quiz4 - PHYSICS 2D QUIZ 4 FALL QUARTER 2008 PROF. HIRSCH...

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Unformatted text preview: PHYSICS 2D QUIZ 4 FALL QUARTER 2008 PROF. HIRSCH NOVEMBER 7, 2008 Formulas : Time dilation; Length contraction: " t = # " t ' $ # " t p ; L = L p / # ; c = 3 % 10 8 m / s Lorentz transformation: x ' = " ( x # vt ) ; y '= y ; z '= z ; t ' = " ( t # vx / c 2 ) ; inverse: v $- v Spacetime interval: ( " s ) 2 =( c " t ) 2-[ " x 2 + " y 2 + " z 2 ] Velocity transformation: u x ' = u x " v 1 " u x v / c 2 ; u y ' = u y # (1 " u x v / c 2 ) ; inverse: v $- v Relativistic Doppler shift: f obs = f source 1 + v / c / 1 " v / c (approaching) Momentum, energy (total, kinetic, rest): p = # mu ; E = # mc 2 ; K = ( # 1) mc 2 ; E = mc 2 ; E = p 2 c 2 + m 2 c 4 Electron: m e = 0.511 MeV / c 2 Proton: m p = 938.26 MeV / c 2 Neutron: m n = 939.55 MeV / c 2 Atomic mass unit : 1 u = 931.5 MeV / c 2 ; electron volt : 1eV =1.6 " 10-19 J Stefan's law : e tot = T 4 , e tot = power/unit area ; = 5.67 10 8 W / m 2 K 4 e tot = cU /4 , U = energy density = u ( " , T ) d " # $ ; Wien's law : " m T = hc 4.96 k B Planck : E n = nhf ;...
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quiz4 - PHYSICS 2D QUIZ 4 FALL QUARTER 2008 PROF. HIRSCH...

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