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quiz4

# quiz4 - sin 2 x = 1 2(1-cos 2 x cos 2 x = 1 2(1 cos 2 x R...

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Physics 2D Quiz #4 Department of Physics, UCSD Summer Session II - 2010 Prof. Pathria 27 August 2010 Some Useful Data Speed of light: c = 2 . 998 × 10 8 m/s Planck’s constant: h = 6 . 626 × 10 - 34 J · s Rest mass of an electron: m e = 9 . 109 × 10 - 31 kg = 0 . 511 MeV/c 2 Rest mass of a proton: m p = 1 . 673 × 10 - 27 kg = 938 . 3 MeV/c 2 Schr¨ odinger wave equation: - ¯ h 2 2 m d 2 ψ dx 2 + U ( x ) ψ = Potential energy of a simple harmonic oscillator: U ( x ) = 1 2 Kx 2 = 1 2 2 x 2 Some Useful Formulae

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Unformatted text preview: sin 2 x = 1 2 (1-cos 2 x ) cos 2 x = 1 2 (1 + cos 2 x ) R ∞ e-αx 2 dx = 1 2 q π α R ∞ x 2 e-αx 2 dx = 1 4 q π α 3 R ∞ x 4 e-αx 2 dx = 3 8 q π α 5 Instructions Please write your answers in your blue book, and make sure your secret code number is written on all pages in indelible ink. 1...
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quiz4 - sin 2 x = 1 2(1-cos 2 x cos 2 x = 1 2(1 cos 2 x R...

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