quiz6formulas

quiz6formulas - PHYSICS 2D PROF HIRSCH QUIZ 6 Formulas Time...

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PHYSICS 2D QUIZ 6 FALL QUARTER 2009 PROF. HIRSCH DECEMBER 4th, 2009 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: r p = " m r u ; Energy : E = " mc 2 ; Kinetic energy: K = ( " # 1) mc 2 Rest energy : 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 Boltzmann distribution: P ( E ) = Ce - E /( k B T ) Planck's law : u " ( " , T ) = N " ( " ) # E ( " , T ) = 8 \$ " 4 # hc / " e hc / " k B T % 1 ; N ( f ) = 8 \$ f 2 c 3 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; Bragg equation : n % = 2 d sin & Compton scattering : " '- " = h m e c (1 # cos \$ ); h m e c = 0.0243 A ; Coulomb constant : ke 2 = 14.4 eV A

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