Problem1: Charged Particle in an E Field
If a positron (or electron antiparticle) beam is accelerated across a potential of 20 kV, find the final velocity y of the particles. Do this problem TWICE, once using MKS units (J for energy) and a second time using "modern" units (eV for energy). Use the following values for the positron's mass: 9.11 x 10¯³¹ kg or 0.511 MeV/c²

Problem 2: Charged Particle in a B Field
A beam of charged particles (electrons, positrons, and alpha particles) is accelerated by 50 kV and then enters a uniform magnetic field of 2 Tesla perpendicular to its velocity.
Find the radius of curvature R of the path of each type of particle and roughly sketch the particle paths for the field going into the page.
Note: me = 9.11 X 10¯³¹ kg and ma = 6.65 X 10¯²⁷ kg

Problem 3: Black Body Radiation
If the temperature of a black body is increased from 800 °C to 1200 °C, then find the increase in radiated power. Where is the peak wavelength now in the spectrum (IR, vis, UV).

Problem 4: Black Body Radiation
A 100W incandescent bulb has a tungsten filament at 2000 °C. If you model the bulb as a blackbody where the average photon energy is given by the peak wavelength of the blackbody spectrum, how many photons Nphoton is the bulb radiating per second?

Problem 5: Photoelectric Effect
Find the work function for an unknown metal if an incoming 3.5-eV photon ejects a photoelectron with 2 eV kinetic energy. Using this work function, find the stopping potential for an electron ejected using light with a 900 nm wavelength.

Problem 6: Photoelectric effect
Data for the stopping potential Vo versus wavelength λ for the photoelectric effect of an unknown metal are given in the table. Using Excel, plot the kinetic energy eV0 of the electrons VS. the incoming photon energy (hc/λ). From the linear fit of this graph, find the slope value, work function Q and threshold photon energy.
V0       λ(nm)    hc/λ (eV)
0.49       1250       0.99
0.74       1000       1.24
1.15       750       1.65
1.98       500       2.48
4.46       250       4.96

Problem 7: Compton Scattering
If a compton scattered photon "bounces back" at 180° and has a final energy of 250 keV, then find its energy before scattering from the electron. Can the outgoing photon have an energy of 255 keV or larger at this angle- why or why not?

Problem 8: Compton Scattering
If the wavelength of a photon is increased by 50% after scattering from an electron at 60°, then find its initial energy. Note: If the final wavelength λf is 50% longer than the initial wavelength M, then the change in wavelength Δλ must be 0.5λ1.

Problem1: Charged Particle in an E Field If a positron (or electro...