PARTICLE PHYSICS AND QUANTUM PHYSICS AS Flashcards
Describe the process of pair production.
-when a gamma ray photon interacts with a nucleus
-producing a particle anti-particle pair
- energy of photon must be > 2x rest energies of particles
- nucleus gains backwards momentum to conserve momentum
-extra energy is split evenly into the kinetic energies of the particles
Describe the process of ANNIHILATION.
- when a particle and it’s corresponding antiparticle meet and destroy each other
-mass is converted into energy and split evenly in the form of two gamma photons travelling in opposite directions to conserve momentum - 2RE + KE = 2E
Draw the diagram for beta-minus decay
n –(W- boson)–> p + e- + electron anti-neutrino
Draw the diagram for beta-plus decay
p –(W+ boson)–> n + e+ + electron neutrino
Draw the Feynman Diagram for electron capture.
p + e- –(W+ boson)–> n + electron neutrino
Give the Feynman diagram for electron-proton collision.
p + e- –(W- boson)–> n + electron neutrino
Sketch the Feynman Diagram of EMF repulsion.
two protons on either side, with a virtual photon connecting them.
Must be labeled with gamma symbol, and have no arrows on the virtual photon as it is chargeless
Give the equation for specific charge. Now, without working, explain how you can tell which has the greater magnitude of specific charge: an electron or a proton.
specific charge = Q/m. Since specific charge is directly proportional to 1/m, an electron will certainly have the larger magnitude of specific charge.
A sample of bromine gas contains a mixture of 2 isotopes. Each molecule has 2 bromine atoms. The experiment finds that the bromine molecules contain 158, 160 and 162 nucleons. Bromine has an atomic number of 35. Find the number of neutrons for the isotope with the greater nucleon number.
Let x = nucleon number of isotope 1 and y = nucleon number of isotope 2. y > x.
Form 2 eqns: x + y =160, 2x = 158.
x = 79
y = 81
81-35 = 46.
State the magnitude of charge of an electron. Don’t forget significant figures and include units.
1.60 x 10^-19 C
State the mass of a nucleon. to 3 sig fig.
1.67 x 10 ^ -27 kg
State the value of planck’s constant and give units.
6.63 x 10 ^-34 Js
Describe in full detail, the forces that are responsible for keeping protons and neutrons together in a stable nucleus.
In a nucleus, there is electrostatic force of repulsion between protons
For the nucleus to remain stable, the SNF provides an attractive force between nucleons between 0.5 and 3fm.
Below 0.5fm, the SNF is repulsive to prevent nucleons collapsing into a singularity.
Above 3fm, the SNF is 0 to prevent nucleons in other nuclei being attracted.
Explain, using your knowledge of the ranges of the 4 fundamental forces, why heavier elements require more neutrons than protons to be stable.
The EMF force acts over an infinite range, while the SNF only acts over distances around 10^-15m.
Each proton in the nucleus will experience EMF repulsion from every other proton in the nucleus. However each nucleon only has the SNF force acting from adjacent nucleons.
Therefore the EMF force of repulsion grows exponentially greater than the SNF force of attraction.
This means more neutrons are required, which are not charged and don’t add EMF rupulsion, to provide the extra attractive force to keep the nucleus stable.
Explain why certain types of nuclei undergo alpha decay
very large/heavy nuclei
because they are too massive for the SNF to keep them stable.
State and explain which certain types of nuclei undergo beta-minus and beta-plus decay.
for beta-minus, neutron rich nuclei
for beta-plus, proton rich nuclei
[NOT REQUIRED KNOWLEDGE] The nuclear shell model says that protons and neutrons exist in energy levels in a nucleus, due to the pauli exclusion principle. If there is an excess of either neutrons of protons, it is energetically favourable for one of the excess to decay into the other and have it fill a lower energy level, where the binding energy is greater.
Describe in full detail, why the existence of the electron anti-neutrino was postulated.
- emitted beta- particles from beta-minus decay have a range of KE from 0 up to a maximum
- but all beta- particles have energies < total energy
- to conserve energy, there must be an additional particle that carries away some KE.
- electron antineutrino.
State the type of nuclei that undergo gamma decay.
nuclei with excess energy, usually after an alpha or beta decay but not always.
236/92 U undergoes a series of decays to produce 204/82 Pb. How many alpha decays are involved in this process?
8
Explain what is meant by wave-particle duality.
light exhibits both wave-like and particle-like properties
photon
a discrete packet/ quantum of EM energy
Define the unit of the electron-volt.
The energy gained by an electron that passes through a potential difference of 1 volt.
Why are electon-positron pairs more likely to be pair produced than any other pair?
electrons/positrons have the smallest mass and rest energies
which require the least energy to create
Explain why there is a minimum energy in pair production.
Conservation of energy means energy before = energy after
photon must supply at least rest energy of particle and anti-particle to create particles
Explain why pair production cannot take place if the frequency of the photon is below a certain value.
E = hf, so E is directly proportional to f
But energy of photon must be > 2 x rest energy of particle/antiparticle
if frequency is too low, energy is too low.
A gamma photon of energy 1.9 MeV undergoes pair production and creates an electron-positron pair. The energy of the photon is greater than the minimum energy required. Assuming the kinetic energy is split equally, calculate the kinetic energy of one of the particles in MeV.
E before = E after
1.9MeV = 2 x RE + 2 x KE
1.9MeV = 1.022MeV + 2 x KE
0.878MeV = 2 x KE
KE = 0.439MeV
In annihilation, a particle and it’s corresponding anti-particle meet and destroy each other, producing 2 gamma photons. a) State the equation that gives the minimum energy of a gamma photon produced. b) Explain why the gamma photon is likely to have an energy greater than that predicted by the equation.
a) The equation is:
2RE = 2Emin, so Emin = RE
b) The equation assumes 0 kinetic energy
However the particles must have some kinetic energy in order to collide
[NOT REQUIRED KNOWLEDGE] How does a PET scanner work?
patient injected with radioaactive isotope that emits positrons (via beta-plus decay)
the positrons emitted quickly annihilate with electrons
producing 2 gamma photons that can be detected
cancerous cells uptake the radioactive isotope at a faster rate and so produce more photons
so locations of cancerous tumours can be identified.
Explain the role of exchange particles for the 4 fundamental forces.
Exchange particles give rise to the forces between particles
by transferring momentum between them
Name the 4 fundamental forces and their exchange particles. Give the approximate ranges.
Strong - pions ~10^-15m
EMF - virtual photons infinite
Weak - w bosons ~10^-18m
Gravity - gravitons (theoretical) infinite
What type of particles are affected by the weak interaction?
All
What types of particles are affected by the strong interaction?
hadrons
The weak nuclear force acts over a much shorter distance than the strong force. Explain why this is using your knowledge of exchange particles.
-exchange particles for WNF (W bosons) are much heavier than for SNF (pions)
-particles with greater mass require more energy to create
-particles with greater energies are less stable and have shorter lifespans
-so W bosons travel a shorter distance before decaying.