Advanced Physics about Modern Physics

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(1) (a) In class we computed the energy of a Compton scattered photon as a function of the scattering angle. Repeat the calculation but, this time, do it for the case of two photons scattering off of each other. In other words, compute the energy of a scattered photon (pick one) as a function of the scattering angle of that photon. The two incoming photons need NOT have the same energy. ६ Ese اور innsam r rr Xuvent (Note: This is believed to be a VERY rare process at best.) (b) Suppose that one of the incident photons has energy 2 MeV and the other has 1 MeV. Graph the energy of (either) one of the scattered photons as a function of angle from 0 to 180 degrees. (2) Fill in the missing steps in our analysis of the relationship between magnetic and electric fields, i.e., compute Yu - Yy and get the result quoted in class. (3) The old LEP machine at CERN collided electrons and positrons (anti-electrons). Each beam had around 100 GeV of energy. (a) What was y? (b) What was the energy available for making new particles? (c) Suppose that, instead of colliding the particles, LEP had shot them into a fixed target. What energy would have been available for making new particles? (4) (a) Using 4-vectors, show that the photoelectric effect (a photon being absorbed by a particle initially at rest) is physically impossible if no other objects are present. (b) The photoelectric effect is possible if a nucleus is nearby. Qualitatively speaking, why is this? Explain.
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