8: Nuclear Physics Flashcards
Rutherford Scattering Experiment (3)
- A stream of alpha particles was fired at a sheet of very thin gold foil
- If the plum pudding model was accurate, the alpha particles would have been detected within a small angle of the beam
- However, most passed straight through and some were deflected at angles greater than 90°
Conclusions from Rutherford Scattering (4)
- Atoms must be mostly empty space as most alpha particles passed straight through
- The nucleus must have a large positive charge as some alpha particles are repelled or deflected at large angles
- The nucleus must be tiny as very few alpha particles are deflected at angles greater than 90°
- Most of the mass must be in the nucleus since the fast alpha particles are deflected by the nucleus
Properties of Nuclear Radiation (3)
- Alpha has high ionising power, is slow, absorbed by paper or a few cm of air and affected by magnetic fields
- Beta has weak ionising power, is fast, absorbed by ~3 mm of aluminium and affected by magnetic fields
- Gamma has very weak ionising power, travels at the speed of light, absorbed by many cm of lead or several m of concrete and not affected by magnetic fields
Experimental Identification of Nuclear Radiation (4)
- Place a Geiger-Müller tube near an unknown source and record the count rate
- Place a sheet of paper between the source and tube and record the count rate
- Replace the paper with aluminium foil and record the count rate
- Depending on the material, if any, that reduced the count rate, you can identify the type of radiation
Applications of Alpha Radiation (3)
- Alpha sources are used in smoke alarms as they allow current to flow, by ionising atoms in air, but won’t travel very far
- When smoke is present, the alpha particles can’t reach the detector, setting the alarm off
- Although alpha particles cannot penetrate skin, if ingested, they ionise the body tissue, causing lots of damage
Applications of Beta Radiation (5)
- Beta particles ionise fewer atoms than alpha does, causing less damage to body tissue
- When creating sheets of material, beta radiation can be used to control its thickness
- The material is flattened as it is fed through rollers. A radioactive source is placed on one side and a detector on the other
- The thicker the material, the more radiation it absorbs and prevents from reaching the detector
- If too much radiation is absorbed, the rollers move closer to make the material thinner and vice versa
Applications of Gamma Radiation (4)
- Gamma radiation is less ionising than beta so does less damage to body tissue
- Radioactive tracers help diagnose patients. A source, with a short half-life to prevent prolonged exposure, is inserted into the patient. A detector then detects the emitted gamma rays
- Gamma rays can be used to treat cancerous tumours. Radiation damages healthy cells as well. Patients can suffer, possibly long-term, side effects
- The risk towards medical staff must be minimised. Exposure times are kept low and staff leave the room during treatment
Required Practical 12
Investigation of the inverse-square law for gamma radiation
Required Practical 12 Method (4)
https://www.cyberphysics.co.uk/practical_experiments/diagrams/ISL.png
1. Record the count rate on the GM tube to measure the background radiation count rate
2. Set up the apparatus in the diagram, noting the distance X
3. Record the count rate
4. Repeat step 3, increasing the distance of X
Inverse-Square Law for γ Radiation
I = k / x² where k = n h f / 4 π
Applications of the Inverse-Square Law (4)
- From the inverse-square law, using a radioactive source becomes more dangerous the closer you get to the source
- This is why the source is held away from the body
- Long handling tongs should be used to minimise radiation absorbed by the body
- Those, who aren’t working with the source, should stay far away
Experimental Elimination of Background Radiation from Calculations
When you take a reading of the count rate from a radioactive source, you need to measure the background radiation count rate and subtract it from your measurement
Background Radiation Origins (5)
- The air (radioactive radon gas released by rocks)
- The ground and buildings (rocks)
- Cosmic radiation (cosmic rays colliding with the upper atmosphere producing radiation)
- Living things (carbon-14 radioisotope)
- Man-made radiation (medical or industrial sources)
Random Nature of Radioactive Decay
Radioactive decay is completely random - you can’t predict when a nucleus will decay. However, a given nucleus has a constant probability of decaying
Radioactive Decay Equations (2)
- ΔN / Δt = -λ N
- N = N₀ e^(-λ t)
Activity
A = λ N
It is the number of nuclei decaying in a source per unit time
Half-Life Equation
T_(1/2) = ln 2 / λ
Half-Life
The mean time taken for the number of unstable nuclei to halve