J Question 4: (a) Based on the Compton scattering formula, at what angle would one observe the maximum shift in a Compton scattered wavelength? Use this information to calculate largest wavelength of Compton-scattered radiation whose initial (incident) wavelength is 0.0050 x 10-3 A. What is the angular frequency (w) of the scattered photons? (b) Consider a particles (ma = 6.64 x 10-27 kg) that are accelerated to a kinetic energy of 1099 MeV. Calculate the a momentum and wave number using relativistic expressions. What answer do you get if you use non-relativistic physics? Question 5: Assume a two-slit experiment performed with a low-intensity source of electrons, as discussed in class. Based on the experimental results, explain why does the wavefunction (that describes such electrons) has to necessarily be a complex quan- tity? Question 6: Assume that a travelling wave packet's phase velocity is 23/k, where B' is a constant and k is wave number. Calculate the wave's group velocity. Question 7: Normalize the wavefunction (x) = Ae(-2x²/√√a³)+(ikx)

J Question 4: (a) Based on the Compton scattering formula, at what angle would one observe the maximum shift in a Compton scattered wavelength? Use this information to calculate largest wavelength of Compton-scattered radiation whose initial (incident) wavelength is 0.0050 x 10-3 A. What is the angular frequency (w) of the scattered photons? (b) Consider a particles (ma = 6.64 x 10-27 kg) that are accelerated to a kinetic energy of 1099 MeV. Calculate the a momentum and wave number using relativistic expressions. What answer do you get if you use non-relativistic physics? Question 5: Assume a two-slit experiment performed with a low-intensity source of electrons, as discussed in class. Based on the experimental results, explain why does the wavefunction (that describes such electrons) has to necessarily be a complex quan- tity? Question 6: Assume that a travelling wave packet's phase velocity is 23/k, where B' is a constant and k is wave number. Calculate the wave's group velocity. Question 7: Normalize the wavefunction (x) = Ae(-2x²/√√a³)+(ikx)