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# quiz2formulas - m T = hc 4.96 k B Boltzmann distribution P...

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PHYSICS 2D QUIZ 2 WINTER QUARTER 2011 PROF. HIRSCH JANUARY 28th, 2011 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 :
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Unformatted text preview: 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 Justify all your answers to all problems. Write clearly....
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## This note was uploaded on 01/31/2012 for the course PHYS 2D 2D taught by Professor Sinha during the Spring '10 term at UCSD.

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