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Problem set 11 from physics 2220 (schroeder) for the fall 2005 semester. The problem set covers various topics related to the photoelectric effect, wave-particle duality, and de broglie wavelength. Students are expected to apply concepts of energy, momentum, voltage, wave physics, and the wavefunction to solve problems. Questions include calculating the average energy of a photon, planck's constant, work function, momentum and wavelength of photons and particles, and the voltage difference for electron interference.
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Physics 2220 (Schroeder) Name fall 2005
(due Friday, November 11)
The Einstein relation between energy and frequency (useful only for photons) is
E = hf,
where h is Planck’s constant, 6. 63 × 10 −^34 J-s. You should be able to apply this equation to explain the results of the photoelectric effect experiment.
The de Broglie relation between momentum and wavelength (useful for photons as well as electrons) is
p =
h λ
You should know enough about energy and momentum and voltage and wave physics to apply this equation to electrons and other particles in a variety of situations (as in the homework).
You should understand the concept of a “wavefunction”, and be able to draw wavefunctions with definite position and definite momentum. You should understand the interpretation of the square of the wavefunction as being proportional to the probability of finding the particle at a given location. You should be able to use the concept of a wavefunction to explain the results of interference experiments with photons and other particles.