exam1_003 - Physics 3101, Introduction to Modern Physics ,...

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Unformatted text preview: Physics 3101, Introduction to Modern Physics , Fall 2004 EXAM #1 Friday, October 8, 2004 Instructions Read each problem carefully before starting. Choose 3 of the following 4 problems. Remember to work each problem as fully as possible. Partial credit will be given so SHOW ALL OF YOUR WORK!! Constants: c = 3 x 10 8 m/s h = 6.63 x 10-34 J s = 4.14 x 10-15 eV s h = h/2 π k = 4 1 πε = 8.99 x 10 9 N m 2 /C 2 hc = 1240 eV nm k = Boltzmann’s constant = 1.38 x 10-23 J/K = 8.61 x 10-5 eV/K m e = 9.11 x 10-31 kg 1 MeV/c 2 = 1.783 x 10-30 kg Useful integrals: ∫ ∞ = − 4 3 15 1 π dx e x x ∫ ∞ ∞ − − = π du e u 2 1. A neutral ‘K’ particle (rest mass m ) has a momentum 2 mc decays into two photons γ 1 and γ 2 , with one photon emitted in the original direction of the ‘K’particle and the other in the opposite direction. Before: After: ‘K’ γ 1 γ 2 (a) What is the total energy (in terms of m ) of the ‘K’ particle before it decays? (10 points) (b) How fast (in units of c) is the ‘K’ particle traveling? (10 points) (c)...
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This note was uploaded on 12/15/2011 for the course PHY 3101 taught by Professor Staff during the Fall '08 term at University of Florida.

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exam1_003 - Physics 3101, Introduction to Modern Physics ,...

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