Physics Lecture 10: Photon Interactions
48 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the equation for the energy transferred to pair production?

  • 𝐸_{tr} = ℎ𝑣 + 2𝑚_{e}𝑐^{2}
  • 𝐸_{tr} = 2ℎ𝑣 - 𝑚_{e}𝑐^{2}
  • 𝐸_{tr} = ℎ𝑣 - 2𝑚_{e}𝑐^{2} (correct)
  • 𝐸_{tr} = ℎ𝑣 - 3𝑚_{e}𝑐^{2}
  • Which interaction has a Z-dependence proportional to $Z^4$?

  • Rayleigh scattering
  • Photoelectric effect (correct)
  • Pair production
  • Compton scattering
  • What does the screening correction account for in photon interactions?

  • The energy loss of the photon
  • The absorption of photons by the nucleus
  • The interaction of photons with electrons in the K-shell (correct)
  • The binding energy of electrons
  • What is the behavior of $a_{pp}$ when there is complete screening?

    <p>It is proportional to $Z^2$</p> Signup and view all the answers

    What effect does increasing photon energy have on pair production's cross-section?

    <p>It is proportional to the natural logarithm of energy</p> Signup and view all the answers

    Which interaction exhibits a $Z^2$ dependency alongside a logarithmic energy dependence?

    <p>Pair production</p> Signup and view all the answers

    Which of the following interactions is primarily affected by photon energy, decreasing as $1/hv^3$?

    <p>Photoelectric effect</p> Signup and view all the answers

    What type of photon interaction is characterized by a dependence of $Z$ and the logarithm of energy?

    <p>Triplet production</p> Signup and view all the answers

    As the atomic number (Z) increases, how does the probability of the photoelectric effect (PE) change?

    <p>It increases due to the raising atomic cross section related to Z.</p> Signup and view all the answers

    What happens to the probability of the photoelectric effect as photon energy (E) increases?

    <p>It decreases with photon energy, exhibiting a dependency of (1/hv)^3 at low energies.</p> Signup and view all the answers

    What is indicated by the cliffs observed on graphs of the atomic attenuation coefficient for the photoelectric effect around absorption edges?

    <p>Theoretical predictions in this region are uncertain.</p> Signup and view all the answers

    Which statement describes how the mass attenuation coefficient behaves in relation to atomic number (Z)?

    <p>It remains independent of Z, with a consistent value across different elements.</p> Signup and view all the answers

    What type of electron is produced during the photoelectric effect, and how is its emission characterized?

    <p>An ejected photoelectron has a specific energy but varying angles of emission.</p> Signup and view all the answers

    What defines the three distinct regions in the atomic attenuation coefficient for the photoelectric effect?

    <p>Energy dependence relative to absorption edges and relativistic regions.</p> Signup and view all the answers

    How does the photoelectric atomic cross section relate to photon energy at low energies?

    <p>It shows an increasing relationship expressed as (1/hv)^3.</p> Signup and view all the answers

    What general trend is observed in the mass energy transfer coefficient during the Compton scattering process?

    <p>It varies with Z and photon energy during scattering.</p> Signup and view all the answers

    What is a primary charged particle used in medical physics?

    <p>Protons</p> Signup and view all the answers

    Which of the following interactions results in the release of two 511 keV photons?

    <p>Pair production</p> Signup and view all the answers

    What energy level of photon is specified in the context of lead interactions for mass energy absorption coefficient calculation?

    <p>4 MeV</p> Signup and view all the answers

    In medical physics, which charged particle interaction is primarily responsible for ionization?

    <p>Coulomb interactions</p> Signup and view all the answers

    Which secondary charged particle is produced during Auger effect?

    <p>Electrons</p> Signup and view all the answers

    What type of particle therapy uses heavy ions, such as Carbon-6?

    <p>Particle therapy</p> Signup and view all the answers

    What happens when a positron interacts with an electron?

    <p>They annihilate, releasing 511 keV photons</p> Signup and view all the answers

    Which of the following interactions is associated with the absorption of a 2 MeV photon by lead?

    <p>Compton scattering</p> Signup and view all the answers

    What is the primary result of the photoelectric effect?

    <p>Ejection of an electron with energy hv - Eb</p> Signup and view all the answers

    Which photon interaction involves the production of both a photon and an electron?

    <p>Compton effect</p> Signup and view all the answers

    Which of the following correctly describes the energy dependency of the pair production interaction?

    <p>Requires photon energy to exceed 1.022 MeV</p> Signup and view all the answers

    During which interaction does a positron annihilate with a resting electron?

    <p>Pair production</p> Signup and view all the answers

    What happens to the kinetic energy of a Compton recoil electron for photon energies between 10 keV and 3 MeV?

    <p>It increases with the energy of the incoming photon</p> Signup and view all the answers

    What is the primary effect of energy transfer to the medium in Compton scattering?

    <p>Both scattered photon and electron impart energy</p> Signup and view all the answers

    Which of the following interactions results in complete energy transfer from the photon to the medium?

    <p>Photoelectric effect</p> Signup and view all the answers

    What does the average kinetic energy of a photoelectron depend on?

    <p>Binding energy and incoming photon energy</p> Signup and view all the answers

    What effect does an incoming photon have on an electron according to Thompson scattering?

    <p>The oscillating EM field causes the electron to oscillate.</p> Signup and view all the answers

    In the context of the Compton effect, what happens as photon energy increases?

    <p>Scattering becomes more forward peaked, reducing backscattering probability.</p> Signup and view all the answers

    What is the significance of the Klein Nishina Coefficient in the Compton effect?

    <p>It varies from 0 to 1 based on energy and scattering angle.</p> Signup and view all the answers

    What is the value of the total Compton cross-section at low energies?

    <p>$0.665$ barns</p> Signup and view all the answers

    When considering the Compton scattering angles, how does side scattering compare to back and forward scattering at low energies?

    <p>Side scattering is half of the combined forward and back scattering probabilities.</p> Signup and view all the answers

    What assumption is made regarding electrons in the analysis of the Compton effect?

    <p>Electrons are assumed to be at rest and free.</p> Signup and view all the answers

    What is the primary effect of low photon energy on the electron interaction compared to higher energies?

    <p>Photoelectric effect dominates at low photon energies.</p> Signup and view all the answers

    Which factor does the Compton atomic cross-section depend on?

    <p>Z dependence and photon energy.</p> Signup and view all the answers

    What is the energy dependence trend in the photoelectric effect at high photon energy (hv)?

    <p>1/hv</p> Signup and view all the answers

    What happens when only characteristic x-rays are emitted during the photoelectric effect?

    <p>Energy transferred equals incoming photon energy minus binding energy.</p> Signup and view all the answers

    Which atomic number dependence trend is observed in the photoelectric effect?

    <p>Goes from Z4 to Z5</p> Signup and view all the answers

    What occurs if only Auger electrons are emitted hypothetically during the photoelectric effect?

    <p>KE of emitted electrons is approximately equal to incoming photon energy.</p> Signup and view all the answers

    Which of the following represents the energy transferred to charged particles if only Auger electrons are emitted?

    <p>Et ≈ hv</p> Signup and view all the answers

    How is the total energy transferred during the photoelectric effect determined?

    <p>By calculating the difference between incoming energy and all emitted particles' energies.</p> Signup and view all the answers

    What is the outcome if no characteristic x-rays are produced during the photoelectric effect?

    <p>All excess energy is converted into kinetic energy of emitted photoelectrons.</p> Signup and view all the answers

    In the photoelectric effect, what does the term 'mass attenuation coefficient' refer to?

    <p>It is the measurement of a material's ability to absorb photons.</p> Signup and view all the answers

    Study Notes

    Pair Production

    • The energy transferred to pair production can be calculated using the equation: E=2m0c2+KEe+KEpE = 2m_0c^2 + KE_e + KE_pE=2m0​c2+KEe​+KEp​, where m0m_0m0​ is the rest mass of an electron, ccc is the speed of light, KEeKE_eKEe​ is the kinetic energy of the electron, and KEpKE_pKEp​ is the kinetic energy of the positron.

    Z-dependence

    • The interaction that exhibits a Z4Z^4Z4 dependence is the photoelectric effect.

    Screening Correction

    • The screening correction in photon interactions accounts for the shielding of the nucleus by the surrounding electrons. This correction is especially relevant for high-energy photons.

    Screening and appa_{pp}app​

    • When there is complete screening, the appa_{pp}app​ value reaches its maximum, signifying full shielding of the nucleus.

    Pair Production Cross-section

    • Increasing photon energy, within the range of pair production, increases the cross-section of the interaction.

    Logarithmic Energy Dependence

    • The interaction that exhibits a Z2Z^2Z2 dependence alongside a logarithmic energy dependence is the Compton scattering.

    Photon Energy Dependence

    • The interaction that is primarily affected by photon energy, decreasing as 1/hv31/hv^31/hv3 is the photoelectric effect.

    Z and Logarithm of Energy

    • The photon interaction that exhibits dependence on both ZZZ and the logarithm of energy is pair production.

    Photoelectric Effect and Atomic Number

    • As atomic number (Z) increases, the probability of the photoelectric effect (PE) also increases.

    Photoelectric Effect and Photon Energy

    • As photon energy (E) increases, the probability of the photoelectric effect decreases.

    Atomic Attenuation Coefficient Cliffs

    • The "cliffs" observed on graphs of the atomic attenuation coefficient for the photoelectric effect around absorption edges indicate the binding energy of electrons in a specific shell. When photon energy exceeds the binding energy, the photoelectric effect becomes much more probable.

    Mass Attenuation Coefficient and Z

    • The mass attenuation coefficient generally increases proportionally to the atomic number (Z), although the exact relationship can be more complex.

    Photoelectric Effect and Electron Emission

    • The electron produced during the photoelectric effect is a photoelectron, and its emission is characterized by being energetic and its ejection from the atom.

    Atomic Attenuation Coefficient Regions

    • The three distinct regions in the atomic attenuation coefficient for the photoelectric effect are defined by:
      • Low energy region: Photoelectric effect dominates
      • Intermediate energy region: Compton scattering dominates
      • High energy region: Pair production dominates

    Photoelectric Atomic Cross-section and Energy

    • At low energies, the photoelectric atomic cross-section is inversely proportional to the fourth power of photon energy.

    Compton Scattering Mass Energy Transfer Coefficient

    • During the Compton scattering process, the mass energy transfer coefficient generally decreases as photon energy increases.

    Primary Charged Particle

    • A primary charged particle used in medical physics is an electron.

    511 keV Photons

    • The interaction that results in the release of two 511 keV photons is positron annihilation.

    Lead Interaction Energy Level

    • For calculations involving the mass energy absorption coefficient in lead, the relevant photon energy is 1 MeV.

    Ionization Responsible Particle

    • In medical physics, the charged particle interaction primarily responsible for ionization is the electron interaction.

    Auger Effect Secondary Particle

    • During the Auger effect, the secondary charged particle produced is the Auger electron.

    Heavy Ion Therapy

    • Particle therapy using heavy ions, such as Carbon-6, is called hadron therapy.

    Positron-Electron Interaction

    • When a positron interacts with an electron, annihilation occurs, resulting in the production of two 511 keV photons.

    Photon Absorption by Lead

    • The absorption of a 2 MeV photon by lead is primarily attributed to pair production.

    Photoelectric Effect Outcome

    • The primary result of the photoelectric effect is the emission of a photoelectron.

    Photon-Electron Interaction

    • The photon interaction involving the production of both a photon and an electron is Compton scattering.

    Pair Production Energy Dependence

    • The energy dependency of the pair production interaction can be described as increasing with photon energy above a threshold (1.022 MeV).

    Positron Annihilation

    • The interaction where a positron annihilates with a resting electron is specifically called positron annihilation.

    Compton Recoil Electron Energy

    • For photon energies between 10 keV and 3 MeV, kinetic energy of a Compton recoil electron increases with increasing photon energy.

    Energy Transfer in Compton Scattering

    • The primary effect of energy transfer to the medium in Compton scattering is the production of heat.

    Complete Energy Transfer

    • The interaction that results in complete energy transfer from the photon to the medium is the photoelectric effect.

    Photoelectron Average Kinetic Energy

    • The average kinetic energy of a photoelectron depends on the binding energy of the electron in the atomic shell, which can be influenced by the specific atom.

    Photon Effect on Electron (Thompson Scattering)

    • According to Thompson scattering, an incoming photon causes an electron to oscillate, which then emits radiation. The photon itself is not absorbed.

    Photon Energy Increase in Compton Effect

    • As photon energy increases in the Compton effect, the Compton scattering angle decreases, meaning the scattered photon is more likely to be deflected in the forward direction.

    Klein-Nishina Coefficient

    • The Klein-Nishina Coefficient in the Compton effect quantifies the probability of Compton scattering for a given photon energy and angle.

    Compton Total Cross-section at Low Energies

    • At low energies, the total Compton cross-section is proportional to the square of the electron's classical radius.

    Compton Scattering Angles

    • At low energies, side scattering is more prevalent compared to back and forward scattering in the Compton effect.

    Compton Effect Electron Assumption

    • The analysis of the Compton effect assumes that electrons are free and stationary.

    Low Photon Energy Impact

    • Compared to higher energies, low photon energy results in a smaller energy transfer to the electron, with a larger scattering angle.

    Compton Atomic Cross-section Dependence

    • The Compton atomic cross-section depends on the atomic number (Z) and the photon energy.

    Photoelectric Effect Energy Dependence at High Energy

    • At high photon energy (hv), the energy dependence of the photoelectric effect follows a trend of decreasing with increasing photon energy.

    Characteristic X-Ray Emission

    • When only characteristic x-rays are emitted during the photoelectric effect, the total energy transferred is the difference between the incident photon energy and the binding energy of the electron.

    Photoelectric Atomic Number Dependence

    • The photoelectric effect exhibits an atomic number (Z) dependence, characterized by an increase in probability with increasing Z.

    Auger Electron Emission

    • If only Auger electrons were emitted during the photoelectric effect, hypothetically, the total energy transferred would be equal to the difference between the incident photon energy and the binding energy of the electron, minus the energy associated with the Auger electron.

    Energy Transferred with Auger Electrons

    • The energy transferred to charged particles if only Auger electrons are emitted is equal to the energy of the Auger electron.

    Total Energy Transfer in Photoelectric Effect

    • The total energy transferred during the photoelectric effect is determined by adding the energy of the photoelectron and the characteristic x-rays that are emitted.

    No Characteristic X-ray Emission

    • If no characteristic x-rays are produced during the photoelectric effect, all the energy of the incident photon is transferred to the photoelectron.

    Mass Attenuation Coefficient

    • In the photoelectric effect, the term 'mass attenuation coefficient' refers to the probability per unit mass that a photon will interact via the photoelectric effect.

    Studying That Suits You

    Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

    Quiz Team

    Related Documents

    Description

    This lecture focuses on various interactions between photons and charged particles. It reviews key concepts such as the photoelectric effect, pair production, and attenuation coefficients, along with important equations and diagrams. Students will deepen their understanding of photon behavior and related phenomena in physics.

    More Like This

    Photon Interactions with Atoms
    3 questions
    Photoelectric Effect Basics
    4 questions

    Photoelectric Effect Basics

    AppreciablePrairieDog avatar
    AppreciablePrairieDog
    Use Quizgecko on...
    Browser
    Browser