3063_ProblemSet6 - PHY3063 Spring 2007 Problem Set 6 PHY...

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PHY3063 Spring 2007 Problem Set 6 Department of Physics Page 1 of 3 PHY 3063 Problem Set #6 Due Tuesday March 20 (in class) (Total Points = 70, Late homework = 50%) Reading: Finish reading Tipler & Llewellyn Chapter 4 and start reading Chapter 5 and 6. Useful Math: ) ( 2 1 2 1 1 0 2 2 + + Γ = n n x a n a dx e x , where Γ (x) is the gamma function and Γ (x+1) = x Γ (x) . Γ (1) = Γ (2) = 1, Γ (n) = (n-1)! if n is a positive integer, and π = Γ ) ( 2 1 . Integration by parts: b a b a b a fg gdx dx df dx dx dg f + = Problem 1 (10 points): The De Broglie wavelength of a particle is Planck’s constant, h , divided by the particles momentum, p , as follows: p h = λ . The Compton wavelength of a particle is Planck’s constant, h , divided by mc , where m is the mass of the particle as follows: mc h e = . (a) (6 points) At what speed β = v/c is a particle’s De Broglie wavelength equal to its Compton wavelength? (b) (2 points) What is the De Broglie wavelength ( in nm ) of an electron with a kinetic energy of 54 eV ? (The mass of an electron is 0.511 MeV/c 2 .) (c) (2 points) What is the De Broglie wavelength ( in nm ) of a proton with a kinetic energy of
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This note was uploaded on 05/29/2011 for the course PHY 3063 taught by Professor Field during the Spring '07 term at University of Florida.

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3063_ProblemSet6 - PHY3063 Spring 2007 Problem Set 6 PHY...

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