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Download Modern Physics Equations and Formulas PDF

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Time Dilation
t' = t
√(1 − v2/c2)
Length Contraction
ℓ' = ℓ √(1 − v2/c2)
Relativistic Mass
m' = m
√(1 − v2/c2)
Relative Velocity
u' = u + v
1 + uv/c2
Relativistic Energy
E = mc2
√(1 − v2/c2)
Relativistic Momentum
p = mv
√(1 − v2/c2)
Energy-Momentum
E2 = p2 c2 + m02c4
Mass-Energy
E = mc2
Relativistic Doppler Effect
Photon Energy
E = hf
Photoelectric Effect
Kmax = E − ϕ = h( − 0)
Photon Momentum
p = h
λ
Schroedinger's Equation
iℏ   Ψ(r,t) = −  2  ∇2Ψ(r,t) + V(r)Ψ(r,t)
∂t2m
Eψ(r) = −  2  ∇2ψ(r) + V(r)ψ(r)
2m
Heisenberg's Uncertainty Principle
Δpx Δx =  ℏ 
2
ΔE Δt = ℏ 
2
Rydberg Equation
1  = −R 
1 −  1
λn2n02
Half Life
N = N02t
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