HW2 (2) - University of Colorado, Department of Physics...

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University of Colorado, Department of Physics PHYS3220, Fall 09, HW#2 due Wed, Sep 2, 2PM at start of class 1. Using the formula for four-momentum conservation (special relativity) to derive the depen- dence of the wavelength of the scattered radiation on the scattering angle in the Compton effect. How would you interpret the scattering contribution, which appears at the wave- length of the incident radiation at all scattering angles? (10 pts) 2. Derive the Bragg relation for the maxima in the scattering of monochromatic waves (wave- length λ ) at a chrystal: sin(Θ max ) = nλ/ 2 d with n = 1 , 2 , 3 , , and d is the lattice spacing. Assume that the wave penetrates up to the second plane of the lattice only. (10 pts) 3. Calculate the de-Broglie wavelength for a) a neutron with thermal energy E kin = 1/40 eV, b) an electron with kinetic energies of E kin = 10 eV, 1 keV, 1 MeV, c) a proton in the particle accelerator at CERN ( E kin = 270 GeV), d) a C 60 molecule with kinetic energy E kin
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This note was uploaded on 02/27/2012 for the course PHYSICS 3220 taught by Professor Stevepollock during the Fall '08 term at Colorado.

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HW2 (2) - University of Colorado, Department of Physics...

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