3.2 equations - wave-particle duality

Fizeau’s experiment calculating speed of light

(for n teeth and n gaps)

after 1/2n of a revolution a tooth will replace a gap

Time = 1/f → tooth will replace every 1/2nf seconds

distance = d, speed = 2d/ 1/2nf → 4dnf

Maxwell’s prediction of speed in a vacuum

C = 1/√(μ₀ x ε₀ )

Measuring stopping potential

E_k(max) = eV_s - V(derived from energy = Q x V)

E = hf = ϕ + E_k(max) → hf = ϕ + eV_s

V_s = hf/e - ϕ/e (Rearrange to make Vs the subject)

De Broglie wavelength derivation

0.5 mv² = eV (accelerating V and e q equal to kinetic)

m²v² = 2meV → mv = √2meV → λ = h / (√2meV)