Nuclear Physics Flashcards

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1
Q

What is the Rutherford Scattering Experiment ?

A

It provides evidence for an atomic structure

  • Scattering of alpha particles by thin metal foils
  • alpha particles from a radioactive source fired at very thin gold foil
  • strikes a fluorescent screen (circular) a tiny visible light if produced
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2
Q

What are the conclusions made from the Rutherford Scattering Experiment ?

A

1) ATOMS MUST BE MOSTLY EMPTY SPACE
- most of the alpha particles just pass straight through
2) NUCLEUS MUST HAVE A LARGE POSITIVE CHARGE
- as some alpha particles are repelled + deflected by large angle
3) NUCLEUS MUST BE TINY
- as very few particles are deflected by angle < 90
4) MOST MASS MUST BE IN THE NUCLEUS
- since fast alpha particles are deflected by the nucleus

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3
Q

How the structure of the nucleus has changed over time ?

A
  • Matter was made of little lumps ‘atomos’
  • Tiny spheres that couldn’t be broken down
  • Plum pudding
  • Rutherford scattering - protons and electrons
  • Evidence for the neutron
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4
Q

What experiments can you measure the Nucleus radius ?

A

1) Close approach of a scattered particle

2) Electron diffraction

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5
Q

How to estimate the Radius of the nucleus using the Close approach of a scattered particle method ?

A

Initial Ek = E(electric potential energy)

E = Qq/4πEor

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6
Q

How to estimate the Radius of the nucleus using the electron diffraction method ?

A
  • more accurate that ‘close approach’
  • can be diffracted due to wave-article duality
  • λ = hc/E
  • FIRST MINIMUM (from diffraction pattern)
    SinѲ = 1.22λ/2R
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7
Q

How does Intensity vary with diffraction angle ?

A
  • central bright maximum containing the majority of the incident electrons
  • intensity decrease as the angle of diffraction increases
  • NEED TO KNOW GPAPH
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8
Q

How to calculate the Nuclear Density ?

A

R = RoA^1/3 -> R^3∝A -> V∝A

  • p = m/v - assume nucleus is spherical
  • p = A x M / 4/3πR^3
  • p = A x M / 4/3π(RoA^1/3)^3
  • p = 3M/4πRo^3 = constant
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9
Q

How to show the nuclear radius (R) is proportional to the cube root of the nucleon number (A)

A

As the nucleon (atomic mass) increase the nuclear radius increases - R/A graph
- linear relation between R and A^1/3
R = RoA^1/3
(Ro = 1.4x10^-15)
- show evidence that nuclear material have a CONSTANT DENSITY

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10
Q

What are the four types of Nuclear Radiation ?

A

1) Alpha
2) Beta-Minus
3) Beta-Plus
4) Gamma

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11
Q

What are the properties of Alpha Radiation (α) ?

A
CONSTITUENT 
- 2 Protons + 2 Neutrons (He)
IONISING POWER 
- Strong 
SPEED
- Slow 
PENETRATING POWER
- Absorbed by paper/skin or few cm of air
AFFECTED BY MAGNETIC FIELD
- Yes
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12
Q

What are the properties of Beta-Minus Radiation (β-) ?

A
CONSTITUENT 
- Electron 
IONISING POWER 
- Weak
SPEED
- Fast
PENETRATING POWER
- Absorbed by 3mm of aluminium 
AFFECTED BY MAGNETIC FIELD
- Yes
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13
Q

What are the properties of Gamma Radiation (γ) ?

A
CONSTITUENT 
IONISING POWER 
SPEED
PENETRATING POWER
AFFECTED BY MAGNETIC FIELD
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14
Q

What are the properties of Gamma Radiation (γ) ?

A
CONSTITUENT 
- Electromagnetic Wave 
IONISING POWER 
- Very Weak 
SPEED
- Speed of Light 
PENETRATING POWER
- Absorbed by thick lead or concrete 
AFFECTED BY MAGNETIC FIELD
- No
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15
Q

What is Alpha Radiation used for ?

A

Is used for Smoke alarms because they allow current to flow but won’ travel far
- only need to amount of source

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16
Q

How to identify Radiation ?

A

Use a GM-tube ( GEIGER-MULLER )

  • record count-rate/ mins^-1
  • use different materials to receive count-rate
  • repeat 3 times and average
  • Corrected count-rate = CR - BCR
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17
Q

What is Gamma Radiation used for ?

A
  • Radioactive tracers - help diagnose patients without the need of surgery
  • radioactive source injected into body with short half-life to prevent prolonged radiation exposure
  • PET scanner used to detect emitted gamma rays
  • treat cancer by damaging cells (but all cells)
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18
Q

What is Beta Radiation used for ?

A

Is used for measuring the thickness of a material

  • too little radiation being absorbed -> rollers move part so make material thicker
  • too much radiation being absorbed -> rollers move closer so make material thinner
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19
Q

How to safely handle radioactive sources ?

A
  • exposure time is minimum
  • shielding during treatment
  • inside lead box
  • handle with long handling tongs
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20
Q

What is Background Radiation (BR) and type of sources of it ?

A

Is the low level of radiation always present
SOURCES
- Air (radon gas released from rocks)
- Ground and Buildings
- Cosmic radiation
- Living things e.g. plants/animals
- Man-made radiation e.g medical/nuclear power

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21
Q

What is the INVERSE SQUARE LAW ?

A

States the intensity of gamma radiation decreases with distance from a source
ɪ = K/x^2
- Intensity of radiation is the amount of radiation per unit area (Wm^-2)
- K - constant of proportionality (W)
- Graph of CCR/distance - ∝1/d^2

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22
Q

What is RADIOACTIVE DECAY ?

A

Is an unstable nucleus that breakdowns by releasing energy and/or particles to become more stable
- is random and can’t be predicted

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23
Q

What has the same rate of radioactive decay ?

A

ISOTOPES have the same rate of radioactive decay - constant decay probability

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24
Q

What is the ACTIVITY (A) of a sample ?

A

Is the number of nuclei that decay each seconds
- Measured in Bq
A = λN
- λ = decay contsant (s^-1)
- N = number of unstable nuclei in sample

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25
Q

What is the Decay constant (λ) ?

A

Is the probability of a specific nucleus decaying per unit time

  • measure of how quickly an isotope will decay
  • bigger λ - faster the rate of decay
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26
Q

How else can Activity be written as ?

A
A = -ΔN/Δt 
- Is the number of nuclei that decay each seconds 
- minus sign as always decreasing 
ΔN/Δt = -λN
- model by using spreadsheet modelling
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27
Q

]What is the Decay Equation ?

A

N = Noe^-λt
A = Aoe^-λt
- Both N and A for a radioactive source both decrease exponentially
- can get Linear graph In(N) = -λt + In(No)

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28
Q

What is the DICE SIMULATION of radioactive decay ?

A
  • Radioactive decay is a random process
  • there is a constant probability that an unstable nucleus will decay
  • constant probability of dice is 1/6
  • 100 sample - number of 6’s represent the nuclei that have decayed
  • repeat process but remove the decayed dice
29
Q

What are the calculations involving molar mass and Avogadro constant ?

A

N = nNa ( Number of atoms = Number of moles x Constant)
- Molar mass of a substance is the mass that 1 mole of the substance would have (gmol^-1) and is equal to reative atomic mass

30
Q

What is HALF-LIFE of a radioactive isotope ?

A

is the time taken for number of unstable nuclei in a sample to halve (T1/2)

31
Q

How to calculate half-life from decay curves ?

A
  • read off the value of unstable nuclei when t=0
  • go to half original number on the y-axis
  • draw a horizontal line to curve the vertical line down and read off half-life
  • repeat for quarter of original then divid time by two to get half-life
32
Q

How to derive Half-life equation ?

A
  • When t = T1/2 so 1/2No = Noe^-λT1/2
  • 1/2 = e^-λT1/2
  • In(1/2) = -λT1/2
  • In(1/2) = -In(2)
    T1/2 = In(2)/λ
33
Q

What are the types of Applications of radioactive Isotopes ?

A

1) Radioactive dating
2) Medical diagnosis
3) Storage of radioactive waste

34
Q

What is Radioactive dating ?

A
  • Uses Carbon-14
  • Living plants take in CO2 from the atmosphere as part of photosynthesis
  • When plants die, Activity of C-14 in the plant starts to fall, with half-life of 5730 years
  • find made from once-living material can be tested to find current amount of C-14 in them, and date them
35
Q

Why is it difficult to get a reliable age from radioactive dating ?

A
  • Man-made objects crafted from natural materials e.g. wood, you can only find age of material not object
  • object way be contaminated by other radioactive sources
  • may be high background count
  • sample/count rate is small so might be unreliable
36
Q

What is Medical Diagnosis ?

A
  • Technetium-99m used in medical tracers - show tissue or organ function
  • tracer injected into body and move around to point of interest
  • radiation emitted is recorded and image is produced
  • Technetium-99m is suitable because has a half-life of 6 hours so can record data but safe
37
Q

Why and how do you need to store radioactive waste ?

A
  • nuclear fission reactors use Uranium-235 to generate electricity which decays into several different radioactive isotopes - emit radiation (alpha to gamma)
  • has very high half-life so radioactive for long time so stored for years unit activity falls to safe level
38
Q

What makes a Nucleus Unstable ?

A
  • too many neutrons
  • too few neutrons
  • too many nucleons altogether e.g. too heavy
  • too much energy
39
Q

What does the Nuclear Stability Graph look like ?

A
  • N against Z ( Neutrons against Proton number)
  • Line of stability curves off from N=Z
  • above line of stability - too many neutrons so undergo β- decay
  • below line of stability - too may protons so undergo β+ decay
  • right of line of stability - too my nucleons so undergo α decay
40
Q

How do Protons and Nucleons number change during α, β-, β+ and electron capture (γ) ?

A
APLHA - very heavy atoms 
- N -> N-4 + α
- Z -> Z-2 + α
BETA MINUS - neutron rich isotopes 
- N -> N + β-
- Z -> Z+1 + β-
BETA PLUS -proton rick isotopes 
- N -> N + β+
- Z -> Z-1 + β+
GAMMA - excess energy from previous decay
- no change in nuclear constituents - nucleus just loses excess energy 
- radiation produced via ELECTRON CAPTURE
41
Q

What is the conservation rule in nuclear reaction ?

A

Is Momentum, charge, nucleon number, and lepton number must be conserved

42
Q

How to interpret energy level diagrams showing the radioactive decay of a nucleus ?

A
  • energy level as horizontal lines

- energy released from vertical lines

43
Q

What equation applies too all energy changes ?

A

E = mc^2

44
Q

What is the atomic mass unit (1u) ?

A

1/12th mass of Carbon-12 nucleus

45
Q

What is 1u equivalent to ?

A

Is equivalent to a binding energy of 931.5 Mev

46
Q

What is Mass Defect (Δm) ?

A

is the Mass of the Constituent nucleons - Mass of the nucleus
- Measured in u

47
Q

Why is the Mass of the Constituent nucleons > Mass of the nucleus ?

A

When the nucleons joint together, the total mass decreases - lost mass in converted into energy and released

48
Q

What is the Binding energy (BE) of a nucleus ?

A

is the amount of energy need to separate all the nucleons in a nucleus

  • Measured in Mev
  • equal to the mass defect
49
Q

How to calculate the average binding energy per nucleon ?

A

= BE/A

binding energy/Nucleon number (A)

50
Q

What does the Average binding energy per nucleon against nucleon number (A) Graph look like ?

A
  • Curve increases till Fe then gradually decreases
  • Y-axis up to 10 and X-axis to 250
  • Fe is turning point as most stable nucleus - highest BE/A
51
Q

What part of the graph represents Nuclear Fission ?

A
  • Right side towards Fe

- Average binding energy per nucleon decreases gently for heavier nuclei

52
Q

What part of the graph represents Nuclear Fusion ?

A
  • Left side towards Fe

- Average binding energy per nucleon increases rapidly for heavier nuclei

53
Q

What is Nuclear Fusion ?

A

Is combining of two smaller nuclei into one large nucleus

  • a-lot of energy released due to new nucleus having higher BE/A
  • energy released as kinetic energy of particles
54
Q

What is Nuclear Fission ?

A

is Splitting up of large nuclei into two smaller nuclei’s

  • a-lot of energy released due to new smaller nuclei’s having higher BE/A
  • energy released as kinetic energy of particles
  • can be SPONTANEOUS or INDUCED
55
Q

What must nuclei overcome for Fusion to occur ?

A
  • all nuclei are positively charged - will be electrostatic force of repulsion between them
  • only fuse if they overcome this electrostatic force and get close enough for the attractive force of the strong interaction to hold them together (1Mev of Ek)
  • Low-energy nuclei are deflected by electrostatic repulsion
56
Q

What occurs in Induced fission - chain reaction ?

A
  • Neutron fired at Uranium which creates daughter Products and 2 neutrons which are slowed down by Moderator to form thermal neutrons for chain reaction t occur
57
Q

How do Nuclear Fission Reactors consist of ?

A
  • Concrete case
  • Fuel rods
  • Control rods
  • Moderator
  • Coolant which turn into Steam (turn turbines)
58
Q

What is chain reaction ?

A

at least one fission neutron subsequently goes onto produce another fission event
- induce other nuclei to fission

59
Q

What is the Purpose of the Moderator in Reactor ?

A
  • Fuel rods placed in Moderator e.g Water/Graphite
  • Slow down fission neutrons to become thermal neutrons (chain reaction)
  • Slow down by ELASTIC COLLISIONS
60
Q

How is Moderation made from Elastic collisions ?

A
  • Momentum and kinetic energy conserved
    1) MnVn = MnV’n+ MmV’m (Momentum)
    2) 1/2MnVn^2 = 1/2MnV’n^2+ 1/2MmV’m^2 (Kinetic Energy)
  • Mn = Mm = M -> V’m = Vn
  • Similar masses cause all energy transferred to moderator particles
61
Q

What is Critical Mass ?

A

the amount of fuel needed for chain reactions to continue on its own at a steady rate
- < Critical mass - reaction will just petal out

62
Q

What is the Purpose of the Coolant in Reactor ?

A
  • help remove heat produced by fission

- material which is efficient at transferring heat - make steam for turbines

63
Q

What are the Safety aspects of the Nuclear reactor ?

A

1) Reactor shielding
2) Emergency Shut-down
3) Handling + Store Fission waste products

64
Q

What are the Safety aspects of the Nuclear reactor ?

A

1) Reactor shielding
2) Emergency Shut-down
3) Handling + Store Fission waste products

65
Q

What is the Emergency Shut-down of a Reactor ?

A
  • shut down automatically by the release of control rods into the reactor
  • slow down the reaction as quickly as possible
  • prevent melt-down
66
Q

How to Handle + Store Fission waste products ?

A

HANDLING

  • placing in cooling ponds as very hot (serval months)
  • reprocessing
  • stored in sealed containers until activity has fallen sufficiently
67
Q

What is Society View on Nuclear Power ?

A

PRO’S
- long lasting than fossil fuels
- no greenhouses gases released
- very efficient (generate more electrical energy per kg)
CON’S
- built and designed extremely carefully to minimise the danger of natural disaster

68
Q

What is Society View on Nuclear Power ?

A

PRO’S
- long lasting than fossil fuels
- no greenhouses gases released
- very efficient (generate more electrical energy per kg)
CON’S
- built and designed extremely carefully to minimise the danger of natural disaster
- radioactive waste products - storage