Final Exam Preparation: Formulas and Calculations, Exams of Physics

Download Final Exam Preparation: Formulas and Calculations and more Exams Physics in PDF only on Docsity! Test Information for Final Exam: New formulas to memorize: New formulas to know how to use, but you need not memorize: Old formulas to memorize: Images 1 1 1 p q f + = Focal Length 1 2f R= 2 1 1 2 1 1 11n f n R R ⎛ ⎞⎛ ⎞ = − −⎜ ⎟⎜ ⎟ ⎝ ⎠⎝ ⎠ Diffraction min min a D θ λ θ λ ≈ ≈ Diffraction Grating sin m dθ λ= Relativity ( ) P P L L t t γ γ = Δ = Δ Magnification M h h q p′≡ = − 0m θ θ≡ 2-Slit Interference brightsin m d λθ = 2 max sincos dI I π θ λ ⎛ ⎞= ⎜ ⎟ ⎝ ⎠ Diffraction ( ) dark 2 max sin sin sin sin m d a I I a λθ π θ λ π θ λ = ⎡ ⎤ = ⎢ ⎥ ⎣ ⎦ You must memorize that m is any integer, except it can’t be zero for diffraction Telescope Magnification o em f f= Diffraction Grating Position on a screen tan sinx L Lθ θ= ≈ Thin Film Weak2t mλ= X-Ray Scattering 2 cosd mθ λ= Brewster’s Angle 2 1tan P n nθ = Relativity 2 2 2 1 1 1 v c u vu uv c γ = − −′ = − Relativistic Doppler Effect 0 1 1 v cf f v c + = − Electric Field 2 ˆek q r = rE E & M Force ( )q= + ×F E v B Gauss’s Laws in 0 ˆ ˆ 0 qdA dA ε ⋅ = ⋅ = ∫ ∫ E n B n Flux Definitions E B EA BA Φ = Φ = Potential e x U qV k qV r VE x = = ∂ = − ∂ Units A = C/s N/C = V/m F = C/V Ω = V/A T = N/A/m H = V⋅s/A Current & Resistance ( ) dQI dt V IR I V = Δ = = ΔP Capacitance Q C V= Δ Kirchoff’s Laws in out loop 0 I I V = = Δ ∑ ∑ ∑ Ampere’s Law 0 in 0 0 Edd I dt μ μ ε Φ⋅ = +∫ B s Faraday’s Law Bd dt Φ = −E Inductors dIL dt = −E Speed of Light 83.00 10 m/s k f v c n c ω λ= = = = × Reflection & Refraction 1 1 2 2sin sin i r n n θ θ θ θ = = In a medium, c, f, and ω stay constant, but v, k, and λ can change. 0 nλ λ= Frequency & wavelength 2 1 2 f f T k ω π λ π = = =