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quiz2 - PHYSICS 2D PROF HIRSCH QUIZ 2 WINTER QUARTER 2009 L...

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PHYSICS 2D QUIZ 2 WINTER QUARTER 2009 PROF. HIRSCH JANUARY 30, 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 " = # m u " ; E = # mc 2 ; K = ( # $ 1) mc 2 ; E 0 = 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 " 0 # $ ; 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 scattering : " '- " = h m e c (1 # cos $ ) ; h m e c = 0.0243 A Electrostatics: F = kq 1 q 2 r 2 (force) ; U = kq 1 q 2 r
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