Compton Scattering - AP Physics 2

1. What is the typical effect of Compton scattering on photon wavelength?

   Increases the wavelength. Photon loses energy, so wavelength increases.

2. What is the significance of Compton scattering in physics?

   Demonstrates particle-like behavior of light. Key evidence for photon nature of light.

3. Find the error: 'Compton scattering only affects visible light.'

   Affects X-rays and gamma rays, not visible light. Should state high-energy photons, not just visible.

4. Calculate the wavelength shift for $\theta = 0^\text{o}$.

   $\triangle \text{λ} = 0$. No scattering means no wavelength change.

5. What does $\theta$ represent in the Compton formula?

   The scattering angle of the photon. Angle determines magnitude of wavelength shift.

6. What is the unit of Planck's constant?

   Joule-seconds (J·s). SI unit for action in quantum mechanics.

7. In Compton scattering, what type of electron interaction occurs?

   Elastic collision. Energy and momentum are conserved.

8. What is the primary conservation law in Compton scattering?

   Conservation of energy and momentum. Both quantities conserved in elastic collision.

9. State the Compton wavelength shift formula.

   $\triangle \text{λ} = \frac{h}{m_e c} (1 - \text{cos} \theta)$. Describes wavelength change based on scattering angle.

10. How does the scattering angle affect the Compton shift?

    Larger angle, larger shift. Greater angle produces greater wavelength shift.

11. Calculate the Compton shift for $\theta = 90^\text{o}$. Assume $h = 6.63 \times 10^{-34} \text{J·s}$.

    $\triangle \text{λ} = \frac{h}{m_e c}$. At $90°$, $\cos(90°) = 0$, so $(1 - \cos \theta) = 1$.

12. What is the relationship between photon energy and frequency in Compton scattering?

    Directly proportional. From $E = hf$ relationship in quantum theory.

13. What does the Compton effect confirm about light?

    Wave-particle duality. Shows light behaves as both wave and particle.

14. What is the significance of $1 - \text{cos} \theta$ in the Compton formula?

    Indicates dependence on scattering angle. Term determines angular dependence of shift.

15. Which particles are typically involved in Compton scattering?

    Photons and electrons. Classic example of photon-matter interaction.

16. How does the Compton effect differ from the photoelectric effect?

    Compton involves scattering; photoelectric involves ejection. Different mechanisms of photon-electron interaction.

17. Identify the constant $h$ in the Compton formula.

    Planck's constant. Fundamental physical constant in quantum mechanics.

18. Find the error in this statement: 'Compton scattering increases photon energy.'

    Photon energy decreases. Should state decrease, not increase.

19. What kind of interaction occurs between the photon and electron in Compton scattering?

    Inelastic interaction. Photon loses energy to electron.

20. In Compton scattering, which quantity remains constant for the photon?

    Speed. Photon speed always equals $c$ in vacuum.

21. What is the outcome for the photon in Compton scattering?

    Longer wavelength, less energy. Result of energy and momentum transfer.

22. What is the role of $c$ in the Compton formula?

    Speed of light in vacuum. Fundamental constant in relativistic equations.

23. What is the theoretical maximum wavelength shift in Compton scattering?

    $\frac{2h}{m_e c}$ at $\theta = 180^\text{o}$. Backscattering gives maximum wavelength shift.

24. What is the value of the electron rest mass $m_e$?

    $9.11 \times 10^{-31} \text{kg}$. Standard physical constant for electron mass.

25. What is the symbol for electron rest mass?

    $m_e$. Standard notation for electron rest mass.

26. Determine the photon energy change at $\theta = 180^\text{o}$.

    Maximum energy loss for photon. Backscattering gives greatest energy transfer.

27. In Compton scattering, what happens to the photon's frequency?

    Decreases. Energy loss means frequency reduction.

28. What happens to the electron in Compton scattering?

    It recoils with increased kinetic energy. Electron gains momentum and kinetic energy.

29. How does electron rest mass affect the Compton shift?

    It is inversely proportional to the shift. Larger mass reduces wavelength shift magnitude.

30. What is Compton scattering?

    Interaction between a photon and an electron resulting in photon energy decrease. Demonstrates photon-electron collision with energy transfer.

31. State the relationship between wavelength and energy in photons.

    Inverse relationship. $E = hf = \frac{hc}{\lambda}$ shows inverse relation.

32. Which phenomenon does Compton scattering help to explain?

    Wave-particle duality of light. Confirms light has particle properties.

33. Identify one real-world application of Compton scattering.

    Medical imaging. Used in CT scans and radiation therapy.

34. What is the term for the photon's change in direction in Compton scattering?

    Scattering angle. Describes photon deflection from original path.

35. What is the typical range of photon energies for Compton scattering?

    X-rays and gamma rays. High-energy photons needed for observable effect.

36. What is the change in photon momentum due to Compton scattering?

    Depends on scattering angle $\theta$. Momentum change varies with scattering direction.

37. What does the Compton formula $\triangle \text{λ} = \frac{h}{m_e c} (1 - \text{cos} \theta)$ imply?

    Wavelength shift depends on angle. Shows angle-dependent nature of interaction.

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