Questions
Question 1
*
What does Compton scattering demonstrate about photons?
Question 2
*
State the Compton wavelength-shift equation.
Question 3
*
What is the electron Compton wavelength?
Question 4
*
What is the photon momentum in terms of wavelength?
Question 5
*+
Find the Compton shift for scattering through \(90^\circ\).
Question 6
**
Find the maximum possible Compton wavelength shift for an electron.
Question 7
*+
What is the Compton shift for forward scattering?
Question 8
**
An x-ray of wavelength \(0.071\,\mathrm{nm}\) scatters through \(90^\circ\). Find the scattered wavelength.
Question 9
**
A photon scatters through \(60^\circ\). Find \(\Delta\lambda\) in terms of \(\lambda_C\).
Question 10
**
For the \(60^\circ\) scattering in question 9, find the numerical shift.
Question 11
**+
Why does the scattered photon have lower energy than the incident photon?
Question 12
**
Does the Compton wavelength shift depend on the incident wavelength?
Question 13
***
Why is Compton scattering easier to observe with x-rays than visible light?
Question 14
**+
A photon has wavelength \(0.0500\,\mathrm{nm}\). Find its momentum using \(h=6.63\times10^{-34}\,\mathrm{J\,s}\).
Question 15
**
What conservation laws are needed to derive the Compton formula?
Question 16
***
Why is a classical wave picture insufficient for Compton scattering?
Question 17
***
A photon wavelength increases from \(0.0400\,\mathrm{nm}\) to \(0.04243\,\mathrm{nm}\). What scattering angle caused this shift?
Question 18
***
Can a Compton-scattered photon from an electron initially at rest have a shorter wavelength than before scattering?
Question 19
****
Show that a \(180^\circ\) scattered photon has the largest wavelength change.
Question 20
***
An incident photon has energy \(100\,\mathrm{keV}\), and after scattering its energy is \(90\,\mathrm{keV}\). Estimate the recoil electron kinetic energy, ignoring binding and rest-energy bookkeeping.