quiz2 - Physics 2D — Spring 2010 Quiz #2: Quantum Theory...

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Unformatted text preview: Physics 2D — Spring 2010 Quiz #2: Quantum Theory of Light and Matter Friday April 16 11:00am to 11:50am [Note: This is a closed-book exam. No note is allowed. The total score of this exam is 50 points. Points assigned to each problem is a guide to how many minutes you should spend working on it.] Possibly useful formulae: • Binomial expansion: (1 + x ) n = 1 + n · x + n ( n- 1) 2 x 2 + ... • Taylor expansion for exponential functions: e x = 1 + x + 1 2 x 2 + ... • wave speed for light: c = f · λ • energy-momentum relation: E 2 = p 2 c 2 + m 2 c 4 • Raleigh-Jean’s law: u ( f,T ) = 8 πf 2 c 3 · k B T • Wien’s empirical formula: u ( f,T ) = Af 3 · e- Bf/T • Bohr’s quantization condition: m e · v · r = n ¯ h ; ¯ h ≡ h/ (2 π ). • energy levels of the hydrogen atom: E n =-E /n 2 • radii of the allowed electron orbit for hydrogen atom: r n = a · n 2 1 1. Short answers: [10/50 points] (a) Einstein was awarded a Nobel prize for the equation E = hf . de Broglie was awarded....
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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.

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quiz2 - Physics 2D — Spring 2010 Quiz #2: Quantum Theory...

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