Nuclear Physics Flashcards

1
Q

What is the Rutherford scattering experiment

A

alpha particles fired at thin gold foil and a detector on the other side to detect how many particles deflected at different angles

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2
Q

What were Rutherford’s results?

A

The majority of α-particles went straight through (A)
This suggested the atom is mainly empty space

Some α-particles deflected through small angles of < 10o (B)
This suggested there is a positive nucleus at the centre (since two positive charges would repel)

Only a small number of α-particles deflected straight back at angles of > 90o (C)
This suggested the nucleus is extremely small and this is where the mass and charge of the atom is concentrated
It was therefore concluded that atoms consist of small dense positively charged nuclei

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3
Q

Describe alpha radiation

A

Alpha is the most ionising type of radiation
-This is due to it having the highest charge of +2e
-This means it produces the greatest number of ion pairs per mm in air
-This also means it is able to do more damage to cells than the other types of radiation

Alpha is the least penetrating type of radiation
-This means it travels the shortest distance in air before being absorbed
-Alpha particles have a range of around 3-7 cm in air
-Alpha can be stopped by a single piece of paper

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4
Q

Describe beta particles

A

Beta (β−) particles are high energy electrons emitted from the nucleus

Beta (β+) particles are high energy positrons
(antimatter of electrons) also emitted from the nucleus

β− particles are emitted by nuclei that have too many neutrons

β+ particles are emitted by nuclei that have too many protons

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5
Q

Describe beta radiation

A

Beta is a moderately ionising type of radiation
This is due to it having a charge of +1e
This means it is able to do some slight damage to cells (less than alpha but more than gamma)

Beta is a moderately penetrating type of radiation
Beta particles have a range of around 20 cm - 3 m in air, depending on their energy

Beta can be stopped by a few millimetres of aluminium foil

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6
Q

Describe gamma rays

A

Gamma (γ) rays are high energy electromagnetic waves

They are emitted by nuclei that need to lose some energy

If these particles hit other atoms, they can knock out electrons, ionising the atom

This can cause chemical changes in materials and can damage or kill living cells

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7
Q

Describe gamma radiation

A

Gamma is the least ionising type of radiation
This is because it is an electromagnetic wave with no charge
This means it produces the least number of ion pairs per mm in air
It can still cause damage to cells, but not as much as alpha or beta radiation. This is why it is used for cancer radiotherapy

Gamma is the most penetrating type of radiation
This means it travels the furthest distance in air before being absorbed
Gamma radiation has an infinite range and follows an inverse square law
Gamma can be stopped by several metres of concrete or several centimetres of lead

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8
Q

Applications of alpha beta and gamma in smoke detectors

A

Smoke Detectors
Smoke detectors contain a small amount of Americium-241, which is a weak alpha source
Within the detector, alpha particles are emitted and cause the ionisation of nitrogen and oxygen molecules in the air
These ionised molecules enable the air to conduct electricity and hence a small current can flow
If smoke enters the alarm, it absorbs the alpha particles, hence reducing the current which causes the alarm to sound
Am-241 has a half-life of 460 years, meaning over the course of a lifetime, the activity of the source will not decrease significantly and it will not have to be replaced

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9
Q

Applications of alpha beta and gamma in thickness controls

A

Beta radiation can be used to determine the thickness of aluminium foil, paper, plastic, and steel
The thickness can be controlled by measuring how much beta radiation passes through the material to a Geiger counter
Beta radiation must be used, because:
Alpha particles would be absorbed by all the materials
Gamma radiation would pass through undetected through the materials
The Geiger counter controls the pressure of the rollers to maintain the correct thickness
A source with a long half-life must be chosen so that it does not need to be replaced often

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10
Q

What is the inverse-square law of gamma radiation

A

As an electromagnetic wave, gamma radiation shares many of the same wave properties as light
Light sources which are further away appear fainter because the light they emit is spread out over a greater area than a light source which is closer by
The moment the light leaves the source, it begins to spread out uniformly as a sphere, according to an inverse square law

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11
Q

Background radiation in natural sources

A

Radon gas from rocks and soil
Heavy radioactive elements, such as uranium and thorium, occur naturally in rocks in the ground
Uranium decays into radon gas, which is an alpha emitter
This is particularly dangerous if inhaled into the lungs in large quantities

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12
Q

Background radiation in cosmic rays from space

A

The sun emits an enormous number of protons every second
Some of these enter the Earth’s atmosphere at high speeds
When they collide with molecules in the air, this leads to the production of gamma radiation
Other sources of cosmic rays are supernovae and other high energy cosmic events

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13
Q

Background radiation in carbon-14 in biological material

A

All organic matter contains a tiny amount of carbon-14
Living plants and animals constantly replace the supply of carbon in their systems hence the amount of carbon-14 in the system stays almost constant

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14
Q

Background radiation in radioactive material in food and drink

A

Naturally occurring radioactive elements can get into food and water since they are in contact with rocks and soil containing these elements
Some foods contain higher amounts such as potassium-40 in bananas
However, the amount of radioactive material is minuscule and is not a cause for concern

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15
Q

Background radiation in medical sources

A

In medicine, radiation is utilised all the time
Uses include X-rays, CT scans, radioactive tracers, and radiation therapy

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16
Q

Background radiation in nuclear waste

A

While nuclear waste itself does not contribute much to background radiation, it can be dangerous for the people handling it

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17
Q

Background radiation in nuclear fallout from nuclear weapons

A

Fallout is the residue radioactive material that is thrown into the air after a nuclear explosion, such as the bomb that exploded at Hiroshima
While the amount of fallout in the environment is presently very low, it would increase significantly in areas where nuclear weapons are tested

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18
Q

Background radiation in nuclear accidents

A

Accidents such as that in Chernobyl contributed a large dose of radiation into the environment
While these accidents are now extremely rare, they can be catastrophic and render areas devastated for centuries

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19
Q

What characteristics are preferred when choosing a source to work with?

A

Short-lived isotopes

The smaller the amount of radioactive material, the better

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20
Q

What are the biggest risks when working with radioactive sources?

A

Exposure and contamination

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21
Q

When does contamination happen

A

when a piece of radioactive material is transferred onto a person, or a personal item, where it can then decay and cause damage

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22
Q

What precautions are taken to reduce the risk of harm when using radioactive sources

A

Keeping radioactive sources shielded when not in use, for example in a lead-lined box

Wearing protective clothing to prevent the body from becoming contaminated

Keeping personal items outside of the room to prevent these from becoming contaminated

Limiting exposure time so less time is spent with radioactive materials

Handling radioactive materials with long tongs to increase the distance from them

Monitoring the exposure of workers, such as radiographers, using detector badges

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23
Q

Describe radiation therapy

A

Gamma radiation can be used to destroy cancerous tumours

The gamma rays are concentrated on the tumour to protect the surrounding tissue

Less penetrating beta radiation can be used to treat skin cancer by direct application to the affected area

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24
Q

What are precautions for a patient in radiation therapy

A

The patient should be protected with lead to cover parts of the body not to be exposed to radiation

The exact dose should be calculated carefully

The dose should be directed very accurately at the cancerous tissue to minimise damage to healthy tissue

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25
What are precautions for the radiographer during radiation therapy
The radiographer should handle the source remotely with tongs or a machine The radiographer should be protected by a screen The radiographer should be a long way from the source while the dose is given The source should be immediately stored in its lead case once the dose is given
26
Why are radioactive tracers with a short half life preferred
Initially, the activity is very high, so only a small sample needed The shorter the half-life, the faster the isotope decays Isotopes with a shorter half-life pose a much lower risk to the patient The medical test doesn‘t last long so a half-life of a few hours is enough
27
Sterilising medical equipment with…
Gamma radiation
28
Why is gamma most suited to Sterilising Medical Equipment
It is the most penetrating out of all the types of radiation It is penetrating enough to irradiate all sides of the instruments Instruments can be sterilised without removing the packaging
29
Why can’t equipment become radioactive when sterilising with gamma
In order for a substance to become radioactive, the nuclei have to be affected Ionising radiation only affects the outer electrons and not the nucleus The radioactive material is kept securely sealed away from the packaged equipment so there is no chance of contamination
30
Required Practical: Inverse Square-Law for Gamma Radiation aim of experiment
to verify the inverse square law for gamma radiation of a known gamma-emitting source
31
Required Practical: Inverse Square-Law for Gamma Radiation variables
Independent variable = the distance between the source and detector, x (m) Dependent variable = the count rate / activity of the source, C Control variables The time interval of each measurement The same thickness of aluminium foil The same gamma source
32
Required practical: Inverse Square-Law for Gamma Radiation
1. Measure the background radiation using a Geiger Muller tube without the gamma source in the room, take several readings and find an average 2. Next, put the gamma source at a set starting distance (e.g. 5 cm) from the GM tube and measure the number of counts in 60 seconds 3. Record 3 measurements for each distance and take an average 4. Repeat this for several distances going up in 5 cm intervals
33
8.1.7 Required Practical: Inverse Square-Law for Gamma Radiation Analysis of results
According to the inverse square law, the intensity, I, of the γ radiation from a point source depends on the distance, x, from the source 1. Square each of the distances and subtract the background radiation from each count rate reading 2. Plot a graph of the corrected count rate per minute against 1/x2 3. If it is a straight line graph through the origin, this shows they are directly proportional, and the inverse square relationship is confirmed
34
8.1.7 Required Practical: Inverse Square-Law for Gamma Radiation Evaluating experiment Systematic errors
The Geiger counter may suffer from an issue called “dead time” - This is when multiple counts happen simultaneously within ~100 μs and the counter only registers one -This is a more common problem in older detectors, so using a more modern Geiger counter should reduce this problem The source may not be a pure gamma emitter -To prevent any alpha or beta radiation being measured, the Geiger-Muller tube should be shielded with a sheet of 2–3 mm aluminium
35
8.1.7 Required Practical: Inverse Square-Law for Gamma Radiation Evaluating experiment Random errors
Radioactive decay is random, so repeat readings are vital in this experiment Measure the count over the longest time span possible -A larger count helps reduce the statistical percentage uncertainty inherent in smaller readings -This is because the percentage error is proportional to the inverse-square root of the count
36
8.1.7 Required Practical: Inverse Square-Law for Gamma Radiation Evaluating experiment Safety conditions
For the gamma source: - Reduce the exposure time by keeping it in a lead-lined box when not in use - Handle with long tongs - Do not point the source at anyone and keep a large distance (as activity reduces by an inverse square law) Safety clothing such as a lab coat, gloves and goggles must be worn
37
How to calculate % uncertainty from graph
((Worst gradient — best gradient) / (best gradient)) x 100%
38
Define radioactive decay
The spontaneous disintegration of a nucleus to form a more stable nucleus, resulting in the emission of an alpha, beta or gamma particle
39
What does it mean if radioactive decay is a random process
There is an equal probability of any nucleus decaying It cannot be known which particular nucleus will decay next It cannot be known at what time a particular nucleus will decay The rate of decay is unaffected by the surrounding conditions It is only possible to estimate the proportion of nuclei decaying in a given time period
40
How can you demonstrate the random nature of radioactive decay
Using a Geiger-muller (GM) tube When a GM tube is placed near a radioactive source, the counts are found to be irregular and cannot be predicted Each count represents a decay of an unstable nucleus These fluctuations in count rate on the GM tube provide evidence for the randomness of radioactive decay
41
What is the average decay rate
the average number of nuclei that are expected to decay per unit time
42
Define the decay constant (λ)
The probability that an individual nucleus will decay per unit of time
43
How to calculate the number of decays per unit time (activity)
44
Equation for radioactive decay
N = N0 e^–λt N0 = the initial number of undecayed nuclei (when t = 0) N = number of undecayed nuclei at a certain time t λ = decay constant (s-1) t = time interval (s)
45
Activity formula
A = A0 e–λt
46
Count rate formula
C = C0 e–λt
47
Formula for number of moles
48
Define avogadros constant (NA)
The number of atoms in one mole of a substance; equal to 6.02 × 1023 mol-1
49
Formula for number of nuclei (number of atoms)
50
Define half life
The time taken for the initial number of nuclei to halve for a particular isotope
51
What’s the half life formula
52
Define mass defect
The difference between an atom's mass and the sum of the masses of its protons and neutrons
53
How to calculate the mass defect ( Δm) of a nucleus
Δm = Zmp + (A – Z)mn – mtotal Where: Z = proton number A = nucleon number mp = mass of a proton (kg) mn = mass of a neutron (kg) mtotal = measured mass of the nucleus (kg)
54
Why does it take energy (binding energy) to hold nucleons together as a nucleus
Since nuclei are made up of neutrons and protons, there are forces of repulsion between the positive protons
55
Define binding energy
The amount of energy required to separate a nucleus into its constituent protons and neutrons
56
As energy and mass are proportional, what does this mean for the total energy of a nucleus?
It is less than the sum of the energies of its constituent nucleons
57
The formation of a nucleus from a system of isolated protons and neutrons is…
An exothermic reaction
58
What is the atomic mass unit (u) equal to?
1.661 x 10^-27
59
Define the atomic mass unit (u)
The mass of exactly one-twelfth of an atom of carbon-12
60
Define nuclear fusion
The fusing together of two small nuclei to produce a larger nucleus
61
Define nuclear fission
The splitting of a large atomic nucleus into smaller nuclei
62
Describe nuclear fission
Fission must first be induced by firing neutrons at a nucleus When the nucleus is struck by a neutron, it splits into two, or more, daughter nuclei During fission, neutrons are ejected from the nucleus, which in turn, can collide with other nuclei which triggers a cascade effect This leads to a chain reaction which lasts until all of the material has undergone fission, or the reaction is halted by a moderator
63
Describe nuclear fusion
Low mass nuclei (such as hydrogen and helium) can undergo fusion and release energy When two protons fuse, the element deuterium is produced In the centre of stars, the deuterium combines with a tritium nucleus to form a helium nucleus, plus the release of energy, which provides fuel for the star to continue burning
64
Formula for binding energy
Binding energy = Binding Energy per Nucleon × Mass Number
65
Convert MeV to Joules
1 MeV = 1.60 x 10^-13
66
Define binding energy per nucleon
The binding energy of a nucleus divided by the number of nucleons in the nucleus
67
Compare fission and fusion Part 1
1. In fusion, the mass of the nucleus that is created is slightly less than the total mass of the original nuclei - The mass defect is equal to the binding energy that is released since the nucleus that is formed is more stable 2. Fission occurs at high values of A because: - Repulsive electrostatic forces between protons begin to dominate, and these forces tend to break apart the nucleus rather than hold it together 3. In fission, an unstable nucleus is converted into more stable nuclei with a smaller total mass - This difference in mass, the mass defect, is equal to the binding energy that is released
68
Compare fission and fusion Part 2
1. Fusion releases much more energy per kg than fission 2. The energy released is the difference in binding energy caused by the difference in mass between the reactant and products - Hence, the greater the increase in binding energy, the greater the energy released 3. At small values of A (fusion region), the gradient is much steeper compared to the gradient at large values of A (fission region) 4. This corresponds to a larger binding energy per nucleon being released
69
Energy released formula
Energy released = Binding energy after – Binding energy before
70
Define induced fission
When a stable nucleus splits into small nuclei from the bombardment of a slow-moving neutron
71
What do we call neutrons involved in induced fission
Thermal neutrons - low energy and speed, so can induce fission - important as neutrons with too much energy will rebound away from uranium-235 nucleus and fission will not take place.
72
Define critical mass
The minimum mass of fuel required to maintain a steady chain reaction
73
What does it mean if you use the exact critical mass of fuel
A single fission reaction follows the last. Using less than the critical mass (subcritical mass) would lead the reaction to eventually stop Using more than the critical mass (supercritical mass) would lead to a runaway reaction and eventually an explosion
74
Purpose of moderator
To slow down neutrons The fast-moving neutrons produced by the fission reactions slow down by colliding with the molecules of the moderator, causing them to lose some momentum The neutrons are slowed down so that they are in thermal equilibrium with the moderator, hence the term ‘thermal neutron’
75
Purpose of control rods
To absorb neutrons Lowering the rods further decreases the rate of fission, as more neutrons are absorbed Raising the rods increases the rate of fission, as fewer neutrons are absorbed
76
Purpose of the coolant
To remove heat released by the fission reactions The coolant carries the heat to an external boiler to produce steam This steam then goes on to power electricity-generating turbines