quiz3 - PHYSICS 2D PROF. HIRSCH QUIZ 3 WINTER QUARTER 2009...

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PHYSICS 2D QUIZ 3 WINTER QUARTER 2009 PROF. HIRSCH FEBRUARY 6, 2009 Formulas: Time dilation; Length contraction: Δ t = γ Δ t ' Δ t p ; L = L p / c = 3 × 10 8 m / s 1 Lorentz transformation: x ' = ( x vt ) ; y '= y z z t ' = ( t vx / c 2 ) ; inverse: v - v Spacetime interval: ( Δ s ) 2 =( c Δ t ) 2 -[ Δ x 2 + Δ y 2 + Δ 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 + v / c 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 Stefan's law : e tot = σ T 4 , e tot = power/unit area ; = 5.67 × 10 8 W / m 2 K 4 e tot = cU /4 , U = energy density = u ( λ , T ) d 0 Wien's law : m T = hc 4.96 k B Planck : E n = nhf probability P ( E n ) e E n / k B T E ( , T ) = E n n P ( E n )/ P ( E n ) n Planck's law : u ( , T ) = N ( ) × E ( , T ) = 8 π 4 × hc / e hc / k B T 1 Photons: E = hf = pc f = c / hc =12,400 eV A k B = (1/11,600) eV / K
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This note was uploaded on 12/07/2009 for the course PHYS phys 2d taught by Professor Hirsch during the Winter '08 term at UCSD.

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quiz3 - PHYSICS 2D PROF. HIRSCH QUIZ 3 WINTER QUARTER 2009...

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