Phys214Formulas and Constants - Final

Phys214Formulas and Constants - Final - Some useful...

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Some useful constants and formulae Speed of light 8 2.9979 10 / c m s = × Gravitational constant 11 2 2 6.67 10 / G N m kg = × Permittivity constant 12 0 8.85 10 / F m ε = × Permeability constant 6 0 1.26 10 / H m μ = × Near point P N = 25 cm Planck’s constant h = 6.63 x 10 -34 J.s = 4.14 x 10 -15 eV.s e = 1.60 x 10 -19 C atomic mass m ( 1 1 H) =1.007825 u m e = 9.11 x 10 -31 kg = 0.000549 u 1 u = 1.6605 x 10 -27 kg = 931.5 MeV/c 2 m p = 1.6726 x 10 -27 kg = 1.00728 u 1eV = 1.602 x 10 -19 J m N = 1.6749 x 10 -27 kg = 1.008665 u 1240 hc eV nm = Transverse Waves: ( , ) sin( ) m y x t y kx t ω = 2 k π λ = 2 2 f T π ω π = = v f T k λ ω λ = = = Electromagnetic Waves: ( , ) sin( ) m E x t E kx t ω = ( , ) sin( ) m B x t B kx t ω = m m E c B = 2 m rms E E = 0 0 1 c ε μ = 0 1 S E B μ = × r r r 2 0 0 1 1 S EB E c μ μ = = 2 0 1 rms I E c μ = 2 4 source P I r π = Unpolarized Light: 0 1 2 I I = Fully Polarized Light: 2 0 cos I I θ = Law of reflection 1 1 ' θ θ = Snell’s Law 1 1 2 2 sin sin n n θ θ = Total internal reflection 1 2 1 sin c n n θ = Brewster angle 1 2 1 tan B n n θ = Total Absorption c I p c = Total Reflection 2 r I p c = Mirrors and Lenses:
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