quiz3formulas

quiz3formulas - r F = q r E + q r v " r B ;...

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PHYSICS 2D QUIZ 3 FALL QUARTER 2009 PROF. HIRSCH OCTOBER 30th, 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 Force in electric and magnetic fields (Lorentz force):
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Unformatted text preview: r F = q r E + q r v " r B ; Drag force: D = 6 a v Rutherford scattering: " n = C sin 4 ( /2) ; h c = 1,973 eV A Hydrogen spectrum: 1 mn = R ( 1 m 2 # 1 n 2 ) ; R = 1.097 $ 10 7 m # 1 = 1 911.3 A Electrostatic force, energy: F = kq 1 q 2 r 2 ; U = kq 1 q 2 r . Centripetal force: F c = mv 2 r Bohr atom: E n = " ke 2 Z 2 r n = " Z 2 E n 2 ; E = ke 2 2 a =13.6 eV ; K = m e v 2 2 ; U = " ke 2 Z r hf = E i " E f ; r n = r n 2 ; r = a Z ; a = h 2 m e ke 2 = 0.529 A ; L = m e vr = n h angular momentum de Broglie: = h p ; f = E h ; = 2 f ; k = 2 ; E = h ; p = h k ; E = p 2 2 m Justify all your answers to all problems...
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