quiz2formulas

# quiz2formulas - u d& ’ Planck's law u T = n \$ T = 8 4...

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PHYSICS 2D QUIZ 2 SPRING QUARTER 2008 PROF. HIRSCH APRIL 25, 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 " = mu " ; 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 =
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Unformatted text preview: u ( ) d & ’ 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 = ( 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 ) Constants: h = 4.136 " 10 # 15 eV \$ s ; hc = 12,400 eV A ; k B = 1/11,600 eV/K ; e =1.6 x 10-19 C Problem 1 Problem 2 Problem 3 Justify all your answers to all problems...
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