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4es04final - Extra Material!

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Page 1 of 7 Department of Physics University of California San Diego Modern Physics (4E) Prof. V. Sharma Final Exam (June 11, 2004) Problem 1: Mystery Metal:[20 pts] Photons of wavelength 450nm are incident on a metal. The most energetic electrons ejected from the metal are bent into a circular arc of radius 20cm in a magnetic field whose strength is equal to 2.0 ! 10 -5 T. What is the work function of the metal? Problem 2: Quantum Pool:[20 pts] An x-ray photon of wavelength 0.02480nm strikes a free stationary electron. The photon scatters off at 90 o with respect to the direction of incidence. Determine (a) the momentum of the incident photon (b) the momentum of the scattered photon (c) the kinetic energy of the scattered electron, and (d) the wavelength of the scattered photon. Problem 3: Across The Universe! :[20 pts] An air gun is used to shoot 1.0g particles at 100m/s through a bore (hole) of diameter 2.0mm. How far from the rifle must an observer be to see the beam spread by 1.0cm because of the uncertainty principle?
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