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# quiz5 - PHYSICS 2D PROF HIRSCH Formulas QUIZ 5 SPRING...

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PHYSICS 2D QUIZ 5 SPRING QUARTER 2005 PROF. HIRSCH MAY 13 2005 Formulas: Time dilation/length contraction: D t = g t ; L = L p g ; g = 1 1 - v 2 / c 2 ; c = 3 10 8 m / s Lorentz transformation: x ' = g ( x - vt ) ; y '= y ; z '= z ; t ' = g ( t - vx / c 2 ) ; inverse : v - v Velocity transformation: u x ' = u x - v 1 - u x v / c 2 ; u y ' = u y g (1 - u x v / c 2 ) ; inverse : v - v Relativistic Doppler shift : f obs = f source 1 + v / c / 1 - v / c Momentum, energy (total, kinetic, rest) : p = g m u ; E = g mc 2 ; K = ( g - 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 Electron : m e = 9.109 10 - 31 kg Proton : m p = 1.673 10 - 27 kg Neutron : m n = 1.675 10 - 27 kg electron charge = - e , proton charge = e , e =1.6 10 -19 C ; Atomic mass unit :1 u = 931.5 MeV / c 2 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 = s T 4 , R = power/unit area ; s = 5.67 ¥ 10 - 8 W / m 2 K 4 ; R = cU /4 , U = energy density = u ( l ) d l 0 Planck's law : u ( l , T ) = n ( l ) e ( l , T ) = 8 p l 4 hc / l e hc / l k B T - 1 ; Wien's law : l m T = hc 4.96 k B Photoelectric effect : eV 0 = ( 1 2 mv 2 ) max = hf - f , f work function Photons: E = hf = pc ; f = c / l ; Quantum oscillator : e n = nhf ; probability P ( e n ) μ e - e n / k B T Compton scattering: l '- l = h m e c (1 - cos q ) Rutherford scattering: D N = C

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