Nuclear Physics Test Questions – Flashcards

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The Thomson model
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positively charged globule negatively charged electrons sprinkled in it plum pudding model
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Rutherford's scattering experiment
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stream of alpha particles from a radioactive source fired at very thin gold foil Geiger and Marsden recorded the no of alpha parties scattered at different angles alpha particles hit a fluorescent screen producing a tiny visible flash of light
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outcomes of the Rutherford experiment if the Thomson model was correct
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all flashes should have been seen within a small anger of the beam little deflection
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actual outcomes and conclusions of the rutherford experiment
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most of the fast, charged alpha particles went straight through the gold foil- atom mostly empty space some particles deflected back through significant angles- centre of atom tiny but very massive alpha particles repelled- nucleus has a positive charge atom are neutral overall- electrons must be on the outside of the atom separating one atom from the next
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nuclear model of the atom
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nucleus containing protons and neutrons (nucleons) electrons orbiting the core nucleons 2000 times more massive than electrons nucleus 10000th size of the whole atom
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proton number
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no of protons and electrons results in chemical properties
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nucleon number
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mass number number of nucleons is about the same as the atom's mass as electrons weigh virtually nothing
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diameter of an atom
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0.1nm
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diameter of the smallest nucleus
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2fm
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isotopes
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atoms with the same no of protons but different numbers of neutrons
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effect of changing the number of neutrons
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doesn't affect chemical properties affects stability of the nucleus unstable nuclei may be radioactive
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nuclear density
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around 1.5x10^17kg/m3
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nuclear density > atomic density shows that
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most of an atoms mass is in its nucleus nucleus is small compared to the atom atom contains a lot of empty space
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electrostatic force in the nucleus
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protons have an equal positive charge repel each other FR = 2.3N
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gravitational force in the nucleus
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two massive objects will attract each other FA = -1.86x10-36N
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why must the strong nuclear force exist
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electrostatic force is far bigger than the gravitational force nucleons would fly apart must be another attractive force
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features of the strong nuclear force
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must be an attractive force larger than the electrostatic force short range- up to 10fm strength between nucleons quickly falls beyond this distance works equally between all nucleons repulsive at very small separations (less than 0.5fm)- otherwise nothing to stop it crushing the nucleus to a point
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radioactive decay
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unstable atoms break down to become more stable decay b releasing energy and/or particles until reaches a stable form
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instability caused by
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too many neutrons not enough neutrons too many nucleons too much energy in the nucleus
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alpha radiation
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helium nucleus +2 charge mass of 4u
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Beta-minus
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electron -1 charge negligible mass
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Beta-plus
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positron +1 charge negligible mass
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gamma radiation
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short-wavelength, high frequency electromagnetic wave 0 charge 0 mass
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ionising radiation
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radioactive particle hits an atom knocks of electrons, creating an ion
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features of alpha
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strongly ionising slow speed absorbed by paper or a few cm of air affected by magnetic field
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features of Beta-minus
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weakly ionising fast speed absorbed by 3mm of aluminium affected by magnetic field
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features of Beta-plus
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annihilated by electron virtually 0 range
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features of gamma
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very weakly ionising speed of light absorbed by many cm of lead or several m of concrete not affected by magnetic field
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uses of radioactive substances
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dating organic material diagnosing medical problems sterilising food smoke alarms
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radiocarbon dating
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carbon-14 living plants take in carbon-14 during photosynthesis activity of carbon-14 starts to fall when they die half-life of 5730 years archeological finds can be tested to find the current amount of carbon-14 anthem and date them
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smoke detectors
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weak source of alpha radiation close to two electrodes radiation ionises air and a current flows smoke absorbs the radiation current stops and alarm sounds alpha allows current to flow but doesn't travel very far
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ionising property of alpha
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strongly positive easily pull electrons of atoms losing an atom transfers some of the energy from the alpha particle to the atom alpha particle quickly ionises many atoms and loses all its energy 10,000 ionisations per particle
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ionising power of Beta-minus
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lower mass and charge but higher speed 100 ionisations per particle cause less damage to the body tissue than alpha
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use in medicine
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Beta-minus used to target and damage cancerous cells passes through healthy tissue without causing too many problems gamma used for diagnostic techniques even more weakly ionising so does less damage
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features of radioactive decay
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completely random- can't predict which atom will decay when overall behaviour of a very large no of atoms shows a pattern any sample of a particular isotope has the same rate of decay
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activity of a sample
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no of atoms that decay each second proportional to the size of the sample
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decay constant ⋋
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measures how quickly an isotope will decay s-1
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activity =
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decay constant x number of atoms
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half-life (T1/2)
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the average time it takes for the number of undecided atoms in an isotope to halve
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how is half-life measured
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measuring the time it takes for the activity to halve ln2/⋋
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N =
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No e^-⋋t
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A =
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Ao e^-⋋t
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similarities between discharging capacitors and radioactive isotopes
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exponential decay quantity that decays is Q- amount of charge left/ N- number of unstable nuclei remaining initially charge/ number of nuclei is Qo/No amount of charge takes CR seconds to fall to 37% number of nuclei takes 1/⋋ to fall to 37% half-life for charge is ln2xCR half-life for number of nuclei is ln2/⋋
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stability graph
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Z (atomic number) against N (number of neutrons) line of stability plotted using a stable nuclei beta-minus emitters above line beta-plus emitter below line alpha emitters Z>82
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when does alpha emission happen
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in very heavy atoms more than 82 protons e.g. uranium, radium nuclei too massive to be stable
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When does Beta-minus emission happen
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electron and an antineutrino in isotopes that have many more neutrons than protons one of the neutrons in the nucleus is changed into a proton
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when does gamma emission happen
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nucleus has excess energy- excited energy lost by emitting game ray often happens after alpha or beta decay
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what is conserved in nuclear reactions
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energy momentum proton number/charge nucleon number
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why is mass not conserved
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E = mc2 mass and energy are equivalent energy released when the nucleons bonded together account for the missing mass energy released = mass defect x c2
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mass defect
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the mass of a nucleus is less than the mass of its constituent parts
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hadrons
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feel the strong interaction not fundamental particles mad cup of quarks baryons and mesons
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baryons
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protons and neutrons sigmas all decay to protons protons are the only stable baryon
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baryon number
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number of baryons total baryon number in any particle reaction never changes
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mesons
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unstable baryon no B = 0 pions Kaons mesons interact with baryons via the strong interaction
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pions
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lightest mesons 3 versions with different electric charges- π+, π0, π- discovered in cosmic rays lots in high energy particle collisions
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Kaons
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heavier and more unstable than pions K+, K-, K0
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leptons
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fundamental particles don't feel the strong interaction weak interaction, gravity and electromagnetic force if charged electrons, muons and taus each have they own neutrino
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muons and taus
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heavy electrons unstable decay into stable electrons
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neutrinos
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0 or almost 0mass 0 charge only take part in weak interactions can pass right through the Earth without anything happening to it
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lepton number
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each lepton has a lepton number of +1 electron, muon and tau have to be counted separately
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neutron decay
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neutron --> proton + electron + antineutrino caused by the weak interaction
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prediction of antiparticles
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Paul Dirac predicted the positron like the electron but with opposite electric charge discovered in a cosmic ray experiment
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antiparticles
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have the same mass but with opposite charge baryon/ lepton numbers of -1
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creating matter and antimatter from energy
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E = mc2 when energy is converted into mass you have to make equal amounts of matter and antimatter
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particle-antiparticle production
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one gamma ray photon has enough energy to produce that much mass tends to happen near nucleus- helps conserve momentum usually electron-positron pairs because they have a relatively low mass
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why are the particle tracks curved
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usually a magnetic field present in particle physics experiments curve i opposite directions because of the opposite charges
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annihilation
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particle meets an antiparticle mass converted to energy (gamma ray photons) antiparticles can only exist for a fraction of a second before this happens
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antiparticles of mesons
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itself π- antiparticle of π+ π0 antiparticle is itself
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quarks
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building blocks for hadrons up quark (u) down quark (d) strange quark (s) top bottom charm
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antiquarks
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make up antiparticles of hadrons opposite properties to quarks
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up quark
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u +2/3 charge +1/3 baryon number 0 strangenesss
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down quark
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d -1/3 charge +1/3 baryon number 0 strangeness
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strange quark
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s -1/3 charge +1/3 baryon number -1 strangeness
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evidence for quarks
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hitting protons with high energy electrons the way electrons scattered showed there were three concentration of charge inside the proton
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quarks in a proton
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uud
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quarks in a neutron
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udd
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quarks in pions
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up and own quarks and their antiquarks two quarks per pion
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quarks in kaons
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have strangeness s quark + up/down quark or antiquarks two quarks per kaon
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quark confinement
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cannot operate quarks if you blast a proton with enough energy, the energy just gets change into more quarks and antiquarks makes mesons
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weak interaction
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can change a d quark into a u quark neutron --> proton
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properties conserved in particle reactions
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total charge baryon number strangeness three types of lepton number seperately
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binding energy
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energy needed to separate all of the nucleons in a nucleus equivalent to the mass defect measure in MeV
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binding energy per unit of mass defect
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1u = 931MeV
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binding energy per nucleon
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binding energy B/ nucleon number A
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high binding energy per nucleon means
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more energy is needed to remove nucleons from the nucleus more stable
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maximum point of a binding energy per nucleon against nucleon number graph
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nucleon number 56 iron
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change in binding energy =
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energy released
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fission
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large nuclei that are unstable (at least 83 protons) randomly split into two smaller nuclei
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spontaneous fission
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happens by itself the larger the nucleus the more unstable so the more likely limits the no of nucleons a nucleus can contain limits the no of possible elements
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induced fission
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we encourage it to happen make a neutron enter a uranium-235 nucleus causes it to become very unstable
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thermal neutron
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a low energy neutron
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why is energy released during fission
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new, smaller nuclei have a higher binding energy per nucleon increase in the binding energy per nucleon
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nuclear reactors
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road son uranium that are rich in uranium-235- fuel fission reactions produce more neutrons which induce other nuclei to fission- chain reaction neutrons slowed down so they can be captured by the uranium nuclei- thermal neutrons fuel rods placed in a moderator to slow down and absorb neutrons critical mass control rods coolant- removes heat and used to make steam
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choice of moderator
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slow down some of the neutrons enough to cause further fission reaction continues at a steady rate a moderator that absorbs more neutrons the higher the temperature will decrease the chance of meltdown if the reactor overheats
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critical mass
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the amount of fuel needed for one fission to follow another at a steady rate any less is sub-critical mass
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supercritical mass
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several new fissions normally follow each fission
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control rods
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limit the no of neutrons in the reactor absorb neutrons so rate of fission is controlled made of boron can be inserted by varying amounts to control reaction rate released fully during an emergency to stop reaction as quickly as possible
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atomic bombs
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runaway reaction large amounts of energy released in a very short time many new fission follow each fission
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fission waste products
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larger proportion of neutrons than stable nuclei of a similar atomic number unstable and radioactive can be used for practical applications e.g. medical tracers
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disposing of fission waste
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initially very hot placed in cooling ponds until the temperature falls to a safe level stored underground in sealed containers until the activity has fallen sufficiently
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fusion
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two light nuclei combine to create a larger nucleus
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why does fusion release energy
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increases binding energy per nucleon dramatically lot of energy released
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requirement for fusion
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nuclei must have enough energy to overcome the electrostatic repulsion between them and get close enough for the strong interaction to bind them 1MeV of energy
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fusion in stars
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temperature in the core of stars is so high atoms dont exist- electrons stripped away leaving a plasma energy released helps to maintain the temperature for further fusion reactions
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plasma
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mixture of positively charged nuclei and free electrons
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problem with experimental fusion reactors
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electricity generated is less than the amount needed ti get the reactor up to temperature
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suggest why a alpha source is the most suitable for smoke detectors
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most strongly ionising more likely to be absorbed by smoke range is small so unlikely to constitute a hazard to the user
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spontaneous nuclear decay
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decay of a particular nucleus is not affected by the presence of other nuclei decay of nuclei cannot be affected by chemical reactions or external factors such as temperature and pressure
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random nuclear decay
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impossible to predict when a particular nucleus in a sample is going to decay each nucleus in a sample has the same chance of decaying per unit time
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decay constant
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probability that an individual nucleus will decay per unit time interval
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activity
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rate at which nuclei in a radioactive sample decay or disintegrate
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reasons why count rate is lower than activity of a sample
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gamma-rays are not always detected as weakly ionising counter is inefficient some radiation absorbed within the sample before reaching the detector detector directional- some radiation will move away from detector rather than towards it
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carbon dating
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constant fraction of carbon-14 in living tissue once organism decays, radioactive isotope decays gradually measure the fraction of carbon-14 nuclei determine time since death
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problems with carbon dating
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can't be used on material that is less than a century old- material that died recently will show little change in carbon-14 modern living tissue may contain a reduced fraction of carbon-14 because we have burned so much fossil fuel- contains little carbon-14 fraction of carbon-14 is very small- activities are small small uncertainty in the half-life of carbon-14
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similarities and differences between the decay of radioactive nuclei and decay of charge on a capacitor
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both decay exponentially equations same charge remaining on a capacitor after a certain time can be predicted exactly number of undecided nuclei left after a certain time shows statistical variation graph of N against t has random fluctuations because decay is random and spontaneous
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