mexam2_practicea

Mexam2_practicea - Quantity Coulombs Constant Electron Mass Proton Mass Electron Charge Electron Volt Permitivity Magnetic Permeability Speed of

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Quantity Symbol Value Coulombs Constant 1 4 π± o 8 . 98 × 10 9 Nm 2 / C 2 Electron Mass m e 9 . 1 × 10 - 31 kg Proton Mass m p 1 . 67 × 10 - 27 kg Electron Charge e - 1 . 6 × 10 - 19 C Electron Volt eV 1 . 6 × 10 - 19 J Permitivity ± o 8 . 85 × 10 - 12 C 2 Nm 2 Magnetic Permeability μ o 4 π × 10 - 7 N · A 2 Speed of Light c 3 . 0 × 10 8 m / s Planck’s Constant h 6 . 6 × 10 - 34 m 2 kg / s Planck’s Constant/2 π ~ 1 . 05 × 10 - 34 m 2 kg / s Integrals Value R -∞ due - αu 2 p π α R -∞ duu 2 e - αu 2 1 2 α p π α R 0 duu n e - αu n ! α n +1 R du sin 2 ( αu ) u 2 - sin(2 αu ) 4 α R du cos 2 ( αu ) u 2 + sin(2 αu ) 4 α R + 1 2 - 1 2 duu 2 sin 2 ( nπu ) - 6+ n 2 π 2 24 n 2 π 2 n = 2 , 4 , 6 , 8 R + 1 2 - 1 2 duu 2 cos 2 ( nπu ) - 6+ n 2 π 2 24 n 2 π 2 n = 1 , 3 , 5 , 7 R (cos( θ )) α sin( θ ) - 1 α +1 (cos( θ )) α +1 R (sin( θ )) α cos( θ ) +1 α +1 (sin( θ )) α +1

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1. Consider the hydrogen atom. 1. (Numbers) An electrons starts in the n = 3 orbit of the hydrogen atom. Draw an energy level diagram exhibiting the subsequent decays to the ground state. Determine the energies of all the photons which are emitted. 2. (Number and Picture) Determine the wavelength of the most energetic photon which is emitted. Draw a schematic picture (or set of pictures if needed) which is approximately to scale showing the wavelength of the light, the atom, and the electron Compton length. 3. (Symbol) Starting from the Coulomb Law and the Bohr Quantization condition
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This note was uploaded on 01/25/2012 for the course PHYSICS 251 taught by Professor Staff during the Fall '11 term at SUNY Stony Brook.

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Mexam2_practicea - Quantity Coulombs Constant Electron Mass Proton Mass Electron Charge Electron Volt Permitivity Magnetic Permeability Speed of

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