(comments to: moloney@nextwork.rose-hulman.edu)
(CUPS = Consortium
for Upper Level
Physics Software,
published by John Wiley)
Modern Physics Suggestions
from the CUPS
project
- Rutherford Scattering
- Electron Diffraction
- Special Relativity
- Laser Cavities and Dynamics
- Nuclear Properties and Decays
- Quantum Mechanics
- Hydrogenic Atoms and the H2+ Molecule
Rutherford Scattering
- Geiger and Marsden used 8.1 MeV alpha particles, scattered from a gold
foil.
Calculate the closest approach of such an alpha particle to a gole (Z=79)
nucleus.
Is it within range (10^-15 m) of the nuclear force?
- Calculate the deBroglie wavelength of an 8.1 MeV alpha particle.
Is this large or small compared to the distance of closest approach?
- Run the simulation of the Geiger-Marsden scintillation experiment.
If time is available, get enough points to observe a number of backscattered
(>150 degrees) alphas.
Electron Diffraction
- Repeat the Davisson-Germer experiment. Use the (111) plane and do runs
for accelerating voltages of 40,44,48,54,60, and 64 V. Record the height
of the peak at 130 degrees for each run.
Quantum Mechanics
- Beam of particles incident on a barrier. Run the 'barrier' section
of the program.
Observe the qualitative difference when the beam energy is above the 2
eV height of the barrier, and when the incoming beam energy is below the
2 eV barrier height.
Write down what you see for the wave function in each case, and give an
explanation for the difference in behavior.
- Run the 'Uncertainty Principle' part of the program.
Describe what happens to the spread in momentum as you make the particle
'smaller'.
Make a sketch of the momentum spread for a 'narrow' and a 'wide' electron
wave function.
Nuclear Decays
- In 'Geiger Tube Counting', do a run with the default parameters.
Press 'Poisson' to bring up a poisson distribution curve which you can
drag around on the screen. Since the GMT (geiger-muller tube) is 'dead'
for a period after each count, you should be able to explain why the GMT
distribution has a peak which is smaller than would be true for an 'ideal'
counting tube.
- Predict which way must you move the incoming count rate from its initial
value of 250/s so that the ideal and GMT curves will be closer together.
Make the change in count rate, do the run, and record the peak values of
each distribution.
- Change the incoming count rate to 8000/s. Now the counts are coming
in with an average spacing of 125 microseconds. Leave the geiger tube dead
time at 200 microseconds. Do a run and record the peak values of each distribution.
- Does the GMT distribution have the same 'width' as the ideal distribution?
- Bring up the poisson distribution and drag it over to the ideal distribution.
How does it fit?
- Drag the poission distribution over the GMT distribution. How does
it fit?
- Can you predict the peak of the GMT distribution if the count rate
were set to an enormous rate, like 1 million per second? [ Every time the
tube 'woke up' after being dead, bang! there would be another particle
to count.]