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# quiz3 - PHYSICS 2D PROF HIRSCH QUIZ 3 SPRING QUARTER 2008...

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PHYSICS 2D QUIZ 3 SPRING QUARTER 2008 PROF. HIRSCH MAY 2nd, 2008 Formulas : Time dilation; Length contraction: " t = # " t ' \$ # % ; 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 " = # 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 Force on charge q in r E and r B fields : r F = q ( r E + r v " r B ) ; centripetal acceleration = v 2 / R Stefan's law : R = " T 4 , R = power/unit area ; " = 5.67 # 10 \$ 8 W / m 2 K 4 ; R = cU /4 , U = energy density = u ( % ) d % 0 & Planck's law : u ( " , T ) = n ( " ) # \$ ( " , T ) = 8 % " 4 # hc / " e hc / " kT & 1 ; Wien's law : " m T = hc 4.96 k B Photoelectric effect : eV 0 = ( 1 2 mv 2 ) max = hf " # , # \$ work function Photons: E = hf = pc ; f = c / " ; Quantum oscillator : # n = nhf ; probability P ( # n ) \$ e % # n / k B T Compton scattering : " '- " = h m e c (1 # cos \$ ) ; Rutherford scattering: b = kq % Q m % v

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