tier 2 · Standard
Samples and initially have the same activity and emit the same type of radiation. has half-life hours; has half-life years. Compare how their hazards change after the samples are securely stored.
Tier 3 · Hard
Equal numbers of nuclei of isotopes and are spilled. has half-life and has half-life . Compare the likely initial and long-term hazards, stating why half-life alone cannot determine the total risk.
Uses of nuclear radiation (physics only)
- A medical tracer for exploring an organ should be detectable outside the body, so a penetrating radiation such as gamma is useful, and its half-life should limit the time the patient remains radioactive.
- For controlling or destroying unwanted tissue, direct radiation at the target or place a suitable source close to it while limiting dose to healthy cells.
- Evaluate a use by comparing diagnostic or treatment benefit with absorbed dose, radiation type, half-life, exposure time and the consequences of not carrying out the procedure.
- A common error is to discuss only usefulness: every evaluation needs a linked risk, such as ionisation damaging healthy cells, and a way the exposure is controlled.
Tier 1 · Easy
Give two reasons why a gamma-emitting isotope can be suitable as a tracer for exploring an internal organ.
Tier 2 · Standard
A doctor proposes directing nuclear radiation at a tumour to destroy unwanted tissue. A smaller dose will also reach nearby healthy tissue, and without treatment the tumour is likely to grow. Evaluate this use of radiation.
Tier 3 · Hard
A hospital needs an internal tracer that will be measured by a detector outside the body during a four-hour investigation. Candidate emits alpha and has half-life years; emits gamma and has half-life hours; emits gamma and has half-life years. Select the best candidate and justify why the other two are less suitable.
Nuclear fission (physics only)
- Fission is the splitting of a large, unstable nucleus; it usually begins when the nucleus absorbs a neutron.
- A fission event produces two smaller nuclei of roughly equal size, two or three neutrons and gamma rays, with released energy appearing as kinetic energy of the products.
- Emitted neutrons can trigger further fissions: limiting how many continue gives a controlled reactor chain reaction, while continued multiplication gives an uncontrolled release.
- A common error is to describe fission as two small nuclei joining; that is fusion, whereas fission starts with one large nucleus splitting.
Tier 1 · Easy
State what usually starts a fission event and name two products other than the two smaller nuclei.
Tier 2 · Standard
In a simplified chain reaction, every fission releases three neutrons and every released neutron causes one new fission. Starting with one fission in generation 1, calculate the numbers of fissions in generations 2, 3 and 4.
Tier 3 · Hard
Sketch and label a chain-reaction diagram beginning with a neutron absorbed by one large unstable nucleus. Show that fission releasing two neutrons can cause the next generation, then explain how a controlled reactor prevents the number of fissions increasing each generation.
Nuclear fusion (physics only)
- Fusion is the joining of two light nuclei to form a heavier nucleus.
- Identify fusion from the pattern of two small nuclear reactants becoming one larger nuclear product, rather than from the presence of radiation alone.
- The combined mass of the nuclear product can be slightly less than that of the starting nuclei; the mass difference is converted into energy carried by radiation.
- A common error is to call any energy-releasing nuclear process fusion: fission splits one large nucleus, while fusion joins two light nuclei.
Tier 1 · Easy
Complete the definition: nuclear fusion is the joining of two ______ nuclei to make a ______ nucleus.
Tier 2 · Standard
Compare nuclear fusion with nuclear fission in terms of the nuclei before and after each process, and state one energy feature shared by them.
Tier 3 · Hard
An experiment shows two light nuclei combining into one heavier nucleus while radiation leaves the reaction. The measured mass of the heavier nucleus is slightly smaller than the total mass of the two starting nuclei. Explain why the observations support fusion and account for the mass difference.