Physics Equations: Harmonic Motion, Quantum, Waves, Sound, Relativity, Interference, Study Guides, Projects, Research of Physics

Download Physics Equations: Harmonic Motion, Quantum, Waves, Sound, Relativity, Interference and more Study Guides, Projects, Research Physics in PDF only on Docsity! Physics NYC Equation Sheet Simple Harmonic Motion xF kx= − ( ) cos( )ω φ= +x t A t 22 f T π ω π= = 2 LT g π= 2 mT k π= 21 2 vK m= gU mgh= 21 2sU kx= 21 2totalE K U kA= + = Quantum Physics hcE hf λ = = 0 φ= −eV hf 𝐾!"# = 𝑒𝑉! hp λ = ( )1 cos e h m c λ φΔ = − Δx Δpx ≥ ( ) 2 2 2 128n n hE n E mL = = 2( ) sin( )n n xx L L π ψ = 1 2 2 13.6eV n EE n n − = = Waves and Sound ( , ) A cos( )y x t kx tω= ± 2k π λ = v f k ω λ= = Fv µ = 2 21 av 2 F P Aµ ω= SW( , ) sin( )sin( )y x t A kx tω= f beat = Δf = f a − f b avPI A = 0 10log I I β ⎛ ⎞ = ⎜ ⎟ ⎝ ⎠ f L = v ±vL v vS ! " ## $ % && f S Relativity 0γΔ = Δt t 0 γ = ll 2 2 1 1 u c γ = − 21 / − = − x x x ' v uv v u c 21 / ʹ′ + = ʹ′+ x x x v uv v u c VAB = VAD +VDB 1+ VADVDB c 2 p = γm v 2 2E mc K mcγ= = + ( ) ( ) 2 22 2= +E mc pc Interference and Diffraction sind mθ λ= ( )12sind mθ λ= + sina mθ λ= 2 sinπ φ θ λ = d 2 sinπ β θ λ = a 1.22 λθ = D 2 max cos 2 I I φ⎛ ⎞= ⎜ ⎟ ⎝ ⎠ 2 max sin( / 2) / 2 I I β β ⎛ ⎞ = ⎜ ⎟ ⎝ ⎠ Constants Speed of sound in air (20°) = 343 m/s Threshold of hearing: 12 2 0 1.0 10 W/mI −= × Audible range: 20 Hz to 20000 Hz Visible spectrum: 400 nm to 700 nm 83.00 10 m/sc = × 191 eV 1.60 10 J−= × 31 e 2 9.11 10 kg 0.511 MeV/ m c −= × = 27 p n 2 1.67 10 kg 938 MeV/ m m c −= = × = 34 15 6.63 10 J s 4.14 10 eV s h − − = × ⋅ = × ⋅ 29.81 m/sg = 1 13.6 eVE = − for hydrogen atom e = 1.6 x 10-19 C