quiz6 - PHYSICS 2D QUIZ 6 WINTER QUARTER 2009 PROF HIRSCH...

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Unformatted text preview: PHYSICS 2D QUIZ 6 WINTER QUARTER 2009 PROF. HIRSCH MARCH 13, 2009 Formulas : Time dilation; Length contraction: " t = # " t ' $ # " t p ; L = L p / # ; c = 3 % 10 8 m / s 1 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 ; probability P ( E n ) " e # E n / k B T ; E ( $ , T ) = E n n % P ( E n )/ P ( E n ) n % Planck's law : u ( " , T ) = N ( " ) ¡ E ( " , T ) = 8 ¢ " 4 ¡ hc / " e hc / " k B T £ 1 Photons: E = hf = pc ; f = c / " ; hc =12,400 eV A ; k B = (1/11,600) eV / K Photoelectric effect : eV S = k max = hf " # , # $ work function COmPTON ¡cATTeRiNg¢...
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quiz6 - PHYSICS 2D QUIZ 6 WINTER QUARTER 2009 PROF HIRSCH...

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