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Unformatted text preview: Physics 2D Quiz Final Exam Department of Physics, UCSD Summer Session II  2009 Prof. Pathria 5 September 2009 Instructions 1. There are EIGHT questions on the exam — you may attempt ANY SIX. 2. All questions are of EQUAL value. 3. Please write your answers in the blue book and make sure that your secret code number is written on all pages with indelible ink. 1 Some Useful Numbers, Equations, and Identities Speed of light: c = 2 . 998 × 10 8 m/s Planck’s constant: h = 6 . 626 × 10 34 J · s ¯ h = h 2 π ; 1 eV = 1 . 602 × 10 19 J Coulomb’s constant: k = 8 . 99 × 10 9 Nm 2 /C 2 Electron Charge: e = 1 . 602 × 10 19 C Electron Mass: m e = 9 . 11 × 10 31 kg = 0 . 511MeV/c 2 Rydberg Constant: R = 1 . 097 × 10 7 m 1 Atomic Mass Unit: u = 1 . 6606 × 10 27 kg = 931.5 MeV/c 2 Proton Mass: m p = 1 . 673 × 10 27 kg = 938.3 MeV/c 2 = 1.0073 u Neutron Mass: m n = 1 . 675 × 10 27 kg = 939.6 MeV/c 2 = 1.0087 u Compton wavelength for an electron: h m e c = 0 . 00243 nm Compton scattering formula: λ λ = h m e c (1 cos θ ) Photoelectric equation: eV s = hf φ = h ( f f ) Momentum for a relativistic particle: p = γm u, γ = 1 q 1 v 2 c 2 Energy for a particle: E = K + mc 2 = γmc 2 Energymomentum relation (particle): p = 1 c p E 2 m 2 c 4 = 1 c √ 2 m c 2 K + K 2 Energymomentum relation (photon): E = pc Relative velocity: u = u v 1 uv c 2 Doppler Effect (light source approaching observer): f obs = f q 1+ v c 1 v c De Broglie wavelength: λ = h/p 2 Schr¨ odinger Equation: ¯ h 2 2 m d 2 ψ dx 2 + U ( x ) ψ = Eψ 1Dimensional Normalization Condition: R ∞∞ ψ * ψdx = R...
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This note was uploaded on 09/13/2010 for the course PHYS phys 2d taught by Professor Hirsch during the Spring '08 term at UCSD.
 Spring '08
 Hirsch
 Physics

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